Pith Number

pith:3YRLF2TH

pith:1993:3YRLF2TH2CW2UE27BWYJISCD6H

not attested not anchored not stored refs pending

A theory of tensor products for module categories for a vertex operator algebra, I

James Lepowsky, Yi-Zhi Huang

arxiv:hep-th/9309076 v2 · 1993-09-14 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YRLF2TH2CW2UE27BWYJISCD6H}

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

Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging

Receipt and verification

First computed	2026-07-04T15:07:34.737183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de22b2ea67d0adaa135f0db0944843f1c1ddbeb727979b476ae41694d739a442

Aliases

arxiv: hep-th/9309076 · arxiv_version: hep-th/9309076v2 · doi: 10.48550/arxiv.hep-th/9309076 · pith_short_12: 3YRLF2TH2CW2 · pith_short_16: 3YRLF2TH2CW2UE27 · pith_short_8: 3YRLF2TH

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/3YRLF2TH2CW2UE27BWYJISCD6H \
  | 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: de22b2ea67d0adaa135f0db0944843f1c1ddbeb727979b476ae41694d739a442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b5bf8686784bc42e8509dc0b582a78c9aea97bae68715c48792e72072c0429d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-09-14T01:58:29Z",
    "title_canon_sha256": "1d93238ed966170a79e50169bbb46a676118fb7da316767efba2295de6b16fa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9309076",
    "kind": "arxiv",
    "version": 2
  }
}