Pith Number

pith:AQJSN7NH

pith:2013:AQJSN7NHRW222P7YFPSXI643ZH

not attested not anchored not stored refs pending

Ergodic theory for quantum semigroups

Ami Viselter, Volker Runde

arxiv:1307.2523 v2 · 2013-07-09 · math.OA · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQJSN7NHRW222P7YFPSXI643ZH}

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	2026-05-18T02:50:42.971460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041326fda78db5ad3ff82be5747b9bc9ff90bbe690ed61e8b40fd29e7787088d

Aliases

arxiv: 1307.2523 · arxiv_version: 1307.2523v2 · doi: 10.48550/arxiv.1307.2523 · pith_short_12: AQJSN7NHRW22 · pith_short_16: AQJSN7NHRW222P7Y · pith_short_8: AQJSN7NH

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/AQJSN7NHRW222P7YFPSXI643ZH \
  | 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: 041326fda78db5ad3ff82be5747b9bc9ff90bbe690ed61e8b40fd29e7787088d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e3fc87d28c2e3aa3831ef75bc3f0da7b35600aa5fe5b49ae439e092afa77f1",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-07-09T17:30:34Z",
    "title_canon_sha256": "79fe07dc58026b4cc427254ae7bd3256b29e9c612aa3d43fa3f06c7afedf9c87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2523",
    "kind": "arxiv",
    "version": 2
  }
}