Pith Number

pith:OU3TU2ZH

pith:2026:OU3TU2ZHJSZY4EKWOLDQR5EHFW

not attested not anchored not stored refs pending

Mechanized Foundations of Structural Governance: Machine-Checked Proofs for Governed Intelligence

Alan L. McCann

Four atomic primitives suffice to express and govern any discrete intelligent system, as shown by machine-checked theorems.

arxiv:2604.27289 v3 · 2026-04-30 · cs.AI

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\usepackage{pith}
\pithnumber{OU3TU2ZHJSZY4EKWOLDQR5EHFW}

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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 Sufficiency Theorem proves that four atomic primitives (code, reason, memory, call) are expressively complete for any discrete intelligent system, formalized as compositional closure of a Kleisli category (mechanized).

C2weakest assumption

That the four primitives suffice for any discrete intelligent system and that property-based testing on 70,000 random directive sequences is sufficient to validate the BEAM runtime specification against all possible behaviors.

C3one line summary

Coq-mechanized proofs establish a coinductive governance safety predicate, invariance across recursion levels, sufficiency of four primitives for any discrete intelligent system, necessity of semantic judgment via Rice's theorem, and a verified BEAM interpreter spec with zero disagreements on 70k+随机

Receipt and verification

First computed	2026-05-27T01:05:55.254802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75373a6b274cb38e115672c708f4872d97e2b06344943153c583a34ef4123f7c

Aliases

arxiv: 2604.27289 · arxiv_version: 2604.27289v3 · doi: 10.48550/arxiv.2604.27289 · pith_short_12: OU3TU2ZHJSZY · pith_short_16: OU3TU2ZHJSZY4EKW · pith_short_8: OU3TU2ZH

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/OU3TU2ZHJSZY4EKWOLDQR5EHFW \
  | 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: 75373a6b274cb38e115672c708f4872d97e2b06344943153c583a34ef4123f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b73d15f2d08ce2df982f94785ab8d39ba537d8a104d458679b5686189f385999",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-04-30T01:03:15Z",
    "title_canon_sha256": "91017f3675b73634b69786d893554d7ebda280c9f9994f10d4755bd1c305f732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.27289",
    "kind": "arxiv",
    "version": 3
  }
}