Pith Number

pith:YWIQO2IW

pith:2007:YWIQO2IW6HXTS5TJJULTA32IEF

not attested not anchored not stored refs pending

Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral Automorphisms

Arvind Ayyer, Mikko Stenlund

arxiv:0704.1495 v1 · 2007-04-11 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWIQO2IW6HXTS5TJJULTA32IEF}

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	2026-05-18T04:10:57.571119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c591076916f1ef3976694d17306f48215997a336fd8273f67c9d3779eb733a3c

Aliases

arxiv: 0704.1495 · arxiv_version: 0704.1495v1 · doi: 10.48550/arxiv.0704.1495 · pith_short_12: YWIQO2IW6HXT · pith_short_16: YWIQO2IW6HXTS5TJ · pith_short_8: YWIQO2IW

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/YWIQO2IW6HXTS5TJJULTA32IEF \
  | 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: c591076916f1ef3976694d17306f48215997a336fd8273f67c9d3779eb733a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb4f8e6b65af8233e4cb5170c520deaf04d917cc493cc5cbd1e50b5b073570b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-04-11T21:54:42Z",
    "title_canon_sha256": "4e5b9110a40623a00ac6c3b4c1b0325e70f8a6af9d0e0cee3e623f061d04bd7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1495",
    "kind": "arxiv",
    "version": 1
  }
}