Pith Number

pith:3QQDUQ3V

pith:2016:3QQDUQ3VY25IPJQQNOMZGUOACA

not attested not anchored not stored refs pending

3-Rainbow index and forbidden subgraphs

Jingshu Zhang, Wenjing Li, Xueliang Li

arxiv:1610.05616 v2 · 2016-10-18 · 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{3QQDUQ3VY25IPJQQNOMZGUOACA}

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	2026-05-18T01:01:51.198599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc203a4375c6ba87a6106b999351c0102f833ead21d7f964cc71fd0a7d4f18f5

Aliases

arxiv: 1610.05616 · arxiv_version: 1610.05616v2 · doi: 10.48550/arxiv.1610.05616 · pith_short_12: 3QQDUQ3VY25I · pith_short_16: 3QQDUQ3VY25IPJQQ · pith_short_8: 3QQDUQ3V

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/3QQDUQ3VY25IPJQQNOMZGUOACA \
  | 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: dc203a4375c6ba87a6106b999351c0102f833ead21d7f964cc71fd0a7d4f18f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef3c0248e5119d94f09a0f6eae2517cdbc2fccf66e47b75f5ab156f148cffd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-18T13:49:28Z",
    "title_canon_sha256": "13126c99f437ebd8fbe0aa72b6664bff82832800fc24508368dfed18fb58e28e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05616",
    "kind": "arxiv",
    "version": 2
  }
}