Pith Number

pith:M6KYPLR3

pith:2016:M6KYPLR3MVZPJHSFYQTNPP4ZBT

not attested not anchored not stored refs pending

Optimal bounds for decay of correlations and {\alpha}-mixing for nonuniformly hyperbolic dynamical systems

Hong-Kun Zhang, Sandro Vaienti

arxiv:1605.01793 v5 · 2016-05-05 · 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{M6KYPLR3MVZPJHSFYQTNPP4ZBT}

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	2026-05-17T23:42:09.131902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

679587ae3b6572f49e45c426d7bf990cebb633c2ab44f4a89a1a7ea6499e44be

Aliases

arxiv: 1605.01793 · arxiv_version: 1605.01793v5 · doi: 10.48550/arxiv.1605.01793 · pith_short_12: M6KYPLR3MVZP · pith_short_16: M6KYPLR3MVZPJHSF · pith_short_8: M6KYPLR3

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/M6KYPLR3MVZPJHSFYQTNPP4ZBT \
  | 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: 679587ae3b6572f49e45c426d7bf990cebb633c2ab44f4a89a1a7ea6499e44be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bbadca523c52f09db8e945d37f6be0f8df6cf07e7cf7563536e4c8e3ff7bb6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-05T23:59:50Z",
    "title_canon_sha256": "fad5c70ae2351138bd4006ceb28df385ccbf43ade2977866daea0953603cf900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01793",
    "kind": "arxiv",
    "version": 5
  }
}