Pith Number

pith:5UQFM2UK

pith:2014:5UQFM2UKXOC2GX7UHWK3SKUTRA

not attested not anchored not stored refs pending

Multigraphs without large bonds are wqo by contraction

Jean-Florent Raymond, Marcin Kami\'nski, Th\'eophile Trunck

arxiv:1412.2407 v2 · 2014-12-07 · 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{5UQFM2UKXOC2GX7UHWK3SKUTRA}

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	2026-05-18T00:29:54.085077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed20566a8abb85a35ff43d95b92a9388201be42b6c7c54198312cba206dd2817

Aliases

arxiv: 1412.2407 · arxiv_version: 1412.2407v2 · doi: 10.48550/arxiv.1412.2407 · pith_short_12: 5UQFM2UKXOC2 · pith_short_16: 5UQFM2UKXOC2GX7U · pith_short_8: 5UQFM2UK

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/5UQFM2UKXOC2GX7UHWK3SKUTRA \
  | 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: ed20566a8abb85a35ff43d95b92a9388201be42b6c7c54198312cba206dd2817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "029c8767f22f9cdaa0183ec04fb8cb53d4cb003f7bc40c319284b80f81029262",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-07T22:43:35Z",
    "title_canon_sha256": "6393c83f3b3ca158164ecd238e016946045fee4358a1d7b7e70f575d4cea9e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2407",
    "kind": "arxiv",
    "version": 2
  }
}