Pith Number

pith:YGWHDCSY

pith:2010:YGWHDCSY4REFYLMFQ4GYLSAQLZ

not attested not anchored not stored refs pending

Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules

James Lepowsky, Lin Zhang, Yi-Zhi Huang

arxiv:1012.4193 v7 · 2010-12-19 · 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{YGWHDCSY4REFYLMFQ4GYLSAQLZ}

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	2026-05-18T03:26:32.738489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ac718a58e4485c2d85870d85c8105e43b8ada7fb8737c010d0f181157f4f6d

Aliases

arxiv: 1012.4193 · arxiv_version: 1012.4193v7 · doi: 10.48550/arxiv.1012.4193 · pith_short_12: YGWHDCSY4REF · pith_short_16: YGWHDCSY4REFYLMF · pith_short_8: YGWHDCSY

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/YGWHDCSY4REFYLMFQ4GYLSAQLZ \
  | 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: c1ac718a58e4485c2d85870d85c8105e43b8ada7fb8737c010d0f181157f4f6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f76919f04306aae907bcbccc28dbd2cf17114ba1d946be010123be2b25c0d19",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-12-19T19:08:06Z",
    "title_canon_sha256": "1bd3cc8bafe92138cde7b7537da168d9bb293083727eee6e611aa1c5a1a2a5d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4193",
    "kind": "arxiv",
    "version": 7
  }
}