Pith Number

pith:56FNUG3S

pith:2014:56FNUG3SUB5ONEX2KVLCMM5LNM

not attested not anchored not stored refs pending

2-supertransitive subfactors at index $3+\sqrt{5}$

David Penneys, Scott Morrison

arxiv:1406.3401 v1 · 2014-06-13 · 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{56FNUG3SUB5ONEX2KVLCMM5LNM}

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	2026-05-18T01:34:13.495163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef8ada1b72a07ae692fa55562633ab6b064e97c09b12e9cbea12c376bb960c48

Aliases

arxiv: 1406.3401 · arxiv_version: 1406.3401v1 · doi: 10.48550/arxiv.1406.3401 · pith_short_12: 56FNUG3SUB5O · pith_short_16: 56FNUG3SUB5ONEX2 · pith_short_8: 56FNUG3S

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/56FNUG3SUB5ONEX2KVLCMM5LNM \
  | 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: ef8ada1b72a07ae692fa55562633ab6b064e97c09b12e9cbea12c376bb960c48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab9edcc3631484db645bbc36d8a98857f9173f45867edcdbe287d55a940aedf",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-06-13T01:11:32Z",
    "title_canon_sha256": "fe2850d5fc1fde5bc62df18d2fc999a152112716f0c4f8a5e63a78641c30f813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3401",
    "kind": "arxiv",
    "version": 1
  }
}