Pith Number

pith:APEVHDIL

pith:2002:APEVHDILADJAVXHOCBTT6CO65N

not attested not anchored not stored refs pending

Entropic Geometry from Logic

Bob Coecke

arxiv:quant-ph/0212065 v3 · 2002-12-10 · quant-ph · gr-qc · math-ph · math.LO · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APEVHDILADJAVXHOCBTT6CO65N}

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.

Receipt and verification

First computed	2026-07-04T15:52:13.986996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03c9538d0b00d20adcee10673f09deeb65b03566574f747006b31d5dd6d6ea4c

Aliases

arxiv: quant-ph/0212065 · arxiv_version: quant-ph/0212065v3 · doi: 10.48550/arxiv.quant-ph/0212065 · pith_short_12: APEVHDILADJA · pith_short_16: APEVHDILADJAVXHO · pith_short_8: APEVHDIL

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/APEVHDILADJAVXHOCBTT6CO65N \
  | 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: 03c9538d0b00d20adcee10673f09deeb65b03566574f747006b31d5dd6d6ea4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "698ff1db1930ff2fb8bfb6735275d315c93addfa2719fdcde91f0bd6b558f6e7",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.LO",
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-12-10T20:27:42Z",
    "title_canon_sha256": "8225625e51ed4ebf8c351aefabf78a95ebe45857ebb60ea97e0a34b13572cfa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0212065",
    "kind": "arxiv",
    "version": 3
  }
}