Pith Number

pith:XMKLC5ZJ

pith:2010:XMKLC5ZJEGSFLRMSLTDSZJXICB

not attested not anchored not stored refs pending

On the Critical Coupling for Kuramoto Oscillators

Florian Dorfler, Francesco Bullo

arxiv:1011.3878 v2 · 2010-11-17 · math.DS · cs.SY · math-ph · math.MP · math.OC · 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{XMKLC5ZJEGSFLRMSLTDSZJXICB}

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	2026-05-18T04:22:49.871264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb14b1772921a455c5925cc72ca6e8105e3cf2056d7b339c85f52fee6d0e4ef1

Aliases

arxiv: 1011.3878 · arxiv_version: 1011.3878v2 · doi: 10.48550/arxiv.1011.3878 · pith_short_12: XMKLC5ZJEGSF · pith_short_16: XMKLC5ZJEGSFLRMS · pith_short_8: XMKLC5ZJ

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/XMKLC5ZJEGSFLRMSLTDSZJXICB \
  | 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: bb14b1772921a455c5925cc72ca6e8105e3cf2056d7b339c85f52fee6d0e4ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3da7f6fac521f39fb96c3306cedc32b838f32a824b9230943988942edbef77a",
    "cross_cats_sorted": [
      "cs.SY",
      "math-ph",
      "math.MP",
      "math.OC",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-17T03:42:57Z",
    "title_canon_sha256": "f29b181985bd243c5d72f64e5720daac302288cba717efdef1215446ab2333af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3878",
    "kind": "arxiv",
    "version": 2
  }
}