Pith Number

pith:6OJDZOWP

pith:2011:6OJDZOWPHB3IBY56J6KMIOL3QO

not attested not anchored not stored refs pending

A Generalized Next-Closure Algorithm -- Enumerating Semilattice Elements from a Generating Set

Daniel Borchmann

arxiv:1111.3975 v2 · 2011-11-15 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OJDZOWPHB3IBY56J6KMIOL3QO}

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	2026-05-18T04:04:18.657684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3923cbacf387680e3be4f94c4397b83af124e189ce3c391e238c22be105d1cc

Aliases

arxiv: 1111.3975 · arxiv_version: 1111.3975v2 · doi: 10.48550/arxiv.1111.3975 · pith_short_12: 6OJDZOWPHB3I · pith_short_16: 6OJDZOWPHB3IBY56 · pith_short_8: 6OJDZOWP

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/6OJDZOWPHB3IBY56J6KMIOL3QO \
  | 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: f3923cbacf387680e3be4f94c4397b83af124e189ce3c391e238c22be105d1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "310a4e67217195db349eaa7fa0d4abab15d3b69474df263dcc4c1316c4ec3530",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-11-15T18:08:00Z",
    "title_canon_sha256": "c4ae79700fdf45e140e2091e1b825531bb7357b52d24c5d9ead5fd699c6235b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3975",
    "kind": "arxiv",
    "version": 2
  }
}