Pith Number

pith:4CQUKDR2

pith:2025:4CQUKDR2GPTE6OWJAWZ44OQ2LI

not attested not anchored not stored refs pending

Emergence of higher-order interactions in systems of coupled Kuramoto oscillators with time delay

Bob Rink, Hiroya Nakao, Keisuke Taga, Narumi Fujii, Riccardo Muolo

arxiv:2512.16193 v2 · 2025-12-18 · nlin.AO · cond-mat.stat-mech · math-ph · math.DS · math.MP · nlin.PS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CQUKDR2GPTE6OWJAWZ44OQ2LI}

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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

Impact of Channel Dynamics on Higher-order Interactions of Oscillators

Receipt and verification

First computed	2026-06-24T01:14:24.075994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a1450e3a33e64f3ac905b3ce3a1a5a140c8daa29af0081cbf50d949bf7c657

Aliases

arxiv: 2512.16193 · arxiv_version: 2512.16193v2 · doi: 10.48550/arxiv.2512.16193 · pith_short_12: 4CQUKDR2GPTE · pith_short_16: 4CQUKDR2GPTE6OWJ · pith_short_8: 4CQUKDR2

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/4CQUKDR2GPTE6OWJAWZ44OQ2LI \
  | 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: e0a1450e3a33e64f3ac905b3ce3a1a5a140c8daa29af0081cbf50d949bf7c657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90291308d4bbc67de2935edbefae2d25c5f62e2632bd936db43706dddfabeafb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.DS",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2025-12-18T05:33:16Z",
    "title_canon_sha256": "0f8f3596356988ee686aa883b3f4c7f638db1494826a801b0c42d78890ee8d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.16193",
    "kind": "arxiv",
    "version": 2
  }
}