Pith Number

pith:4V37JKWO

pith:2019:4V37JKWOONSX3MV2INUQ2V6HRT

not attested not anchored not stored refs pending

Strong cliques and forbidden cycles

Fran\c{c}ois Pirot, Ross J. Kang, Wouter Cames van Batenburg

arxiv:1903.06087 v1 · 2019-03-14 · 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{4V37JKWOONSX3MV2INUQ2V6HRT}

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	2026-05-17T23:51:15.416468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e577f4aace73657db2ba43690d57c78cfaaf71c14c205ddd86b2aedfa891a065

Aliases

arxiv: 1903.06087 · arxiv_version: 1903.06087v1 · doi: 10.48550/arxiv.1903.06087 · pith_short_12: 4V37JKWOONSX · pith_short_16: 4V37JKWOONSX3MV2 · pith_short_8: 4V37JKWO

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/4V37JKWOONSX3MV2INUQ2V6HRT \
  | 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: e577f4aace73657db2ba43690d57c78cfaaf71c14c205ddd86b2aedfa891a065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec4b792c2601b564e8400a11f9f10014042ee90be5e71ae21ace70b11be4e92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-14T15:45:20Z",
    "title_canon_sha256": "fa12042e73bfc15ea829dac9bd940575806460ebfab601972b72c12e893811a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06087",
    "kind": "arxiv",
    "version": 1
  }
}