Pith Number

pith:RUOXFK5W

pith:2004:RUOXFK5W5SKCE62JUK66VSK4FN

not attested not anchored not stored refs pending

Normal Order: Combinatorial Graphs

2), (2) The Open University, (3) University of Rouen, 4), (4) Polish Academy of Sciences, Allan I. Solomon (1, Andrzej Horzela (4), France, Gerard Duchamp (3), Karol A. Penson (1) ((1) University of Paris VI, Krakow, Milton Keynes, Pawel Blasiak (1, Poland), UK

arxiv:quant-ph/0402082 v1 · 2004-02-12 · quant-ph · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RUOXFK5W5SKCE62JUK66VSK4FN}

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	2026-05-18T00:37:06.569269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d1d72abb6ec94227b49a2bdeac95c2b41b42cbebc441d118d90fe6645225c54

Aliases

arxiv: quant-ph/0402082 · arxiv_version: quant-ph/0402082v1 · doi: 10.48550/arxiv.quant-ph/0402082 · pith_short_12: RUOXFK5W5SKC · pith_short_16: RUOXFK5W5SKCE62J · pith_short_8: RUOXFK5W

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/RUOXFK5W5SKCE62JUK66VSK4FN \
  | 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: 8d1d72abb6ec94227b49a2bdeac95c2b41b42cbebc441d118d90fe6645225c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff67dc7497983f8ee7c26b7bb3e0387faa8a8bd3acd9404a664e44915466bf8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-02-12T11:20:06Z",
    "title_canon_sha256": "3f238e167f5c1e91a796357dce6a938b467aaa951a4b226842d62288917f8631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0402082",
    "kind": "arxiv",
    "version": 1
  }
}