{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:4TUMANN47VWQJU3FMKZKHGVJAU","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":"2292d428aa8c75072ef74992228e54f2392027544d8c75e245c815ff815496cf","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1998-04-06T06:17:35Z","title_canon_sha256":"f049da83555bf171803b7751a3390bbb24d2f3e61ce9e4f58f6360191c47edfb"},"schema_version":"1.0","source":{"id":"astro-ph/9804051","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9804051","created_at":"2026-05-18T04:28:57Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9804051v2","created_at":"2026-05-18T04:28:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9804051","created_at":"2026-05-18T04:28:57Z"},{"alias_kind":"pith_short_12","alias_value":"4TUMANN47VWQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"4TUMANN47VWQJU3F","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"4TUMANN4","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:18e36fc95e04450260cac7bab92d8bfbf31df41173bb42c3cada53c857320504","target":"graph","created_at":"2026-05-18T04:28:57Z","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":"We extend the formalism of the relativistic thermal Sunyaev-Zel'dovich effect to the system moving with a velocity beta (= v/c) with respect to the cosmic microwave background radiation. In the present formalism, the kinematic Sunyaev-Zel'dovich effect for the cluster of galaxies with a peculiar velocity is derived in a straightforward manner by the Lorentz boost of the generalized Kompaneets equation. We give an analytic expression for the kinematic Sunyaev-Zel'dovich effect which is valid up to O(beta^{2}) with the power series expansion approximation in terms of theta_{e} = k_{B} T_{e}/ mc^","authors_text":"Naoki Itoh, Satoshi Nozawa, Yasuharu Kohyama","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1998-04-06T06:17:35Z","title":"Relativistic Corrections to the Sunyaev-Zel'dovich Effect for Clusters of Galaxies. II. Inclusion of Peculiar Velocities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9804051","kind":"arxiv","version":2},"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:d0b711525ebf08a9d91c8fccf9613200007d9c0f98163ab1740009153716a283","target":"record","created_at":"2026-05-18T04:28:57Z","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":"2292d428aa8c75072ef74992228e54f2392027544d8c75e245c815ff815496cf","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1998-04-06T06:17:35Z","title_canon_sha256":"f049da83555bf171803b7751a3390bbb24d2f3e61ce9e4f58f6360191c47edfb"},"schema_version":"1.0","source":{"id":"astro-ph/9804051","kind":"arxiv","version":2}},"canonical_sha256":"e4e8c035bcfd6d04d36562b2a39aa9052917a80a9f1628e68b431127d5a00b2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4e8c035bcfd6d04d36562b2a39aa9052917a80a9f1628e68b431127d5a00b2e","first_computed_at":"2026-05-18T04:28:57.233337Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:57.233337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sXZ+NlQoM1/qoYxRGrJ0Sp63Sy4Hqx1ygf9ZuSQeknSpWRx/Da6kZl9JhCwRFZR01iKX9jiYrY6axTsiAVy3Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:57.233989Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9804051","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0b711525ebf08a9d91c8fccf9613200007d9c0f98163ab1740009153716a283","sha256:18e36fc95e04450260cac7bab92d8bfbf31df41173bb42c3cada53c857320504"],"state_sha256":"de662b3c78ce5f6962d79d62ccc38a6766591d0a9e4832439347182b9866b99b"}