{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5QQ346ECJFQU64YRSX7MFOWUGK","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":"8f3cfad60394990921f9df0f83be0553124a89d30f02704f9ca4eee073d94e2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-04T10:54:39Z","title_canon_sha256":"f0f9c4d1545a419ef6086fceb67f814f221fde209da417f778ae204acafc7c84"},"schema_version":"1.0","source":{"id":"1502.01676","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.01676","created_at":"2026-05-18T01:29:46Z"},{"alias_kind":"arxiv_version","alias_value":"1502.01676v5","created_at":"2026-05-18T01:29:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.01676","created_at":"2026-05-18T01:29:46Z"},{"alias_kind":"pith_short_12","alias_value":"5QQ346ECJFQU","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5QQ346ECJFQU64YR","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5QQ346EC","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:695b5ccf26e7f9cd25756ca1805871b40b8ad204b1bfecf427a93c45fdf56ddb","target":"graph","created_at":"2026-05-18T01:29:46Z","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 investigate the gravitational lensing scenario due to Schwarzschild-like black hole surrounded by quintessence (Kiselev black hole). We work for the special case of Kiselev black hole where we take the state parameter $w_{q}=-\\frac{2}{3}$. For the detailed derivation and analysis of the bending angle involved in the deflection of light, we discuss three special cases of Kiselev black hole: non-extreme, extreme and naked singularity. We also calculate the approximate bending angle and compare it with exact bending angle. We found the relation of bending angles in the decreasing order as: nak","authors_text":"Azka Younas, Mubasher Jamil, Saqib Hussain, Sebastian Bahamonde","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-04T10:54:39Z","title":"Strong Gravitational Lensing by Kiselev Black Hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01676","kind":"arxiv","version":5},"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":"sha256:11f5fabee7519f528cf0f297e936f9c05e941b25a160b12ecf10947c5546472c","target":"record","created_at":"2026-05-18T01:29:46Z","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":"8f3cfad60394990921f9df0f83be0553124a89d30f02704f9ca4eee073d94e2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-04T10:54:39Z","title_canon_sha256":"f0f9c4d1545a419ef6086fceb67f814f221fde209da417f778ae204acafc7c84"},"schema_version":"1.0","source":{"id":"1502.01676","kind":"arxiv","version":5}},"canonical_sha256":"ec21be788249614f731195fec2bad432b013920980c034b0da83fb2e925e52e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec21be788249614f731195fec2bad432b013920980c034b0da83fb2e925e52e6","first_computed_at":"2026-05-18T01:29:46.548648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:46.548648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z/qhJlCiQfatLh2+LvGZGGjSEcf7beIIT317LpAkF5kl9OtwfaYn2nR5PWI/SwsGmAZ3k8Lt6DfhS8qGwFKQCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:46.549200Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.01676","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:11f5fabee7519f528cf0f297e936f9c05e941b25a160b12ecf10947c5546472c","sha256:695b5ccf26e7f9cd25756ca1805871b40b8ad204b1bfecf427a93c45fdf56ddb"],"state_sha256":"b393896fb747aec53a76971a517bd07f7aaf75de3fb8317e2fdd4f75a2bdcf1c"}