Pith Number

pith:WBJAPUTF

pith:2019:WBJAPUTFN5SVXJDGV6OR466EQM

not attested not anchored not stored refs pending

Classification of some vertex operator algebras of rank 3

Cameron Franc, Geoffrey Mason

arxiv:1905.07500 v2 · 2019-05-17 · math.QA · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBJAPUTFN5SVXJDGV6OR466EQM}

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	2026-07-05T01:24:27.023810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b05207d2656f655ba466af9d1e7bc4830380b4800bb673bce896b0dd08ed1574

Aliases

arxiv: 1905.07500 · arxiv_version: 1905.07500v2 · doi: 10.48550/arxiv.1905.07500 · pith_short_12: WBJAPUTFN5SV · pith_short_16: WBJAPUTFN5SVXJDG · pith_short_8: WBJAPUTF

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/WBJAPUTFN5SVXJDGV6OR466EQM \
  | 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: b05207d2656f655ba466af9d1e7bc4830380b4800bb673bce896b0dd08ed1574

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65fc57ea05491540c3f27e1277e0467d7a85790bdc3f987d6fcb2e3c0655f853",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-05-17T23:04:28Z",
    "title_canon_sha256": "3fecdfc8c32c43e38a0065d88f5465432e7e11014f89f3661bfdd86db0ac7db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07500",
    "kind": "arxiv",
    "version": 2
  }
}