Pith Number

pith:PVVK7HO2

pith:2009:PVVK7HO2RYEMS7KTJA5SNTAFSZ

not attested not anchored not stored refs pending

Synchronization and Transient Stability in Power Networks and Non-Uniform Kuramoto Oscillators

Florian Dorfler, Francesco Bullo

arxiv:0910.5673 v4 · 2009-10-29 · math.OC · cs.SY · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVVK7HO2RYEMS7KTJA5SNTAFSZ}

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	2026-05-18T04:19:22.391642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d6aaf9dda8e08c97d53483b26cc0596444e92e032ea2e5c53761b8ebdd63fbf

Aliases

arxiv: 0910.5673 · arxiv_version: 0910.5673v4 · doi: 10.48550/arxiv.0910.5673 · pith_short_12: PVVK7HO2RYEM · pith_short_16: PVVK7HO2RYEMS7KT · pith_short_8: PVVK7HO2

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/PVVK7HO2RYEMS7KTJA5SNTAFSZ \
  | 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: 7d6aaf9dda8e08c97d53483b26cc0596444e92e032ea2e5c53761b8ebdd63fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db67bed5a11f34433884dcd53f0a2458c39a458bc47dcbf83a847f30f54a7867",
    "cross_cats_sorted": [
      "cs.SY",
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-10-29T16:32:56Z",
    "title_canon_sha256": "60709fac081c21d098eb780e513a529c2217120b664fa53f8b8111f94f0ccff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5673",
    "kind": "arxiv",
    "version": 4
  }
}