Pith Number

pith:5JSIQJUC

pith:2017:5JSIQJUCFP46BBEDGYBWQTNAQI

not attested not anchored not stored refs pending

Unitarity of the modular tensor categories associated to unitary vertex operator algebras, I

Bin Gui

arxiv:1711.02840 v4 · 2017-11-08 · math.QA · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JSIQJUCFP46BBEDGYBWQTNAQI}

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	2026-05-17T23:52:08.279038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea648826822bf9e084833603684da082022b434b5964aa80da911ec6e699a8fc

Aliases

arxiv: 1711.02840 · arxiv_version: 1711.02840v4 · doi: 10.48550/arxiv.1711.02840 · pith_short_12: 5JSIQJUCFP46 · pith_short_16: 5JSIQJUCFP46BBED · pith_short_8: 5JSIQJUC

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/5JSIQJUCFP46BBEDGYBWQTNAQI \
  | 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: ea648826822bf9e084833603684da082022b434b5964aa80da911ec6e699a8fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4200079d15ec4a2e38aae8561f8b230eaaa7d4197baf689325175ad5a1e6a2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-11-08T05:46:13Z",
    "title_canon_sha256": "ba6a53504e722375e449a7928a265f901da96d3c253f31fb99ec11e70a157a1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02840",
    "kind": "arxiv",
    "version": 4
  }
}