Pith Number

pith:22VF7MXD

pith:2011:22VF7MXDTS3IXQGVRZVE4FJNNH

not attested not anchored not stored refs pending

On the symmetric enveloping algebra of planar algebra subfactors

Dimitri Shlyakhtenko, Stephen Curran, Vaughan F. R. Jones

arxiv:1105.1721 v1 · 2011-05-09 · 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{22VF7MXDTS3IXQGVRZVE4FJNNH}

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	2026-05-18T04:22:31.581780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6aa5fb2e39cb68bc0d58e6a4e152d69cafac6c48794aa4309c10483c27082e1

Aliases

arxiv: 1105.1721 · arxiv_version: 1105.1721v1 · doi: 10.48550/arxiv.1105.1721 · pith_short_12: 22VF7MXDTS3I · pith_short_16: 22VF7MXDTS3IXQGV · pith_short_8: 22VF7MXD

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/22VF7MXDTS3IXQGVRZVE4FJNNH \
  | 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: d6aa5fb2e39cb68bc0d58e6a4e152d69cafac6c48794aa4309c10483c27082e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0afd98c748fffbb31fea0c39116a5e685b7d3d3e5531fc58a8ac869c71775e66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-05-09T16:41:20Z",
    "title_canon_sha256": "70f494570cc0c0e6135174520279a0ec4a20c3b8453c83acfbce460dd139fdc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1721",
    "kind": "arxiv",
    "version": 1
  }
}