Pith Number

pith:45VTJNBE

pith:2002:45VTJNBEYVNMT2FVPSJZXJH3PY

not attested not anchored not stored refs pending

Graded Lie Algebra Generating of Parastatistical Algebraic Structure

Si Cong Jing, Wei Min Yang

arxiv:math-ph/0212009 v1 · 2002-12-03 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45VTJNBEYVNMT2FVPSJZXJH3PY}

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.

Cited by

1 paper in Pith

Signature of paraparticles: a minimal Gedankenexperiment

Receipt and verification

First computed	2026-05-18T04:30:14.962249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76b34b424c55ac9e8b57c939ba4fb7e156f926035f9e31f0dd39e20e0ba81f1

Aliases

arxiv: math-ph/0212009 · arxiv_version: math-ph/0212009v1 · doi: 10.48550/arxiv.math-ph/0212009 · pith_short_12: 45VTJNBEYVNM · pith_short_16: 45VTJNBEYVNMT2FV · pith_short_8: 45VTJNBE

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/45VTJNBEYVNMT2FVPSJZXJH3PY \
  | 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: e76b34b424c55ac9e8b57c939ba4fb7e156f926035f9e31f0dd39e20e0ba81f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7344af8bc9cfc16ab2543dd090fb3dbe40e395c29c01f4f087a8fb3de22e64a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-12-03T01:38:11Z",
    "title_canon_sha256": "df0b465c56bb365472268131eda4c6a8f3a246547174dcf3e1d43dac26a3bcbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0212009",
    "kind": "arxiv",
    "version": 1
  }
}