Pith Number

pith:L55QEFR3

pith:2012:L55QEFR32N6JOC3J6ANWHAB4ZG

not attested not anchored not stored refs pending

Nonrepetitive colorings of lexicographic product of graphs

Bal\'azs Keszegh, Bal\'azs Patk\'os, Xuding Zhu

arxiv:1210.5607 v2 · 2012-10-20 · 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{L55QEFR32N6JOC3J6ANWHAB4ZG}

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	2026-05-18T03:13:20.292567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f7b02163bd37c970b69f01b63803cc98ee7d5a13d9b141190e5650a129437cb

Aliases

arxiv: 1210.5607 · arxiv_version: 1210.5607v2 · doi: 10.48550/arxiv.1210.5607 · pith_short_12: L55QEFR32N6J · pith_short_16: L55QEFR32N6JOC3J · pith_short_8: L55QEFR3

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/L55QEFR32N6JOC3J6ANWHAB4ZG \
  | 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: 5f7b02163bd37c970b69f01b63803cc98ee7d5a13d9b141190e5650a129437cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b1c5a34778dff3c4aa7afa63d55aea84cccf6c25082a15333fd7ab9705e522",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-20T11:48:03Z",
    "title_canon_sha256": "fb2bcbb118a3e71bf9bb0c6aa150838c7ce53a98f7ae21cd3b847c482b213f9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5607",
    "kind": "arxiv",
    "version": 2
  }
}