Pith Number

pith:X7PZJ7UQ

pith:2011:X7PZJ7UQPZW5IQKIVGCSJAPIFD

not attested not anchored not stored refs pending

A notion of synchronization of symbolic dynamics and a class of $C^*$-algebras

Kengo Matsumoto, Wolfgang Krieger

arxiv:1105.4393 v1 · 2011-05-23 · math.DS · 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{X7PZJ7UQPZW5IQKIVGCSJAPIFD}

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	2026-05-18T04:21:29.321509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfdf94fe907e6dd44148a9852481e828cec923479eae571f22f2b6c7f3a33e30

Aliases

arxiv: 1105.4393 · arxiv_version: 1105.4393v1 · doi: 10.48550/arxiv.1105.4393 · pith_short_12: X7PZJ7UQPZW5 · pith_short_16: X7PZJ7UQPZW5IQKI · pith_short_8: X7PZJ7UQ

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/X7PZJ7UQPZW5IQKIVGCSJAPIFD \
  | 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: bfdf94fe907e6dd44148a9852481e828cec923479eae571f22f2b6c7f3a33e30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a76978579f79a4f9ab6b70cc2407c0dabee30467b827e19e31e483c04fcf519",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-23T03:04:50Z",
    "title_canon_sha256": "d8eec3ae3b4f63ca10e0e8683c62fecd5817349e871daeccd22c518b49c6ee39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4393",
    "kind": "arxiv",
    "version": 1
  }
}