Pith Number

pith:NAUMZDIU

pith:2010:NAUMZDIUNKNEM65SNANDMNHFJB

not attested not anchored not stored refs pending

Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles

Arkady Pikovsky, Michael Rosenblum, Sergey P. Kuznetsov

arxiv:1012.0652 v1 · 2010-12-03 · 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{NAUMZDIUNKNEM65SNANDMNHFJB}

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	2026-05-18T02:04:35.567089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6828cc8d146a9a467bb2681a3634e54867475b4e6ba43ffcd3b51028c9468bed

Aliases

arxiv: 1012.0652 · arxiv_version: 1012.0652v1 · doi: 10.48550/arxiv.1012.0652 · pith_short_12: NAUMZDIUNKNE · pith_short_16: NAUMZDIUNKNEM65S · pith_short_8: NAUMZDIU

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/NAUMZDIUNKNEM65SNANDMNHFJB \
  | 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: 6828cc8d146a9a467bb2681a3634e54867475b4e6ba43ffcd3b51028c9468bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "823b451b4324653dc65b3947c873609bd4ecef35bae437e376855e7f47868010",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-12-03T07:28:26Z",
    "title_canon_sha256": "1fbbc9d52a97cf7b8c9dbac5e0ee71104c3641a2b735b516fc51e952719f72c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0652",
    "kind": "arxiv",
    "version": 1
  }
}