Pith Number

pith:5GLXUD5P

pith:2012:5GLXUD5P27ULE4BLYRVKTFNNBO

not attested not anchored not stored refs pending

Synchronization in Complex Oscillator Networks and Smart Grids

Florian D\"orfler, Francesco Bullo, Michael Chertkov

arxiv:1208.0045 v1 · 2012-07-31 · math.OC · 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{5GLXUD5P27ULE4BLYRVKTFNNBO}

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	2026-05-18T01:56:00.391666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9977a0fafd7e8b2702bc46aa995ad0ba4de71ea5abc0063072d18e67700e8c6

Aliases

arxiv: 1208.0045 · arxiv_version: 1208.0045v1 · doi: 10.48550/arxiv.1208.0045 · pith_short_12: 5GLXUD5P27UL · pith_short_16: 5GLXUD5P27ULE4BL · pith_short_8: 5GLXUD5P

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/5GLXUD5P27ULE4BLYRVKTFNNBO \
  | 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: e9977a0fafd7e8b2702bc46aa995ad0ba4de71ea5abc0063072d18e67700e8c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf60129e5ddecfeda75575cdda1d903943899b9298dad7fba1cd71bc6052fbd5",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-07-31T22:33:46Z",
    "title_canon_sha256": "f3b32669f5f5d5f97910e69a522ca94b6129e9140d2ea94ec66a06d737e7fb46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0045",
    "kind": "arxiv",
    "version": 1
  }
}