Pith Number

pith:RN4NTCJB

pith:2000:RN4NTCJBYT2KXJYAG6XKSTH64B

not attested not anchored not stored refs pending

A classification of classical representations for quantum-like systems

Bob Coecke

arxiv:quant-ph/0008062 v2 · 2000-08-14 · quant-ph · math-ph · 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{RN4NTCJBYT2KXJYAG6XKSTH64B}

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	2026-07-04T14:45:30.971111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b78d98921c4f4aba70037aea94cfee0400acf5b9b69b0417a00f898c38bc2c7

Aliases

arxiv: quant-ph/0008062 · arxiv_version: quant-ph/0008062v2 · doi: 10.48550/arxiv.quant-ph/0008062 · pith_short_12: RN4NTCJBYT2K · pith_short_16: RN4NTCJBYT2KXJYA · pith_short_8: RN4NTCJB

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/RN4NTCJBYT2KXJYAG6XKSTH64B \
  | 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: 8b78d98921c4f4aba70037aea94cfee0400acf5b9b69b0417a00f898c38bc2c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11eb60f503b86be0d9998e7ee9c8dc87f821429d828f5aaf6d0459df3b08c870",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-08-14T17:31:32Z",
    "title_canon_sha256": "eb6b05d659edac90a93a88c9a9de4589be98d8b5918929fe25f4f2db4a4e6c7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0008062",
    "kind": "arxiv",
    "version": 2
  }
}