Pith Number

pith:ZX3Z5PBY

pith:2012:ZX3Z5PBYVD3CV7TI7WKD44ES2L

not attested not anchored not stored refs pending

Exploring Synchronization in Complex Oscillator Networks

Florian D\"orfler, Francesco Bullo

arxiv:1209.1335 v1 · 2012-09-06 · 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{ZX3Z5PBYVD3CV7TI7WKD44ES2L}

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	2026-05-18T03:46:05.887867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdf79ebc38a8f62afe68fd943e7092d2c5b372f1e0612968277940efe8128b59

Aliases

arxiv: 1209.1335 · arxiv_version: 1209.1335v1 · doi: 10.48550/arxiv.1209.1335 · pith_short_12: ZX3Z5PBYVD3C · pith_short_16: ZX3Z5PBYVD3CV7TI · pith_short_8: ZX3Z5PBY

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/ZX3Z5PBYVD3CV7TI7WKD44ES2L \
  | 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: cdf79ebc38a8f62afe68fd943e7092d2c5b372f1e0612968277940efe8128b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12627dfd0bf8f6722505fbf2fa48fdf5611afd38a9989b3f5592b87b600b8473",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-09-06T16:36:52Z",
    "title_canon_sha256": "1b22d908b7c24abda6bbeb4f2a0ee0139ecfd007581ea15c576a881230a8a81a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1335",
    "kind": "arxiv",
    "version": 1
  }
}