Pith Number

pith:UAAIPLL2

pith:2010:UAAIPLL2LEBV4OB47JPTBUIKW2

not attested not anchored not stored refs pending

The stubborn problem is stubborn no more (a polynomial algorithm for 3-compatible colouring and the stubborn list partition problem)

Jakub Onufry Wojtaszczyk, Marcin Pilipczuk, Marek Cygan, Michal Pilipczuk

arxiv:1004.5010 v2 · 2010-04-28 · cs.DS

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

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	2026-05-18T04:36:09.440261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a00087ad7a59035e383cfa5f30d10ab6aaf51c3ef2d502e2975cc952a768af61

Aliases

arxiv: 1004.5010 · arxiv_version: 1004.5010v2 · doi: 10.48550/arxiv.1004.5010 · pith_short_12: UAAIPLL2LEBV · pith_short_16: UAAIPLL2LEBV4OB4 · pith_short_8: UAAIPLL2

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/UAAIPLL2LEBV4OB47JPTBUIKW2 \
  | 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: a00087ad7a59035e383cfa5f30d10ab6aaf51c3ef2d502e2975cc952a768af61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328150568bcf62ce610fc926d858ed0bb798fc8182143e6c19d2ccef5f7d5992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-04-28T12:20:52Z",
    "title_canon_sha256": "bdbad7a4ef90d4377c6ee8e2bc67f952492bbdd44ef3df0687719ceeffdfd85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5010",
    "kind": "arxiv",
    "version": 2
  }
}