Pith Number

pith:RKRB3OK3

pith:2009:RKRB3OK3FP2DPFZAHK42KR4FK2

not attested not anchored not stored refs pending

Statistics on Graphs, Exponential Formula and Combinatorial Physics

G. H. E. Duchamp (LIPN), K. A. Penson (LPTL), L. Poinsot (LIPN), S. Goodenough (LIPN)

arxiv:0910.0695 v2 · 2009-10-05 · cs.DM · cs.CE · math.CO · 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{RKRB3OK3FP2DPFZAHK42KR4FK2}

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	2026-05-18T04:37:20.835641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aa21db95b2bf43797203ab9a5478556a9e90fac6ed41c9c77692585a416bacd

Aliases

arxiv: 0910.0695 · arxiv_version: 0910.0695v2 · doi: 10.48550/arxiv.0910.0695 · pith_short_12: RKRB3OK3FP2D · pith_short_16: RKRB3OK3FP2DPFZA · pith_short_8: RKRB3OK3

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/RKRB3OK3FP2DPFZAHK42KR4FK2 \
  | 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: 8aa21db95b2bf43797203ab9a5478556a9e90fac6ed41c9c77692585a416bacd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e2e80040b7df17b75b15316398c6f4f296d5d1522b193ee2c9438799e7ed8bf",
    "cross_cats_sorted": [
      "cs.CE",
      "math.CO",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2009-10-05T08:44:47Z",
    "title_canon_sha256": "87e876e066cf28d4e30e1a92a847e23485a762b37b675ffa1a2a78819719d36c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0695",
    "kind": "arxiv",
    "version": 2
  }
}