Pith Number

pith:5D234G4S

pith:2012:5D234G4S2SDP4LMMPGPKAKN6UC

not attested not anchored not stored refs pending

Classification of factorial generalized down-up algebras

Samuel A. Lopes, St\'ephane Launois

arxiv:1208.4833 v1 · 2012-08-23 · 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{5D234G4S2SDP4LMMPGPKAKN6UC}

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	2026-05-18T03:48:12.571833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f5be1b92d486fe2d8c799ea029bea0ada24b05ec569412c98ce04b3975e243

Aliases

arxiv: 1208.4833 · arxiv_version: 1208.4833v1 · doi: 10.48550/arxiv.1208.4833 · pith_short_12: 5D234G4S2SDP · pith_short_16: 5D234G4S2SDP4LMM · pith_short_8: 5D234G4S

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/5D234G4S2SDP4LMMPGPKAKN6UC \
  | 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: e8f5be1b92d486fe2d8c799ea029bea0ada24b05ec569412c98ce04b3975e243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2d804a02fdd51bd89bdfacd3fe0f438e43de96e9d7a94c59e5c98ab280f44f4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-08-23T19:27:07Z",
    "title_canon_sha256": "abf3cda5dfccdc56226f4e3f6a5506861709e811ebc9da2af6d39662a187485a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4833",
    "kind": "arxiv",
    "version": 1
  }
}