Pith Number

pith:LY7QHBJB

pith:2014:LY7QHBJBVCYVGWRDZJJ64CVR5X

not attested not anchored not stored refs pending

Graphs without proper subgraphs of minimum degree 3 and short cycles

Alexey Pokrovskiy, Lothar Narins, Tibor Szab\'o

arxiv:1408.5289 v1 · 2014-08-22 · 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{LY7QHBJBVCYVGWRDZJJ64CVR5X}

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	2026-05-18T02:44:33.448867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e3f038521a8b1535a23ca53ee0ab1edd3ceb86fa891d83eb8aaf362ce83e477

Aliases

arxiv: 1408.5289 · arxiv_version: 1408.5289v1 · doi: 10.48550/arxiv.1408.5289 · pith_short_12: LY7QHBJBVCYV · pith_short_16: LY7QHBJBVCYVGWRD · pith_short_8: LY7QHBJB

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/LY7QHBJBVCYVGWRDZJJ64CVR5X \
  | 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: 5e3f038521a8b1535a23ca53ee0ab1edd3ceb86fa891d83eb8aaf362ce83e477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff456d86a06e2d76e2948f2c783be901c76107e720f92ccb97dfaf59fa8b17e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-22T13:13:10Z",
    "title_canon_sha256": "ee8597ae921f6212c59c54d7d99c592cc0391090daa363b7fad183fe0babc9e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5289",
    "kind": "arxiv",
    "version": 1
  }
}