Pith Number

pith:WUHFCYJP

pith:2010:WUHFCYJPB7M3OIW32RGSMRN6IV

not attested not anchored not stored refs pending

Rationality of vertex operator algebra V_L^+: higher rank

Chongying Dong, Cuipo Jiang, Xingjun Lin

arxiv:1011.5526 v2 · 2010-11-24 · 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{WUHFCYJPB7M3OIW32RGSMRN6IV}

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	2026-05-18T02:58:01.442409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b50e51612f0fd9b722dbd44d2645be454e650ce7842d54e2029dc41b39553a99

Aliases

arxiv: 1011.5526 · arxiv_version: 1011.5526v2 · doi: 10.48550/arxiv.1011.5526 · pith_short_12: WUHFCYJPB7M3 · pith_short_16: WUHFCYJPB7M3OIW3 · pith_short_8: WUHFCYJP

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/WUHFCYJPB7M3OIW32RGSMRN6IV \
  | 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: b50e51612f0fd9b722dbd44d2645be454e650ce7842d54e2029dc41b39553a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e5f33c4bd7db2e7808c44809ad6e9cb91ef70d52c8352045e09809909f9134",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-11-24T22:35:45Z",
    "title_canon_sha256": "0996299eeecbe4d72584a4d44091f65ce8f2b6045fea30e533b71dd6c69d9906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5526",
    "kind": "arxiv",
    "version": 2
  }
}