{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:LGASBJFZAYWXDLX64D7R5UON44","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"171b2f9ed3c2d2348e83da7dbaf40fa91be393ff10149de7da43151a8779976a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-07-29T21:32:20Z","title_canon_sha256":"e8dc5000f3fe147500a23878ecdb6996ff39f00b1d8c87f2f779d95a5737a1d8"},"schema_version":"1.0","source":{"id":"0907.5220","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.5220","created_at":"2026-05-18T02:12:46Z"},{"alias_kind":"arxiv_version","alias_value":"0907.5220v1","created_at":"2026-05-18T02:12:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.5220","created_at":"2026-05-18T02:12:46Z"},{"alias_kind":"pith_short_12","alias_value":"LGASBJFZAYWX","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"LGASBJFZAYWXDLX6","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"LGASBJFZ","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:a7e56d7aad47a21d171b5a9c614c127be5d94b6170caf6761537c543111cb5cf","target":"graph","created_at":"2026-05-18T02:12:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"I extend the usual linear-theory formula for large-scale clustering in redshift-space to include gravitational redshift. The extra contribution to the standard galaxy power spectrum is suppressed by k_c^{-2}, where k_c=c k/a H (k is the wavevector, a the expansion factor, and H=\\dot{a}/a), and is thus effectively limited to the few largest-scale modes and very difficult to detect; however, a correlation, \\propto k_c^{-1}, is generated between the real and imaginary parts of the Fourier space density fields of two different types of galaxy, which would otherwise be zero, i.e., the cross-power s","authors_text":"Patrick McDonald","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-07-29T21:32:20Z","title":"Gravitational redshift and other redshift-space distortions of the imaginary part of the power spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.5220","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c3140ea96a74fa765b1950d7140016a53b38582ea64f9f240cf5f34ed353a9e9","target":"record","created_at":"2026-05-18T02:12:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"171b2f9ed3c2d2348e83da7dbaf40fa91be393ff10149de7da43151a8779976a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-07-29T21:32:20Z","title_canon_sha256":"e8dc5000f3fe147500a23878ecdb6996ff39f00b1d8c87f2f779d95a5737a1d8"},"schema_version":"1.0","source":{"id":"0907.5220","kind":"arxiv","version":1}},"canonical_sha256":"598120a4b9062d71aefee0ff1ed1cde71041420c4ca65d46a12a220964c15600","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"598120a4b9062d71aefee0ff1ed1cde71041420c4ca65d46a12a220964c15600","first_computed_at":"2026-05-18T02:12:46.301706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:46.301706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"La5peneEJynALIw1i0FiI4ufylwtcqBmkjTy9n6OKcVVQy5ilZCF2fH9K56jSz83uRHdyH2I+Qe7zlTPRl4aAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:46.302399Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.5220","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3140ea96a74fa765b1950d7140016a53b38582ea64f9f240cf5f34ed353a9e9","sha256:a7e56d7aad47a21d171b5a9c614c127be5d94b6170caf6761537c543111cb5cf"],"state_sha256":"2ba2d04d7c2b060d1a8016cf4fb30a853d2222f60693871ad89c35f9668cf5f6"}