Pith Number

pith:TLNJ2CX2

pith:2019:TLNJ2CX2EWEK7XNB4MHD5RABOD

not attested not anchored not stored refs pending

Counterexamples to Thomassen's conjecture on decomposition of cubic graphs

Marcin Witkowski, Martin Merker, Tereza Klimo\v{s}ov\'a, Thomas Bellitto, Yelena Yuditsky

arxiv:1908.06697 v1 · 2019-08-19 · 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{TLNJ2CX2EWEK7XNB4MHD5RABOD}

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	2026-07-04T23:58:18.556544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ada9d0afa2588afdda1e30e3ec40170f689c7a5f600ec5d2b9ec6772b8a6c6f

Aliases

arxiv: 1908.06697 · arxiv_version: 1908.06697v1 · doi: 10.48550/arxiv.1908.06697 · pith_short_12: TLNJ2CX2EWEK · pith_short_16: TLNJ2CX2EWEK7XNB · pith_short_8: TLNJ2CX2

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/TLNJ2CX2EWEK7XNB4MHD5RABOD \
  | 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: 9ada9d0afa2588afdda1e30e3ec40170f689c7a5f600ec5d2b9ec6772b8a6c6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d76aa4c41ee003594243beb7d25f666b71c7ec020d8a11616b2dd0ea089ef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-19T11:15:53Z",
    "title_canon_sha256": "b67ece16c31d43e252f1def956e22b1f2177fd0cb538a5bbb20d838aca94891d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06697",
    "kind": "arxiv",
    "version": 1
  }
}