Pith Number

pith:NCD7N4XZ

pith:2016:NCD7N4XZY7VSTUIZTMSAYTNKYC

not attested not anchored not stored refs pending

The classification of $3^n$ subfactors and related fusion categories

Masaki Izumi

arxiv:1609.07604 v2 · 2016-09-24 · math.OA · 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{NCD7N4XZY7VSTUIZTMSAYTNKYC}

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	2026-05-18T01:03:05.488246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6887f6f2f9c7eb29d1199b240c4daac08fbe1433840f451711ebbd9b8929efbc

Aliases

arxiv: 1609.07604 · arxiv_version: 1609.07604v2 · doi: 10.48550/arxiv.1609.07604 · pith_short_12: NCD7N4XZY7VS · pith_short_16: NCD7N4XZY7VSTUIZ · pith_short_8: NCD7N4XZ

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/NCD7N4XZY7VSTUIZTMSAYTNKYC \
  | 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: 6887f6f2f9c7eb29d1199b240c4daac08fbe1433840f451711ebbd9b8929efbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7e62f3a3db98e7d52804962ef1409b9196fecd4400fc98434a77be9ee6f5311",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-09-24T11:34:49Z",
    "title_canon_sha256": "8fc9a6d46783a509a7ba6f99d483826a396b366799fdc31aa52a6a65c0e9937d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07604",
    "kind": "arxiv",
    "version": 2
  }
}