Pith Number

pith:D54U4G6U

pith:2012:D54U4G6U4JK2IZ4O6DELNLESNG

not attested not anchored not stored refs pending

On the relation between Lyapunov exponents and exponential decay of correlations

Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just

arxiv:1209.2640 v1 · 2012-09-12 · math.DS · 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{D54U4G6U4JK2IZ4O6DELNLESNG}

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	2026-05-18T01:54:29.876704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f794e1bd4e255a4678ef0c8b6ac9269898867f4914d4b5e0be9f4da2301e43a

Aliases

arxiv: 1209.2640 · arxiv_version: 1209.2640v1 · doi: 10.48550/arxiv.1209.2640 · pith_short_12: D54U4G6U4JK2 · pith_short_16: D54U4G6U4JK2IZ4O · pith_short_8: D54U4G6U

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/D54U4G6U4JK2IZ4O6DELNLESNG \
  | 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: 1f794e1bd4e255a4678ef0c8b6ac9269898867f4914d4b5e0be9f4da2301e43a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c53b5ae3642e00ea30a7056b1092bf887de6ea8bceb60790735926249af383",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-12T15:28:28Z",
    "title_canon_sha256": "f291ba68ec0d43f0c81954e2e29f24cab26c794850d024e66af8819518215ec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2640",
    "kind": "arxiv",
    "version": 1
  }
}