Pith Number

pith:Q7HSPDEO

pith:2009:Q7HSPDEOQEGSEV7AW2LXXDKQNE

not attested not anchored not stored refs pending

Estimating generalised Lyapunov exponents for products of random matrices

J. Vanneste

arxiv:0911.2161 v3 · 2009-11-11 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7HSPDEOQEGSEV7AW2LXXDKQNE}

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	2026-05-18T04:05:57.937019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87cf278c8e810d2257e0b6977b8d5069024c821ac4086edd0eedd4bf46472b67

Aliases

arxiv: 0911.2161 · arxiv_version: 0911.2161v3 · doi: 10.48550/arxiv.0911.2161 · pith_short_12: Q7HSPDEOQEGS · pith_short_16: Q7HSPDEOQEGSEV7A · pith_short_8: Q7HSPDEO

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/Q7HSPDEOQEGSEV7AW2LXXDKQNE \
  | 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: 87cf278c8e810d2257e0b6977b8d5069024c821ac4086edd0eedd4bf46472b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "634f1ee83acfb7a119456fb8a6eaf07729e428b06545e141d994a1176e9c638e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2009-11-11T15:38:26Z",
    "title_canon_sha256": "70ad75bc27e4df9937fbb545648836b9acc0b23fdbeab29d672dc024b874c2a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2161",
    "kind": "arxiv",
    "version": 3
  }
}