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Corezoid Research

Text license: CC BY 4.0 Code license: Apache 2.0 ORCID

Research papers by Alexander Vityaz (Corezoid Inc.) on the actor model, active transaction graphs, the computable theory of the firm, and the ontology of transition.

Every paper is published as an immutable, citable record on Zenodo (DOI per version); this repository is the curated home of the corpus — canonical PDFs, readable markdown versions, citation metadata, and cross-references between the papers.

How to read a paper here: each paper lives in its own folder under papers/ with a README.md (abstract, citation, links), the canonical paper.pdf, and a paper.md for reading on GitHub. Mathematical notation and figures are authoritative in the PDF and in the version of record on Zenodo.

Papers

# Paper Published DOI Formats
1 On the Necessity of Noise Suppression for Minimal Good Regulators: Factorization Theorems and a Closure Conjecture Jan 2026 DOI PDF
2 Regulatory Quality of Asymptotic Models: A Quantitative Framework with Arithmetic Benchmark 2026 DOI PDF
3 Active Transaction Graphs: A Formal Framework for Transactional Interactive Systems Mar 2026 DOI PDF · MD
4 A Phase Model of Enterprise Evolution: From Fragmentation to the Autonomous Enterprise Mar 2026 DOI PDF
5 Company Brain: The Architecture of General Company Intelligence Apr 2026 DOI PDF
6 What Is Work: The Law of Information Conservation and the AI Productivity Paradox in High-Context Knowledge Work Apr 2026 RG 403936327 PDF
7 Metaunderstanding: Recursive Compression, Tag Accounts, and Actor Graphs as the Next Layer of Mind in the Age of AI Apr 2026 RG 403758098 PDF
8 The Computable Boundary of the Firm: Information Conditions for Viability and the Transactional Architecture of the Digital Twin Jun 2026 DOI PDF · MD
9 Management Debt — Part I: Concept, Metrics, and Principles for Attributing Materialised Debts to Actor Accounts Jun 2026 DOI PDF · MD
10 Ontology of Transition: Causal Order, External Time, and the Thermodynamics of Physical Clock Records (three-part series + complete volume) Jul 2026 DOI Volume PDF · Part I · Part II · Part III
11 Beyond Programming Languages Jul 2026 DOI PDF

Ontology of Transition — parts

Part Title DOI
I Causal Order of Events, Internal and External Clocks, Thermodynamics, and Information-Theoretic Distinguishability DOI
II The Unidentifiable Clock: Reconstruction Limits and Gauge Freedom of External Time under Lossy Delivery DOI
III The Thermodynamic Price of External Time: Rate–Distortion Bounds for Physical Clock Records DOI

Papers with a zenodo DOI have Zenodo as the version of record; papers with an RG.2.2 DOI (or an RG link) are preprints whose version of record is currently ResearchGate — Zenodo deposits for them are on the roadmap (see PUBLISHING.md).

In preparation

Work in progress is reviewed privately and appears here on publication:

  • Management Debt — Part II: account structure, double-entry attribution, platform implementation (announced in Part I)
  • The Actor Codex — book, working draft (Chapter X cited in The Computable Boundary of the Firm)

Patents

USPTO patents by the same author underpinning the Corezoid/Middleware platform; full texts are public records.

Patent Title Filed Granted Status PDF
US11237835B2 System and method for processing data of any external services through API controlled universal computing elements 2019-01-18 2022-02-01 Active PDF
US11228570B2 Safe-transfer exchange protocol based on trigger-ready envelopes among distributed nodes 2019-03-01 2022-01-18 Expired - Fee Related PDF
US11093935B2 System and methods for a resource-saving exchange protocol based on trigger-ready envelopes among distributed nodes 2018-09-18 2021-08-17 Active - Reinstated PDF
US10776772B2 Automated digital method and system of providing or sharing access 2017-09-29 2020-09-15 Active PDF
US10565302B2 Method of organizing dialog with the use of fillable forms 2019-02-21 2020-02-18 Active PDF
US2022/0100554A1 System and method for modifying a data processing method 2021-09-22 — (pending) Pending PDF
US2019/0007489A1 System and Methods for Running a Condition-Triggered Process Involving Movement of Objects from a Node to at least one other Node Until a Condition with a Set of Parameters Are Met By An Event 2018-07-05 — (pending) Pending PDF

How the papers relate

graph BT
    NS["Noise Suppression for<br/>Minimal Good Regulators (Jan 2026)"]
    RQ["Regulatory Quality of<br/>Asymptotic Models (2026)"]
    ATG["Active Transaction Graphs<br/>(Mar 2026)"]
    PM["Phase Model of Enterprise<br/>Evolution (Mar 2026)"]
    CB["Company Brain<br/>(Apr 2026)"]
    WIW["What Is Work<br/>(Apr 2026)"]
    MU["Metaunderstanding<br/>(Apr 2026)"]
    CBF["Computable Boundary<br/>of the Firm (Jun 2026)"]
    MD1["Management Debt — Part I<br/>(Jun 2026)"]
    OT1["Ontology of Transition<br/>Part I (Jul 2026)"]
    OT2["Ontology of Transition<br/>Part II (Jul 2026)"]
    OT3["Ontology of Transition<br/>Part III (Jul 2026)"]
    BPL["Beyond Programming<br/>Languages (Jul 2026)"]

    RQ -->|cites| NS
    RQ -->|cites| ATG
    PM -->|cites| NS
    PM -->|cites| MD1
    CB -->|cites| ATG
    CB -->|cites| PM
    CB -->|cites| MD1
    CB -->|cites| NS
    WIW -->|cites| NS
    WIW -->|cites| MD1
    MU -->|cites| NS
    CBF -->|cites| ATG
    CBF -->|cites| MD1
    MD1 -->|cites| ATG
    OT1 -->|cites| ATG
    OT1 -->|cites| CBF
    OT2 -->|cites| ATG
    OT2 -->|cites| OT1
    OT3 -->|cites| OT1
    OT3 -->|cites| OT2
    OT3 -->|cites| CBF
    BPL -->|cites| ATG
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Two papers anchor the corpus: On the Necessity of Noise Suppression (the cybernetic necessity result) and Active Transaction Graphs (the formal actor/graph/ledger framework); the other papers build on one or both.

How to cite

To cite an individual paper, use the How to cite section in that paper's README.md (each includes a formatted citation and a BibTeX entry with the paper's DOI). All BibTeX entries are also collected in bibliography.bib.

To cite the collection as a whole, use the "Cite this repository" button on GitHub (backed by CITATION.cff).

Publishing workflow

The full lifecycle — drafting, review, Zenodo DOI deposit, publication, versioning — is documented in PUBLISHING.md.

Roadmap

  • Rendered reading site (Quarto + GitHub Pages) once the repository is public
  • Zenodo deposits (and DOIs) for the papers whose version of record is currently ResearchGate — first What Is Work and Metaunderstanding, which have no DOI at all
  • Markdown reading versions for the PDF-only papers
  • Zenodo–GitHub release integration for collection snapshots

License

  • Text, figures, and papers (everything under papers/, all prose): CC BY 4.0
  • Code and scripts (build tooling, CI): Apache 2.0
  • Bibliographic metadata (bibliography.bib, CITATION.cff): public domain (CC0)

© Alexander Vityaz, Corezoid Inc.

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Research papers by Alexander Vityaz, Corezoid Inc. — actor model, active transaction graphs, ontology of transition

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