{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:6JR7NDXKTAHX7Z5WNDM3WYJBHM","short_pith_number":"pith:6JR7NDXK","canonical_record":{"source":{"id":"1902.04411","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-02-10T01:57:04Z","cross_cats_sorted":[],"title_canon_sha256":"b284f8cc0d6243eeb10eb0ffd60710e7625a21707f0d65a1cb983aeaec254471","abstract_canon_sha256":"2871cef79bbe4b81ea26017a215c324374bbfa223cea85b8a6bbada98ac52a07"},"schema_version":"1.0"},"canonical_sha256":"f263f68eea980f7fe7b668d9bb61213b2b3ac0099faa91f4c209f90a45d3c1c1","source":{"kind":"arxiv","id":"1902.04411","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04411","created_at":"2026-05-17T23:44:55Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04411v3","created_at":"2026-05-17T23:44:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04411","created_at":"2026-05-17T23:44:55Z"},{"alias_kind":"pith_short_12","alias_value":"6JR7NDXKTAHX","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6JR7NDXKTAHX7Z5W","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6JR7NDXK","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:6JR7NDXKTAHX7Z5WNDM3WYJBHM","target":"record","payload":{"canonical_record":{"source":{"id":"1902.04411","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-02-10T01:57:04Z","cross_cats_sorted":[],"title_canon_sha256":"b284f8cc0d6243eeb10eb0ffd60710e7625a21707f0d65a1cb983aeaec254471","abstract_canon_sha256":"2871cef79bbe4b81ea26017a215c324374bbfa223cea85b8a6bbada98ac52a07"},"schema_version":"1.0"},"canonical_sha256":"f263f68eea980f7fe7b668d9bb61213b2b3ac0099faa91f4c209f90a45d3c1c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:55.341662Z","signature_b64":"0XLXuIU5ezya6hhGdLdU+nfbpj4WTu3VKMYmFMdT/mRPNTUOPuM/Q5u/FJd8XDTqIMDnZUzQ9Afqedmh/RO9Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f263f68eea980f7fe7b668d9bb61213b2b3ac0099faa91f4c209f90a45d3c1c1","last_reissued_at":"2026-05-17T23:44:55.341019Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:55.341019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.04411","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:44:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G/x9krFdCEu7J0cxW2JnV9NdHv0lnXla5WwC1gtjpIGj3DfgV6FcXouLxw4OR3AELRhEl5Kth7P6o0DSQfoKDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:29:36.742813Z"},"content_sha256":"e408e04a8a0d3922dc672e31b21710257c0c46e9251737b319d71df5194c6b08","schema_version":"1.0","event_id":"sha256:e408e04a8a0d3922dc672e31b21710257c0c46e9251737b319d71df5194c6b08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:6JR7NDXKTAHX7Z5WNDM3WYJBHM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. \\\"Ovg\\\"un","submitted_at":"2019-02-10T01:57:04Z","abstract_excerpt":"In this paper, we investigate light bending in the spacetime of regular black holes with cosmic strings in weak field limits. To do so, we apply the Gauss-Bonnet theorem to the optical geometry of the black hole; and, using the Gibbons-Werner method, we obtain the deflection angle of light in the weak field limits which shows that the bending of light is a global and topological effect. Afterwards, we demonstrate the effect of a plasma medium on the deflection of light by RBCS. We discuss that increasing cosmic string parameter $\\mu$ and mass $M_0$ will increase the bending angle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04411","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-17T23:44:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6o3wU0/52vjqgFbPt87yjBjKqYWp5yhp+RnB4RP4BpQmUVg/fV4FqQjfp/vTH7iS8rSPRth4xdsjdhMlJV2TBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T09:29:36.743164Z"},"content_sha256":"ea1dfeaf03cdfd3eaafc9b1d78ef2b2492b2bab4a5e23c338895bccd73def95e","schema_version":"1.0","event_id":"sha256:ea1dfeaf03cdfd3eaafc9b1d78ef2b2492b2bab4a5e23c338895bccd73def95e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6JR7NDXKTAHX7Z5WNDM3WYJBHM/bundle.json","state_url":"https://pith.science/pith/6JR7NDXKTAHX7Z5WNDM3WYJBHM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6JR7NDXKTAHX7Z5WNDM3WYJBHM/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":"2026-06-05T09:29:36Z","links":{"resolver":"https://pith.science/pith/6JR7NDXKTAHX7Z5WNDM3WYJBHM","bundle":"https://pith.science/pith/6JR7NDXKTAHX7Z5WNDM3WYJBHM/bundle.json","state":"https://pith.science/pith/6JR7NDXKTAHX7Z5WNDM3WYJBHM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6JR7NDXKTAHX7Z5WNDM3WYJBHM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6JR7NDXKTAHX7Z5WNDM3WYJBHM","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":"2871cef79bbe4b81ea26017a215c324374bbfa223cea85b8a6bbada98ac52a07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-02-10T01:57:04Z","title_canon_sha256":"b284f8cc0d6243eeb10eb0ffd60710e7625a21707f0d65a1cb983aeaec254471"},"schema_version":"1.0","source":{"id":"1902.04411","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04411","created_at":"2026-05-17T23:44:55Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04411v3","created_at":"2026-05-17T23:44:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04411","created_at":"2026-05-17T23:44:55Z"},{"alias_kind":"pith_short_12","alias_value":"6JR7NDXKTAHX","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6JR7NDXKTAHX7Z5W","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6JR7NDXK","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:ea1dfeaf03cdfd3eaafc9b1d78ef2b2492b2bab4a5e23c338895bccd73def95e","target":"graph","created_at":"2026-05-17T23:44:55Z","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"},"paper":{"abstract_excerpt":"In this paper, we investigate light bending in the spacetime of regular black holes with cosmic strings in weak field limits. To do so, we apply the Gauss-Bonnet theorem to the optical geometry of the black hole; and, using the Gibbons-Werner method, we obtain the deflection angle of light in the weak field limits which shows that the bending of light is a global and topological effect. Afterwards, we demonstrate the effect of a plasma medium on the deflection of light by RBCS. We discuss that increasing cosmic string parameter $\\mu$ and mass $M_0$ will increase the bending angle.","authors_text":"A. \\\"Ovg\\\"un","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-02-10T01:57:04Z","title":"Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04411","kind":"arxiv","version":3},"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:e408e04a8a0d3922dc672e31b21710257c0c46e9251737b319d71df5194c6b08","target":"record","created_at":"2026-05-17T23:44:55Z","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":"2871cef79bbe4b81ea26017a215c324374bbfa223cea85b8a6bbada98ac52a07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-02-10T01:57:04Z","title_canon_sha256":"b284f8cc0d6243eeb10eb0ffd60710e7625a21707f0d65a1cb983aeaec254471"},"schema_version":"1.0","source":{"id":"1902.04411","kind":"arxiv","version":3}},"canonical_sha256":"f263f68eea980f7fe7b668d9bb61213b2b3ac0099faa91f4c209f90a45d3c1c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f263f68eea980f7fe7b668d9bb61213b2b3ac0099faa91f4c209f90a45d3c1c1","first_computed_at":"2026-05-17T23:44:55.341019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:55.341019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0XLXuIU5ezya6hhGdLdU+nfbpj4WTu3VKMYmFMdT/mRPNTUOPuM/Q5u/FJd8XDTqIMDnZUzQ9Afqedmh/RO9Ag==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:55.341662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.04411","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e408e04a8a0d3922dc672e31b21710257c0c46e9251737b319d71df5194c6b08","sha256:ea1dfeaf03cdfd3eaafc9b1d78ef2b2492b2bab4a5e23c338895bccd73def95e"],"state_sha256":"57cce7c015fb7655968b3785aea0706579f276929a86eeaf5dfebd6129cacb40"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mG3fytB8BDndeIQvLs4c+3ivXtIk+I1nAC3EEX8abf+rOytnieQjtsWxHt8EnJ0dpyZYurbAblrwIycPMW0+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T09:29:36.745208Z","bundle_sha256":"e5bff4c4eca61ebf40299a15d49710a0254d12a0dd95ed10bbccbcc5ae992c60"}}