Pith Number

pith:KY4JBCBL

pith:2009:KY4JBCBL6JLS5WD26NMQNWG6DX

not attested not anchored not stored refs pending

Quasi-polynomial functions over bounded distributive lattices

Jean-Luc Marichal, Miguel Couceiro

arxiv:0909.3009 v2 · 2009-09-16 · math.FA · 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{KY4JBCBL6JLS5WD26NMQNWG6DX}

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	2026-05-18T04:35:05.266512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

563890882bf2572ed87af35906d8de1de7030627a48012eee6446bd9369bf1b2

Aliases

arxiv: 0909.3009 · arxiv_version: 0909.3009v2 · doi: 10.48550/arxiv.0909.3009 · pith_short_12: KY4JBCBL6JLS · pith_short_16: KY4JBCBL6JLS5WD2 · pith_short_8: KY4JBCBL

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/KY4JBCBL6JLS5WD26NMQNWG6DX \
  | 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: 563890882bf2572ed87af35906d8de1de7030627a48012eee6446bd9369bf1b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc7a4a018217bd3ac5d1f1e7123e97eacfda57ac300dfdb41937b8f9abcaae60",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-09-16T13:28:28Z",
    "title_canon_sha256": "b01aead9421d19e4676d422f894a6acba1714cc47263632a03d8e43682121f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3009",
    "kind": "arxiv",
    "version": 2
  }
}