Pith Number

pith:FGAHAJ22

pith:2013:FGAHAJ22OESXCJYSWZT7IJ452T

not attested not anchored not stored refs pending

Odd pairs of cliques

Fr\'ed\'eric Maffray, Michel Burlet, Nicolas Trotignon

arxiv:1309.0449 v1 · 2013-09-02 · 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{FGAHAJ22OESXCJYSWZT7IJ452T}

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	2026-05-18T03:13:57.604828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298070275a7125712712b667f4279dd4d642c86cad1b0ad30c5bf2ffb1a2b4a5

Aliases

arxiv: 1309.0449 · arxiv_version: 1309.0449v1 · doi: 10.48550/arxiv.1309.0449 · pith_short_12: FGAHAJ22OESX · pith_short_16: FGAHAJ22OESXCJYS · pith_short_8: FGAHAJ22

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/FGAHAJ22OESXCJYSWZT7IJ452T \
  | 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: 298070275a7125712712b667f4279dd4d642c86cad1b0ad30c5bf2ffb1a2b4a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44048d42f254e79f491dd064cac845273eab5eef08053001e2da405f5506df6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-02T16:12:35Z",
    "title_canon_sha256": "3b856e5342229778667e9dc74b0987f790fecfca8e09dd31d372ddca0d340faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0449",
    "kind": "arxiv",
    "version": 1
  }
}