{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XAHSLAOL7RP2LNKEHSO6B4RX6R","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":"c2734f057cd6fe8668c10c1375dfcff509448813a4453ce33af46b31eea57f41","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-06T09:47:48Z","title_canon_sha256":"0ad4882e7a1eb76dacaf2e1dc949a77a0884d6844a098545b36751db439dbed4"},"schema_version":"1.0","source":{"id":"1905.01900","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.01900","created_at":"2026-07-05T07:13:17Z"},{"alias_kind":"arxiv_version","alias_value":"1905.01900v2","created_at":"2026-07-05T07:13:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.01900","created_at":"2026-07-05T07:13:17Z"},{"alias_kind":"pith_short_12","alias_value":"XAHSLAOL7RP2","created_at":"2026-07-05T07:13:17Z"},{"alias_kind":"pith_short_16","alias_value":"XAHSLAOL7RP2LNKE","created_at":"2026-07-05T07:13:17Z"},{"alias_kind":"pith_short_8","alias_value":"XAHSLAOL","created_at":"2026-07-05T07:13:17Z"}],"graph_snapshots":[{"event_id":"sha256:1aeee36be205a8c5e0c9b85f48042e9b5c2d650bb854f057a7a498c002ee2bf5","target":"graph","created_at":"2026-07-05T07:13:17Z","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/1905.01900/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend a recent work on weak field first order light deflection in the MOdified Gravity (MOG) by comprehensively analyzing the actual observables in gravitational lensing both in the weak and strong field regime. The static spherically symmetric black hole (BH) obtained by Moffat is what we call here the Schwarzschild-MOG (abbreviated as SMOG) containing repulsive Yukawa-like force characterized by the MOG parameter $\\alpha>0$ diminishing gravitational attraction. We point out a remarkable feature of SMOG, viz., it resembles a regular \\textit{brane-world} BH in the range $-1<\\alpha <0$ givi","authors_text":"E.R. Zhdanov, K.K. Nandi, R.Kh. Karimov, R.N. Izmailov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-06T09:47:48Z","title":"Modified gravity black hole lensing observables in weak and strong field of gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.01900","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:f0c80e8326620dd42e70702fb2421c3fe63622123832a13c3eed2c0b489127a4","target":"record","created_at":"2026-07-05T07:13:17Z","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":"c2734f057cd6fe8668c10c1375dfcff509448813a4453ce33af46b31eea57f41","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-06T09:47:48Z","title_canon_sha256":"0ad4882e7a1eb76dacaf2e1dc949a77a0884d6844a098545b36751db439dbed4"},"schema_version":"1.0","source":{"id":"1905.01900","kind":"arxiv","version":2}},"canonical_sha256":"b80f2581cbfc5fa5b5443c9de0f237f47748c283d5b79f8bf33c716891cfb165","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b80f2581cbfc5fa5b5443c9de0f237f47748c283d5b79f8bf33c716891cfb165","first_computed_at":"2026-07-05T07:13:17.834910Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:13:17.834910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KnjYEinFSIfKpJU9/wz/i2NoT7g+kOyjNZj8D/KoeoaQWmC5Cqd4iWo9i5xlGRiCIys6Y/7irt3LUmwqGq+PCg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:13:17.835362Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.01900","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0c80e8326620dd42e70702fb2421c3fe63622123832a13c3eed2c0b489127a4","sha256:1aeee36be205a8c5e0c9b85f48042e9b5c2d650bb854f057a7a498c002ee2bf5"],"state_sha256":"36c047088be3327255d9eacdd7473473e44465a1fd0e5e6c7cc51bd05d993c7f"}