{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:XBYNTZJBKOLX72TQMOSN4RZ2VI","short_pith_number":"pith:XBYNTZJB","canonical_record":{"source":{"id":"0810.0162","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-10-01T13:25:58Z","cross_cats_sorted":["astro-ph","astro-ph.CO"],"title_canon_sha256":"77cd645283f0cbe9901ca6eaf07391bb567243e7a4b90053738b9da318e3cefa","abstract_canon_sha256":"ad65f5275baa0798569b9dc53deee189198c7eb9cda6fabc35b7617374e61ed9"},"schema_version":"1.0"},"canonical_sha256":"b870d9e52153977fea7063a4de473aaa08dfa76005dcdd383648f2523a05d084","source":{"kind":"arxiv","id":"0810.0162","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.0162","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"arxiv_version","alias_value":"0810.0162v2","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.0162","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"pith_short_12","alias_value":"XBYNTZJBKOLX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"XBYNTZJBKOLX72TQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"XBYNTZJB","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:XBYNTZJBKOLX72TQMOSN4RZ2VI","target":"record","payload":{"canonical_record":{"source":{"id":"0810.0162","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-10-01T13:25:58Z","cross_cats_sorted":["astro-ph","astro-ph.CO"],"title_canon_sha256":"77cd645283f0cbe9901ca6eaf07391bb567243e7a4b90053738b9da318e3cefa","abstract_canon_sha256":"ad65f5275baa0798569b9dc53deee189198c7eb9cda6fabc35b7617374e61ed9"},"schema_version":"1.0"},"canonical_sha256":"b870d9e52153977fea7063a4de473aaa08dfa76005dcdd383648f2523a05d084","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:42.690720Z","signature_b64":"sdmTvk3kxMxObgNcI5sUCjyvo5n/336Xr5UJQQxj/wz8rgPufbIx/K68vv3jIFTMpU/48vRIewcFQqckHZfYAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b870d9e52153977fea7063a4de473aaa08dfa76005dcdd383648f2523a05d084","last_reissued_at":"2026-05-18T01:01:42.689994Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:42.689994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.0162","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":"2026-05-18T01:01:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mwxJZXZvfA/uJCUKsniOEPkknfo3dQ62CrqE8guMjegumvnAc9aO/kyKsofyQoPw1zGDNNxYPwG2SyT3VuQ8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T12:55:00.580222Z"},"content_sha256":"53768636cd884b9ea10aa1ad7971f7fdd0ae641e7dcd4f35e4b8632b531989dc","schema_version":"1.0","event_id":"sha256:53768636cd884b9ea10aa1ad7971f7fdd0ae641e7dcd4f35e4b8632b531989dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:XBYNTZJBKOLX72TQMOSN4RZ2VI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Field Fractal Cosmological Model As an Example of Practical Cosmology Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph","astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Yu. V. Baryshev (Astron.Inst.St.-Petersburg Univ.)","submitted_at":"2008-10-01T13:25:58Z","abstract_excerpt":"The idea of the global gravitational effect as the source of cosmological redshift was considered by de Sitter (1916, 1917), Eddington (1923), Tolman (1929) and Bondi (1947). Also Hubble (1929) called the discovered distance-redshift relation as \"De Sitter effect\". For homogeneous matter distribution cosmological gravitational redshift is proportional to square of distance: z_grav ~ r^2. However for a fractal matter distribution having the fractal dimension D=2 the global gravitational redshift is the linear function of distance: z_grav ~ r, which gives possibility for interpretation of the Hu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.0162","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":"2026-05-18T01:01:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MXriS2dL1+JkqXLTYN0E4p/PdjtIp/7Myw0BykSQqA+PhD2vSO6DoreokgxIPjdMdR3fSj9qTUgMTtRmSobUDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T12:55:00.580587Z"},"content_sha256":"015049045811111c814901827ddb8ef39c3f35875a5215e9e7fdcc527e61052d","schema_version":"1.0","event_id":"sha256:015049045811111c814901827ddb8ef39c3f35875a5215e9e7fdcc527e61052d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XBYNTZJBKOLX72TQMOSN4RZ2VI/bundle.json","state_url":"https://pith.science/pith/XBYNTZJBKOLX72TQMOSN4RZ2VI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XBYNTZJBKOLX72TQMOSN4RZ2VI/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":"2026-07-03T12:55:00Z","links":{"resolver":"https://pith.science/pith/XBYNTZJBKOLX72TQMOSN4RZ2VI","bundle":"https://pith.science/pith/XBYNTZJBKOLX72TQMOSN4RZ2VI/bundle.json","state":"https://pith.science/pith/XBYNTZJBKOLX72TQMOSN4RZ2VI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XBYNTZJBKOLX72TQMOSN4RZ2VI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:XBYNTZJBKOLX72TQMOSN4RZ2VI","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":"ad65f5275baa0798569b9dc53deee189198c7eb9cda6fabc35b7617374e61ed9","cross_cats_sorted":["astro-ph","astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-10-01T13:25:58Z","title_canon_sha256":"77cd645283f0cbe9901ca6eaf07391bb567243e7a4b90053738b9da318e3cefa"},"schema_version":"1.0","source":{"id":"0810.0162","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.0162","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"arxiv_version","alias_value":"0810.0162v2","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.0162","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"pith_short_12","alias_value":"XBYNTZJBKOLX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"XBYNTZJBKOLX72TQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"XBYNTZJB","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:015049045811111c814901827ddb8ef39c3f35875a5215e9e7fdcc527e61052d","target":"graph","created_at":"2026-05-18T01:01:42Z","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":"The idea of the global gravitational effect as the source of cosmological redshift was considered by de Sitter (1916, 1917), Eddington (1923), Tolman (1929) and Bondi (1947). Also Hubble (1929) called the discovered distance-redshift relation as \"De Sitter effect\". For homogeneous matter distribution cosmological gravitational redshift is proportional to square of distance: z_grav ~ r^2. However for a fractal matter distribution having the fractal dimension D=2 the global gravitational redshift is the linear function of distance: z_grav ~ r, which gives possibility for interpretation of the Hu","authors_text":"Yu. V. Baryshev (Astron.Inst.St.-Petersburg Univ.)","cross_cats":["astro-ph","astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-10-01T13:25:58Z","title":"Field Fractal Cosmological Model As an Example of Practical Cosmology Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.0162","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":"sha256:53768636cd884b9ea10aa1ad7971f7fdd0ae641e7dcd4f35e4b8632b531989dc","target":"record","created_at":"2026-05-18T01:01:42Z","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":"ad65f5275baa0798569b9dc53deee189198c7eb9cda6fabc35b7617374e61ed9","cross_cats_sorted":["astro-ph","astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-10-01T13:25:58Z","title_canon_sha256":"77cd645283f0cbe9901ca6eaf07391bb567243e7a4b90053738b9da318e3cefa"},"schema_version":"1.0","source":{"id":"0810.0162","kind":"arxiv","version":2}},"canonical_sha256":"b870d9e52153977fea7063a4de473aaa08dfa76005dcdd383648f2523a05d084","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b870d9e52153977fea7063a4de473aaa08dfa76005dcdd383648f2523a05d084","first_computed_at":"2026-05-18T01:01:42.689994Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:42.689994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sdmTvk3kxMxObgNcI5sUCjyvo5n/336Xr5UJQQxj/wz8rgPufbIx/K68vv3jIFTMpU/48vRIewcFQqckHZfYAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:42.690720Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.0162","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53768636cd884b9ea10aa1ad7971f7fdd0ae641e7dcd4f35e4b8632b531989dc","sha256:015049045811111c814901827ddb8ef39c3f35875a5215e9e7fdcc527e61052d"],"state_sha256":"923b072bfa64b47cd8c151633c332d17968b6f60b4b925e0f162a22e057a7473"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mJ7jDCz2LBK+o3IQEslUpJU7dV3Ptvhmd8aLsy7of0dnHBzB1+DGukiVNjheDsLqs9ANA9HeQJulRNjTXpd8Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T12:55:00.582515Z","bundle_sha256":"d7fc2addfb95fe514c81211ec4cfd88ec0dc64744ac852f382a01da4aa0be84a"}}