Pith Number

pith:TNKNGHSL

pith:2026:TNKNGHSL42TN72LUOTDUUTAIF2

not attested not anchored not stored refs pending

Low-Dimensional Reduction Theory for Populations of Globally Coupled Phase Oscillators with Multiharmonic Coupling: A Method Based on OPUC Theory

Kai Tokunaga

Orthogonal polynomials on the unit circle enable low-dimensional reduction for globally coupled phase oscillators with multiharmonic couplings.

arxiv:2604.14611 v2 · 2026-04-16 · nlin.AO

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\usepackage{pith}
\pithnumber{TNKNGHSL42TN72LUOTDUUTAIF2}

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3 Author claim open · sign in to claim

4 Citations open

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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.

Claims

C1strongest claim

by employing the theory of orthogonal polynomials on the unit circle (OPUC), we construct a framework that enables low-dimensional reduction for populations of globally coupled phase oscillators with multiharmonic coupling.

C2weakest assumption

That the OPUC theory applies directly and yields a valid low-dimensional reduction for arbitrary multiharmonic coupling functions without requiring additional restrictions on the oscillator frequencies or coupling strengths.

C3one line summary

A low-dimensional reduction framework for multiharmonic globally coupled phase oscillators is constructed using OPUC theory.

Receipt and verification

First computed	2026-06-02T01:03:47.059205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b54d31e4be6a6dfe97474c74a4c082ebf89e8d270b500bd51dd9edfec88b04f

Aliases

arxiv: 2604.14611 · arxiv_version: 2604.14611v2 · doi: 10.48550/arxiv.2604.14611 · pith_short_12: TNKNGHSL42TN · pith_short_16: TNKNGHSL42TN72LU · pith_short_8: TNKNGHSL

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TNKNGHSL42TN72LUOTDUUTAIF2 \
  | 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: 9b54d31e4be6a6dfe97474c74a4c082ebf89e8d270b500bd51dd9edfec88b04f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed11921bbb2a592204ebe8d1cc9293be0b35b86dab896e9f1a4e8932aa5118cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2026-04-16T04:36:04Z",
    "title_canon_sha256": "6d9ed77ac4337827a2485e2b96a76a9059bc47d5073e99fc3d358edf298c7b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.14611",
    "kind": "arxiv",
    "version": 2
  }
}