Pith Number

pith:LJ2HZNAT

pith:2005:LJ2HZNATCULIAGSEW5S2BXIFA2

not attested not anchored not stored refs pending

Finite vs. affine W-algebras

Alberto De Sole, Victor Kac

arxiv:math-ph/0511055 v3 · 2005-11-16 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJ2HZNATCULIAGSEW5S2BXIFA2}

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	2026-05-18T01:24:09.249643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a747cb4131516801a44b765a0dd0506818871c6aa7782bad72633e2bb88783d

Aliases

arxiv: math-ph/0511055 · arxiv_version: math-ph/0511055v3 · doi: 10.48550/arxiv.math-ph/0511055 · pith_short_12: LJ2HZNATCULI · pith_short_16: LJ2HZNATCULIAGSE · pith_short_8: LJ2HZNAT

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/LJ2HZNATCULIAGSEW5S2BXIFA2 \
  | 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: 5a747cb4131516801a44b765a0dd0506818871c6aa7782bad72633e2bb88783d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eb03625eb13bb8920071f9d14c14931dfd13814aa04971fd1d42a2abe8e8b39",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-11-16T20:33:34Z",
    "title_canon_sha256": "bb058bc64ffa3321fffb06fa52fc1e713624ec1694f8227254dcc50c0f56297b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0511055",
    "kind": "arxiv",
    "version": 3
  }
}