Pith Number

pith:TJIO3HOL

pith:2026:TJIO3HOLYNSH2FNRC352ZDVUUD

not attested not anchored not stored refs pending

Real-space imaging reveals symmetry-selected nonlinear energy routing in a mechanical resonator

Hua Li, Kazuhiko Hirakawa, Qian Liu, Shumpei Takenaka, Xueyong Wei, Ya Zhang, Yuko Terasawa, Yutao Xu

Nonlinear energy routing in mechanical resonators is selected by spatial symmetry rather than frequency proximity.

arxiv:2605.01469 v2 · 2026-05-02 · physics.optics · physics.app-ph

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\usepackage{pith}
\pithnumber{TJIO3HOLYNSH2FNRC352ZDVUUD}

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Record completeness

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4 Citations open

5 Replications 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

Our measurements reveal that nonlinear energy exchange is not governed by frequency proximity alone. ... spatial parity as the fundamental admissibility condition for nonlinear coherent energy exchange.

C2weakest assumption

The reduced two-mode model with geometric nonlinearity fully captures the observed dynamics, and the stroboscopic interferometry accurately reconstructs individual harmonic mode shapes without significant artifacts or cross-talk.

C3one line summary

Real-space imaging demonstrates that spatial symmetry, not frequency proximity, governs nonlinear energy exchange between modes in a mechanical resonator.

Receipt and verification

First computed	2026-06-10T01:11:00.967395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a50ed9dcbc3647d15b116fbac8eb4a0d7b1b52b88faf04d8318fbfe05e44347

Aliases

arxiv: 2605.01469 · arxiv_version: 2605.01469v2 · doi: 10.48550/arxiv.2605.01469 · pith_short_12: TJIO3HOLYNSH · pith_short_16: TJIO3HOLYNSH2FNR · pith_short_8: TJIO3HOL

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TJIO3HOLYNSH2FNRC352ZDVUUD \
  | 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: 9a50ed9dcbc3647d15b116fbac8eb4a0d7b1b52b88faf04d8318fbfe05e44347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03705a185bb3cd285df8acd43437268e7de5f65a06737ea70699dd852d5ad2a7",
    "cross_cats_sorted": [
      "physics.app-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-05-02T14:38:32Z",
    "title_canon_sha256": "a670942e91a9f321d4a99cbf3b208a1c345b5e16d2b1952fd0d64a119e7bf139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.01469",
    "kind": "arxiv",
    "version": 2
  }
}