Pith Number

pith:FIL5TZDW

pith:2026:FIL5TZDWOJO7DWSDNLPFTHFXP7

not attested not anchored not stored refs resolved

Adaptive homotopy continuation for robust dispersion curve computation in viscoelastic waveguides: guaranteed branch identity continuity

Dong Xiao, M. H. Aliabadi, Zahra Sharif Khodaei

Method ensures one-to-one branch match in viscoelastic dispersion curves

arxiv:2605.15089 v1 · 2026-05-14 · math.NA · cs.NA · physics.comp-ph

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Record completeness

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Claims

C1strongest claim

The method guarantees branch identity continuity--a one-to-one correspondence between solutions at s=0 and s=1--provided the real-parameter path does not cross any exceptional points, yielding the characteristic real-part veering with imaginary-part crossing without post-processing.

C2weakest assumption

The real-parameter path does not cross any exceptional points (or follows Type I exceptional point topology), so that physical mode labels established at the elastic stage remain valid at the viscoelastic stage.

C3one line summary

A material homotopy continuation framework computes dispersion curves in viscoelastic waveguides by continuously mapping to an elastic problem while guaranteeing branch identity continuity under non-crossing exceptional points.

References

58 extracted · 58 resolved · 0 Pith anchors

[1] Rose.Ultrasonic Guided Waves in Solid Media 2014

[2] Victor Giurgiutiu.Structural Health Monitoring with Piezoelectric Wafer Active Sensors. Elsevier, June 2014 2014

[3] Bertram A. Auld. Acoustic fields and waves in solids. Krieger, Malabar, Fla, 2. ed edition, 1990 1990

[4] V. V. Meleshko, A. A. Bondarenko, S. A. Dovgiy, A. N. Trofimchuk, and G. J. F. van Heijst. Elastic waveguides: History and the state of the art. I.Journal of Mathematical Sciences, 162(1):99–120, Octo 2009

[5] Ahid D. Nashif, David I. G. Jones, and John P. Henderson.Vibration damping. Wiley, New York, 1985 1985

Formal links

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Receipt and verification

First computed	2026-05-17T21:40:25.932344Z
Last reissued	2026-05-17T21:57:19.248653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

2a17d9e476725df1da436ade599cb77ff93814a49f9eeb455aac6cea9de5f3c4

Aliases

arxiv: 2605.15089 · arxiv_version: 2605.15089v1 · pith_short_12: FIL5TZDWOJO7 · pith_short_16: FIL5TZDWOJO7DWSD · pith_short_8: FIL5TZDW

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FIL5TZDWOJO7DWSDNLPFTHFXP7 \
  | 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: 2a17d9e476725df1da436ade599cb77ff93814a49f9eeb455aac6cea9de5f3c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f6b367c1a30d7778905ae2b78ed292d3d9a295a4f564ed78ff5d952ca1da54",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-14T17:10:12Z",
    "title_canon_sha256": "8cf6845f398bad702be474fe0bc1894793711a336dda57040a7675047894977a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15089",
    "kind": "arxiv",
    "version": 1
  }
}