Pith Number

pith:4MGCIWPE

pith:2014:4MGCIWPEPFVZCIRV5YYZ3MPBAE

not attested not anchored not stored refs pending

Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations

G.A. Leonov, N.V. Kuznetsov, T.A. Alexeeva

arxiv:1410.2016 v3 · 2014-10-08 · nlin.CD · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MGCIWPEPFVZCIRV5YYZ3MPBAE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:19:38.957051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30c2459e4796b912235ee319db1e1013d5a87646852deb79d3e1050b683aa4d

Aliases

arxiv: 1410.2016 · arxiv_version: 1410.2016v3 · doi: 10.48550/arxiv.1410.2016 · pith_short_12: 4MGCIWPEPFVZ · pith_short_16: 4MGCIWPEPFVZCIRV · pith_short_8: 4MGCIWPE

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/4MGCIWPEPFVZCIRV5YYZ3MPBAE \
  | 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: e30c2459e4796b912235ee319db1e1013d5a87646852deb79d3e1050b683aa4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b76df6119be5c7e79d490539e6cb2fb2abf15338141a7991a1d624f206d0b1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2014-10-08T08:28:11Z",
    "title_canon_sha256": "06ff4c69ed12c7d59c4e96772d9304f0ab7697a26f882c1450615cf2e44ceb2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2016",
    "kind": "arxiv",
    "version": 3
  }
}