Pith Number

pith:XNP2I4WV

pith:2012:XNP2I4WVG6QZF762CYXQNUFMH7

not attested not anchored not stored refs pending

A construction of finite index C*-algebra inclusions from free actions of compact quantum groups

Kenny De Commer, Makoto Yamashita

arxiv:1201.4022 v2 · 2012-01-19 · 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{XNP2I4WVG6QZF762CYXQNUFMH7}

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	2026-05-17T23:55:30.359700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb5fa472d537a192ffda162f06d0ac3fedab93e60b02ab3d1b83b4465f7b2598

Aliases

arxiv: 1201.4022 · arxiv_version: 1201.4022v2 · doi: 10.48550/arxiv.1201.4022 · pith_short_12: XNP2I4WVG6QZ · pith_short_16: XNP2I4WVG6QZF762 · pith_short_8: XNP2I4WV

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/XNP2I4WVG6QZF762CYXQNUFMH7 \
  | 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: bb5fa472d537a192ffda162f06d0ac3fedab93e60b02ab3d1b83b4465f7b2598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a8000b5e2a707916a156755fee29b2440a6a42b8778d38dd06dfb9e47303e84",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-19T11:05:19Z",
    "title_canon_sha256": "4d9017fa7c3980aef97089a75030494ddcfaec7d71e233b8f2fdf48ea30e9b62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4022",
    "kind": "arxiv",
    "version": 2
  }
}