Pith Number

pith:EP5ETLJD

pith:2011:EP5ETLJDYXB6QCXZYZ77YZPIOA

not attested not anchored not stored refs pending

Entropy, Lyapunov Exponents and Escape Rates in Open Systems

College Park), Computer Science, Fairfield University), Lai-Sang Young (Courant Institute of Mathematical Sciences, Mark Demers (Department of Mathematics, New York University), Paul Wright (Department of Mathematics, University of Maryland

arxiv:1107.2609 v1 · 2011-07-13 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EP5ETLJDYXB6QCXZYZ77YZPIOA}

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	2026-05-18T04:18:22.786741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23fa49ad23c5c3e80af9c67ffc65e87008e472e65224219e34affaf1c72c7695

Aliases

arxiv: 1107.2609 · arxiv_version: 1107.2609v1 · doi: 10.48550/arxiv.1107.2609 · pith_short_12: EP5ETLJDYXB6 · pith_short_16: EP5ETLJDYXB6QCXZ · pith_short_8: EP5ETLJD

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/EP5ETLJDYXB6QCXZYZ77YZPIOA \
  | 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: 23fa49ad23c5c3e80af9c67ffc65e87008e472e65224219e34affaf1c72c7695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a9f2b5787f9549674e91d2979cd0671f8223e56f96a7e154939cd03d87e1a7a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-13T17:28:18Z",
    "title_canon_sha256": "3c3c07a07730060a429d8e0d8514f743eb19242d788e367904b2e0a82e0715ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2609",
    "kind": "arxiv",
    "version": 1
  }
}