Pith Number

pith:PJ4J5D4A

pith:2018:PJ4J5D4AVUEADYVYQ2ZHD74SNC

not attested not anchored not stored refs pending

From Integrable to Chaotic Systems: Universal Local Statistics of Lyapunov exponents

Gernot Akemann, Mario Kieburg, Zdzislaw Burda

arxiv:1809.05905 v4 · 2018-09-16 · math-ph · cond-mat.dis-nn · cond-mat.stat-mech · math.MP · math.PR · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJ4J5D4AVUEADYVYQ2ZHD74SNC}

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	2026-05-17T23:42:53.749964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a789e8f80ad0801e2b886b271ff926880f286c12c44fb871fbb59f8d376ea0c

Aliases

arxiv: 1809.05905 · arxiv_version: 1809.05905v4 · doi: 10.48550/arxiv.1809.05905 · pith_short_12: PJ4J5D4AVUEA · pith_short_16: PJ4J5D4AVUEADYVY · pith_short_8: PJ4J5D4A

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/PJ4J5D4AVUEADYVYQ2ZHD74SNC \
  | 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: 7a789e8f80ad0801e2b886b271ff926880f286c12c44fb871fbb59f8d376ea0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c292c609613961c4384365012b7c8f1c58062f221d9c7b0d17f2be6a1b2b18",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-09-16T16:14:29Z",
    "title_canon_sha256": "3a76b16363173fc8440f00f7ea552ec23123b9cbbe2fb89774fa461e2cc71109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05905",
    "kind": "arxiv",
    "version": 4
  }
}