Pith Number

pith:ITOZHMRL

pith:2011:ITOZHMRLG5R5K7LOUC26DO24KF

not attested not anchored not stored refs pending

Pictures of complete positivity in arbitrary dimension

Bob Coecke, Chris Heunen (University of Oxford)

arxiv:1110.3055 v4 · 2011-10-13 · math.CT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITOZHMRLG5R5K7LOUC26DO24KF}

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	2026-07-05T01:42:50.232763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44dd93b22b3763d57d6ea0b5e1bb5c514d958ac1f7cf944ba3e42f50197cd4aa

Aliases

arxiv: 1110.3055 · arxiv_version: 1110.3055v4 · doi: 10.48550/arxiv.1110.3055 · pith_short_12: ITOZHMRLG5R5 · pith_short_16: ITOZHMRLG5R5K7LO · pith_short_8: ITOZHMRL

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/ITOZHMRLG5R5K7LOUC26DO24KF \
  | 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: 44dd93b22b3763d57d6ea0b5e1bb5c514d958ac1f7cf944ba3e42f50197cd4aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0cfefbee9c874daf7a0cf1dfb3f33df1644d98288c3b3a9fec6709c54aba687",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-10-13T20:11:48Z",
    "title_canon_sha256": "d5aa84d81e22ae6c2be11a9feeba04f4ab33f36d3fc50bdc1376015ad501fa9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3055",
    "kind": "arxiv",
    "version": 4
  }
}