Pith Number

pith:L42SU2JT

pith:2012:L42SU2JT4UPLPQ5OBNBCRMA3LZ

not attested not anchored not stored refs pending

The C*-algebra of an affine map on the 3-torus

Kasper K. S. Andersen, Klaus Thomsen

arxiv:1204.0224 v1 · 2012-04-01 · 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{L42SU2JT4UPLPQ5OBNBCRMA3LZ}

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	2026-05-18T03:58:49.906051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f352a6933e51eb7c3ae0b4228b01b5e6334e5d93f8e103ac78d17c75c733eae

Aliases

arxiv: 1204.0224 · arxiv_version: 1204.0224v1 · doi: 10.48550/arxiv.1204.0224 · pith_short_12: L42SU2JT4UPL · pith_short_16: L42SU2JT4UPLPQ5O · pith_short_8: L42SU2JT

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/L42SU2JT4UPLPQ5OBNBCRMA3LZ \
  | 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: 5f352a6933e51eb7c3ae0b4228b01b5e6334e5d93f8e103ac78d17c75c733eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a650590e51f6659c51836d80a76152c720df9f7a155ef2ea75f649c01537a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-04-01T15:44:01Z",
    "title_canon_sha256": "d5de8c71837b2bac0c18d7b7772f8b6ae4c834654c69ce72b2041918bd70b5d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0224",
    "kind": "arxiv",
    "version": 1
  }
}