Pith Number

pith:3CD7KUBC

pith:2012:3CD7KUBCXUS4E6FAMTXCM3R26O

not attested not anchored not stored refs pending

Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors

Maria Jose Pacifico, Stefano Galatolo, Vitor Araujo

arxiv:1204.0703 v4 · 2012-04-03 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CD7KUBCXUS4E6FAMTXCM3R26O}

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	2026-05-18T02:35:52.770989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d887f55022bd25c278a064ee266e3af39b2b86b1498cf65c99bdbf201f05f985

Aliases

arxiv: 1204.0703 · arxiv_version: 1204.0703v4 · doi: 10.48550/arxiv.1204.0703 · pith_short_12: 3CD7KUBCXUS4 · pith_short_16: 3CD7KUBCXUS4E6FA · pith_short_8: 3CD7KUBC

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/3CD7KUBCXUS4E6FAMTXCM3R26O \
  | 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: d887f55022bd25c278a064ee266e3af39b2b86b1498cf65c99bdbf201f05f985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997e22d98d8c69c51d506b482f0395c49d8d318d19efeb1bdc6c8604b9db581b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-03T14:50:35Z",
    "title_canon_sha256": "d6b1bec6b963066452c0e6b8152a4e0d2b712c4636b7f7dd28c6c0580e62b600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0703",
    "kind": "arxiv",
    "version": 4
  }
}