Pith Number

pith:OPO6LRT3

pith:2011:OPO6LRT3V6C3OBXAKGE3E7FALD

not attested not anchored not stored refs pending

Subfactors of index less than 5, part 3: quadruple points

Masaki Izumi, Noah Snyder, Scott Morrison, Vaughan F. R. Jones

arxiv:1109.3190 v1 · 2011-09-14 · 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{OPO6LRT3V6C3OBXAKGE3E7FALD}

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	2026-05-18T01:34:13.874361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73dde5c67baf85b706e05189b27ca058ff410075b5ec441d48610bfa0980f2af

Aliases

arxiv: 1109.3190 · arxiv_version: 1109.3190v1 · doi: 10.48550/arxiv.1109.3190 · pith_short_12: OPO6LRT3V6C3 · pith_short_16: OPO6LRT3V6C3OBXA · pith_short_8: OPO6LRT3

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/OPO6LRT3V6C3OBXAKGE3E7FALD \
  | 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: 73dde5c67baf85b706e05189b27ca058ff410075b5ec441d48610bfa0980f2af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51e946dd0f743e3074cf2e0ea2b308c17add5de8be0144d2a6de31872aaea3d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-09-14T20:00:05Z",
    "title_canon_sha256": "7c7d2388b6d3587da155900a6b6c02b24f347bd2594ffdffbfa406919e9781d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3190",
    "kind": "arxiv",
    "version": 1
  }
}