Pith Number

pith:CCN6XEP3

pith:2011:CCN6XEP35PJFMNLQSCIRCSMUBY

not attested not anchored not stored refs pending

The crossed-product structure of C*-algebras arising from topological dynamical systems

Cynthia Farthing, Nura Patani, Paulette N. Willis

arxiv:1105.4526 v3 · 2011-05-23 · 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{CCN6XEP35PJFMNLQSCIRCSMUBY}

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	2026-05-18T04:20:52.316791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109beb91fbebd256357090911149940e14c94f6c737a9affdcfd3d0b98b107b8

Aliases

arxiv: 1105.4526 · arxiv_version: 1105.4526v3 · doi: 10.48550/arxiv.1105.4526 · pith_short_12: CCN6XEP35PJF · pith_short_16: CCN6XEP35PJFMNLQ · pith_short_8: CCN6XEP3

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/CCN6XEP35PJFMNLQSCIRCSMUBY \
  | 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: 109beb91fbebd256357090911149940e14c94f6c737a9affdcfd3d0b98b107b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42615a5a6dcce828c89bc30fcbb331de6fd58b98eccaafc5150c7070b49e909f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-05-23T15:02:51Z",
    "title_canon_sha256": "2c1b4e9138ea77acadb3a9ebc7b9e9f27bf81534f36a071c35a9843b418e29f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4526",
    "kind": "arxiv",
    "version": 3
  }
}