Pith Number

pith:MIK4Z246

pith:2010:MIK4Z246U5GH5EEXRZUPHMWYXT

not attested not anchored not stored refs pending

Identifying complex periodic windows in continuous-time dynamical systems using recurrence-based methods

Jonathan F. Donges, J\"urgen Kurths, Norbert Marwan, Reik V. Donner, Yong Zou

arxiv:1011.5172 v1 · 2010-11-23 · 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{MIK4Z246U5GH5EEXRZUPHMWYXT}

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	2026-05-18T04:27:35.553689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6215cceb9ea74c7e90978e68f3b2d8bce831d9027a5b3fcc2c2a6f867dab2d65

Aliases

arxiv: 1011.5172 · arxiv_version: 1011.5172v1 · doi: 10.48550/arxiv.1011.5172 · pith_short_12: MIK4Z246U5GH · pith_short_16: MIK4Z246U5GH5EEX · pith_short_8: MIK4Z246

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/MIK4Z246U5GH5EEXRZUPHMWYXT \
  | 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: 6215cceb9ea74c7e90978e68f3b2d8bce831d9027a5b3fcc2c2a6f867dab2d65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a31503473c28b2a0fce63e0d659e374408d862c00e35750a03cee212a67ae76",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-11-23T17:31:50Z",
    "title_canon_sha256": "c3a5c7c347859436cf5d995cfaeb4cc8a2f80eae9be7435254b7c23aa0f2a241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5172",
    "kind": "arxiv",
    "version": 1
  }
}