Pith Number

pith:AHPNVL3X

pith:2010:AHPNVL3XFYYYJKBQZRUREGF3NU

not attested not anchored not stored refs pending

Diamond-free Families

Jerrold R. Griggs, Linyuan Lu, Wei-Tian Li

arxiv:1010.5311 v3 · 2010-10-26 · 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{AHPNVL3XFYYYJKBQZRUREGF3NU}

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	2026-05-18T04:14:05.911365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01dedaaf772e3184a830cc691218bb6d11035e4dfae3fc01bc0fd74b2692e0c0

Aliases

arxiv: 1010.5311 · arxiv_version: 1010.5311v3 · doi: 10.48550/arxiv.1010.5311 · pith_short_12: AHPNVL3XFYYY · pith_short_16: AHPNVL3XFYYYJKBQ · pith_short_8: AHPNVL3X

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/AHPNVL3XFYYYJKBQZRUREGF3NU \
  | 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: 01dedaaf772e3184a830cc691218bb6d11035e4dfae3fc01bc0fd74b2692e0c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54262e1a67c86e4498d29fce48978396d0fced4d54d11d6cc30155b745339026",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-26T04:16:38Z",
    "title_canon_sha256": "9b67d7b20a0359b179da7b6a2f2a7e42fc562c2aa9fecc30c025edec88113d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5311",
    "kind": "arxiv",
    "version": 3
  }
}