Pith Number

pith:HOZKIX7R

pith:2009:HOZKIX7RIJRQIT6XFNVUTY7FFL

not attested not anchored not stored refs pending

Associative polynomial functions over bounded distributive lattices

Jean-Luc Marichal, Miguel Couceiro

arxiv:0902.2323 v4 · 2009-02-13 · math.RA · 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{HOZKIX7RIJRQIT6XFNVUTY7FFL}

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	2026-05-18T04:27:45.600909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bb2a45ff14263044fd72b6b49e3e52ae84792cc99d7e7324a67f78217a1db67

Aliases

arxiv: 0902.2323 · arxiv_version: 0902.2323v4 · doi: 10.48550/arxiv.0902.2323 · pith_short_12: HOZKIX7RIJRQ · pith_short_16: HOZKIX7RIJRQIT6X · pith_short_8: HOZKIX7R

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/HOZKIX7RIJRQIT6XFNVUTY7FFL \
  | 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: 3bb2a45ff14263044fd72b6b49e3e52ae84792cc99d7e7324a67f78217a1db67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80506bbec6c5173230c786e2d4242d8f8d177e0d3450c16a26c197a0a13c9f3f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-02-13T16:08:35Z",
    "title_canon_sha256": "f797f461d04732dcbbee654df65ae11c75356c61eb40da20b617a3ed681c9f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2323",
    "kind": "arxiv",
    "version": 4
  }
}