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To this end, two variants of angular cross-power spectrum statistics have been proposed: one between DM and galaxy density binned by redshift $C^{Dg}_l(z_g)$ (abbreviated $D \\times g$), and one between FRB counts binned by dispersion measure (DM) and galaxy density binned by redshift $C^{fg}_l(\\textrm{DM}, z_g)$ (abbreviated $f \\times g$). Here we show the $D \\times g$ statistic can be recovered as a DM-momen"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.26135","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-07-28T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"0b6cd6b8f8fc79967840c383c9b4f95e75bd4fa14b3a44f112141ff295a95ec6","abstract_canon_sha256":"602ab8e2799ac17546098faccc973e374e3c72c758c253edbfee2a57c398d280"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0e0b49370161ca0b0e30f653445180b491d25690ccc01e7cfdb05d43ee97f5e","last_reissued_at":"2026-07-30T00:08:27.134081Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-30T00:08:27.134081Z"},"graph_snapshot":{"paper":{"title":"The FRB--Galaxy Overdensity Cross-Correlation Statistic in Dispersion Space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Haochen Wang, Kiyoshi Masui, Ryan Raikman, Shion Andrew","submitted_at":"2026-07-28T18:00:02Z","abstract_excerpt":"Cross-correlating the dispersion of fast radio bursts (FRBs) with galaxies provides a means to study the distribution of the baryons in the Universe, even in the absence of FRB redshifts. 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