Pith Number

pith:XOI34LQU

pith:2016:XOI34LQU2IL2UULZN3R3QWHJZB

not attested not anchored not stored refs pending

Ergodic theory of Random Anosov systems mixing on fibers

Kening Lu, Wen Huang, Zeng Lian

arxiv:1612.08394 v2 · 2016-12-26 · 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{XOI34LQU2IL2UULZN3R3QWHJZB}

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.

Cited by

1 paper in Pith

Non uniform expansion and additive noise imply random horseshoe

Receipt and verification

First computed	2026-07-05T00:24:33.915270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb91be2e14d217aa51796ee3b858e9c8704f4f4d2565aaca6a035445ff37ca7f

Aliases

arxiv: 1612.08394 · arxiv_version: 1612.08394v2 · doi: 10.48550/arxiv.1612.08394 · pith_short_12: XOI34LQU2IL2 · pith_short_16: XOI34LQU2IL2UULZ · pith_short_8: XOI34LQU

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/XOI34LQU2IL2UULZN3R3QWHJZB \
  | 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: bb91be2e14d217aa51796ee3b858e9c8704f4f4d2565aaca6a035445ff37ca7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46f3e77a686ebed0c666c31ed588ad8682d87ea56ed90f173aa52f0d7fbf85d1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-26T14:43:52Z",
    "title_canon_sha256": "e7a46b3d1f593c0a7b9ed3d1641534b65c439338a045b8bd759dae2ad535b894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08394",
    "kind": "arxiv",
    "version": 2
  }
}