Pith Number

pith:HBBZWQDB

pith:2012:HBBZWQDBZIWWPQTGTD7MCKPZ5R

not attested not anchored not stored refs pending

On diamond-free subposets of the Boolean lattice

Lucas Kramer, Michael Young, Ryan R. Martin

arxiv:1205.1501 v2 · 2012-05-07 · 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{HBBZWQDBZIWWPQTGTD7MCKPZ5R}

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	2026-05-18T02:47:16.311303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38439b4061ca2d67c26698fec129f9ec4442491db31ffa45f09176da5def176a

Aliases

arxiv: 1205.1501 · arxiv_version: 1205.1501v2 · doi: 10.48550/arxiv.1205.1501 · pith_short_12: HBBZWQDBZIWW · pith_short_16: HBBZWQDBZIWWPQTG · pith_short_8: HBBZWQDB

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/HBBZWQDBZIWWPQTGTD7MCKPZ5R \
  | 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: 38439b4061ca2d67c26698fec129f9ec4442491db31ffa45f09176da5def176a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ef7b13f010e04c0083fee7c799f606f0aeb7005194da77dec532ec84c6c530",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-07T19:57:56Z",
    "title_canon_sha256": "60b4d4ac019a239543fa868aa7fbe957fadd255de0364dd698821e5ee9f7151e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1501",
    "kind": "arxiv",
    "version": 2
  }
}