{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:M2YDDDXC2NFPCUR2A5Z7SSN3FD","short_pith_number":"pith:M2YDDDXC","schema_version":"1.0","canonical_sha256":"66b0318ee2d34af1523a0773f949bb28d97403624f8f1ec3728785986112d3c2","source":{"kind":"arxiv","id":"1910.02030","version":3},"attestation_state":"computed","paper":{"title":"Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Emanuel Gallo, Gabriel Crisnejo, Kimet Jusufi","submitted_at":"2019-10-04T16:48:07Z","abstract_excerpt":"The purpose of this article is twofold. First, we extend the results presented in [Gabriel Crisnejo and Emanuel Gallo, Phys.Rev.D 97, 124016 (2018)] to stationary spacetimes. Specifically, we show that the Gauss-Bonnet theorem can be applied to describe the deflection angle of light rays in plasma media in stationary spacetimes. Second, by using a correspondence between the motion of light rays in a cold non magnetized plasma and relativistic test massive particles we show that this technique is not only powerful to obtain the leading order behavior of the deflection angle of massive/massless "},"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":"1910.02030","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-10-04T16:48:07Z","cross_cats_sorted":[],"title_canon_sha256":"c8078ff6d6e2885501958c71ee54cd6e47ee86c1a51274c74e5921cb4d39559c","abstract_canon_sha256":"1d5f0a0181757a7e413aa281e43a31a54f26c60bec97f9ee5e5b29986e8f4125"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:22:04.915535Z","signature_b64":"6g1L0B3rexSByzYMeB65VioN57VAb1i+bL+jL1zajXPstgpJeb1PsXFCiWu9Cn8Xr7rBxBwBYn6PHH+EaMt5Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66b0318ee2d34af1523a0773f949bb28d97403624f8f1ec3728785986112d3c2","last_reissued_at":"2026-07-05T00:22:04.915028Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:22:04.915028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Emanuel Gallo, Gabriel Crisnejo, Kimet Jusufi","submitted_at":"2019-10-04T16:48:07Z","abstract_excerpt":"The purpose of this article is twofold. First, we extend the results presented in [Gabriel Crisnejo and Emanuel Gallo, Phys.Rev.D 97, 124016 (2018)] to stationary spacetimes. Specifically, we show that the Gauss-Bonnet theorem can be applied to describe the deflection angle of light rays in plasma media in stationary spacetimes. Second, by using a correspondence between the motion of light rays in a cold non magnetized plasma and relativistic test massive particles we show that this technique is not only powerful to obtain the leading order behavior of the deflection angle of massive/massless "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.02030","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1910.02030/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":"1910.02030","created_at":"2026-07-05T00:22:04.915088+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.02030v3","created_at":"2026-07-05T00:22:04.915088+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.02030","created_at":"2026-07-05T00:22:04.915088+00:00"},{"alias_kind":"pith_short_12","alias_value":"M2YDDDXC2NFP","created_at":"2026-07-05T00:22:04.915088+00:00"},{"alias_kind":"pith_short_16","alias_value":"M2YDDDXC2NFPCUR2","created_at":"2026-07-05T00:22:04.915088+00:00"},{"alias_kind":"pith_short_8","alias_value":"M2YDDDXC","created_at":"2026-07-05T00:22:04.915088+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2512.06051","citing_title":"Investigating the interplay of the braneworld gravity and the plasma environment on the black hole shadow","ref_index":43,"is_internal_anchor":false},{"citing_arxiv_id":"2604.13223","citing_title":"Observational constraints on nonlocal black holes via gravitational lensing","ref_index":63,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M2YDDDXC2NFPCUR2A5Z7SSN3FD","json":"https://pith.science/pith/M2YDDDXC2NFPCUR2A5Z7SSN3FD.json","graph_json":"https://pith.science/api/pith-number/M2YDDDXC2NFPCUR2A5Z7SSN3FD/graph.json","events_json":"https://pith.science/api/pith-number/M2YDDDXC2NFPCUR2A5Z7SSN3FD/events.json","paper":"https://pith.science/paper/M2YDDDXC"},"agent_actions":{"view_html":"https://pith.science/pith/M2YDDDXC2NFPCUR2A5Z7SSN3FD","download_json":"https://pith.science/pith/M2YDDDXC2NFPCUR2A5Z7SSN3FD.json","view_paper":"https://pith.science/paper/M2YDDDXC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.02030&json=true","fetch_graph":"https://pith.science/api/pith-number/M2YDDDXC2NFPCUR2A5Z7SSN3FD/graph.json","fetch_events":"https://pith.science/api/pith-number/M2YDDDXC2NFPCUR2A5Z7SSN3FD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M2YDDDXC2NFPCUR2A5Z7SSN3FD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M2YDDDXC2NFPCUR2A5Z7SSN3FD/action/storage_attestation","attest_author":"https://pith.science/pith/M2YDDDXC2NFPCUR2A5Z7SSN3FD/action/author_attestation","sign_citation":"https://pith.science/pith/M2YDDDXC2NFPCUR2A5Z7SSN3FD/action/citation_signature","submit_replication":"https://pith.science/pith/M2YDDDXC2NFPCUR2A5Z7SSN3FD/action/replication_record"}},"created_at":"2026-07-05T00:22:04.915088+00:00","updated_at":"2026-07-05T00:22:04.915088+00:00"}