Pith Number

pith:UK3VIXFJ

pith:2010:UK3VIXFJSMBP5XXDCM2KLAPATB

not attested not anchored not stored refs pending

Fractional colorings of cubic graphs with large girth

Daniel Kral, Frantisek Kardos, Jan Volec

arxiv:1010.3415 v1 · 2010-10-17 · 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{UK3VIXFJSMBP5XXDCM2KLAPATB}

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	2026-05-18T04:39:09.182266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b7545ca99302fedee31334a581e098447006e50af9ee9d84d11662c06711c5

Aliases

arxiv: 1010.3415 · arxiv_version: 1010.3415v1 · doi: 10.48550/arxiv.1010.3415 · pith_short_12: UK3VIXFJSMBP · pith_short_16: UK3VIXFJSMBP5XXD · pith_short_8: UK3VIXFJ

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/UK3VIXFJSMBP5XXDCM2KLAPATB \
  | 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: a2b7545ca99302fedee31334a581e098447006e50af9ee9d84d11662c06711c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac404c684d71f52bc81ef39fb6874afc3a506f0dddfcb5f1ba8ead075149450e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-17T14:28:29Z",
    "title_canon_sha256": "1591991f451f8a0f2bb41e3bae7cbb5546648e0488ff38b51e33e5e6b07b6ae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3415",
    "kind": "arxiv",
    "version": 1
  }
}