{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ULKQPO7PUQVQWZFVKR6FNIAQJ4","short_pith_number":"pith:ULKQPO7P","canonical_record":{"source":{"id":"1212.4697","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-19T15:07:26Z","cross_cats_sorted":[],"title_canon_sha256":"48e4c5c20f1cbdbe6a99a7491362cfe5d19cfa04334ec053aef3edc10c727acb","abstract_canon_sha256":"bb3c454112da26f40726cf80456721c528797292ef3ee319c271c7a30adb6454"},"schema_version":"1.0"},"canonical_sha256":"a2d507bbefa42b0b64b5547c56a0104f0b481edcc6ae47426eb9cc0e593c2402","source":{"kind":"arxiv","id":"1212.4697","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4697","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4697v3","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4697","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"pith_short_12","alias_value":"ULKQPO7PUQVQ","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"ULKQPO7PUQVQWZFV","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"ULKQPO7P","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ULKQPO7PUQVQWZFVKR6FNIAQJ4","target":"record","payload":{"canonical_record":{"source":{"id":"1212.4697","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-19T15:07:26Z","cross_cats_sorted":[],"title_canon_sha256":"48e4c5c20f1cbdbe6a99a7491362cfe5d19cfa04334ec053aef3edc10c727acb","abstract_canon_sha256":"bb3c454112da26f40726cf80456721c528797292ef3ee319c271c7a30adb6454"},"schema_version":"1.0"},"canonical_sha256":"a2d507bbefa42b0b64b5547c56a0104f0b481edcc6ae47426eb9cc0e593c2402","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:30.453446Z","signature_b64":"uuF23dOH3/dLsCGY9fw1kUdPtEe9jO0luQRj6JHCzt+JHcftczCBaZljn+kzALFi3mZazcGBkcJKCF39PxBkDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2d507bbefa42b0b64b5547c56a0104f0b481edcc6ae47426eb9cc0e593c2402","last_reissued_at":"2026-05-18T01:52:30.452689Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:30.452689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.4697","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:52:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NoITot4qzeFgTpSqlY9aNMQeCx+GadKzi97B7fHY9KoccH2yxF6W3DhPMQkf1rXa2pFVwvlJqXnmY7z9crrXBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T18:18:15.065005Z"},"content_sha256":"88fc6798a3aeddea43160fd3df6c94497627f1aa2cb33fa3dfdb8e609dcbbc77","schema_version":"1.0","event_id":"sha256:88fc6798a3aeddea43160fd3df6c94497627f1aa2cb33fa3dfdb8e609dcbbc77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ULKQPO7PUQVQWZFVKR6FNIAQJ4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact inhomogeneous models and the drift of light rays induced by nonsymmetric flow of the cosmic medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Andrzej Krasi\\'nski, Krzysztof Bolejko","submitted_at":"2012-12-19T15:07:26Z","abstract_excerpt":"After introducing the Szekeres and Lema\\^{\\i}tre--Tolman cosmological models, the real-time cosmology program is briefly mentioned. Then, a few widespread misconceptions about the cosmological models are pointed out and corrected. Investigation of null geodesic equations in the Szekeres models shows that observers in favourable positions would see galaxies drift across the sky at a rate of up to $10^{-6}$ arc seconds per year. Such a drift would be possible to measure using devices that are under construction; the required time of monitoring would be $\\approx10$ years. This effect is zero in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4697","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:52:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qcPJt/aJFiZvHQlGNQZS4WkAzs5ZNNfepIDr4jU7RM7mg7XpxjxJg5ZnUyoIB7TCzxuvcN+MwQXeN5axFU9MBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T18:18:15.065884Z"},"content_sha256":"76f2fbe443a4a55e1981be7c47e8942f43cbf1fdf67b354d3c697d027d434b2d","schema_version":"1.0","event_id":"sha256:76f2fbe443a4a55e1981be7c47e8942f43cbf1fdf67b354d3c697d027d434b2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ULKQPO7PUQVQWZFVKR6FNIAQJ4/bundle.json","state_url":"https://pith.science/pith/ULKQPO7PUQVQWZFVKR6FNIAQJ4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ULKQPO7PUQVQWZFVKR6FNIAQJ4/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":"2026-08-15T18:18:15Z","links":{"resolver":"https://pith.science/pith/ULKQPO7PUQVQWZFVKR6FNIAQJ4","bundle":"https://pith.science/pith/ULKQPO7PUQVQWZFVKR6FNIAQJ4/bundle.json","state":"https://pith.science/pith/ULKQPO7PUQVQWZFVKR6FNIAQJ4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ULKQPO7PUQVQWZFVKR6FNIAQJ4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ULKQPO7PUQVQWZFVKR6FNIAQJ4","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":"bb3c454112da26f40726cf80456721c528797292ef3ee319c271c7a30adb6454","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-19T15:07:26Z","title_canon_sha256":"48e4c5c20f1cbdbe6a99a7491362cfe5d19cfa04334ec053aef3edc10c727acb"},"schema_version":"1.0","source":{"id":"1212.4697","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4697","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4697v3","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4697","created_at":"2026-05-18T01:52:30Z"},{"alias_kind":"pith_short_12","alias_value":"ULKQPO7PUQVQ","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"ULKQPO7PUQVQWZFV","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"ULKQPO7P","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:76f2fbe443a4a55e1981be7c47e8942f43cbf1fdf67b354d3c697d027d434b2d","target":"graph","created_at":"2026-05-18T01:52:30Z","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":"After introducing the Szekeres and Lema\\^{\\i}tre--Tolman cosmological models, the real-time cosmology program is briefly mentioned. Then, a few widespread misconceptions about the cosmological models are pointed out and corrected. Investigation of null geodesic equations in the Szekeres models shows that observers in favourable positions would see galaxies drift across the sky at a rate of up to $10^{-6}$ arc seconds per year. Such a drift would be possible to measure using devices that are under construction; the required time of monitoring would be $\\approx10$ years. This effect is zero in t","authors_text":"Andrzej Krasi\\'nski, Krzysztof Bolejko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-19T15:07:26Z","title":"Exact inhomogeneous models and the drift of light rays induced by nonsymmetric flow of the cosmic medium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4697","kind":"arxiv","version":3},"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":"sha256:88fc6798a3aeddea43160fd3df6c94497627f1aa2cb33fa3dfdb8e609dcbbc77","target":"record","created_at":"2026-05-18T01:52:30Z","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":"bb3c454112da26f40726cf80456721c528797292ef3ee319c271c7a30adb6454","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-19T15:07:26Z","title_canon_sha256":"48e4c5c20f1cbdbe6a99a7491362cfe5d19cfa04334ec053aef3edc10c727acb"},"schema_version":"1.0","source":{"id":"1212.4697","kind":"arxiv","version":3}},"canonical_sha256":"a2d507bbefa42b0b64b5547c56a0104f0b481edcc6ae47426eb9cc0e593c2402","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2d507bbefa42b0b64b5547c56a0104f0b481edcc6ae47426eb9cc0e593c2402","first_computed_at":"2026-05-18T01:52:30.452689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:30.452689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uuF23dOH3/dLsCGY9fw1kUdPtEe9jO0luQRj6JHCzt+JHcftczCBaZljn+kzALFi3mZazcGBkcJKCF39PxBkDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:30.453446Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4697","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88fc6798a3aeddea43160fd3df6c94497627f1aa2cb33fa3dfdb8e609dcbbc77","sha256:76f2fbe443a4a55e1981be7c47e8942f43cbf1fdf67b354d3c697d027d434b2d"],"state_sha256":"727d427ad8a32c5b4bd280d9035fc3f52a707a70df5bd781b2aac00a7831306a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gO7kE450X/+Fo1XUCd6U2VJVvSVLXqB7srDE6fz1qMsnSa0l/fZyRNyNljkwLe3/8xRJTwebzL3mFn+b9+FiCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T18:18:15.071115Z","bundle_sha256":"a9951e0704b3934e1078e2e1ec5307860318be40150cb0a51453ac2639c21340"}}