Pith Number

pith:XD56NDPW

pith:2025:XD56NDPW5Z7J5SEC4BIXHR6K3Z

not attested not anchored not stored refs pending

Optimal Control for Kuramoto Model: from Many-Particle Liouville Equation to Diffusive Mean-Field Problem

Li Chen, Valeriia Zhidkova, Yucheng Wang

arxiv:2504.09425 v2 · 2025-04-13 · math.AP · 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{XD56NDPW5Z7J5SEC4BIXHR6K3Z}

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.

Cited by

1 paper in Pith

Linearization-Based Feedback Stabilization of McKean-Vlasov PDEs

Receipt and verification

First computed	2026-07-05T10:50:48.746913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8fbe68df6ee7e9ec882e05173c7cade45e09b52cd3f65754a19243ee01ce64c

Aliases

arxiv: 2504.09425 · arxiv_version: 2504.09425v2 · doi: 10.48550/arxiv.2504.09425 · pith_short_12: XD56NDPW5Z7J · pith_short_16: XD56NDPW5Z7J5SEC · pith_short_8: XD56NDPW

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/XD56NDPW5Z7J5SEC4BIXHR6K3Z \
  | 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: b8fbe68df6ee7e9ec882e05173c7cade45e09b52cd3f65754a19243ee01ce64c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a43c9c6964ef289d75c81ed82aa967b959fc4e08bcefd442860db254e31152",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-13T04:16:38Z",
    "title_canon_sha256": "ae358dd307664b0561e57d762a52be3800676c2835c812937e464664b76dba90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09425",
    "kind": "arxiv",
    "version": 2
  }
}