{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7NJDN3UDJJ2XKTRV4RBUVIMCRS","short_pith_number":"pith:7NJDN3UD","canonical_record":{"source":{"id":"1503.05147","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-17T18:14:45Z","cross_cats_sorted":[],"title_canon_sha256":"89d70a0b946810e3cafab63de7e49442a4d319a444f0dfc8fcf2e5351444d7b3","abstract_canon_sha256":"2bea0f7dd56777d7c0945d4cca0f188b7ab0251c0e2913f34d50175d06776a4f"},"schema_version":"1.0"},"canonical_sha256":"fb5236ee834a75754e35e4434aa1828c9b6de44174aff01b745c6f27e1945569","source":{"kind":"arxiv","id":"1503.05147","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05147","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05147v2","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05147","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"7NJDN3UDJJ2X","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7NJDN3UDJJ2XKTRV","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7NJDN3UD","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7NJDN3UDJJ2XKTRV4RBUVIMCRS","target":"record","payload":{"canonical_record":{"source":{"id":"1503.05147","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-17T18:14:45Z","cross_cats_sorted":[],"title_canon_sha256":"89d70a0b946810e3cafab63de7e49442a4d319a444f0dfc8fcf2e5351444d7b3","abstract_canon_sha256":"2bea0f7dd56777d7c0945d4cca0f188b7ab0251c0e2913f34d50175d06776a4f"},"schema_version":"1.0"},"canonical_sha256":"fb5236ee834a75754e35e4434aa1828c9b6de44174aff01b745c6f27e1945569","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:31.635728Z","signature_b64":"8v22gk0lrIif9qL5jR3ivTcg/+52s2taNRdCETTox03vQTu09mIeycdCtpFELWWtAG0SFgBRp1GJIFCdcUpiCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb5236ee834a75754e35e4434aa1828c9b6de44174aff01b745c6f27e1945569","last_reissued_at":"2026-05-18T01:26:31.635071Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:31.635071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.05147","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRMkgV0P71VfiQbR/QoN8aExmCk6gnR1IZJEcy7A2njPfGEOX5xjk2olkZ7cmxubdgtGqIx6ETla8n11Ihg4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:11:13.949056Z"},"content_sha256":"76f54c3df75328bf8fe7fa8e37a4e7f908173d8506f923a9e9cd9b4464837ce1","schema_version":"1.0","event_id":"sha256:76f54c3df75328bf8fe7fa8e37a4e7f908173d8506f923a9e9cd9b4464837ce1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7NJDN3UDJJ2XKTRV4RBUVIMCRS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological redshift, recession velocities and acceleration measures in FRW cosmologies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A.V. Toporensky, Russia), S.B. Popov (Sternberg Astronomical Institute","submitted_at":"2015-03-17T18:14:45Z","abstract_excerpt":"In this methodological note we discuss several topics related to interpretation of some basic cosmological principles. We demonstrate that one of the key points is the usage of synchronous reference frames. The Friedmann-Robertson-Walker one is the most known example of them. We describe how different quantities behave in this frame. Special attention is paid to potentially observable parameters. We discuss different variants for choosing measures of velocity and acceleration representing the Hubble flow, and present illustrative calculations of apparent acceleration in flat $\\Lambda CDM$ mode"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05147","kind":"arxiv","version":2},"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":"2026-05-18T01:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S/RTkrBh9kyUzQymF9Z3A+aedwWplonLaJ8T3t/X2mGaIbkVB/ZwQvLD+ysxFxhj61Pu4NLqBxZ9XiPL4N1CCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:11:13.949717Z"},"content_sha256":"8488d1928b76f1da2fb47e3479dffaf5753a7b09f6ebcbb3540b535f1d2987bf","schema_version":"1.0","event_id":"sha256:8488d1928b76f1da2fb47e3479dffaf5753a7b09f6ebcbb3540b535f1d2987bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7NJDN3UDJJ2XKTRV4RBUVIMCRS/bundle.json","state_url":"https://pith.science/pith/7NJDN3UDJJ2XKTRV4RBUVIMCRS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7NJDN3UDJJ2XKTRV4RBUVIMCRS/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":"2026-05-29T21:11:13Z","links":{"resolver":"https://pith.science/pith/7NJDN3UDJJ2XKTRV4RBUVIMCRS","bundle":"https://pith.science/pith/7NJDN3UDJJ2XKTRV4RBUVIMCRS/bundle.json","state":"https://pith.science/pith/7NJDN3UDJJ2XKTRV4RBUVIMCRS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7NJDN3UDJJ2XKTRV4RBUVIMCRS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7NJDN3UDJJ2XKTRV4RBUVIMCRS","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":"2bea0f7dd56777d7c0945d4cca0f188b7ab0251c0e2913f34d50175d06776a4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-17T18:14:45Z","title_canon_sha256":"89d70a0b946810e3cafab63de7e49442a4d319a444f0dfc8fcf2e5351444d7b3"},"schema_version":"1.0","source":{"id":"1503.05147","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05147","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05147v2","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05147","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"7NJDN3UDJJ2X","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7NJDN3UDJJ2XKTRV","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7NJDN3UD","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:8488d1928b76f1da2fb47e3479dffaf5753a7b09f6ebcbb3540b535f1d2987bf","target":"graph","created_at":"2026-05-18T01:26:31Z","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":"In this methodological note we discuss several topics related to interpretation of some basic cosmological principles. We demonstrate that one of the key points is the usage of synchronous reference frames. The Friedmann-Robertson-Walker one is the most known example of them. We describe how different quantities behave in this frame. Special attention is paid to potentially observable parameters. We discuss different variants for choosing measures of velocity and acceleration representing the Hubble flow, and present illustrative calculations of apparent acceleration in flat $\\Lambda CDM$ mode","authors_text":"A.V. Toporensky, Russia), S.B. Popov (Sternberg Astronomical Institute","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-17T18:14:45Z","title":"Cosmological redshift, recession velocities and acceleration measures in FRW cosmologies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05147","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":"sha256:76f54c3df75328bf8fe7fa8e37a4e7f908173d8506f923a9e9cd9b4464837ce1","target":"record","created_at":"2026-05-18T01:26:31Z","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":"2bea0f7dd56777d7c0945d4cca0f188b7ab0251c0e2913f34d50175d06776a4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-17T18:14:45Z","title_canon_sha256":"89d70a0b946810e3cafab63de7e49442a4d319a444f0dfc8fcf2e5351444d7b3"},"schema_version":"1.0","source":{"id":"1503.05147","kind":"arxiv","version":2}},"canonical_sha256":"fb5236ee834a75754e35e4434aa1828c9b6de44174aff01b745c6f27e1945569","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb5236ee834a75754e35e4434aa1828c9b6de44174aff01b745c6f27e1945569","first_computed_at":"2026-05-18T01:26:31.635071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:31.635071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8v22gk0lrIif9qL5jR3ivTcg/+52s2taNRdCETTox03vQTu09mIeycdCtpFELWWtAG0SFgBRp1GJIFCdcUpiCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:31.635728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.05147","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76f54c3df75328bf8fe7fa8e37a4e7f908173d8506f923a9e9cd9b4464837ce1","sha256:8488d1928b76f1da2fb47e3479dffaf5753a7b09f6ebcbb3540b535f1d2987bf"],"state_sha256":"0cc626db628d6e8bec9043e22eb67cc6420a7a2e9cb7739504a9b3111d7399ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/EduxtvsQp/lz3lgMB5To8RJUxIfJpXWn0ig5RJV9LAE2IPp64gOhoQIzidumz8D1O2uZmz6Z7V2jB74MioZCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T21:11:13.953121Z","bundle_sha256":"607191528155e3aa6c84e6591f96fed5364dac43ba9f267951d835cd0da7d85a"}}