Pith Number

pith:3I4AK2B4

pith:2007:3I4AK2B4VJJDWYBNFRLUNRJL2K

not attested not anchored not stored refs pending

Deciding k-colourability of $P_5$-free graphs in polynomial time

Ch\'inh T. Ho\`ang, J. Sawada, Marcin Kami\'nski, Vadim Lozin, X. Shu

arxiv:cs/0702043 v1 · 2007-02-07 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I4AK2B4VJJDWYBNFRLUNRJL2K}

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	2026-05-18T01:09:19.580172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3805683caa523b602d2c5746c52bd281e0fa7e4c89c8175bde508b97ab6841

Aliases

arxiv: cs/0702043 · arxiv_version: cs/0702043v1 · doi: 10.48550/arxiv.cs/0702043 · pith_short_12: 3I4AK2B4VJJD · pith_short_16: 3I4AK2B4VJJDWYBN · pith_short_8: 3I4AK2B4

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/3I4AK2B4VJJDWYBNFRLUNRJL2K \
  | 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: da3805683caa523b602d2c5746c52bd281e0fa7e4c89c8175bde508b97ab6841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f2bb8b38de329ec08d29380be1b120dc99b3489df3525fdfa64f2fc4e6a1315",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.DS",
    "submitted_at": "2007-02-07T15:29:32Z",
    "title_canon_sha256": "84a707a5d1968f0eef0ac102da417eb2bff1cb93975de1192038da5b0a42b1de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0702043",
    "kind": "arxiv",
    "version": 1
  }
}