Pith Number

pith:YBVHRECB

pith:2011:YBVHRECBFXASGIT7F3HFQI335V

not attested not anchored not stored refs pending

Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra

James Lepowsky, Lin Zhang, Yi-Zhi Huang

arxiv:1110.1931 v2 · 2011-10-10 · 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{YBVHRECBFXASGIT7F3HFQI335V}

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	2026-05-18T03:55:56.065014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c06a7890412dc123227f2ece58237bed7fa6a51e76c9f36ee9219b565e62d369

Aliases

arxiv: 1110.1931 · arxiv_version: 1110.1931v2 · doi: 10.48550/arxiv.1110.1931 · pith_short_12: YBVHRECBFXAS · pith_short_16: YBVHRECBFXASGIT7 · pith_short_8: YBVHRECB

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/YBVHRECBFXASGIT7F3HFQI335V \
  | 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: c06a7890412dc123227f2ece58237bed7fa6a51e76c9f36ee9219b565e62d369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f93b1b65b17be0922c7d6b888f68aa9a639f682ac899dfb9d7198f587124b8c4",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-10-10T05:31:45Z",
    "title_canon_sha256": "1e10d33b74230cf47a0165da53367e23e707015400f814eb56323b0e4b63ad0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1931",
    "kind": "arxiv",
    "version": 2
  }
}