Pith Number

pith:GHNLHOUZ

pith:2000:GHNLHOUZTKQ2O7CHUPOSOYUIG4

not attested not anchored not stored refs pending

Virasoro algebra and wreath product convolution

Igor Frenkel, Weiqiang Wang

arxiv:math/0006087 v2 · 2000-06-12 · math.QA · hep-th · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHNLHOUZTKQ2O7CHUPOSOYUIG4}

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	2026-07-04T14:34:33.534987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31dab3ba999aa1a77c47a3dd2762883721e3a1d944c2e758c18a371b68a274d5

Aliases

arxiv: math/0006087 · arxiv_version: math/0006087v2 · doi: 10.48550/arxiv.math/0006087 · pith_short_12: GHNLHOUZTKQ2 · pith_short_16: GHNLHOUZTKQ2O7CH · pith_short_8: GHNLHOUZ

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/GHNLHOUZTKQ2O7CHUPOSOYUIG4 \
  | 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: 31dab3ba999aa1a77c47a3dd2762883721e3a1d944c2e758c18a371b68a274d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b8157364c67a8f5b3ee520c1265bf7089a7341839451bee8ae0edcd9eb880f",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-06-12T15:12:35Z",
    "title_canon_sha256": "b5422c700517cee41645f36220b2c7d35d9a1d6908ae2eeb3e7902714da7d930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0006087",
    "kind": "arxiv",
    "version": 2
  }
}