Pith Number

pith:UJCVPWRV

pith:2010:UJCVPWRV5CMKVICNZINKUZ4VM3

not attested not anchored not stored refs pending

A remark on the $C_2$-cofiniteness condition on vertex algebras

Tomoyuki Arakawa

arxiv:1004.1492 v2 · 2010-04-09 · 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{UJCVPWRV5CMKVICNZINKUZ4VM3}

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	2026-05-18T04:38:50.597645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24557da35e898aaa04dca1aaa679566c6b9881e80112a94f8f57d6380510a48

Aliases

arxiv: 1004.1492 · arxiv_version: 1004.1492v2 · doi: 10.48550/arxiv.1004.1492 · pith_short_12: UJCVPWRV5CMK · pith_short_16: UJCVPWRV5CMKVICN · pith_short_8: UJCVPWRV

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/UJCVPWRV5CMKVICNZINKUZ4VM3 \
  | 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: a24557da35e898aaa04dca1aaa679566c6b9881e80112a94f8f57d6380510a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b7c554141c8695205f6cccb1ec16e2ed67c0ed5fe6a011b0263269ec218d57a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-04-09T08:34:28Z",
    "title_canon_sha256": "9b5d5627e275a11e559371825f5a3f7f083b38f3c68de6e834fa9627b628389e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1492",
    "kind": "arxiv",
    "version": 2
  }
}