{
  "abstract": "Consider an acoustic medium, occupying three dimensional space, whose anisotropic sound speed is modeled by a Riemannian metric which is Euclidean outside a compact region $D$. The medium is probed by acoustic waves generated by a finite number (dimension dependent) of point sources outside $D$ and the medium response is measured on the boundary of $D$ for a finite time period. We show that if these measurements agree with that of an Euclidean metric then the metric is Euclidean up to a diffeomorphism. This result is similar to the result in \\cite{ORS26a} where they used plane waves instead of point sources. Using point sources instead of plane waves presents new difficulties, dealt with in this article.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21258",
  "author_total": 3,
  "authors": [
    {
      "name": "Pradipta Chatterjee"
    },
    {
      "name": "Rakesh"
    },
    {
      "name": "Abhilash Tushir"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3bc74vqa8c6fy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21258",
  "fulltext_url": null,
  "id": "3bc74vqa8c6fy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21258",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Numerical methods in inverse problems"
    ]
  ],
  "openalex": "W7222441282",
  "pdf_url": "https://arxiv.org/pdf/2610.21258",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3bc74vqa8c6fy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21258",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21258"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Rigidity for formally determined point source scattering for an anisotropic acoustic medium",
  "title_text": "Rigidity for formally determined point source scattering for an anisotropic acoustic medium",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/3bc74vqa8c6fy",
  "venue": "arXiv",
  "versions": []
}