pith. sign in
Pith Number

pith:AYP5T6PJ

pith:2015:AYP5T6PJKMXATSBFU4W6YWLG6D
not attested not anchored not stored refs pending

Control of coupled oscillator networks with application to microgrid technologies

Alex Arenas, Per Sebastian Skardal

arxiv:1501.00612 v3 · 2015-01-03 · nlin.AO · math-ph · math.DS · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AYP5T6PJKMXATSBFU4W6YWLG6D}

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 2026-05-18T01:34:57.305578Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

061fd9f9e9532e09c825a72dec5966f0e58ef599f6dac462bf055a650aafeb4f

Aliases

arxiv: 1501.00612 · arxiv_version: 1501.00612v3 · doi: 10.48550/arxiv.1501.00612 · pith_short_12: AYP5T6PJKMXA · pith_short_16: AYP5T6PJKMXATSBF · pith_short_8: AYP5T6PJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AYP5T6PJKMXATSBFU4W6YWLG6D \
  | 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: 061fd9f9e9532e09c825a72dec5966f0e58ef599f6dac462bf055a650aafeb4f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cb8a46763ba28d8c104996bf0301ec4f829e4efeefd65f90665560f529e4e680",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2015-01-03T23:37:33Z",
    "title_canon_sha256": "d3aa1b2631bf658283e20be7e524f485bb8e51ecd4503bb0c61785409a635f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00612",
    "kind": "arxiv",
    "version": 3
  }
}