{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:XAHSLAOL7RP2LNKEHSO6B4RX6R","short_pith_number":"pith:XAHSLAOL","schema_version":"1.0","canonical_sha256":"b80f2581cbfc5fa5b5443c9de0f237f47748c283d5b79f8bf33c716891cfb165","source":{"kind":"arxiv","id":"1905.01900","version":2},"attestation_state":"computed","paper":{"title":"Modified gravity black hole lensing observables in weak and strong field of gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"E.R. Zhdanov, K.K. Nandi, R.Kh. Karimov, R.N. Izmailov","submitted_at":"2019-05-06T09:47:48Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1905.01900","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-06T09:47:48Z","cross_cats_sorted":[],"title_canon_sha256":"0ad4882e7a1eb76dacaf2e1dc949a77a0884d6844a098545b36751db439dbed4","abstract_canon_sha256":"c2734f057cd6fe8668c10c1375dfcff509448813a4453ce33af46b31eea57f41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:13:17.835362Z","signature_b64":"KnjYEinFSIfKpJU9/wz/i2NoT7g+kOyjNZj8D/KoeoaQWmC5Cqd4iWo9i5xlGRiCIys6Y/7irt3LUmwqGq+PCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b80f2581cbfc5fa5b5443c9de0f237f47748c283d5b79f8bf33c716891cfb165","last_reissued_at":"2026-07-05T07:13:17.834910Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:13:17.834910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modified gravity black hole lensing observables in weak and strong field of gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"E.R. Zhdanov, K.K. Nandi, R.Kh. Karimov, R.N. Izmailov","submitted_at":"2019-05-06T09:47:48Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.01900","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1905.01900/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1905.01900","created_at":"2026-07-05T07:13:17.834966+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.01900v2","created_at":"2026-07-05T07:13:17.834966+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.01900","created_at":"2026-07-05T07:13:17.834966+00:00"},{"alias_kind":"pith_short_12","alias_value":"XAHSLAOL7RP2","created_at":"2026-07-05T07:13:17.834966+00:00"},{"alias_kind":"pith_short_16","alias_value":"XAHSLAOL7RP2LNKE","created_at":"2026-07-05T07:13:17.834966+00:00"},{"alias_kind":"pith_short_8","alias_value":"XAHSLAOL","created_at":"2026-07-05T07:13:17.834966+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.15397","citing_title":"Astrophysical properties of static black holes embedded in a Dehnen type dark matter halo with the presence of quintessential field","ref_index":71,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XAHSLAOL7RP2LNKEHSO6B4RX6R","json":"https://pith.science/pith/XAHSLAOL7RP2LNKEHSO6B4RX6R.json","graph_json":"https://pith.science/api/pith-number/XAHSLAOL7RP2LNKEHSO6B4RX6R/graph.json","events_json":"https://pith.science/api/pith-number/XAHSLAOL7RP2LNKEHSO6B4RX6R/events.json","paper":"https://pith.science/paper/XAHSLAOL"},"agent_actions":{"view_html":"https://pith.science/pith/XAHSLAOL7RP2LNKEHSO6B4RX6R","download_json":"https://pith.science/pith/XAHSLAOL7RP2LNKEHSO6B4RX6R.json","view_paper":"https://pith.science/paper/XAHSLAOL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.01900&json=true","fetch_graph":"https://pith.science/api/pith-number/XAHSLAOL7RP2LNKEHSO6B4RX6R/graph.json","fetch_events":"https://pith.science/api/pith-number/XAHSLAOL7RP2LNKEHSO6B4RX6R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XAHSLAOL7RP2LNKEHSO6B4RX6R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XAHSLAOL7RP2LNKEHSO6B4RX6R/action/storage_attestation","attest_author":"https://pith.science/pith/XAHSLAOL7RP2LNKEHSO6B4RX6R/action/author_attestation","sign_citation":"https://pith.science/pith/XAHSLAOL7RP2LNKEHSO6B4RX6R/action/citation_signature","submit_replication":"https://pith.science/pith/XAHSLAOL7RP2LNKEHSO6B4RX6R/action/replication_record"}},"created_at":"2026-07-05T07:13:17.834966+00:00","updated_at":"2026-07-05T07:13:17.834966+00:00"}