Pith Number

pith:FZ6UH6OD

pith:2003:FZ6UH6OD2NIZ6FTCDHM3MBTFQR

not attested not anchored not stored refs pending

Mixing and decay of correlations in non-uniformly expanding maps: a survey of recent results

Stefano Luzzatto

arxiv:math/0301319 v2 · 2003-01-27 · math.DS · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZ6UH6OD2NIZ6FTCDHM3MBTFQR}

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	2026-07-04T14:36:55.423584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7d43f9c3d3519f166219d9b60665845aaaefb50c522727fee9a5a2f6d5130e

Aliases

arxiv: math/0301319 · arxiv_version: math/0301319v2 · doi: 10.48550/arxiv.math/0301319 · pith_short_12: FZ6UH6OD2NIZ · pith_short_16: FZ6UH6OD2NIZ6FTC · pith_short_8: FZ6UH6OD

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/FZ6UH6OD2NIZ6FTCDHM3MBTFQR \
  | 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: 2e7d43f9c3d3519f166219d9b60665845aaaefb50c522727fee9a5a2f6d5130e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f63c49f3d3d49d5b526fbfe2bf5c5cbcc730369c8c218490cc41d3e1933ef3d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-01-27T21:57:02Z",
    "title_canon_sha256": "c1ee5b9d98af820a949d7317766eb9cecdd0d310b923c6bfcba5b832e5799459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301319",
    "kind": "arxiv",
    "version": 2
  }
}