Pith Number

pith:2XXJPJ5U

pith:1991:2XXJPJ5UEEMTSACOE2Q3LDTXCZ

not attested not anchored not stored refs pending

On the classical $W_N^{(l)}$ algebras

D.A.Depireux, P.Mathieu

arxiv:hep-th/9111046 v1 · 1991-11-22 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XXJPJ5UEEMTSACOE2Q3LDTXCZ}

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	2026-05-18T01:38:45.107688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5ee97a7b4211939004e26a1b58e77165b492e4eb14585d4fa5a7b971db0df49

Aliases

arxiv: hep-th/9111046 · arxiv_version: hep-th/9111046v1 · doi: 10.48550/arxiv.hep-th/9111046 · pith_short_12: 2XXJPJ5UEEMT · pith_short_16: 2XXJPJ5UEEMTSACO · pith_short_8: 2XXJPJ5U

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/2XXJPJ5UEEMTSACOE2Q3LDTXCZ \
  | 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: d5ee97a7b4211939004e26a1b58e77165b492e4eb14585d4fa5a7b971db0df49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e39fe71b7741380a5a43a56311b46caf59ac76c5bf7486f8af853c14e756bf2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1991-11-22T18:46:27Z",
    "title_canon_sha256": "0f514e2571fd6f555fb6d6d66930f29c33c61ea271acd588e0254f761e3811eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9111046",
    "kind": "arxiv",
    "version": 1
  }
}