Pith Number

pith:W3SJYMRN

pith:2013:W3SJYMRNCDHK3Y3A53OJPSOT75

not attested not anchored not stored refs pending

Phase and Amplitude Dynamics in Large Systems of Coupled Oscillators: Growth Heterogeneity, Nonlinear Frequency Shifts and Cluster States

Edward Ott, Thomas M. Antonsen Jr, Wai Shing Lee

arxiv:1304.3974 v1 · 2013-04-15 · nlin.CD · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3SJYMRNCDHK3Y3A53OJPSOT75}

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	2026-05-18T03:28:03.645063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6e49c322d10ceade360eedc97c9d3ff748063a852170e84d92473374bc6558f

Aliases

arxiv: 1304.3974 · arxiv_version: 1304.3974v1 · doi: 10.48550/arxiv.1304.3974 · pith_short_12: W3SJYMRNCDHK · pith_short_16: W3SJYMRNCDHK3Y3A · pith_short_8: W3SJYMRN

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/W3SJYMRNCDHK3Y3A53OJPSOT75 \
  | 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: b6e49c322d10ceade360eedc97c9d3ff748063a852170e84d92473374bc6558f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac6a3c57775ae334efddb73d534349eb4754162eb10d920316ac82d753b347ca",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2013-04-15T03:19:27Z",
    "title_canon_sha256": "9f2d60e28c5926ca3046a378f6b243a2eadee0768b57c5bdf1cf173439e361ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3974",
    "kind": "arxiv",
    "version": 1
  }
}