Pith Number

pith:AEXBWIRP

pith:2018:AEXBWIRPDS5Y75JWM5O2ASITPX

not attested not anchored not stored refs pending

Lyapunov exponents of probability distributions with non-compact support

Adriana S\'anchez, Marcelo Viana

arxiv:1810.03061 v2 · 2018-10-06 · 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{AEXBWIRPDS5Y75JWM5O2ASITPX}

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

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles

Receipt and verification

First computed	2026-07-05T01:41:46.729910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

012e1b222f1cbb8ff536675da049137dc761d456c50db5351398ca9393140651

Aliases

arxiv: 1810.03061 · arxiv_version: 1810.03061v2 · doi: 10.48550/arxiv.1810.03061 · pith_short_12: AEXBWIRPDS5Y · pith_short_16: AEXBWIRPDS5Y75JW · pith_short_8: AEXBWIRP

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/AEXBWIRPDS5Y75JWM5O2ASITPX \
  | 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: 012e1b222f1cbb8ff536675da049137dc761d456c50db5351398ca9393140651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f79a9b6ac1ac2ae747d0265d22aabcbe9fd80458013f7130da61d1bf619e795f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-10-06T23:21:51Z",
    "title_canon_sha256": "9378a40efda189c0b4fa2df9b70bf589e6ad3e924f1361d3c4aad9fdb9b49891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03061",
    "kind": "arxiv",
    "version": 2
  }
}