Pith Number

pith:BG24OTEV

pith:2011:BG24OTEVDLHYBFGKHFSER5XJRW

not attested not anchored not stored refs pending

Subfactors, Planar Algebras and Rotations

Michael Burns

arxiv:1111.1362 v1 · 2011-11-06 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BG24OTEVDLHYBFGKHFSER5XJRW}

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

Minimal index and dimension for inclusions of von Neumann algebras with finite-dimensional centers

Receipt and verification

First computed	2026-05-18T04:09:26.376459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b5c74c951acf8094ca396448f6e98da5604d61a72f41b725b3f355f818d3fc

Aliases

arxiv: 1111.1362 · arxiv_version: 1111.1362v1 · doi: 10.48550/arxiv.1111.1362 · pith_short_12: BG24OTEVDLHY · pith_short_16: BG24OTEVDLHYBFGK · pith_short_8: BG24OTEV

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/BG24OTEVDLHYBFGKHFSER5XJRW \
  | 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: 09b5c74c951acf8094ca396448f6e98da5604d61a72f41b725b3f355f818d3fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b4a8d433b3baab4ce538519c3b57fb3996e960fc4039a1663f1194508d76ddf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-11-06T01:04:47Z",
    "title_canon_sha256": "a2556a350c143cbb1fc8fa3ed94419d0be0a0e2af6de3520d8b690c6a5866009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1362",
    "kind": "arxiv",
    "version": 1
  }
}