Pith Number

pith:GRSZYIB2

pith:1999:GRSZYIB2OD6I2EO4CQGLGM2MPC

not attested not anchored not stored refs pending

Omni-Lie Algebras

Alan Weinstein

arxiv:math/9912190 v2 · 1999-12-22 · math.RT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRSZYIB2OD6I2EO4CQGLGM2MPC}

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	2026-07-04T14:41:32.637470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34659c203a70fc8d11dc140cb3334c789efb2180cc6f664681c4dd69232e30de

Aliases

arxiv: math/9912190 · arxiv_version: math/9912190v2 · doi: 10.48550/arxiv.math/9912190 · pith_short_12: GRSZYIB2OD6I · pith_short_16: GRSZYIB2OD6I2EO4 · pith_short_8: GRSZYIB2

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/GRSZYIB2OD6I2EO4CQGLGM2MPC \
  | 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: 34659c203a70fc8d11dc140cb3334c789efb2180cc6f664681c4dd69232e30de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce0e8fc2c802679e683950c64dd4b00622f5110dfbeaab095596ac305ea81f0f",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "1999-12-22T21:00:42Z",
    "title_canon_sha256": "c59140dbdeb46bfddbdfb10f04da49f0354aa9452c0c97a8f3163c62d2b3f607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912190",
    "kind": "arxiv",
    "version": 2
  }
}