Pith Number

pith:25FCGMZH

pith:2008:25FCGMZHVTD37YJLG7C5AAUSVV

not attested not anchored not stored refs pending

Graph Polynomials: From Recursive Definitions To Subset Expansion Formulas

Benny Godlin, Emilia Katz, Johann A. Makowsky

arxiv:0812.1364 v1 · 2008-12-07 · cs.LO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25FCGMZHVTD37YJLG7C5AAUSVV}

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	2026-05-18T03:13:58.666400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d74a233327acc7bfe12b37c5d00292ad6a3626e6c12eb0c52ed08699fc093130

Aliases

arxiv: 0812.1364 · arxiv_version: 0812.1364v1 · doi: 10.48550/arxiv.0812.1364 · pith_short_12: 25FCGMZHVTD3 · pith_short_16: 25FCGMZHVTD37YJL · pith_short_8: 25FCGMZH

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/25FCGMZHVTD37YJLG7C5AAUSVV \
  | 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: d74a233327acc7bfe12b37c5d00292ad6a3626e6c12eb0c52ed08699fc093130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4783b086ddbabbe96a417fa971f84d7b3a434d95b33f155a7dba586629b19b96",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2008-12-07T16:50:53Z",
    "title_canon_sha256": "7011e929ab3af4859d42f28e6d222239cafe626cbf8d7dd4d3e0b4ec917c7365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1364",
    "kind": "arxiv",
    "version": 1
  }
}