Pith Number

pith:GETEBOD2

pith:2004:GETEBOD2TEOZGM4DFYCUKUOPOJ

not attested not anchored not stored refs pending

Concerning the shape of a geometric lattice

W. M. B. Dukes

arxiv:math/0412251 v2 · 2004-12-13 · 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{GETEBOD2TEOZGM4DFYCUKUOPOJ}

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	2026-05-18T04:08:35.870787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

312640b87a991d9333832e054551cf72405810f2093ee3cfdcc2445fa281e31c

Aliases

arxiv: math/0412251 · arxiv_version: math/0412251v2 · doi: 10.48550/arxiv.math/0412251 · pith_short_12: GETEBOD2TEOZ · pith_short_16: GETEBOD2TEOZGM4D · pith_short_8: GETEBOD2

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/GETEBOD2TEOZGM4DFYCUKUOPOJ \
  | 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: 312640b87a991d9333832e054551cf72405810f2093ee3cfdcc2445fa281e31c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "194f030e1c30d61a035f44131ec98d64a7c0177bea5fe0948fc883a31a4982a8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-12-13T14:41:42Z",
    "title_canon_sha256": "8ccb7e4ad55eaf00251c5cbf8b04220c0c589df9a227ba247f8a45a54fa2288b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412251",
    "kind": "arxiv",
    "version": 2
  }
}