Pith Number

pith:X56DDEHY

pith:2026:X56DDEHYO6AQ7USQ2CXXVLXOUM

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Gauge symmetry and uniqueness in inverse problems for the JMGT equation

Dong Qiu, Ting Zhou, Xiang Xu, Yeqiong Ye

The nonlinear acoustic coefficient β in the JMGT equation is uniquely determined by the all-boundary measurement map on a simple Riemannian manifold.

arxiv:2604.28023 v2 · 2026-04-30 · math.AP

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\pithnumber{X56DDEHYO6AQ7USQ2CXXVLXOUM}

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Record completeness

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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 main result shows that the nonlinear acoustic coefficient β is uniquely determined by this measurement map, and the linear damping coefficients α and q, along with the internal source term F, can be recovered up to a gauge symmetry.

C2weakest assumption

The construction of geometric optics solutions works for the linearized MGT equation on the simple Riemannian manifold, and the first- and second-order linearization procedure fully captures the nonlinear effects without hidden dependencies.

C3one line summary

The nonlinear coefficient β in the JMGT equation is uniquely determined from boundary measurements, while α, q, and F are recovered up to gauge symmetry.

Receipt and verification

First computed	2026-05-28T01:04:41.128089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf7c3190f877810fd250d0af7aaeeea304ed4186cd96466ab42a141c6e9c7209

Aliases

arxiv: 2604.28023 · arxiv_version: 2604.28023v2 · doi: 10.48550/arxiv.2604.28023 · pith_short_12: X56DDEHYO6AQ · pith_short_16: X56DDEHYO6AQ7USQ · pith_short_8: X56DDEHY

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X56DDEHYO6AQ7USQ2CXXVLXOUM \
  | 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: bf7c3190f877810fd250d0af7aaeeea304ed4186cd96466ab42a141c6e9c7209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8663f0393fd1eb770ded526e555d54ec8b29a3e1ae53bf27e3208d04a4afc16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-04-30T15:42:01Z",
    "title_canon_sha256": "5cfb5b0a3de8e494cffec87ba0fd9f2d122a38fe1aeca774998011bd767d98b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.28023",
    "kind": "arxiv",
    "version": 2
  }
}