Pith Number

pith:OA5BG3CN

pith:2012:OA5BG3CNHYFWFPWYUE52AOBFNM

not attested not anchored not stored refs pending

Minimizing the regularity of maximal regular antichains of 2- and 3-sets

Christian Reiher, Ian T. Roberts, Thomas Kalinowski, Uwe Leck

arxiv:1206.3752 v3 · 2012-06-17 · 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{OA5BG3CNHYFWFPWYUE52AOBFNM}

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	2026-05-18T01:24:31.019702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

703a136c4d3e0b62bed8a13ba038256b2469146a65633ed4137eefee21f85f1d

Aliases

arxiv: 1206.3752 · arxiv_version: 1206.3752v3 · doi: 10.48550/arxiv.1206.3752 · pith_short_12: OA5BG3CNHYFW · pith_short_16: OA5BG3CNHYFWFPWY · pith_short_8: OA5BG3CN

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/OA5BG3CNHYFWFPWYUE52AOBFNM \
  | 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: 703a136c4d3e0b62bed8a13ba038256b2469146a65633ed4137eefee21f85f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61fe52e0854003bc5afb203d4ba9c3267f3ad82610804066221fdd254dccb38b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-17T12:49:39Z",
    "title_canon_sha256": "da9b87c4c3881abd257f4b5daa3ee12466ee811953f53b904a3b16aa10c66b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3752",
    "kind": "arxiv",
    "version": 3
  }
}