Pith Number

pith:MXMCTH7J

pith:2026:MXMCTH7JAJ2JXMMKMUUWRODEM7

not attested not anchored not stored refs pending

Algebraic Semantics of Governed Execution: Monoidal Categories, Effect Algebras, and Coterminous Boundaries

Alan L. McCann

Governance is defined so that it exactly coincides with what programs can express using four basic constructors.

arxiv:2605.01032 v3 · 2026-05-01 · cs.AI · cs.LO · cs.PL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXMCTH7JAJ2JXMMKMUUWRODEM7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The capstone result is the coterminous boundary: within our formal model, every program expressible via the four primitive morphism constructors is governed under interpretation, and every governed program is the image of such a program.

C2weakest assumption

The three-axiom GovernanceAlgebra record (safety, transparency, properness) induces a symmetric monoidal category with verified coherence where every tensor composition preserves governance.

C3one line summary

Governed execution is defined via a three-axiom GovernanceAlgebra that induces a symmetric monoidal category where expressible programs are exactly the governed ones, with all properties machine-checked in Rocq.

Receipt and verification

First computed	2026-05-27T01:05:55.549671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d8299fe902749bb18a652968b86467ff647af2879cd851d191aa35ab44e538

Aliases

arxiv: 2605.01032 · arxiv_version: 2605.01032v3 · doi: 10.48550/arxiv.2605.01032 · pith_short_12: MXMCTH7JAJ2J · pith_short_16: MXMCTH7JAJ2JXMMK · pith_short_8: MXMCTH7J

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MXMCTH7JAJ2JXMMKMUUWRODEM7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 65d8299fe902749bb18a652968b86467ff647af2879cd851d191aa35ab44e538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7187d12f14d78f1527fce1cc98b5bf7687eb8ef560f5625f8a4d9885d16ee61d",
    "cross_cats_sorted": [
      "cs.LO",
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-01T18:59:01Z",
    "title_canon_sha256": "ac5e7d23dda86397d977be8688736a0d4e80772abc630690d4aded5972fa3d29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.01032",
    "kind": "arxiv",
    "version": 3
  }
}