Pith Number

pith:CXSEE3V7

pith:2026:CXSEE3V7KADUJJNPCY3ZQCTR5J

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Traveling surface wave propagation on shallow water with variable bathymetry and current

Semyon Churilov

The Laplace cascade method yields a general algorithm to locate parameters for reflectionless long surface waves in shallow channels with variable bathymetry and current.

arxiv:2605.01751 v2 · 2026-05-03 · physics.flu-dyn

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\usepackage{pith}
\pithnumber{CXSEE3V7KADUJJNPCY3ZQCTR5J}

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Record completeness

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3 Author claim open · sign in to claim

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

By application of the Laplace cascade method for integrating second-order hyperbolic equations, a general algorithm for finding the parameters of inhomogeneous reflectionless flows is proposed. The algorithm is applied to the problem of long linear surface waves propagation in a channel with variable cross-section.

C2weakest assumption

That the physical setup (variable bathymetry, current, shallow water) can be arranged so the wave equation admits reflectionless traveling-wave solutions that the Laplace cascade method can systematically locate, without significant nonlinear or three-dimensional effects.

C3one line summary

A general algorithm based on the Laplace cascade method identifies parameters of inhomogeneous reflectionless flows for long linear surface waves on shallow water with variable bathymetry.

Receipt and verification

First computed	2026-06-09T02:07:27.986041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e4426ebf500744a5af1637980a71ea69a87dee0f6fc78f1dc7f843c83aa262

Aliases

arxiv: 2605.01751 · arxiv_version: 2605.01751v2 · doi: 10.48550/arxiv.2605.01751 · pith_short_12: CXSEE3V7KADU · pith_short_16: CXSEE3V7KADUJJNP · pith_short_8: CXSEE3V7

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CXSEE3V7KADUJJNPCY3ZQCTR5J \
  | 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: 15e4426ebf500744a5af1637980a71ea69a87dee0f6fc78f1dc7f843c83aa262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "898a5f3f9194eb47fb81ded7bcfda9cd68298026955d2010137fcd4039b965f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-03T07:18:38Z",
    "title_canon_sha256": "628bab8c2173ef3959a1f9645a6d992a8fac4180a64f172235ff29070f71f5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.01751",
    "kind": "arxiv",
    "version": 2
  }
}