Pith Number

pith:AHU7QFBQ

pith:2013:AHU7QFBQL7M3ALGXXGN7UR2DBC

not attested not anchored not stored refs pending

Topological full groups of $C^*$-algebras arising from $\beta$-expansions

Hiroki Matui, Kengo Matsumoto

arxiv:1306.1582 v1 · 2013-06-07 · math.OA · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHU7QFBQL7M3ALGXXGN7UR2DBC}

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	2026-05-17T23:53:35.572862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01e9f814305fd9b02cd7b99bfa474308a635b4ba28beb8c289e0a979b6022371

Aliases

arxiv: 1306.1582 · arxiv_version: 1306.1582v1 · doi: 10.48550/arxiv.1306.1582 · pith_short_12: AHU7QFBQL7M3 · pith_short_16: AHU7QFBQL7M3ALGX · pith_short_8: AHU7QFBQ

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/AHU7QFBQL7M3ALGXXGN7UR2DBC \
  | 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: 01e9f814305fd9b02cd7b99bfa474308a635b4ba28beb8c289e0a979b6022371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "317d4bf1f61b2b80fd94e6448d9ad53c4e88046539b4eb01478b23eaf35afeea",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-07T00:37:02Z",
    "title_canon_sha256": "85c13ab0cee6550512a5536b24412221166fa75e81df65f19f126447fd00fcce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1582",
    "kind": "arxiv",
    "version": 1
  }
}