Pith Number

pith:JSE3CIAS

pith:2004:JSE3CIASLR2O5SGUC3EACWKGEW

not attested not anchored not stored refs pending

Generating Functions For Kernels of Digraphs (Enumeration & Asymptotics for Nim Games)

Cyril Banderier (LIPN), GREYC), Jean-Marie Le Bars (LIPN, Vlady Ravelomanana (LIPN)

arxiv:math/0411138 v1 · 2004-11-06 · math.CO · cs.DM · cs.DS · cs.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSE3CIASLR2O5SGUC3EACWKGEW}

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	2026-05-18T04:03:07.796617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c89b120125c74eec8d416c801594625839a0999950ff71a81096b5c4eacf50c

Aliases

arxiv: math/0411138 · arxiv_version: math/0411138v1 · doi: 10.48550/arxiv.math/0411138 · pith_short_12: JSE3CIASLR2O · pith_short_16: JSE3CIASLR2O5SGU · pith_short_8: JSE3CIAS

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/JSE3CIASLR2O5SGUC3EACWKGEW \
  | 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: 4c89b120125c74eec8d416c801594625839a0999950ff71a81096b5c4eacf50c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7c9f72a7213c1933febe1b3071616dadfc42539a5b668a549dceb555aba4b7",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "cs.GT",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-11-06T20:33:39Z",
    "title_canon_sha256": "8d1e1f71594a81760642363c871be448fe9f974bce20ff579171ec00031df89c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411138",
    "kind": "arxiv",
    "version": 1
  }
}