Pith Number

pith:A6RPRAI6

pith:2012:A6RPRAI6ULDCRP5WQGWDWGKORM

not attested not anchored not stored refs pending

Counting maximal antichains and independent sets

Jeff Kahn, Liviu Ilinca

arxiv:1202.4427 v1 · 2012-02-20 · 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{A6RPRAI6ULDCRP5WQGWDWGKORM}

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.

Cited by

1 paper in Pith

Finite-n Estimate of Dedekind Numbers by Layer-Ratio Monte Carlo

Receipt and verification

First computed	2026-05-18T04:01:51.579728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07a2f8811ea2c628bfb681ac3b194e8b136d94699605ab74f2aaf15abcbdff18

Aliases

arxiv: 1202.4427 · arxiv_version: 1202.4427v1 · doi: 10.48550/arxiv.1202.4427 · pith_short_12: A6RPRAI6ULDC · pith_short_16: A6RPRAI6ULDCRP5W · pith_short_8: A6RPRAI6

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/A6RPRAI6ULDCRP5WQGWDWGKORM \
  | 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: 07a2f8811ea2c628bfb681ac3b194e8b136d94699605ab74f2aaf15abcbdff18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6def07b225612b1df1d21a789f9d9d0f506c5a793f48962b5ed4c187711ae944",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-20T19:20:18Z",
    "title_canon_sha256": "cb7538d6af48fa0bb65038184e7a1c5ba6c50bd4cb41a3d03d5fa688dd233743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4427",
    "kind": "arxiv",
    "version": 1
  }
}