Pith Number

pith:5AVNHJO3

pith:2009:5AVNHJO3EZOT72ZFAZOQDMNBK4

not attested not anchored not stored refs pending

Polynomial functions over bounded distributive lattices

Jean-Luc Marichal, Miguel Couceiro

arxiv:0901.4888 v3 · 2009-01-30 · 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{5AVNHJO3EZOT72ZFAZOQDMNBK4}

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	2026-05-18T04:02:12.292650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e82ad3a5db265d3feb25065d01b1a1572f984ca934d843353767e23f3ccb5c73

Aliases

arxiv: 0901.4888 · arxiv_version: 0901.4888v3 · doi: 10.48550/arxiv.0901.4888 · pith_short_12: 5AVNHJO3EZOT · pith_short_16: 5AVNHJO3EZOT72ZF · pith_short_8: 5AVNHJO3

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/5AVNHJO3EZOT72ZFAZOQDMNBK4 \
  | 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: e82ad3a5db265d3feb25065d01b1a1572f984ca934d843353767e23f3ccb5c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c971c9fc6bab7b6259ec85214532a76750d8cc1ae5e4a4d6e105f3d9028a93",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-01-30T14:09:58Z",
    "title_canon_sha256": "3b4346dbfc4c20635d01c0a547a202fc5e05f3e4f02c62f1c7ed3331ed4e09d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4888",
    "kind": "arxiv",
    "version": 3
  }
}