{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:R3KFMSIQCZFNGTQVXYIGUGMP2O","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":"5b96897cdce70a95fd261c759d8b5bae3d46fe6b1002a4323bc99f64588a53de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-24T10:59:03Z","title_canon_sha256":"1e3ac9566b2ebc4f3a9219189e175c0f5ec5470cc5d6cdc45f583572afb0912e"},"schema_version":"1.0","source":{"id":"1705.08698","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08698","created_at":"2026-05-18T00:43:44Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08698v1","created_at":"2026-05-18T00:43:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08698","created_at":"2026-05-18T00:43:44Z"},{"alias_kind":"pith_short_12","alias_value":"R3KFMSIQCZFN","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"R3KFMSIQCZFNGTQV","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"R3KFMSIQ","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:f9cadd54d3d41d3490bddcbb672ce930f0623a5ea8ab304d69ed332a9a6f7237","target":"graph","created_at":"2026-05-18T00:43:44Z","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 explore the effects coming from the nested structures on propagation of radial light rays going through them in the simple self-similar configuration containing pairs of voids and overdense regions. Each pair can be described with the Lemaitre-Tolman-Bondi metric and is composed of interior dust ball and exterior Schwarzschild region. A relation between the redshift and amount of nested pairs is studied numerically in order to answer a question whether a strong relativistic effect can be obtained when every component of the structure can be described by the weak field approximation of gener","authors_text":"Jaros{\\l}aw Kopi\\'nski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-24T10:59:03Z","title":"Optical properties of self-similar structure in Lemaitre-Tolman-Bondi model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08698","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:c54a291523e9a47b9a05f85af75ce2422c6bc32e67b40a04e5090521cc7aff0d","target":"record","created_at":"2026-05-18T00:43:44Z","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":"5b96897cdce70a95fd261c759d8b5bae3d46fe6b1002a4323bc99f64588a53de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-05-24T10:59:03Z","title_canon_sha256":"1e3ac9566b2ebc4f3a9219189e175c0f5ec5470cc5d6cdc45f583572afb0912e"},"schema_version":"1.0","source":{"id":"1705.08698","kind":"arxiv","version":1}},"canonical_sha256":"8ed4564910164ad34e15be106a198fd380953cdaaa7174bfa051f38e07c1694d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ed4564910164ad34e15be106a198fd380953cdaaa7174bfa051f38e07c1694d","first_computed_at":"2026-05-18T00:43:44.552202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:44.552202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X5GuJDoaJIefINct5ij4gl5wO5/crbz7VWul3T525tsA9k6LRoBeWpAB71krqI8JH4kszD7m+Ra9tWJzMrU+DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:44.552754Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.08698","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c54a291523e9a47b9a05f85af75ce2422c6bc32e67b40a04e5090521cc7aff0d","sha256:f9cadd54d3d41d3490bddcbb672ce930f0623a5ea8ab304d69ed332a9a6f7237"],"state_sha256":"26b83fc283e02208b44b0dcce3a82bdec067b7579114229ea9351b43ed1b4166"}