Pith Number

pith:7NGOOENU

pith:2012:7NGOOENUNLFHFO642PYWGRSBRF

not attested not anchored not stored refs pending

Regular families of forests, antichains and duality pairs of relational structures

Claude Tardif, D\"om\"ot\"or P\'alv\"olgyi, G\'abor Tardos, P\'eter L. Erd\H{o}s

arxiv:1207.4402 v3 · 2012-07-18 · math.CO · 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{7NGOOENUNLFHFO642PYWGRSBRF}

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	2026-05-18T01:58:27.555024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4ce711b46aca72bbdcd3f1634641896f07dad17a5b0e5cb80dad2976b76d1f

Aliases

arxiv: 1207.4402 · arxiv_version: 1207.4402v3 · doi: 10.48550/arxiv.1207.4402 · pith_short_12: 7NGOOENUNLFH · pith_short_16: 7NGOOENUNLFHFO64 · pith_short_8: 7NGOOENU

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/7NGOOENUNLFHFO642PYWGRSBRF \
  | 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: fb4ce711b46aca72bbdcd3f1634641896f07dad17a5b0e5cb80dad2976b76d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1463d2e55ba419fd1db618bf40d884b7d7bbbb370351eca87496cfdebba014a4",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-18T15:53:18Z",
    "title_canon_sha256": "276e141b458bd5e328e8f411aa410f40c9d866a1ddd4d6d2878845167bec0d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4402",
    "kind": "arxiv",
    "version": 3
  }
}