Pith Number

pith:KMCRM5GU

pith:2013:KMCRM5GUMYI75HUR3EGU2D5RAS

not attested not anchored not stored refs pending

Unitary vertex operator algebras

Chongying Dong, Xingjun Lin

arxiv:1308.2361 v1 · 2013-08-11 · 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{KMCRM5GUMYI75HUR3EGU2D5RAS}

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	2026-05-18T03:16:07.687297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53051674d46611fe9e91d90d4d0fb104b275235bf3204613fa2fce4b53cdef51

Aliases

arxiv: 1308.2361 · arxiv_version: 1308.2361v1 · doi: 10.48550/arxiv.1308.2361 · pith_short_12: KMCRM5GUMYI7 · pith_short_16: KMCRM5GUMYI75HUR · pith_short_8: KMCRM5GU

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/KMCRM5GUMYI75HUR3EGU2D5RAS \
  | 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: 53051674d46611fe9e91d90d4d0fb104b275235bf3204613fa2fce4b53cdef51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d06f7b4896b9ad7ad80893e325ecf3ad72076fcceede349e8a32b9c3c05bc66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-08-11T03:14:17Z",
    "title_canon_sha256": "602f83c66e8443b7302426977d28a7fa3719268d3673a9db39d0842999ecd2b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2361",
    "kind": "arxiv",
    "version": 1
  }
}