Pith Number

pith:Q3QAC25B

pith:1998:Q3QAC25BAUZPCLXI3QLHTMWAOQ

not attested not anchored not stored refs pending

Down-up Algebras

Georgia Benkart, Tom Roby

arxiv:math/9803159 v1 · 1998-03-12 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3QAC25BAUZPCLXI3QLHTMWAOQ}

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	2026-05-18T01:05:34.215423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86e0016ba10532f12ee8dc1679b2c07412337c25c3b2b9e12fe3d3e40d579d3d

Aliases

arxiv: math/9803159 · arxiv_version: math/9803159v1 · doi: 10.48550/arxiv.math/9803159 · pith_short_12: Q3QAC25BAUZP · pith_short_16: Q3QAC25BAUZPCLXI · pith_short_8: Q3QAC25B

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/Q3QAC25BAUZPCLXI3QLHTMWAOQ \
  | 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: 86e0016ba10532f12ee8dc1679b2c07412337c25c3b2b9e12fe3d3e40d579d3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92b091d8c2edb938f0a7bca494e981b32f78987e511b7b447d4afefe88ffcd06",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "1998-03-12T00:00:00Z",
    "title_canon_sha256": "405e72be87b8f24d2a0bf20dc72f4a058d30d3318f4a17c9ca136a15502fb17f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803159",
    "kind": "arxiv",
    "version": 1
  }
}