Pith Number

pith:BUDI3Y7D

pith:2010:BUDI3Y7DZQJLMLXCGJPDABUYX2

not attested not anchored not stored refs pending

Amplitude equations and fast transition to chaos in rings of coupled oscillators

A. Stefanski, M. Wolfrum, P. Perlikowski, S. Yanchuk, T. Kapitaniak

arxiv:1011.4786 v2 · 2010-11-22 · math.DS · math-ph · math.MP · nlin.CD · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUDI3Y7DZQJLMLXCGJPDABUYX2}

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	2026-05-18T03:54:37.800934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d068de3e3cc12b62ee2325e300698bea3724babc3fd61fcafec46b9e13b7ca5

Aliases

arxiv: 1011.4786 · arxiv_version: 1011.4786v2 · doi: 10.48550/arxiv.1011.4786 · pith_short_12: BUDI3Y7DZQJL · pith_short_16: BUDI3Y7DZQJLMLXC · pith_short_8: BUDI3Y7D

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/BUDI3Y7DZQJLMLXCGJPDABUYX2 \
  | 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: 0d068de3e3cc12b62ee2325e300698bea3724babc3fd61fcafec46b9e13b7ca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77ff5c71d8cff07443d90375b9088ce9003792c7c2e41233f890eff3a007a2eb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.CD",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-22T12:17:22Z",
    "title_canon_sha256": "a720a8ea06f27fd85fb13a1bce3fcddbcdb94cbc3bceebd3c287654bce36fc5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4786",
    "kind": "arxiv",
    "version": 2
  }
}