Pith Number

pith:X4MIY6MQ

pith:2011:X4MIY6MQ44IN44N2SR42XRTN5M

not attested not anchored not stored refs pending

Cluster Synchrony in Systems of Coupled Phase Oscillators with Higher-Order Coupling

Edward Ott, Juan G. Restrepo, Per Sebastian Skardal

arxiv:1107.1511 v3 · 2011-07-07 · nlin.CD · math.DS · nlin.AO · nlin.PS · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4MIY6MQ44IN44N2SR42XRTN5M}

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	2026-05-18T04:10:56.587590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf188c7990e710de71ba9479abc66deb369944f8beca79ac871c9e010a6b7afc

Aliases

arxiv: 1107.1511 · arxiv_version: 1107.1511v3 · doi: 10.48550/arxiv.1107.1511 · pith_short_12: X4MIY6MQ44IN · pith_short_16: X4MIY6MQ44IN44N2 · pith_short_8: X4MIY6MQ

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/X4MIY6MQ44IN44N2SR42XRTN5M \
  | 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: bf188c7990e710de71ba9479abc66deb369944f8beca79ac871c9e010a6b7afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f012836626043328834bdafef0c1ceafe2ab29d56d91ba513835234e1eae2e7",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.AO",
      "nlin.PS",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-07-07T20:19:55Z",
    "title_canon_sha256": "cf84ffb86d02ca9acc6b3e1141645982aca9f085db70301e97046afcc3266780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1511",
    "kind": "arxiv",
    "version": 3
  }
}