Pith Number

pith:RIGIDBWV

pith:2013:RIGIDBWVIA3NRU5OWM25L4PI5K

not attested not anchored not stored refs pending

Boolean algebras and Lubell functions

Kevin G. Milans, Linyuan Lu, Travis Johnston

arxiv:1307.3312 v1 · 2013-07-12 · 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{RIGIDBWVIA3NRU5OWM25L4PI5K}

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	2026-05-18T03:18:39.501673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a0c8186d54036d8d3aeb335d5f1e8ea9f3d94efdc563ebb6f356ec36a7413d1

Aliases

arxiv: 1307.3312 · arxiv_version: 1307.3312v1 · doi: 10.48550/arxiv.1307.3312 · pith_short_12: RIGIDBWVIA3N · pith_short_16: RIGIDBWVIA3NRU5O · pith_short_8: RIGIDBWV

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/RIGIDBWVIA3NRU5OWM25L4PI5K \
  | 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: 8a0c8186d54036d8d3aeb335d5f1e8ea9f3d94efdc563ebb6f356ec36a7413d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "342a35ded36e4d0e458e727d8a4b28494326030f2234dfa96ea9df41e6588776",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-12T03:21:44Z",
    "title_canon_sha256": "9d6403a33632da770c75bc7b577a8793a8d32e0d0c9f257dc0082f66b30ea195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3312",
    "kind": "arxiv",
    "version": 1
  }
}