Pith Number

pith:M7YM4YBL

pith:2000:M7YM4YBLEZEIC7D4BICKZL44U2

not attested not anchored not stored refs pending

Operational resolutions and state transitions in a categorical setting

Bob Coecke, Isar Stubbe

arxiv:quant-ph/0008020 v1 · 2000-08-03 · quant-ph · math-ph · math.CT · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7YM4YBLEZEIC7D4BICKZL44U2}

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	2026-05-18T01:38:03.067042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f0ce602b2648817c7c0a04acaf9ca6ae0302ea9b0dcc218bbea384d10c5445

Aliases

arxiv: quant-ph/0008020 · arxiv_version: quant-ph/0008020v1 · doi: 10.48550/arxiv.quant-ph/0008020 · pith_short_12: M7YM4YBLEZEI · pith_short_16: M7YM4YBLEZEIC7D4 · pith_short_8: M7YM4YBL

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/M7YM4YBLEZEIC7D4BICKZL44U2 \
  | 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: 67f0ce602b2648817c7c0a04acaf9ca6ae0302ea9b0dcc218bbea384d10c5445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b42b8b611d654abd2eebbe8b106f4a2f5edd6246f585a321617f74be054d8c76",
    "cross_cats_sorted": [
      "math-ph",
      "math.CT",
      "math.DS",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-08-03T15:51:37Z",
    "title_canon_sha256": "b2384d9656de5745fc511828d7cdb65fa98eff535244d794243da4c9f1639295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0008020",
    "kind": "arxiv",
    "version": 1
  }
}