Pith Number

pith:DKLAQDGO

pith:2013:DKLAQDGOPEUARCLMRMFGACGE4X

not attested not anchored not stored refs pending

1-supertransitive subfactors with index at most 6+1/5

David Penneys, Scott Morrison, Zhengwei Liu

arxiv:1310.8566 v1 · 2013-10-31 · 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{DKLAQDGOPEUARCLMRMFGACGE4X}

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	2026-05-18T01:34:13.671900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a96080cce792808896c8b0a6008c4e5db2e771a1b975e6fb1d041da0a7b1c98

Aliases

arxiv: 1310.8566 · arxiv_version: 1310.8566v1 · doi: 10.48550/arxiv.1310.8566 · pith_short_12: DKLAQDGOPEUA · pith_short_16: DKLAQDGOPEUARCLM · pith_short_8: DKLAQDGO

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/DKLAQDGOPEUARCLMRMFGACGE4X \
  | 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: 1a96080cce792808896c8b0a6008c4e5db2e771a1b975e6fb1d041da0a7b1c98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca83fcc16e8465b821f260986546b18c069076c8afc9c6ef368aff4288fe4676",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-10-31T16:04:58Z",
    "title_canon_sha256": "cd2f768d1d97e6cc9a48dbc0a2718e6a1b940411bcde5b1b59244c8707488324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8566",
    "kind": "arxiv",
    "version": 1
  }
}