Pith Number

pith:TO3D2BGA

pith:2014:TO3D2BGAQXRNN6MFNGJCXLVY6C

not attested not anchored not stored refs pending

Fractional coloring of triangle-free planar graphs

Jan Volec, Jean-S\'ebastien Sereni, Zden\v{e}k Dvo\v{r}\'ak

arxiv:1402.5331 v1 · 2014-02-21 · 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{TO3D2BGAQXRNN6MFNGJCXLVY6C}

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	2026-05-18T02:58:22.574298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb63d04c085e2d6f98569922baeb8f085fa4802080a91e495127397a8162b5c

Aliases

arxiv: 1402.5331 · arxiv_version: 1402.5331v1 · doi: 10.48550/arxiv.1402.5331 · pith_short_12: TO3D2BGAQXRN · pith_short_16: TO3D2BGAQXRNN6MF · pith_short_8: TO3D2BGA

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/TO3D2BGAQXRNN6MFNGJCXLVY6C \
  | 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: 9bb63d04c085e2d6f98569922baeb8f085fa4802080a91e495127397a8162b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8de3db2acabf624c51df811c62a901c3a88f7167dab3db2b29e774f4ceb90b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-21T15:51:06Z",
    "title_canon_sha256": "1cedebe23ff47b179519414c6efbd78c48f749191c1852ad3494bfb8f736a295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5331",
    "kind": "arxiv",
    "version": 1
  }
}