Pith Number

pith:34GVNLUU

pith:2010:34GVNLUU64OBDG5CTYI3BNMPPN

not attested not anchored not stored refs pending

C_2-cofiniteness of the 2-cycle permutation orbifold models of minimal Virasoro vertex operator algebras

Toshiyuki Abe

arxiv:1005.1767 v2 · 2010-05-11 · 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{34GVNLUU64OBDG5CTYI3BNMPPN}

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	2026-05-18T04:15:06.754400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df0d56ae94f71c119ba29e11b0b58f7b4c6cb5ea523ea8d79405ce5e2b574d09

Aliases

arxiv: 1005.1767 · arxiv_version: 1005.1767v2 · doi: 10.48550/arxiv.1005.1767 · pith_short_12: 34GVNLUU64OB · pith_short_16: 34GVNLUU64OBDG5C · pith_short_8: 34GVNLUU

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/34GVNLUU64OBDG5CTYI3BNMPPN \
  | 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: df0d56ae94f71c119ba29e11b0b58f7b4c6cb5ea523ea8d79405ce5e2b574d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f95c05f393da940e9017a74f7062b731cc8ffd1f4b99e043b67bb0dd1cf037d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-05-11T08:56:32Z",
    "title_canon_sha256": "1612038277454e1e76e34b6eeada6ad2d65d5803333a3b7f28a8373a96bb07ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1767",
    "kind": "arxiv",
    "version": 2
  }
}