Pith Number

pith:K4NWBI6F

pith:2004:K4NWBI6FCNRZBDMGYHRD5RN4KD

not attested not anchored not stored refs pending

Vertex operator algebras and the Verlinde conjecture

Yi-Zhi Huang

arxiv:math/0406291 v3 · 2004-06-15 · math.QA · hep-th · math-ph · math.AG · 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{K4NWBI6FCNRZBDMGYHRD5RN4KD}

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	2026-05-18T04:08:42.904601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571b60a3c51363908d86c1e23ec5bc50cee45dcd74af9e18c577794481296081

Aliases

arxiv: math/0406291 · arxiv_version: math/0406291v3 · doi: 10.48550/arxiv.math/0406291 · pith_short_12: K4NWBI6FCNRZ · pith_short_16: K4NWBI6FCNRZBDMG · pith_short_8: K4NWBI6F

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/K4NWBI6FCNRZBDMGYHRD5RN4KD \
  | 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: 571b60a3c51363908d86c1e23ec5bc50cee45dcd74af9e18c577794481296081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8b909096954b2e2e49a8caf688c999d93662a11c8512344bf08fc3c88374a0",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-06-15T11:26:57Z",
    "title_canon_sha256": "023f08acd34878931d113b765f83550fd6a04253bb2b87c754ecda522f2f8ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406291",
    "kind": "arxiv",
    "version": 3
  }
}