diff --git a/src/docs/chap-networking.md b/src/docs/chap-networking.md
index 24883d660..d828dba51 100644
--- a/src/docs/chap-networking.md
+++ b/src/docs/chap-networking.md
@@ -655,3 +655,334 @@ $$
   For example, the boolean indicator of the validator at index 3 in the authority set must be placed at index *3* in ${V}_{{n}}$. This sorting allows clients to map public keys to their corresponding boolean indicators.
 
 - ${R}_{{\text{sig}}}$ is the MMR root of the signatures in the original signed BEEFY commitment ([Definition -def-num-ref-](chap-networking#defn-grandpa-beefy-signed-commitment)).
+:::
+
+### -sec-num- Notification Messages {#id-notification-messges}
+
+The notification messages are exchanged between validators, including messages sent by collators to validators. The protocol messages are exchanged based on a streaming notification substream ([Section -sec-num-ref-](chap-networking#sect-connection-establishment)). The messages are SCALE encoded ([Section -sec-num-ref-](id-cryptography-encoding#sect-scale-codec)).
+
+###### Definition -def-num- Validator Protocol Message {#net-msg-validator-protocol-message}
+:::definition
+
+The validator protocol message is a varying datatype used by validators to broadcast relevant information about certain steps in the A&V process. Specifically, this includes the backing process ([Section -sec-num-ref-](chapter-anv#sect-candidate-backing)) and the approval process ([Section -sec-num-ref-](chapter-anv#sect-approval-voting)). The validator protocol message, ${M}$, is a varying datatype of the following format:
+
+$$
+{M}={\left\lbrace\begin{matrix}{1}&\rightarrow&{M}_{{f}}\\{3}&\rightarrow&{M}_{{s}}\\{4}&\rightarrow&{M}_{{a}}\end{matrix}\right.}
+$$
+
+**where**  
+- ${M}_{{f}}$ is a bitfield distribution message ([Definition -def-num-ref-](chapter-anv#net-msg-bitfield-dist-msg)).
+
+- ${M}_{{s}}$ is a statement distribution message ([Definition -def-num-ref-](chapter-anv#net-msg-statement-distribution)).
+
+- ${M}_{{a}}$ is a approval distribution message ([Definition -def-num-ref-](chapter-anv#net-msg-approval-distribution)).
+
+:::
+###### Definition -def-num- Collation Protocol Message {#net-msg-collator-protocol-message}
+:::definition
+
+The collation protocol message, M, is a varying datatype of the following format:
+
+$$
+{M}={\left\lbrace\begin{matrix}{0}&\rightarrow&{M}_{{c}}\end{matrix}\right.}
+$$
+
+where ${M}_{{c}}$ is the collator message ([Definition -def-num-ref-](chapter-anv#net-msg-collator-message)).
+
+:::
+###### Definition -def-num- Collator Message {#net-msg-collator-message}
+:::definition
+
+The collator message is sent as part of the collator protocol message ([Definition -def-num-ref-](chapter-anv#net-msg-collator-protocol-message)). The collator message, ${M}$, is a varying datatype of the following format:
+
+$$
+{M}={\left\lbrace\begin{matrix}{0}&\rightarrow&{\left({C}_{{i}},{P}_{{i}},{C}_{{s}}\right)}\\{1}&\rightarrow&{H}\\{4}&\rightarrow&{\left({B}_{{h}},{S}\right)}\end{matrix}\right.}
+$$
+
+**where**  
+- ${M}$ is a varying datatype where *0* indicates the intent to advertise a collation and *1* indicates the advertisement of a collation to a validator. *4* indicates that a collation sent to a validator was seconded.
+
+- ${C}_{{i}}$ is the public key of the collator.
+
+- ${P}_{{i}}$ is the parachain Id ([Definition -def-num-ref-](chapter-anv#defn-para-id)).
+
+- ${C}_{{s}}$ is the signature of the collator using the *PeerId* of the collators node.
+
+- ${H}$ is the hash of the parachain block ([Definition -def-num-ref-](chapter-anv#defn-para-block)).
+
+- ${S}$ is a full statement ([Definition -def-num-ref-](chapter-anv#defn-statement)).
+
+:::
+###### Definition -def-num- Statement Distribution Message {#net-msg-statement-distribution}
+:::definition
+
+The statement distribution message is sent as part of the validator protocol message ([Definition -def-num-ref-](chapter-anv#net-msg-collator-protocol-message)) indicates the validity vote of a validator for a given candidate, described further in [Section -sec-num-ref-](chapter-anv#sect-candidate-statements). The statement distribution message, ${M}$, is of varying type of the following format:
+
+$$
+{M}={\left\lbrace\begin{matrix}{0}&\rightarrow&{\left({B}_{{h}},{S}\right)}\\{1}&\rightarrow&{S}_{{m}}\end{matrix}\right.}
+$$
+$$
+{S}_{{m}}={\left({B}_{{h}},{C}_{{h}},{A}_{{i}},{A}_{{s}}\right)}
+$$
+
+**where**  
+- ${M}$ is a varying datatype where *0* indicates a signed statement and *1* contains metadata about a seconded statement with a larger payload, such as a runtime upgrade. The candidate itself can be fetched via the request/response message ([Definition -def-num-ref-](chapter-anv#net-msg-statement-fetching-request)).
+
+- ${B}_{{h}}$ is the hash of the relay chain parent, indicating the state this message is for.
+
+- ${S}$ is a full statement ([Definition -def-num-ref-](chapter-anv#defn-statement)).
+
+- ${A}_{{i}}$ is the validator index in the authority set ([Definition -def-num-ref-](chap-sync#defn-authority-list)) that signed this message.
+
+- ${A}_{{s}}$ is the signature of the validator.
+
+:::
+###### Definition -def-num- Bitfield Distribution Message {#net-msg-bitfield-dist-msg}
+:::definition
+
+The bitfield distribution message is sent as part of the validator protocol message ([Definition -def-num-ref-](chapter-anv#net-msg-validator-protocol-message)) and indicates the availability vote of a validator for a given candidate, described further in [Section -sec-num-ref-](chapter-anv#sect-availability-votes). This message is sent in form of a validator protocol message ([Definition -def-num-ref-](chapter-anv#net-msg-validator-protocol-message)). The bitfield distribution message, ${M}$, is a datastructure of the following format:
+
+$$
+{M}={\left\lbrace\begin{matrix}{0}&\rightarrow&{\left({B}_{{h}},{P}\right)}\end{matrix}\right.}
+$$
+$$
+{P}={\left({d},{A}_{{i}},{A}_{{s}}\right)}
+$$
+
+**where**  
+- ${B}_{{h}}$ is the hash of the relay chain parent, indicating the state this message is for.
+
+- ${d}$ is the bitfield array ([Definition -def-num-ref-](chapter-anv#defn-bitfield-array)).
+
+- ${A}_{{i}}$ is the validator index in the authority set ([Definition -def-num-ref-](chap-sync#defn-authority-list)) that signed this message.
+
+- ${A}_{{s}}$ is the signature of the validator.
+
+:::
+###### Definition -def-num- Approval Distribution Message {#net-msg-approval-distribution}
+:::definition
+
+The approval distribution message is sent as part of the validator protocol message ([Definition -def-num-ref-](chapter-anv#net-msg-validator-protocol-message)) and indicates the approval vote of a validator for a given candidate, described further in [Section -sec-num-ref-](chapter-anv#sect-availability-assignment-criteria). The approval distribution message, ${M}$, is a varying datatype of the following format:
+
+$$
+{M}={\left\lbrace\begin{matrix}{0}&\rightarrow&{\left({\left({C}_{,}{I}_{{}}\right)}_{{0}}…{\left({C},{I}\right)}_{{n}}\right)}\\{1}&\rightarrow&{\left({V}_{{0}},…{V}_{{n}}\right)}\end{matrix}\right.}
+$$
+$$
+{C}={\left({B}_{{h}},{A}_{{i}},{c}_{{a}}\right)}
+$$
+$$
+{c}_{{a}}={\left({c}_{{k}},{P}_{{o}},{P}_{{p}}\right)}
+$$
+$$
+{c}_{{k}}={\left\lbrace\begin{matrix}{0}→{s}\\{1}→{i}\end{matrix}\right.}
+$$
+$$
+{V}={\left({B}_{{h}},{I},{A}_{{i}},{A}_{{s}}\right)}
+$$
+
+**where**  
+- ${M}$ is a varying datatype where *0* indicates assignments for candidates in recent, unfinalized blocks and *1* indicates approvals for candidates in some recent, unfinalized block.
+
+- ${C}$ is an assignment criterion which refers to the candidate under which the assignment is relevant by the block hash.
+
+- ${I}$ is an unsigned 32-bit integer indicating the index of the candidate, corresponding the the order of the availability cores ([Section -sec-num-ref-](chap-runtime-api#sect-rt-api-availability-cores)).
+
+- ${B}_{{h}}$ is the relay chain block hash where the candidate appears.
+
+- ${A}_{{i}}$ is the authority set Id ([Definition -def-num-ref-](sect-finality#defn-authority-set-id)) of the validator that created this message.
+
+- ${A}_{{s}}$ is the signature of the validator issuing this message.
+
+- ${c}_{{a}}$ is the certification of the assignment.
+
+- ${c}_{{k}}$ is a varying datatype where *0* indicates an assignment based on the VRF that authorized the relay chain block where the candidate was included, followed by a sample number, ${s}$. *1* indicates an assignment story based on the VRF that authorized the relay chain block where the candidate was included combined with the index of a particular core. This is described further in [Section -sec-num-ref-](chapter-anv#sect-approval-voting).
+
+- ${P}_{{o}}$ is a VRF output and ${P}_{{p}}$ its corresponding proof.
+
+:::
+### -sec-num- Request & Response {#id-request-response}
+
+The request & response network messages are sent and received between peers in the Polkadot network, including collators and non-validator nodes. Those messages are conducted on the request-response substreams ([Section -sec-num-ref-](chap-networking#sect-connection-establishment)). The network messages are SCALE encoded as described in Section ?.
+
+###### Definition -def-num- PoV Fetching Request {#net-msg-pov-fetching-request}
+:::definition
+
+The PoV fetching request is sent by clients who want to retrieve a PoV block from a node. The request is a datastructure of the following format:
+
+$$
+{C}_{{h}}
+$$
+
+where ${C}_{{h}}$ is the 256-bit hash of the PoV block. The response message is defined in [Definition -def-num-ref-](chapter-anv#net-msg-pov-fetching-response).
+
+:::
+###### Definition -def-num- PoV Fetching Response {#net-msg-pov-fetching-response}
+:::definition
+
+The PoV fetching response is sent by nodes to the clients who issued a PoV fetching request ([Definition -def-num-ref-](chapter-anv#net-msg-pov-fetching-request)). The response, ${R}$, is a varying datatype of the following format:
+
+$$
+{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&{B}\\{1}&\rightarrow&\phi\end{matrix}\right.}
+$$
+
+where *0* is followed by the PoV block and *1* indicates that the PoV block was not found.
+
+:::
+###### Definition -def-num- Chunk Fetching Request {#net-msg-chunk-fetching-request}
+:::definition
+
+The chunk fetching request is sent by clients who want to retrieve chunks of a parachain candidate. The request is a datastructure of the following format:
+
+$$
+{\left({C}_{{h}},{i}\right)}
+$$
+
+where ${C}_{{h}}$ is the 256-bit hash of the parachain candidate and ${i}$ is a 32-bit unsigned integer indicating the index of the chunk to fetch. The response message is defined in [Definition -def-num-ref-](chapter-anv#net-msg-chunk-fetching-response).
+
+:::
+###### Definition -def-num- Chunk Fetching Response {#net-msg-chunk-fetching-response}
+:::definition
+
+The chunk fetching response is sent by nodes to the clients who issued a chunk fetching request ([Definition -def-num-ref-](chapter-anv#net-msg-chunk-fetching-request)). The response, ${R}$, is a varying datatype of the following format:
+
+$$
+{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&{C}_{{r}}\\{1}&\rightarrow&\phi\end{matrix}\right.}
+$$
+$$
+{C}_{{r}}={\left({c},{c}_{{p}}\right)}
+$$
+
+where *0* is followed by the chunk response, ${C}_{{r}}$ and *1* indicates that the requested chunk was not found. ${C}_{{r}}$ contains the erasure-encoded chunk of data belonging to the candidate block, ${c}$, and ${c}_{{p}}$ is that chunks proof in the Merkle tree. Both ${c}$ and ${c}_{{p}}$ are byte arrays of type ${\left({b}_{{n}}…{b}_{{m}}\right)}$.
+
+:::
+###### Definition -def-num- Available Data Request {#net-msg-available-data-request}
+:::definition
+
+The available data request is sent by clients who want to retrieve the PoV block of a parachain candidate. The request is a datastructure of the following format:
+
+$$
+{C}_{{h}}
+$$
+
+where ${C}_{{h}}$ is the 256-bit candidate hash to get the available data for. The response message is defined in [Definition -def-num-ref-](chapter-anv#net-msg-available-data-response).
+
+:::
+###### Definition -def-num- Available Data Response {#net-msg-available-data-response}
+:::definition
+
+The available data response is sent by nodes to the clients who issued a available data request ([Definition -def-num-ref-](chapter-anv#net-msg-available-data-request)). The response, ${R}$, is a varying datatype of the following format:
+
+$$
+{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&{A}\\{1}&\rightarrow&\phi\end{matrix}\right.}
+$$
+$$
+{A}={\left({P}_{{{ov}}},{D}_{{{pv}}}\right)}
+$$
+
+where *0* is followed by the available data, ${A}$, and *1* indicates the the requested candidate hash was not found. ${P}_{{{o}{v}}}$ is the PoV block ([Definition -def-num-ref-](chapter-anv#defn-para-block)) and ${D}_{{{p}{v}}}$ is the persisted validation data ([Definition -def-num-ref-](chap-runtime-api#defn-persisted-validation-data)).
+
+:::
+###### Definition -def-num- Collation Fetching Request {#net-msg-collation-fetching-request}
+:::definition
+
+The collation fetching request is sent by clients who want to retrieve the advertised collation at the specified relay chain block. The request is a datastructure of the following format:
+
+$$
+{\left({B}_{{h}},{P}_{{{id}}}\right)}
+$$
+
+where ${B}_{{h}}$ is the hash of the relay chain block and ${P}_{{{i}{d}}}$ is the parachain Id ([Definition -def-num-ref-](chapter-anv#defn-para-id)). The response message is defined in [Definition -def-num-ref-](chapter-anv#net-msg-collation-fetching-response).
+
+:::
+###### Definition -def-num- Collation Fetching Response {#net-msg-collation-fetching-response}
+:::definition
+
+The collation fetching response is sent by nodes to the clients who issued a collation fetching request ([Definition -def-num-ref-](chapter-anv#net-msg-collation-fetching-request)). The response, ${R}$, is a varying datatype of the following format:
+
+$$
+{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&{\left({C}_{{r}},{B}\right)}\end{matrix}\right.}
+$$
+
+where ${0}$ is followed by the candidate receipt ([Definition -def-num-ref-](chapter-anv#defn-candidate-receipt)), ${C}_{{r}}$, as and the PoV block ([Definition -def-num-ref-](chapter-anv#defn-para-block)), ${B}$. This type does not notify the client about a statement that was not found.
+
+:::
+###### Definition -def-num- Statement Fetching Request {#net-msg-statement-fetching-request}
+:::definition
+
+The statement fetching request is sent by clients who want to retrieve statements about a given candidate. The request is a datastructure of the following format:
+
+$$
+{\left({B}_{{h}},{C}_{{h}}\right)}
+$$
+
+where ${B}_{{h}}$ is the hash of the relay chain parent and ${C}_{{h}}$ is the candidate hash that was used to create a committed candidate receipt ([Definition -def-num-ref-](chapter-anv#defn-committed-candidate-receipt)). The response message is defined in [Definition -def-num-ref-](chapter-anv#net-msg-statement-fetching-response).
+
+:::
+###### Definition -def-num- Statement Fetching Response {#net-msg-statement-fetching-response}
+:::definition
+
+The statement fetching response is sent by nodes to the clients who issued a collation fetching request ([Definition -def-num-ref-](chapter-anv#net-msg-statement-fetching-request)). The response, ${R}$, is a varying datatype of the following format:
+
+$$
+{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&{C}_{{r}}\end{matrix}\right.}
+$$
+
+where ${C}_{{r}}$ is the committed candidate receipt ([Definition -def-num-ref-](chapter-anv#defn-committed-candidate-receipt)). No response is returned if no statement is found.
+
+:::
+#### -sec-num- Dispute Request {#net-msg-dispute-request}
+
+The dispute request is sent by clients who want to issue a dispute about a candidate. The request, ${D}_{{r}}$, is a datastructure of the following format:
+
+$$
+{D}_{{r}}={\left({C}_{{r}},{S}_{{i}},{I}_{{v}},{V}_{{v}}\right)}
+$$
+$$
+{I}_{{v}}={\left({A}_{{i}},{A}_{{s}},{k}_{{i}}\right)}
+$$
+$$
+{V}_{{v}}={\left({A}_{{i}},{A}_{{s}},{k}_{{v}}\right)}
+$$
+$$
+{k}_{{i}}={\left\lbrace\begin{matrix}{0}&\rightarrow&\phi\end{matrix}\right.}
+$$
+$$
+{k}_{{v}}={\left\lbrace\begin{matrix}{0}&\rightarrow&\phi\\{1}&\rightarrow&{C}_{{h}}\\{2}&\rightarrow&{C}_{{h}}\\{3}&\rightarrow&\phi\end{matrix}\right.}
+$$
+
+**where**  
+- ${C}_{{r}}$ is the candidate that is being disputed. The structure is a candidate receipt ([Definition -def-num-ref-](chapter-anv#defn-candidate-receipt)).
+
+- ${S}_{{i}}$ is an unsigned 32-bit integer indicating the session index the candidate appears in.
+
+- ${I}_{{v}}$ is the invalid vote that makes up the request.
+
+- ${V}_{{v}}$ is the valid vote that makes this dispute request valid.
+
+- ${A}_{{i}}$ is an unsigned 32-bit integer indicating the validator index in the authority set ([Definition -def-num-ref-](chap-sync#defn-authority-list)).
+
+- ${A}_{{s}}$ is the signature of the validator.
+
+- ${k}_{{i}}$ is a varying datatype and implies the dispute statement. *0* indicates an explicit statement.
+
+- ${k}_{{v}}$ is a varying datatype and implies the dispute statement.
+
+  - ${0}$ indicates an explicit statement.
+
+  - ${1}$ indicates a seconded statement on a candidate, ${C}_{{h}}$, from the backing phase. ${C}_{{h}}$ is the hash of the candidate.
+
+  - ${2}$ indicates a valid statement on a candidate, ${C}_{{h}}$, from the backing phase. ${C}_{{h}}$ is the hash of the candidate.
+
+  - ${3}$ indicates an approval vote from the approval checking phase.
+
+The response message is defined in [Section -sec-num-ref-](chapter-anv#net-msg-dispute-response).
+
+#### -sec-num- Dispute Response {#net-msg-dispute-response}
+
+The dispute response is sent by nodes to the clients who who issued a dispute request ([Section -sec-num-ref-](chapter-anv#net-msg-dispute-request)). The response, ${R}$, is a varying type of the following format:
+
+$$
+{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&\phi\end{matrix}\right.}
+$$
+
+where ${0}$ indicates that the dispute was successfully processed.
\ No newline at end of file
diff --git a/src/docs/chapter-anv.md b/src/docs/chapter-anv.md
index 7e50057c9..8553147cb 100644
--- a/src/docs/chapter-anv.md
+++ b/src/docs/chapter-anv.md
@@ -519,340 +519,6 @@ where ${k}$ indicates the kind of the certificate, respectively the value *0* pr
 Disputes are not documented yet.
 :::
 
-## -sec-num- Network Messages {#sect-anv-network-messages}
-
-The availability and validity process requires certain network messages to be exchanged between validators and collators.
-
-### -sec-num- Notification Messges {#id-notification-messges}
-
-The notification messages are exchanged between validators, including messages sent by collators to validators. The protocol messages are exchanged based on a streaming notification substream ([Section -sec-num-ref-](chap-networking#sect-connection-establishment)). The messages are SCALE encoded ([Section -sec-num-ref-](id-cryptography-encoding#sect-scale-codec)).
-
-###### Definition -def-num- Validator Protocol Message {#net-msg-validator-protocol-message}
-:::definition
-
-The validator protocol message is a varying datatype used by validators to broadcast relevant information about certain steps in the A&V process. Specifically, this includes the backing process ([Section -sec-num-ref-](chapter-anv#sect-candidate-backing)) and the approval process ([Section -sec-num-ref-](chapter-anv#sect-approval-voting)). The validator protocol message, ${M}$, is a varying datatype of the following format:
-
-$$
-{M}={\left\lbrace\begin{matrix}{1}&\rightarrow&{M}_{{f}}\\{3}&\rightarrow&{M}_{{s}}\\{4}&\rightarrow&{M}_{{a}}\end{matrix}\right.}
-$$
-
-**where**  
-- ${M}_{{f}}$ is a bitfield distribution message ([Definition -def-num-ref-](chapter-anv#net-msg-bitfield-dist-msg)).
-
-- ${M}_{{s}}$ is a statement distribution message ([Definition -def-num-ref-](chapter-anv#net-msg-statement-distribution)).
-
-- ${M}_{{a}}$ is a approval distribution message ([Definition -def-num-ref-](chapter-anv#net-msg-approval-distribution)).
-
-:::
-###### Definition -def-num- Collation Protocol Message {#net-msg-collator-protocol-message}
-:::definition
-
-The collation protocol message, M, is a varying datatype of the following format:
-
-$$
-{M}={\left\lbrace\begin{matrix}{0}&\rightarrow&{M}_{{c}}\end{matrix}\right.}
-$$
-
-where ${M}_{{c}}$ is the collator message ([Definition -def-num-ref-](chapter-anv#net-msg-collator-message)).
-
-:::
-###### Definition -def-num- Collator Message {#net-msg-collator-message}
-:::definition
-
-The collator message is sent as part of the collator protocol message ([Definition -def-num-ref-](chapter-anv#net-msg-collator-protocol-message)). The collator message, ${M}$, is a varying datatype of the following format:
-
-$$
-{M}={\left\lbrace\begin{matrix}{0}&\rightarrow&{\left({C}_{{i}},{P}_{{i}},{C}_{{s}}\right)}\\{1}&\rightarrow&{H}\\{4}&\rightarrow&{\left({B}_{{h}},{S}\right)}\end{matrix}\right.}
-$$
-
-**where**  
-- ${M}$ is a varying datatype where *0* indicates the intent to advertise a collation and *1* indicates the advertisement of a collation to a validator. *4* indicates that a collation sent to a validator was seconded.
-
-- ${C}_{{i}}$ is the public key of the collator.
-
-- ${P}_{{i}}$ is the parachain Id ([Definition -def-num-ref-](chapter-anv#defn-para-id)).
-
-- ${C}_{{s}}$ is the signature of the collator using the *PeerId* of the collators node.
-
-- ${H}$ is the hash of the parachain block ([Definition -def-num-ref-](chapter-anv#defn-para-block)).
-
-- ${S}$ is a full statement ([Definition -def-num-ref-](chapter-anv#defn-statement)).
-
-:::
-###### Definition -def-num- Statement Distribution Message {#net-msg-statement-distribution}
-:::definition
-
-The statement distribution message is sent as part of the validator protocol message ([Definition -def-num-ref-](chapter-anv#net-msg-collator-protocol-message)) indicates the validity vote of a validator for a given candidate, described further in [Section -sec-num-ref-](chapter-anv#sect-candidate-statements). The statement distribution message, ${M}$, is of varying type of the following format:
-
-$$
-{M}={\left\lbrace\begin{matrix}{0}&\rightarrow&{\left({B}_{{h}},{S}\right)}\\{1}&\rightarrow&{S}_{{m}}\end{matrix}\right.}
-$$
-$$
-{S}_{{m}}={\left({B}_{{h}},{C}_{{h}},{A}_{{i}},{A}_{{s}}\right)}
-$$
-
-**where**  
-- ${M}$ is a varying datatype where *0* indicates a signed statement and *1* contains metadata about a seconded statement with a larger payload, such as a runtime upgrade. The candidate itself can be fetched via the request/response message ([Definition -def-num-ref-](chapter-anv#net-msg-statement-fetching-request)).
-
-- ${B}_{{h}}$ is the hash of the relay chain parent, indicating the state this message is for.
-
-- ${S}$ is a full statement ([Definition -def-num-ref-](chapter-anv#defn-statement)).
-
-- ${A}_{{i}}$ is the validator index in the authority set ([Definition -def-num-ref-](chap-sync#defn-authority-list)) that signed this message.
-
-- ${A}_{{s}}$ is the signature of the validator.
-
-:::
-###### Definition -def-num- Bitfield Distribution Message {#net-msg-bitfield-dist-msg}
-:::definition
-
-The bitfield distribution message is sent as part of the validator protocol message ([Definition -def-num-ref-](chapter-anv#net-msg-validator-protocol-message)) and indicates the availability vote of a validator for a given candidate, described further in [Section -sec-num-ref-](chapter-anv#sect-availability-votes). This message is sent in form of a validator protocol message ([Definition -def-num-ref-](chapter-anv#net-msg-validator-protocol-message)). The bitfield distribution message, ${M}$, is a datastructure of the following format:
-
-$$
-{M}={\left\lbrace\begin{matrix}{0}&\rightarrow&{\left({B}_{{h}},{P}\right)}\end{matrix}\right.}
-$$
-$$
-{P}={\left({d},{A}_{{i}},{A}_{{s}}\right)}
-$$
-
-**where**  
-- ${B}_{{h}}$ is the hash of the relay chain parent, indicating the state this message is for.
-
-- ${d}$ is the bitfield array ([Definition -def-num-ref-](chapter-anv#defn-bitfield-array)).
-
-- ${A}_{{i}}$ is the validator index in the authority set ([Definition -def-num-ref-](chap-sync#defn-authority-list)) that signed this message.
-
-- ${A}_{{s}}$ is the signature of the validator.
-
-:::
-###### Definition -def-num- Approval Distribution Message {#net-msg-approval-distribution}
-:::definition
-
-The approval distribution message is sent as part of the validator protocol message ([Definition -def-num-ref-](chapter-anv#net-msg-validator-protocol-message)) and indicates the approval vote of a validator for a given candidate, described further in [Section -sec-num-ref-](chapter-anv#sect-availability-assignment-criteria). The approval distribution message, ${M}$, is a varying datatype of the following format:
-
-$$
-{M}={\left\lbrace\begin{matrix}{0}&\rightarrow&{\left({\left({C}_{,}{I}_{{}}\right)}_{{0}}…{\left({C},{I}\right)}_{{n}}\right)}\\{1}&\rightarrow&{\left({V}_{{0}},…{V}_{{n}}\right)}\end{matrix}\right.}
-$$
-$$
-{C}={\left({B}_{{h}},{A}_{{i}},{c}_{{a}}\right)}
-$$
-$$
-{c}_{{a}}={\left({c}_{{k}},{P}_{{o}},{P}_{{p}}\right)}
-$$
-$$
-{c}_{{k}}={\left\lbrace\begin{matrix}{0}→{s}\\{1}→{i}\end{matrix}\right.}
-$$
-$$
-{V}={\left({B}_{{h}},{I},{A}_{{i}},{A}_{{s}}\right)}
-$$
-
-**where**  
-- ${M}$ is a varying datatype where *0* indicates assignments for candidates in recent, unfinalized blocks and *1* indicates approvals for candidates in some recent, unfinalized block.
-
-- ${C}$ is an assignment criterion which refers to the candidate under which the assignment is relevant by the block hash.
-
-- ${I}$ is an unsigned 32-bit integer indicating the index of the candidate, corresponding the the order of the availability cores ([Section -sec-num-ref-](chap-runtime-api#sect-rt-api-availability-cores)).
-
-- ${B}_{{h}}$ is the relay chain block hash where the candidate appears.
-
-- ${A}_{{i}}$ is the authority set Id ([Definition -def-num-ref-](sect-finality#defn-authority-set-id)) of the validator that created this message.
-
-- ${A}_{{s}}$ is the signature of the validator issuing this message.
-
-- ${c}_{{a}}$ is the certification of the assignment.
-
-- ${c}_{{k}}$ is a varying datatype where *0* indicates an assignment based on the VRF that authorized the relay chain block where the candidate was included, followed by a sample number, ${s}$. *1* indicates an assignment story based on the VRF that authorized the relay chain block where the candidate was included combined with the index of a particular core. This is described further in [Section -sec-num-ref-](chapter-anv#sect-approval-voting).
-
-- ${P}_{{o}}$ is a VRF output and ${P}_{{p}}$ its corresponding proof.
-
-:::
-### -sec-num- Request & Response {#id-request-response}
-
-The request & response network messages are sent and received between peers in the Polkadot network, including collators and non-validator nodes. Those messages are conducted on the request-response substreams ([Section -sec-num-ref-](chap-networking#sect-connection-establishment)). The network messages are SCALE encoded as described in Section ?.
-
-###### Definition -def-num- PoV Fetching Request {#net-msg-pov-fetching-request}
-:::definition
-
-The PoV fetching request is sent by clients who want to retrieve a PoV block from a node. The request is a datastructure of the following format:
-
-$$
-{C}_{{h}}
-$$
-
-where ${C}_{{h}}$ is the 256-bit hash of the PoV block. The response message is defined in [Definition -def-num-ref-](chapter-anv#net-msg-pov-fetching-response).
-
-:::
-###### Definition -def-num- PoV Fetching Response {#net-msg-pov-fetching-response}
-:::definition
-
-The PoV fetching response is sent by nodes to the clients who issued a PoV fetching request ([Definition -def-num-ref-](chapter-anv#net-msg-pov-fetching-request)). The response, ${R}$, is a varying datatype of the following format:
-
-$$
-{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&{B}\\{1}&\rightarrow&\phi\end{matrix}\right.}
-$$
-
-where *0* is followed by the PoV block and *1* indicates that the PoV block was not found.
-
-:::
-###### Definition -def-num- Chunk Fetching Request {#net-msg-chunk-fetching-request}
-:::definition
-
-The chunk fetching request is sent by clients who want to retrieve chunks of a parachain candidate. The request is a datastructure of the following format:
-
-$$
-{\left({C}_{{h}},{i}\right)}
-$$
-
-where ${C}_{{h}}$ is the 256-bit hash of the parachain candidate and ${i}$ is a 32-bit unsigned integer indicating the index of the chunk to fetch. The response message is defined in [Definition -def-num-ref-](chapter-anv#net-msg-chunk-fetching-response).
-
-:::
-###### Definition -def-num- Chunk Fetching Response {#net-msg-chunk-fetching-response}
-:::definition
-
-The chunk fetching response is sent by nodes to the clients who issued a chunk fetching request ([Definition -def-num-ref-](chapter-anv#net-msg-chunk-fetching-request)). The response, ${R}$, is a varying datatype of the following format:
-
-$$
-{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&{C}_{{r}}\\{1}&\rightarrow&\phi\end{matrix}\right.}
-$$
-$$
-{C}_{{r}}={\left({c},{c}_{{p}}\right)}
-$$
-
-where *0* is followed by the chunk response, ${C}_{{r}}$ and *1* indicates that the requested chunk was not found. ${C}_{{r}}$ contains the erasure-encoded chunk of data belonging to the candidate block, ${c}$, and ${c}_{{p}}$ is that chunks proof in the Merkle tree. Both ${c}$ and ${c}_{{p}}$ are byte arrays of type ${\left({b}_{{n}}…{b}_{{m}}\right)}$.
-
-:::
-###### Definition -def-num- Available Data Request {#net-msg-available-data-request}
-:::definition
-
-The available data request is sent by clients who want to retrieve the PoV block of a parachain candidate. The request is a datastructure of the following format:
-
-$$
-{C}_{{h}}
-$$
-
-where ${C}_{{h}}$ is the 256-bit candidate hash to get the available data for. The response message is defined in [Definition -def-num-ref-](chapter-anv#net-msg-available-data-response).
-
-:::
-###### Definition -def-num- Available Data Response {#net-msg-available-data-response}
-:::definition
-
-The available data response is sent by nodes to the clients who issued a available data request ([Definition -def-num-ref-](chapter-anv#net-msg-available-data-request)). The response, ${R}$, is a varying datatype of the following format:
-
-$$
-{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&{A}\\{1}&\rightarrow&\phi\end{matrix}\right.}
-$$
-$$
-{A}={\left({P}_{{{ov}}},{D}_{{{pv}}}\right)}
-$$
-
-where *0* is followed by the available data, ${A}$, and *1* indicates the the requested candidate hash was not found. ${P}_{{{o}{v}}}$ is the PoV block ([Definition -def-num-ref-](chapter-anv#defn-para-block)) and ${D}_{{{p}{v}}}$ is the persisted validation data ([Definition -def-num-ref-](chap-runtime-api#defn-persisted-validation-data)).
-
-:::
-###### Definition -def-num- Collation Fetching Request {#net-msg-collation-fetching-request}
-:::definition
-
-The collation fetching request is sent by clients who want to retrieve the advertised collation at the specified relay chain block. The request is a datastructure of the following format:
-
-$$
-{\left({B}_{{h}},{P}_{{{id}}}\right)}
-$$
-
-where ${B}_{{h}}$ is the hash of the relay chain block and ${P}_{{{i}{d}}}$ is the parachain Id ([Definition -def-num-ref-](chapter-anv#defn-para-id)). The response message is defined in [Definition -def-num-ref-](chapter-anv#net-msg-collation-fetching-response).
-
-:::
-###### Definition -def-num- Collation Fetching Response {#net-msg-collation-fetching-response}
-:::definition
-
-The collation fetching response is sent by nodes to the clients who issued a collation fetching request ([Definition -def-num-ref-](chapter-anv#net-msg-collation-fetching-request)). The response, ${R}$, is a varying datatype of the following format:
-
-$$
-{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&{\left({C}_{{r}},{B}\right)}\end{matrix}\right.}
-$$
-
-where ${0}$ is followed by the candidate receipt ([Definition -def-num-ref-](chapter-anv#defn-candidate-receipt)), ${C}_{{r}}$, as and the PoV block ([Definition -def-num-ref-](chapter-anv#defn-para-block)), ${B}$. This type does not notify the client about a statement that was not found.
-
-:::
-###### Definition -def-num- Statement Fetching Request {#net-msg-statement-fetching-request}
-:::definition
-
-The statement fetching request is sent by clients who want to retrieve statements about a given candidate. The request is a datastructure of the following format:
-
-$$
-{\left({B}_{{h}},{C}_{{h}}\right)}
-$$
-
-where ${B}_{{h}}$ is the hash of the relay chain parent and ${C}_{{h}}$ is the candidate hash that was used to create a committed candidate receipt ([Definition -def-num-ref-](chapter-anv#defn-committed-candidate-receipt)). The response message is defined in [Definition -def-num-ref-](chapter-anv#net-msg-statement-fetching-response).
-
-:::
-###### Definition -def-num- Statement Fetching Response {#net-msg-statement-fetching-response}
-:::definition
-
-The statement fetching response is sent by nodes to the clients who issued a collation fetching request ([Definition -def-num-ref-](chapter-anv#net-msg-statement-fetching-request)). The response, ${R}$, is a varying datatype of the following format:
-
-$$
-{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&{C}_{{r}}\end{matrix}\right.}
-$$
-
-where ${C}_{{r}}$ is the committed candidate receipt ([Definition -def-num-ref-](chapter-anv#defn-committed-candidate-receipt)). No response is returned if no statement is found.
-
-:::
-#### -sec-num- Dispute Request {#net-msg-dispute-request}
-
-The dispute request is sent by clients who want to issue a dispute about a candidate. The request, ${D}_{{r}}$, is a datastructure of the following format:
-
-$$
-{D}_{{r}}={\left({C}_{{r}},{S}_{{i}},{I}_{{v}},{V}_{{v}}\right)}
-$$
-$$
-{I}_{{v}}={\left({A}_{{i}},{A}_{{s}},{k}_{{i}}\right)}
-$$
-$$
-{V}_{{v}}={\left({A}_{{i}},{A}_{{s}},{k}_{{v}}\right)}
-$$
-$$
-{k}_{{i}}={\left\lbrace\begin{matrix}{0}&\rightarrow&\phi\end{matrix}\right.}
-$$
-$$
-{k}_{{v}}={\left\lbrace\begin{matrix}{0}&\rightarrow&\phi\\{1}&\rightarrow&{C}_{{h}}\\{2}&\rightarrow&{C}_{{h}}\\{3}&\rightarrow&\phi\end{matrix}\right.}
-$$
-
-**where**  
-- ${C}_{{r}}$ is the candidate that is being disputed. The structure is a candidate receipt ([Definition -def-num-ref-](chapter-anv#defn-candidate-receipt)).
-
-- ${S}_{{i}}$ is an unsigned 32-bit integer indicating the session index the candidate appears in.
-
-- ${I}_{{v}}$ is the invalid vote that makes up the request.
-
-- ${V}_{{v}}$ is the valid vote that makes this dispute request valid.
-
-- ${A}_{{i}}$ is an unsigned 32-bit integer indicating the validator index in the authority set ([Definition -def-num-ref-](chap-sync#defn-authority-list)).
-
-- ${A}_{{s}}$ is the signature of the validator.
-
-- ${k}_{{i}}$ is a varying datatype and implies the dispute statement. *0* indicates an explicit statement.
-
-- ${k}_{{v}}$ is a varying datatype and implies the dispute statement.
-
-  - ${0}$ indicates an explicit statement.
-
-  - ${1}$ indicates a seconded statement on a candidate, ${C}_{{h}}$, from the backing phase. ${C}_{{h}}$ is the hash of the candidate.
-
-  - ${2}$ indicates a valid statement on a candidate, ${C}_{{h}}$, from the backing phase. ${C}_{{h}}$ is the hash of the candidate.
-
-  - ${3}$ indicates an approval vote from the approval checking phase.
-
-The response message is defined in [Section -sec-num-ref-](chapter-anv#net-msg-dispute-response).
-
-#### -sec-num- Dispute Response {#net-msg-dispute-response}
-
-The dispute response is sent by nodes to the clients who who issued a dispute request ([Section -sec-num-ref-](chapter-anv#net-msg-dispute-request)). The response, ${R}$, is a varying type of the following format:
-
-$$
-{R}={\left\lbrace\begin{matrix}{0}&\rightarrow&\phi\end{matrix}\right.}
-$$
-
-where ${0}$ indicates that the dispute was successfully processed.
-
 ## -sec-num- Definitions {#sect-anv-definitions}
 
 ###### Definition -def-num- Collator {#defn-collator}