Pith Number

pith:LE4VRBOX

pith:2010:LE4VRBOXQHSTJT3RERURJT7AVJ

not attested not anchored not stored refs pending

Lyapunov exponents in complex dynamics and potential theory

Y\^usuke Okuyama

arxiv:1008.1445 v2 · 2010-08-09 · math.CV · 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{LE4VRBOXQHSTJT3RERURJT7AVJ}

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	2026-05-18T04:07:40.684095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59395885d781e534cf71246914cfe0aa5806c1358c67362cd8e88e2d181cf3b7

Aliases

arxiv: 1008.1445 · arxiv_version: 1008.1445v2 · doi: 10.48550/arxiv.1008.1445 · pith_short_12: LE4VRBOXQHST · pith_short_16: LE4VRBOXQHSTJT3R · pith_short_8: LE4VRBOX

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/LE4VRBOXQHSTJT3RERURJT7AVJ \
  | 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: 59395885d781e534cf71246914cfe0aa5806c1358c67362cd8e88e2d181cf3b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387571c62d722c1b71672eaf63952870acf8260105bb438a1bce7ccef444cf6b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-08-09T03:07:00Z",
    "title_canon_sha256": "ced4e65556be897d479aa7c8ffef5767e42d4e92e345b56db3016e5cc7320205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1445",
    "kind": "arxiv",
    "version": 2
  }
}