Pith Number

pith:N4QWXHCF

pith:2009:N4QWXHCFRJOODYM3M7PJ552HG4

not attested not anchored not stored refs pending

Self-commuting lattice polynomial functions

Erkko Lehtonen, Miguel Couceiro

arxiv:0912.0478 v1 · 2009-12-02 · 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{N4QWXHCFRJOODYM3M7PJ552HG4}

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	2026-05-18T00:57:38.751970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f216b9c458a5ce1e19b67de9ef747372fbabb8cdee0858263d937fa602f7282

Aliases

arxiv: 0912.0478 · arxiv_version: 0912.0478v1 · doi: 10.48550/arxiv.0912.0478 · pith_short_12: N4QWXHCFRJOO · pith_short_16: N4QWXHCFRJOODYM3 · pith_short_8: N4QWXHCF

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/N4QWXHCFRJOODYM3M7PJ552HG4 \
  | 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: 6f216b9c458a5ce1e19b67de9ef747372fbabb8cdee0858263d937fa602f7282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8feebf11b43be2dee354d5c1b6b44a24d88127de79325701123b4237ee7cb316",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-12-02T17:49:29Z",
    "title_canon_sha256": "1cac8fd2ff023b7f99b6778b3369ebf74437cdcce5541154968edb6cfe9c6fea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0478",
    "kind": "arxiv",
    "version": 1
  }
}