Pith Number

pith:AK7JINEP

pith:2001:AK7JINEPNLKEJU5ZHH3ZJDORAH

not attested not anchored not stored refs pending

The Annular Structure of Subfactors

Vaughan F. R. Jones

arxiv:math/0105071 v1 · 2001-05-09 · 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{AK7JINEPNLKEJU5ZHH3ZJDORAH}

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.

Cited by

1 paper in Pith

Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order

Receipt and verification

First computed	2026-07-04T14:35:19.764272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02be94348f6ad444d3b939f7948dd101d52bcbd10e70a16f70f3989199990e10

Aliases

arxiv: math/0105071 · arxiv_version: math/0105071v1 · doi: 10.48550/arxiv.math/0105071 · pith_short_12: AK7JINEPNLKE · pith_short_16: AK7JINEPNLKEJU5Z · pith_short_8: AK7JINEP

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/AK7JINEPNLKEJU5ZHH3ZJDORAH \
  | 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: 02be94348f6ad444d3b939f7948dd101d52bcbd10e70a16f70f3989199990e10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9320889e5ad0a49e166522e4b39e33d2c3a28e93766dfe62d2dbaa2a6a8238",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2001-05-09T17:53:11Z",
    "title_canon_sha256": "38bc9be35dfdc35a289e861545d6bf1ad44a81df1e2c7e4026c401a03481c8c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105071",
    "kind": "arxiv",
    "version": 1
  }
}