Pith Number

pith:LQTP3CNX

pith:2003:LQTP3CNXFA5Y3B5ISXCNGGDTS7

not attested not anchored not stored refs pending

Category O over a deformation of the symplectic oscillator algebra

Apoorva Khare

arxiv:math/0309251 v3 · 2003-09-15 · math.RT · math.QA · 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{LQTP3CNXFA5Y3B5ISXCNGGDTS7}

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	2026-05-18T02:28:13.775897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c26fd89b7283b8d87a895c4d3187397c27a7a38b64127bb9ca762c1abfb9509

Aliases

arxiv: math/0309251 · arxiv_version: math/0309251v3 · doi: 10.48550/arxiv.math/0309251 · pith_short_12: LQTP3CNXFA5Y · pith_short_16: LQTP3CNXFA5Y3B5I · pith_short_8: LQTP3CNX

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/LQTP3CNXFA5Y3B5ISXCNGGDTS7 \
  | 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: 5c26fd89b7283b8d87a895c4d3187397c27a7a38b64127bb9ca762c1abfb9509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797734e5ffb66eaadbe3346469d8138570e6655576190732397e0f73d89ab035",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2003-09-15T21:29:04Z",
    "title_canon_sha256": "cd29efaf577e6666911460b3ea483c74b5892f6b3f0a03a9f5aea21a40db71ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309251",
    "kind": "arxiv",
    "version": 3
  }
}