{
  "abstract": "Context. Photometric-redshift uncertainties redistribute galaxy pairs along the line of sight (LOS), diluting spatial clustering measurements. Propagating full redshift probability density functions (PDFs) through standard pair-count estimators remains computationally demanding. Aims. We present $ν$Gundam, a unified framework to propagate radial PDFs at the pair-count level while retaining a common interface for exact, compressed, and stochastic projected-clustering calculations. Methods. The code implements four modes: exact empirical-PDF integration, Gaussian-mixture compression, Monte Carlo (MC) sampling, and a quantile-compression method. All modes accumulate pair counts on a resolved ($r_\\mathrm{p},π$) grid, from which $ξ(r_\\mathrm{p},π)$ and $w_\\mathrm{p}(r_\\mathrm{p};Π)$ are reconstructed. We validate these with DESI galaxies and CosmoDC2 mocks. Results. The PDF-aware modes produce nearly indistinguishable LOS redistribution kernels, while point-photo-$z$ estimates discard probabilistic pair information. Radial uncertainty mainly redistributes the clustering signal to larger $π$; the depth required to recover the truth projection scales with the pairwise radial dispersion. For practical settings, MC, quantile, and Gaussian-mixture compression reproduce the exact result with fractional RMS residuals below 5%. Applied to DESI Bright Galaxy Survey samples, MC sampling recovers spectroscopic clustering shapes and relative amplitudes for $r_\\mathrm{p}\\gtrsim0.8\\,h^{-1}\\mathrm{Mpc}$ using sample-dependent recovery depths of ~400 and ~$180\\,h^{-1}\\mathrm{Mpc}$ for red and blue galaxies. Conclusions. Projected clustering with redshift PDFs is a pair-redistribution problem. When propagated consistently, the signal is recovered accurately and efficiently. The integration depth is sample dependent and should be part of the measurement definition rather than a fixed choice.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29116",
  "author_total": 4,
  "authors": [
    {
      "name": "E. Donoso"
    },
    {
      "name": "C. A. Lopez Cortez"
    },
    {
      "name": "U. Sureshkumar"
    },
    {
      "name": "Mariano J. Domínguez Romero"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f5r3jm6mfvkcy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29116",
  "fulltext_url": null,
  "id": "f5r3jm6mfvkcy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29116",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.CO"
    ],
    [
      "openalex",
      "3103|Galaxies: Formation, Evolution, Phenomena"
    ]
  ],
  "openalex": "W7223231007",
  "pdf_url": "https://arxiv.org/pdf/2610.29116",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f5r3jm6mfvkcy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:19Z",
      "native_id": "2610.29116",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29116"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    }
  ],
  "title": "$ν$Gundam: a unified framework for point-redshift and PDF-aware spatial correlation functions",
  "title_text": "νGundam: a unified framework for point-redshift and PDF-aware spatial correlation functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:19Z",
  "url": "https://research.draconitic.com/paper/f5r3jm6mfvkcy",
  "venue": "arXiv",
  "versions": []
}