Pith Number

pith:LWG4HSBR

pith:2012:LWG4HSBRTFHYI2NWQLDXSJX66G

not attested not anchored not stored refs pending

The star and biclique coloring and choosability problems

Francisco J. Soulignac, Marina Groshaus, Pablo Terlisky

arxiv:1210.7269 v2 · 2012-10-26 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWG4HSBRTFHYI2NWQLDXSJX66G}

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	2026-05-18T02:45:12.795150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d8dc3c831994f8469b682c77926fef1b2bd288e0628c0d7c66af4104611fb50

Aliases

arxiv: 1210.7269 · arxiv_version: 1210.7269v2 · doi: 10.48550/arxiv.1210.7269 · pith_short_12: LWG4HSBRTFHY · pith_short_16: LWG4HSBRTFHYI2NW · pith_short_8: LWG4HSBR

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/LWG4HSBRTFHYI2NWQLDXSJX66G \
  | 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: 5d8dc3c831994f8469b682c77926fef1b2bd288e0628c0d7c66af4104611fb50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7e5f81e056df2156bfa23292982caee7b23ad30c6795cd2abcdb463e0ae5ebc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-10-26T23:12:08Z",
    "title_canon_sha256": "189dabbc39d1afc0124d79f1001bd05245af6fdada0f55bad3932bfb69dd0d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7269",
    "kind": "arxiv",
    "version": 2
  }
}