Pith Number

pith:4UJR3RYK

pith:2005:4UJR3RYKO5G3TPJUXJTR5TDRO3

not attested not anchored not stored refs pending

On the stability of the Kuramoto model of coupled nonlinear oscillators

Ali Jadbabaie, Mauricio Barahona, Nader Motee

arxiv:math/0504419 v1 · 2005-04-20 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UJR3RYKO5G3TPJUXJTR5TDRO3}

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	2026-07-04T14:39:54.888722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5131dc70a774db9bd34ba671ecc7176f649716722f0872e21d8c6734c90973a

Aliases

arxiv: math/0504419 · arxiv_version: math/0504419v1 · doi: 10.48550/arxiv.math/0504419 · pith_short_12: 4UJR3RYKO5G3 · pith_short_16: 4UJR3RYKO5G3TPJU · pith_short_8: 4UJR3RYK

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/4UJR3RYKO5G3TPJUXJTR5TDRO3 \
  | 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: e5131dc70a774db9bd34ba671ecc7176f649716722f0872e21d8c6734c90973a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4841869ed5ac4990112520226d7c7f88343b082753850b3d8e2149c19fb1ce95",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2005-04-20T18:59:10Z",
    "title_canon_sha256": "342ab42664c847ed0cd2b233638065690d5e62fc10288620605bbb2c04ac4a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504419",
    "kind": "arxiv",
    "version": 1
  }
}