{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:XEQ4LUIMLEYBFQLNQD6K64DT2L","short_pith_number":"pith:XEQ4LUIM","canonical_record":{"source":{"id":"2411.19048","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-11-28T10:45:20Z","cross_cats_sorted":[],"title_canon_sha256":"2f5c446cf18686fc29fa389663c50abb898bac05a8a3b68f58728d3ce8652e30","abstract_canon_sha256":"d955b5c9bd3b96a1df5b3bcad56563b929e1d349550f3965d5e78c467aeb235a"},"schema_version":"1.0"},"canonical_sha256":"b921c5d10c593012c16d80fcaf7073d2f22b8612ae548564c68406d77c985aca","source":{"kind":"arxiv","id":"2411.19048","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.19048","created_at":"2026-07-05T12:01:55Z"},{"alias_kind":"arxiv_version","alias_value":"2411.19048v2","created_at":"2026-07-05T12:01:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.19048","created_at":"2026-07-05T12:01:55Z"},{"alias_kind":"pith_short_12","alias_value":"XEQ4LUIMLEYB","created_at":"2026-07-05T12:01:55Z"},{"alias_kind":"pith_short_16","alias_value":"XEQ4LUIMLEYBFQLN","created_at":"2026-07-05T12:01:55Z"},{"alias_kind":"pith_short_8","alias_value":"XEQ4LUIM","created_at":"2026-07-05T12:01:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:XEQ4LUIMLEYBFQLNQD6K64DT2L","target":"record","payload":{"canonical_record":{"source":{"id":"2411.19048","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-11-28T10:45:20Z","cross_cats_sorted":[],"title_canon_sha256":"2f5c446cf18686fc29fa389663c50abb898bac05a8a3b68f58728d3ce8652e30","abstract_canon_sha256":"d955b5c9bd3b96a1df5b3bcad56563b929e1d349550f3965d5e78c467aeb235a"},"schema_version":"1.0"},"canonical_sha256":"b921c5d10c593012c16d80fcaf7073d2f22b8612ae548564c68406d77c985aca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:01:55.923118Z","signature_b64":"ASLRAguVIcxm305meSFjjs1qEbDO+IK+ILOiqatHKxh3J5onlV6tjO7TxXzHrZuBzszmiZ8h5JZVKbgosFySAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b921c5d10c593012c16d80fcaf7073d2f22b8612ae548564c68406d77c985aca","last_reissued_at":"2026-07-05T12:01:55.922613Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:01:55.922613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.19048","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":"2026-07-05T12:01:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F2ldfqGuTXa1K1ilvlcf8Qt3VfLee9EbwB5yMm4Mf74PQ5Ay+2pRT2xsNgchQU60EEXv+0rsuosZ7wGhLgm9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T10:16:57.201137Z"},"content_sha256":"04486208a99aaac06e3998943288b1ad8e4246b3561336a33cfd496922bac089","schema_version":"1.0","event_id":"sha256:04486208a99aaac06e3998943288b1ad8e4246b3561336a33cfd496922bac089"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:XEQ4LUIMLEYBFQLNQD6K64DT2L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Investigating the effects of gravitational lensing by Hu-Sawicki $\\boldsymbol{f(R)}$ gravity black holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Gayatri Mohan, Nashiba Parbin, Umananda Dev Goswami","submitted_at":"2024-11-28T10:45:20Z","abstract_excerpt":"In this work, gravitational lensing in the weak and strong field limits is investigated for black hole spacetime within the framework of Hu-Sawicki $f(R)$ gravity. We employ the Ishihara et al. approach for weak lensing and adopt Bozza's method for strong lensing to explore the impact of Hu-Sawicki model parameters on lensing phenomenon. The deflection angles are computed and analyzed in both the field limits. Our investigation in the weak as well as the strong lensing reveals that in the case of Hu-Sawicki black holes, photons exhibit divergence at smaller impact parameters for different valu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.19048","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/2411.19048/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:01:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rgpwaIU8L6wCNEZPavJodNLaysT8m4q/aOvGcINF+tDa0OuZeMcZSUFVJ9/vyUp1i03ffrHr05EpHO4+SttTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T10:16:57.201780Z"},"content_sha256":"da3f615b0c07afad8e0d69d02f30877d0270e8ed643ee6e861c2cfade743f7fc","schema_version":"1.0","event_id":"sha256:da3f615b0c07afad8e0d69d02f30877d0270e8ed643ee6e861c2cfade743f7fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XEQ4LUIMLEYBFQLNQD6K64DT2L/bundle.json","state_url":"https://pith.science/pith/XEQ4LUIMLEYBFQLNQD6K64DT2L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XEQ4LUIMLEYBFQLNQD6K64DT2L/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":"2026-08-08T10:16:57Z","links":{"resolver":"https://pith.science/pith/XEQ4LUIMLEYBFQLNQD6K64DT2L","bundle":"https://pith.science/pith/XEQ4LUIMLEYBFQLNQD6K64DT2L/bundle.json","state":"https://pith.science/pith/XEQ4LUIMLEYBFQLNQD6K64DT2L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XEQ4LUIMLEYBFQLNQD6K64DT2L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XEQ4LUIMLEYBFQLNQD6K64DT2L","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":"d955b5c9bd3b96a1df5b3bcad56563b929e1d349550f3965d5e78c467aeb235a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-11-28T10:45:20Z","title_canon_sha256":"2f5c446cf18686fc29fa389663c50abb898bac05a8a3b68f58728d3ce8652e30"},"schema_version":"1.0","source":{"id":"2411.19048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.19048","created_at":"2026-07-05T12:01:55Z"},{"alias_kind":"arxiv_version","alias_value":"2411.19048v2","created_at":"2026-07-05T12:01:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.19048","created_at":"2026-07-05T12:01:55Z"},{"alias_kind":"pith_short_12","alias_value":"XEQ4LUIMLEYB","created_at":"2026-07-05T12:01:55Z"},{"alias_kind":"pith_short_16","alias_value":"XEQ4LUIMLEYBFQLN","created_at":"2026-07-05T12:01:55Z"},{"alias_kind":"pith_short_8","alias_value":"XEQ4LUIM","created_at":"2026-07-05T12:01:55Z"}],"graph_snapshots":[{"event_id":"sha256:da3f615b0c07afad8e0d69d02f30877d0270e8ed643ee6e861c2cfade743f7fc","target":"graph","created_at":"2026-07-05T12:01:55Z","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/2411.19048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, gravitational lensing in the weak and strong field limits is investigated for black hole spacetime within the framework of Hu-Sawicki $f(R)$ gravity. We employ the Ishihara et al. approach for weak lensing and adopt Bozza's method for strong lensing to explore the impact of Hu-Sawicki model parameters on lensing phenomenon. The deflection angles are computed and analyzed in both the field limits. Our investigation in the weak as well as the strong lensing reveals that in the case of Hu-Sawicki black holes, photons exhibit divergence at smaller impact parameters for different valu","authors_text":"Gayatri Mohan, Nashiba Parbin, Umananda Dev Goswami","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-11-28T10:45:20Z","title":"Investigating the effects of gravitational lensing by Hu-Sawicki $\\boldsymbol{f(R)}$ gravity black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.19048","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":"sha256:04486208a99aaac06e3998943288b1ad8e4246b3561336a33cfd496922bac089","target":"record","created_at":"2026-07-05T12:01:55Z","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":"d955b5c9bd3b96a1df5b3bcad56563b929e1d349550f3965d5e78c467aeb235a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-11-28T10:45:20Z","title_canon_sha256":"2f5c446cf18686fc29fa389663c50abb898bac05a8a3b68f58728d3ce8652e30"},"schema_version":"1.0","source":{"id":"2411.19048","kind":"arxiv","version":2}},"canonical_sha256":"b921c5d10c593012c16d80fcaf7073d2f22b8612ae548564c68406d77c985aca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b921c5d10c593012c16d80fcaf7073d2f22b8612ae548564c68406d77c985aca","first_computed_at":"2026-07-05T12:01:55.922613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:01:55.922613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ASLRAguVIcxm305meSFjjs1qEbDO+IK+ILOiqatHKxh3J5onlV6tjO7TxXzHrZuBzszmiZ8h5JZVKbgosFySAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T12:01:55.923118Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.19048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04486208a99aaac06e3998943288b1ad8e4246b3561336a33cfd496922bac089","sha256:da3f615b0c07afad8e0d69d02f30877d0270e8ed643ee6e861c2cfade743f7fc"],"state_sha256":"32a859eefea4e0ff92a15d769f00bf76e43676a2d081daa662d5d84b01e2cb0c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UkiSNncxdpF8miHz/h+Qw6KKoieRSw25/0NtIjb9gf69UwryBS0LaDZaIXcc36ltdk15LLUv3HZWi1mnJp0bBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T10:16:57.206862Z","bundle_sha256":"8522028342410ea8ed3280bbc35ca2b0d8dc838d096ab5344675202e96f4a6c0"}}