Pith Number

pith:7ZTRYFVF

pith:2017:7ZTRYFVF4DO7IZSO5BLVFM7WFL

not attested not anchored not stored refs pending

Global phase and magnitude synchronization of coupled oscillators with application to the control of grid-forming power inverters

Dominic Gro{\ss}, Florian D\"orfler, Jean-S\'ebastien Brouillon, Marcello Colombino

arxiv:1710.00694 v3 · 2017-10-02 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZTRYFVF4DO7IZSO5BLVFM7WFL}

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	2026-05-17T23:59:43.935412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe671c16a5e0ddf4664ee85752b3f62aea359eadbc1cf764125e1caabdef197c

Aliases

arxiv: 1710.00694 · arxiv_version: 1710.00694v3 · doi: 10.48550/arxiv.1710.00694 · pith_short_12: 7ZTRYFVF4DO7 · pith_short_16: 7ZTRYFVF4DO7IZSO · pith_short_8: 7ZTRYFVF

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/7ZTRYFVF4DO7IZSO5BLVFM7WFL \
  | 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: fe671c16a5e0ddf4664ee85752b3f62aea359eadbc1cf764125e1caabdef197c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6725e32510c6f48a1648c10ae08d0462b03fdca18272758cbe8e05bd8e0b76a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-02T14:37:18Z",
    "title_canon_sha256": "d26e37ed8dc45e0caee161fa4175a05c70b00f0ebc288cc9934bb020bd40de7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00694",
    "kind": "arxiv",
    "version": 3
  }
}