Pith Number

pith:KYGMBEDX

pith:2005:KYGMBEDXMAEUQ6H6CMRVFTE3BF

not attested not anchored not stored refs pending

Feynman graphs and related Hopf algebras

Allan I. Solomon (LPTL), Andrzej Horzela (LPTL), G\'erard Henry Edmond Duchamp (LIPN), Karol A. Penson (LPTL), Pawel Blasiak (LPTL)

arxiv:cs/0510041 v1 · 2005-10-15 · cs.SC · cs.DM · math-ph · math.CO · math.MP · 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{KYGMBEDXMAEUQ6H6CMRVFTE3BF}

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	2026-05-18T01:08:54.981838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560cc0907760094878fe132352cc9b0960b0c3ae0ce76b9ec2c39494d9120abf

Aliases

arxiv: cs/0510041 · arxiv_version: cs/0510041v1 · doi: 10.48550/arxiv.cs/0510041 · pith_short_12: KYGMBEDXMAEU · pith_short_16: KYGMBEDXMAEUQ6H6 · pith_short_8: KYGMBEDX

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/KYGMBEDXMAEUQ6H6CMRVFTE3BF \
  | 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: 560cc0907760094878fe132352cc9b0960b0c3ae0ce76b9ec2c39494d9120abf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b3cb544cf6cd124baaadd27abdecbb4349db39bc2eed8c76c998d47f91b60b2",
    "cross_cats_sorted": [
      "cs.DM",
      "math-ph",
      "math.CO",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "cs.SC",
    "submitted_at": "2005-10-15T06:11:56Z",
    "title_canon_sha256": "f50ef9da1988e1a37f94270d2bb300b223524ed609c43b1912094e4e8b75c053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0510041",
    "kind": "arxiv",
    "version": 1
  }
}