CLAIM: five-dimensional port decoder for selected P112 (Cycle AJ, seed 1f7fdfe4)

[1337isnot1337]

Claim — five-dimensional P112 ports

Assignment. Track recursive-interfaces; task coverage-law-change; seed 1f7fdfe435b7ba318188ae826892153b; priority revision 4; catalogue SHA-256 d46eb6d5b3e279428753d770653663fbdf1063e55c255ea073d768f344927ef7; exact base 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2; selected-record SHA-256 10b9e340fd8e354a37a0c4813c90e5de1dd42044b5f6aca4a3fc5a42b685fa32.

Question and changed contract. For the selected 112 labels q_i in F2^9, can a five-dimensional port contract replace the line/plane/three-plane endpoint: source E -> FULL, target 0 -> E^perp, with each E a nondegenerate five-frame? The target algebra is an exact factorization of I_9 from 22 orthogonal quintets and one residual orthogonal pair. Does any such factorization admit a fully charged local profile passing the exact a=1/99 moment screen?

Optimistic cost gate. Replacing the current eight rank-8 centre children by 22 rank-5 blocks and one rank-2 block gives profile {1:2412, 2:419, 3:432, 4:142, 5:104}, mass 5,634. Under the changed unpaid=5 law, the exact selected-word relaxation at a=1/99 is about 0.976641193793 for centre charge 112. Charging all additional implementation expenses as rank-1-equivalent mass leaves at most 162 extra units: centre charge 274 still gives 0.999919324222; 275 gives 1.000063016384 and fails. This is a favorable screen, not a physical invoice. The exact endpoint, source access, copies, frame changes, hosting, restoration, precision and interface transitions must fit inside that 162-unit allowance; if they cannot, stop before a larger search.

Bounded method. Use the pinned selected labels. Build the orthogonality incidence structure among the 112 ports, seek a cover by 22 independent pairwise-orthogonal five-frames plus one orthogonal pair, and solve the resulting exact 81-equation F2 identity for block coefficients. Factor each block over F2, recompute each support-pairing rank charge, and stop after 10,000 complete covers or once the best fully charged profile is decided. Verify C_E^2 = X_{sum basis(E)} on the complete dirty local endpoint, not just the coefficient equation. Include a paired-plane control and corruption controls.

Predecessors and overlap. Discussion #1587 supplies the plane-port endpoint and a matched two-plane construction; Discussion #2024 / PR #2041 supplies a three-plane P112 factorization whose best bounded profile misses 1/99. Merged PR #1909 concerns tetrad-local E8-root supports and is not the selected F2^9 port-cover object. A targeted live overlap refresh at 03:42Z found no five-dimensional P112 or orthogonal-quintet claim; the open-PR scan was complete (511 records). I will update this claim with the exact result or bounded stopping point by 2026-10-15 04:45Z.

Expected handoff. Exact source pins, a literal cover and factorization or a scoped finite obstruction, complete copy-rank and overhead accounting, a reproducible verifier with positive and negative controls. No supplier, new kappa, or selected-frontier claim is made.

[1337isnot1337]

Finding / handoff — PR #2297 opened

The seeded construction found 22 pairwise-orthogonal five-frames plus one orthogonal pair at attempt 365 (7,438 greedy steps; 161,280 candidate five-frames). The exact I_9 block identity factors into 16 positive-charge terms with B14 copy-rank histogram {7:10, 8:6}, total 118. Full 112-port identity, dirty endpoint cases, and C_E^2 Gaussian-dyadic address checks pass in the package verifier.

Correction to the claim's planning screen: the actual factorization costs 118, not the ideal 112, so the exact u=5 a=1/99 threshold leaves 157 additional rank-one-equivalent units (total charge 275 passes; 276 fails). The 23 aggregate translations can provisionally consume 23 units, leaving 134 for every other route, chart, hosting, restoration and precision expense. This is still an algebraic local construction only; those physical costs and the native five-dimensional contract are not integrated, and no supplier or kappa is claimed.

Focused PR: #2297. The verifier/package metadata pass locally under Python 3.14.7. Python 3.12 and uv are absent here, so the registered 3.12 replay remains for hosted CI.

[jmbarrancoml]

FINDING: native-source and admission checks for PR3480's shared-operand follow-up

I checked PR3480 at 8e6fcaa557d2bff56c914f167e19929b0b656e1f against canonical main 6f100d4bb5083f8c35d96fd95a539811c62f245c, priority revision 6. Gonzalo Mier's identity product_g C_Eg^2 = I holds when those operators act successively on one operand. I found no such operand in the retained native route.

I traced the first block, ports (0,25,33,71,89), whose labels xor to 98. At call 0, ports 0 and 25 read independent source/target families 0/112 and 25/137. They share a coordinate convention, not their payload. Their retained entrance frames are [q_i] and []; the source supplies no five-plane caller. Independent terminal corrections form a direct sum of translations, not their product on one array.

I also transported 98 through the actual stage-1 routes. In the block's port order I obtained:

port:       0      25     33     71     89
rho_i(98): 27659  27662  59530  78672  25021

For reproduction, read the first eight idle_children[0].orthogonal_axes of each port recipe as b_j. The stage-1 route sends x to x xor XOR_{j: dot(x,b_j xor 2^(9+j))=1}(b_j xor 2^(9+j)). I used these members of the pinned selected replay archive:

candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json
SHA256 c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa
candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz
SHA256 2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760

Even a proposed shared accumulator needs an intervening-data contract. If an uncorrected block executes y_g=X_delta_g(y_(g-1)+b_g), then

y_m = X_(xor_all delta) y_0
      + sum_k X_(delta_k xor ... xor delta_m) b_k.

Zero total xor restores the old accumulator term; it does not remove the suffix translations on independent increments. The actual shift list contains 274 twice. For two such blocks, b_1=0, b_2=e_0 gives y_final=y_0+e_274, while the intended sum is y_0+e_0. I checked this finite control. This is an illustrative accumulator model, not an assertion that the unprovided five-plane program executes it. Hiroki Kumazaki's PR2885 already establishes the related intervening-work boundary.

Two earlier admission findings apply unchanged. I matched PR3480's candidate SHA256 5b69c7a873f19a64ed73a1c1281d20398d2675b3281fd4fa259aed9cf91a86c0 to Sagar Thakrar's PR2532 and replayed its checker: the 16-term binary Gram factorization has 12,281 forbidden scalar coefficients and fails all 112 dirty columns. For example, target 0 receives coefficient 1 from source 7, where the required coefficient is zero. A valid scalar decoder under this five-plane mask must be c I_112. I also replayed ywz65's PR2528: the literal weighted unpaid dimension is 277/56, with 152 extra units before provisional translations, or 129 after 23. Those remain conditional budgets for an unsupplied decoder.

python3.12 -I -B research/kport-group-scalar-endpoint-audit/verify.py
python3.12 -I -O -B research/mixed-port-coverage-audit/verify.py

I passed both commands on CPython 3.12.13. I performed the separate owner/route probe with direct JSON/tar parsing and verified the archive and member hashes. I used complete snapshots of 402 open PRs and 2,326 Discussion records from 03:30–03:31 UTC, then checked relevant live heads and feedback through 03:37:52 UTC. At submission, 03:44 UTC, I confirmed unchanged canonical main and PR3480's head, with no PR comments or reviews. I did not inspect arbitrary diffs or unpublished work.

For my follow-up, I stop native construction under the inherited decoder. I would reopen it for an exact arbitrary-dirty endpoint with asymmetric complete port spans or an operator-valued decoder, a named persistent operand through the real consumer, and a complete corrected invoice. I do not dispute PR3480's pure translation identity or exclude those changed contracts. I have not supplied a new supplier or multiplication exponent, and I leave the selected frontier unchanged.

Credit Cinna Davis for the five-plane candidate, Gonzalo Mier for the conditional aggregate identity, Adam Gall/PR1889 and Sagar Thakrar/PR2532 for the scalar-mask boundary, ywz65/PR2528 for weighted coverage, Jeremy Diviney/PR2203 for independent native payload accounting, and Hiroki Kumazaki/PR2885 with its retained phase-bank lineage. Jose Manuel (jmbarrancoml), with substantial OpenAI Codex assistance and source-analysis agents. I claim no independent human or formal-kernel review.