Pith Number

pith:S3PVIO65

pith:2010:S3PVIO65DY4ZIO44KPLQGGE766

not attested not anchored not stored refs pending

Dominated Splitting and Pesin's Entropy Formula

Wenxiang Sun, Xueting Tian

arxiv:1004.3441 v2 · 2010-04-20 · math.DS · math-ph · math.MP · math.ST · physics.data-an · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3PVIO65DY4ZIO44KPLQGGE766}

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	2026-05-18T04:10:09.194160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96df543bdd1e39943b9c53d703189ff7b36d37a51890ba02df50130a63a03f62

Aliases

arxiv: 1004.3441 · arxiv_version: 1004.3441v2 · doi: 10.48550/arxiv.1004.3441 · pith_short_12: S3PVIO65DY4Z · pith_short_16: S3PVIO65DY4ZIO44 · pith_short_8: S3PVIO65

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/S3PVIO65DY4ZIO44KPLQGGE766 \
  | 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: 96df543bdd1e39943b9c53d703189ff7b36d37a51890ba02df50130a63a03f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c51cc6a565f9c3cf2a83b6de471aac8ed7b6f40866704241f8e54d14054e4d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.ST",
      "physics.data-an",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-04-20T13:17:33Z",
    "title_canon_sha256": "12ae05b6057bbba2d871faef61378b80007f3d1fce447833bc60677610d4d73c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3441",
    "kind": "arxiv",
    "version": 2
  }
}