Pith Number

pith:TRMQSO43

pith:2005:TRMQSO43KPG6IUZYNQAAF7H4JY

not attested not anchored not stored refs pending

An introduction to joinings in ergodic theory

Thierry de la Rue (LMRS)

arxiv:math/0507429 v2 · 2005-07-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRMQSO43KPG6IUZYNQAAF7H4JY}

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.

Cited by

1 paper in Pith

Graph Disjointness with Applications to Reversible Markov Chains

Receipt and verification

First computed	2026-07-04T14:50:35.920048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c59093b9b53cde453386c0002fcfc4e2b5881fae5e46e5194deaebb746f2b56

Aliases

arxiv: math/0507429 · arxiv_version: math/0507429v2 · doi: 10.48550/arxiv.math/0507429 · pith_short_12: TRMQSO43KPG6 · pith_short_16: TRMQSO43KPG6IUZY · pith_short_8: TRMQSO43

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/TRMQSO43KPG6IUZYNQAAF7H4JY \
  | 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: 9c59093b9b53cde453386c0002fcfc4e2b5881fae5e46e5194deaebb746f2b56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d33a1320d180581c1ea3417086646c33fc9b14ba1cfed4aad3e0538917309391",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-07-21T08:52:44Z",
    "title_canon_sha256": "d844743fbfd064118b8006b4346b095f35c53a823267aa77821a4ad6f024a3bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507429",
    "kind": "arxiv",
    "version": 2
  }
}