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Under the assumptions of gravitational instability and a linear biasing parameter $b\\sbo$ between optical galaxies and mass, we obtain $\\beta\\sbo \\equiv \\om^{0.6}/b\\sbo = 0.74 \\pm 0.13$. This result is obtained from a regression of POTENT mass density on optical density after correcting the mass density field for systemati"},"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":"astro-ph/9501074","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1995-01-19T23:47:03Z","cross_cats_sorted":[],"title_canon_sha256":"5df48f413a8bc93e519894f5dc3413b6b700c5f937e9d362a3e66a7a52ee44d0","abstract_canon_sha256":"3afcd62e30784efe9fa431dd98e8086ae4dc9ce5c9c1f4943e43f230f1e2550d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:23.916654Z","signature_b64":"TFgArVRpZ5rsoqcxV73gd/uAY7qJiTIEn7qVFJghC5kKToBR3W2hbKQU3a+oqX0TQUQ+2A9+GvkLj7EOq6V7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a5cc86cdfe1279d100968676433a185891687f20b3566c7885f5b9d70514ef8","last_reissued_at":"2026-05-18T01:40:23.915950Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:23.915950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"OMEGA AND BIASING FROM OPTICAL GALAXIES VERSUS POTENT MASS","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"A. Dekel, J. A. Willick, M. J. Hudson, S. Courteau, S. M. Faber","submitted_at":"1995-01-19T23:47:03Z","abstract_excerpt":"The mass density field in the local universe, recovered by the POTENT method from peculiar velocities of $\\sim$3000 galaxies, is compared with the density field of optically-selected galaxies. Both density fields are smoothed with a Gaussian filter of radius 12 $h^{-1}$ Mpc. Under the assumptions of gravitational instability and a linear biasing parameter $b\\sbo$ between optical galaxies and mass, we obtain $\\beta\\sbo \\equiv \\om^{0.6}/b\\sbo = 0.74 \\pm 0.13$. 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