Pith Number

pith:PT5DVMPH

pith:2009:PT5DVMPHFCFTLHIGGBAW3QB5NR

not attested not anchored not stored refs pending

Interacting Quantum Observables: Categorical Algebra and Diagrammatics

Bob Coecke, Ross Duncan

arxiv:0906.4725 v3 · 2009-06-25 · quant-ph · cs.LO · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PT5DVMPHFCFTLHIGGBAW3QB5NR}

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	2026-05-18T02:24:55.309407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cfa3ab1e7288b359d0630416dc03d6c6c5d77d192b8a77205b47e5d023e3820

Aliases

arxiv: 0906.4725 · arxiv_version: 0906.4725v3 · doi: 10.48550/arxiv.0906.4725 · pith_short_12: PT5DVMPHFCFT · pith_short_16: PT5DVMPHFCFTLHIG · pith_short_8: PT5DVMPH

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/PT5DVMPHFCFTLHIGGBAW3QB5NR \
  | 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: 7cfa3ab1e7288b359d0630416dc03d6c6c5d77d192b8a77205b47e5d023e3820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550b436d1d48b88b92766962cc9287d71a488ee24df8f37a27613223da8a560d",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-06-25T15:58:11Z",
    "title_canon_sha256": "f1e0ec1a37dc2eeda0b2c17a32571da7dd9749a122887855b351b03f50f4c404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4725",
    "kind": "arxiv",
    "version": 3
  }
}