{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:HWM467COZD476NRWJQ75IJVAYP","short_pith_number":"pith:HWM467CO","canonical_record":{"source":{"id":"astro-ph/9309009","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1993-09-08T01:24:02Z","cross_cats_sorted":[],"title_canon_sha256":"2b2b7da033a820a360d1594b14bfd5d1b1f96d49d6617dd65100e36f094eb96e","abstract_canon_sha256":"7a9513e51ce9d04e3196b96d120f2c3b50ad05dea876b09feeb4df79260baeee"},"schema_version":"1.0"},"canonical_sha256":"3d99cf7c4ec8f9ff36364c3fd426a0c3ef3a36b4eeb99e0d31a1bb6173eaf40a","source":{"kind":"arxiv","id":"astro-ph/9309009","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9309009","created_at":"2026-07-04T15:55:07Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9309009v1","created_at":"2026-07-04T15:55:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9309009","created_at":"2026-07-04T15:55:07Z"},{"alias_kind":"pith_short_12","alias_value":"HWM467COZD47","created_at":"2026-07-04T15:55:07Z"},{"alias_kind":"pith_short_16","alias_value":"HWM467COZD476NRW","created_at":"2026-07-04T15:55:07Z"},{"alias_kind":"pith_short_8","alias_value":"HWM467CO","created_at":"2026-07-04T15:55:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:HWM467COZD476NRWJQ75IJVAYP","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9309009","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1993-09-08T01:24:02Z","cross_cats_sorted":[],"title_canon_sha256":"2b2b7da033a820a360d1594b14bfd5d1b1f96d49d6617dd65100e36f094eb96e","abstract_canon_sha256":"7a9513e51ce9d04e3196b96d120f2c3b50ad05dea876b09feeb4df79260baeee"},"schema_version":"1.0"},"canonical_sha256":"3d99cf7c4ec8f9ff36364c3fd426a0c3ef3a36b4eeb99e0d31a1bb6173eaf40a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:55:07.721565Z","signature_b64":"xOu/sypcZQG1csP50HpJSLm4hapSawt9MXspo9GMNlFgIC6RkkLjLeuD6Opi7U8u8cygbPhp04mT71yEyKK5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d99cf7c4ec8f9ff36364c3fd426a0c3ef3a36b4eeb99e0d31a1bb6173eaf40a","last_reissued_at":"2026-07-04T15:55:07.721161Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:55:07.721161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9309009","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:55:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JFJrabMTu11dRvCXxnv7kgFZCzanZoPVHcJnA7SCI7yFvDJT5q4nsblcJTDt5+pfWPnYbQdOVlMlcsMsuQUwAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T02:30:54.883859Z"},"content_sha256":"ebf53f4bb7da4d1c4a7b098f389994bf6ef2905e52df7cd30f30470c73ce0ba9","schema_version":"1.0","event_id":"sha256:ebf53f4bb7da4d1c4a7b098f389994bf6ef2905e52df7cd30f30470c73ce0ba9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:HWM467COZD476NRWJQ75IJVAYP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Prediction of Velocity Fields from Redshift Space Galaxy Samples","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Adi Nusser, Marc Davis","submitted_at":"1993-09-08T01:24:02Z","abstract_excerpt":"We present a new method for recovering the underlying velocity field from an observed distribution of galaxies in redshift space. The method is based on a kinematic Zel'dovich relation between the velocity and density fields in redshift space. This relation is expressed in a differential equation slightly modified from the usual Poisson equation, and which depends non-trivially on $\\beta \\equiv \\Omega^{0.6}/b$. The linear equation can be readily solved by standard techniques of separation of variables by means of spherical harmonics. One can also include a term describing the ``rocket effect\" "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9309009","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/9309009/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:55:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PePzZ9nkYseLSX3Yeicq+btH0p2Q/gEt6Hj9IoX8tTpxrJ4Q+nighG623NYR//ZhdhRmzPYVh+sDd/elCAvoBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T02:30:54.884358Z"},"content_sha256":"24a6cf9808888c7f5f631168b38afaa13cb3db8066863e00ee53c2e4d6fb3dd5","schema_version":"1.0","event_id":"sha256:24a6cf9808888c7f5f631168b38afaa13cb3db8066863e00ee53c2e4d6fb3dd5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HWM467COZD476NRWJQ75IJVAYP/bundle.json","state_url":"https://pith.science/pith/HWM467COZD476NRWJQ75IJVAYP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HWM467COZD476NRWJQ75IJVAYP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-07T02:30:54Z","links":{"resolver":"https://pith.science/pith/HWM467COZD476NRWJQ75IJVAYP","bundle":"https://pith.science/pith/HWM467COZD476NRWJQ75IJVAYP/bundle.json","state":"https://pith.science/pith/HWM467COZD476NRWJQ75IJVAYP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HWM467COZD476NRWJQ75IJVAYP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:HWM467COZD476NRWJQ75IJVAYP","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":"7a9513e51ce9d04e3196b96d120f2c3b50ad05dea876b09feeb4df79260baeee","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1993-09-08T01:24:02Z","title_canon_sha256":"2b2b7da033a820a360d1594b14bfd5d1b1f96d49d6617dd65100e36f094eb96e"},"schema_version":"1.0","source":{"id":"astro-ph/9309009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9309009","created_at":"2026-07-04T15:55:07Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9309009v1","created_at":"2026-07-04T15:55:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9309009","created_at":"2026-07-04T15:55:07Z"},{"alias_kind":"pith_short_12","alias_value":"HWM467COZD47","created_at":"2026-07-04T15:55:07Z"},{"alias_kind":"pith_short_16","alias_value":"HWM467COZD476NRW","created_at":"2026-07-04T15:55:07Z"},{"alias_kind":"pith_short_8","alias_value":"HWM467CO","created_at":"2026-07-04T15:55:07Z"}],"graph_snapshots":[{"event_id":"sha256:24a6cf9808888c7f5f631168b38afaa13cb3db8066863e00ee53c2e4d6fb3dd5","target":"graph","created_at":"2026-07-04T15:55:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/astro-ph/9309009/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a new method for recovering the underlying velocity field from an observed distribution of galaxies in redshift space. The method is based on a kinematic Zel'dovich relation between the velocity and density fields in redshift space. This relation is expressed in a differential equation slightly modified from the usual Poisson equation, and which depends non-trivially on $\\beta \\equiv \\Omega^{0.6}/b$. The linear equation can be readily solved by standard techniques of separation of variables by means of spherical harmonics. One can also include a term describing the ``rocket effect\" ","authors_text":"Adi Nusser, Marc Davis","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1993-09-08T01:24:02Z","title":"On the Prediction of Velocity Fields from Redshift Space Galaxy Samples"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9309009","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:ebf53f4bb7da4d1c4a7b098f389994bf6ef2905e52df7cd30f30470c73ce0ba9","target":"record","created_at":"2026-07-04T15:55:07Z","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":"7a9513e51ce9d04e3196b96d120f2c3b50ad05dea876b09feeb4df79260baeee","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1993-09-08T01:24:02Z","title_canon_sha256":"2b2b7da033a820a360d1594b14bfd5d1b1f96d49d6617dd65100e36f094eb96e"},"schema_version":"1.0","source":{"id":"astro-ph/9309009","kind":"arxiv","version":1}},"canonical_sha256":"3d99cf7c4ec8f9ff36364c3fd426a0c3ef3a36b4eeb99e0d31a1bb6173eaf40a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d99cf7c4ec8f9ff36364c3fd426a0c3ef3a36b4eeb99e0d31a1bb6173eaf40a","first_computed_at":"2026-07-04T15:55:07.721161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:55:07.721161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xOu/sypcZQG1csP50HpJSLm4hapSawt9MXspo9GMNlFgIC6RkkLjLeuD6Opi7U8u8cygbPhp04mT71yEyKK5Cg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:55:07.721565Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9309009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebf53f4bb7da4d1c4a7b098f389994bf6ef2905e52df7cd30f30470c73ce0ba9","sha256:24a6cf9808888c7f5f631168b38afaa13cb3db8066863e00ee53c2e4d6fb3dd5"],"state_sha256":"bfaacb8e9143de73e98f9f9906bb5d731677944ba64a8177ee7e5a52ecc9bbbc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mdawZn4TqH1LcMBW7/R6+WFs4eA1gpHqXghcUouRKrnbfAVPGmgKnR9F76AkFzp4n4wdQxzSG70ccPrW9D5YCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T02:30:54.888428Z","bundle_sha256":"248648fdb043fb4acdb3388a9fd8ff6f4b582fc7511108bbdbd830133928039a"}}