Pith Number

pith:4VO2IXML

pith:2016:4VO2IXML4A7WFNSHB7XZWMNO62

not attested not anchored not stored refs pending

Jones-Wassermann subfactors for modular tensor categories

Feng Xu, Zhengwei Liu

arxiv:1612.08573 v3 · 2016-12-27 · math.OA · math-ph · math.MP · 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{4VO2IXML4A7WFNSHB7XZWMNO62}

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	2026-05-18T00:42:46.298912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55da45d8be03f62b6470fef9b31aef6bae51753103e5c15aa48f4e1d4709f6d

Aliases

arxiv: 1612.08573 · arxiv_version: 1612.08573v3 · doi: 10.48550/arxiv.1612.08573 · pith_short_12: 4VO2IXML4A7W · pith_short_16: 4VO2IXML4A7WFNSH · pith_short_8: 4VO2IXML

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/4VO2IXML4A7WFNSHB7XZWMNO62 \
  | 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: e55da45d8be03f62b6470fef9b31aef6bae51753103e5c15aa48f4e1d4709f6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5320287b730a402a1eac1db1599d26ce1d9a5e3d94c5c57c442c79492040a952",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-12-27T11:12:03Z",
    "title_canon_sha256": "ab461477d5091acfd9479448f4f6f72fc4aca11f6f91c98db7367cd2a8a79c12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08573",
    "kind": "arxiv",
    "version": 3
  }
}