{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DSGXAGENNA6K5FHAPBJIWPEU4E","short_pith_number":"pith:DSGXAGEN","canonical_record":{"source":{"id":"1612.07279","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-21T19:15:50Z","cross_cats_sorted":[],"title_canon_sha256":"1e33a95a502476ad60e24bd91cf957426934b1a85681754b7020fde8b5ceeca0","abstract_canon_sha256":"8b28d4d8b05c0318eee91299b6962aec149775f5db990a75a9697957effcfda1"},"schema_version":"1.0"},"canonical_sha256":"1c8d70188d683cae94e078528b3c94e1125ac8d5b8b36e424527cc094ef44bbb","source":{"kind":"arxiv","id":"1612.07279","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07279","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07279v4","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07279","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"DSGXAGENNA6K","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DSGXAGENNA6K5FHA","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DSGXAGEN","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DSGXAGENNA6K5FHAPBJIWPEU4E","target":"record","payload":{"canonical_record":{"source":{"id":"1612.07279","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-21T19:15:50Z","cross_cats_sorted":[],"title_canon_sha256":"1e33a95a502476ad60e24bd91cf957426934b1a85681754b7020fde8b5ceeca0","abstract_canon_sha256":"8b28d4d8b05c0318eee91299b6962aec149775f5db990a75a9697957effcfda1"},"schema_version":"1.0"},"canonical_sha256":"1c8d70188d683cae94e078528b3c94e1125ac8d5b8b36e424527cc094ef44bbb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:03.075840Z","signature_b64":"u0yYRriKQZf266pMiWw23K/w5OIidO3AqjblmWlvmrmMSYO9FTm2ifeOW2KgzRZR/jzRiPa2NUionuFJ3brjAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c8d70188d683cae94e078528b3c94e1125ac8d5b8b36e424527cc094ef44bbb","last_reissued_at":"2026-05-17T23:53:03.075180Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:03.075180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.07279","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PYGQX0ksC1Q6SMjpf2sxwHdT2JavZRDc2yfW+o2O2oUZ0fV7AFmbghHZSLe/AypeJCHMoKtWZT2kGmTTUWv8AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T07:30:36.856955Z"},"content_sha256":"2026353eb1a02ab67115a5ab30ac47243eb7c3c06bea5e7a4cbc5bfb2941122c","schema_version":"1.0","event_id":"sha256:2026353eb1a02ab67115a5ab30ac47243eb7c3c06bea5e7a4cbc5bfb2941122c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DSGXAGENNA6K5FHAPBJIWPEU4E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Studying Gravitational Deflection of Light by Kiselev Black Hole via Homotopy Perturbation Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"D.N. Bezbatko, V.K. Shchigolev","submitted_at":"2016-12-21T19:15:50Z","abstract_excerpt":"In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the gravitational deflection of light in General Relativity near Schwarzschild black hole surrounded by quintessence (Kiselev black hole). In order to demonstrate that HPM is able to yield acceptable solutions for the null-geodesics with easily computable terms, the HPM is tested for the simple examples of spherically symmetric spacetimes such as Schwarzschild and Reissner-Nordstr\\\"{o}m black holes. After that, the null-geodesics of light passing the vicinity of Kiselev black hole ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07279","kind":"arxiv","version":4},"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":"2026-05-17T23:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ThnRthGS4j643qRmbMsQ60+lEFuwSd2xQkEH9KXff2+k670U3ySP33pUf8Gjhxb0bXjHWOPeeLG5/GDe88MrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T07:30:36.857810Z"},"content_sha256":"c1eaa61e9d97657016644d0eae9967b0d7563697c5af6cf591e3adaad0bf6922","schema_version":"1.0","event_id":"sha256:c1eaa61e9d97657016644d0eae9967b0d7563697c5af6cf591e3adaad0bf6922"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DSGXAGENNA6K5FHAPBJIWPEU4E/bundle.json","state_url":"https://pith.science/pith/DSGXAGENNA6K5FHAPBJIWPEU4E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DSGXAGENNA6K5FHAPBJIWPEU4E/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":"2026-08-10T07:30:36Z","links":{"resolver":"https://pith.science/pith/DSGXAGENNA6K5FHAPBJIWPEU4E","bundle":"https://pith.science/pith/DSGXAGENNA6K5FHAPBJIWPEU4E/bundle.json","state":"https://pith.science/pith/DSGXAGENNA6K5FHAPBJIWPEU4E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DSGXAGENNA6K5FHAPBJIWPEU4E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DSGXAGENNA6K5FHAPBJIWPEU4E","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":"8b28d4d8b05c0318eee91299b6962aec149775f5db990a75a9697957effcfda1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-21T19:15:50Z","title_canon_sha256":"1e33a95a502476ad60e24bd91cf957426934b1a85681754b7020fde8b5ceeca0"},"schema_version":"1.0","source":{"id":"1612.07279","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07279","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07279v4","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07279","created_at":"2026-05-17T23:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"DSGXAGENNA6K","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DSGXAGENNA6K5FHA","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DSGXAGEN","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:c1eaa61e9d97657016644d0eae9967b0d7563697c5af6cf591e3adaad0bf6922","target":"graph","created_at":"2026-05-17T23:53:03Z","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, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the gravitational deflection of light in General Relativity near Schwarzschild black hole surrounded by quintessence (Kiselev black hole). In order to demonstrate that HPM is able to yield acceptable solutions for the null-geodesics with easily computable terms, the HPM is tested for the simple examples of spherically symmetric spacetimes such as Schwarzschild and Reissner-Nordstr\\\"{o}m black holes. After that, the null-geodesics of light passing the vicinity of Kiselev black hole ar","authors_text":"D.N. Bezbatko, V.K. Shchigolev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-21T19:15:50Z","title":"Studying Gravitational Deflection of Light by Kiselev Black Hole via Homotopy Perturbation Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07279","kind":"arxiv","version":4},"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":"sha256:2026353eb1a02ab67115a5ab30ac47243eb7c3c06bea5e7a4cbc5bfb2941122c","target":"record","created_at":"2026-05-17T23:53:03Z","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":"8b28d4d8b05c0318eee91299b6962aec149775f5db990a75a9697957effcfda1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-21T19:15:50Z","title_canon_sha256":"1e33a95a502476ad60e24bd91cf957426934b1a85681754b7020fde8b5ceeca0"},"schema_version":"1.0","source":{"id":"1612.07279","kind":"arxiv","version":4}},"canonical_sha256":"1c8d70188d683cae94e078528b3c94e1125ac8d5b8b36e424527cc094ef44bbb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c8d70188d683cae94e078528b3c94e1125ac8d5b8b36e424527cc094ef44bbb","first_computed_at":"2026-05-17T23:53:03.075180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:03.075180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u0yYRriKQZf266pMiWw23K/w5OIidO3AqjblmWlvmrmMSYO9FTm2ifeOW2KgzRZR/jzRiPa2NUionuFJ3brjAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:03.075840Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.07279","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2026353eb1a02ab67115a5ab30ac47243eb7c3c06bea5e7a4cbc5bfb2941122c","sha256:c1eaa61e9d97657016644d0eae9967b0d7563697c5af6cf591e3adaad0bf6922"],"state_sha256":"87e552b03f88558df85d64c4ba92dc5048dd7416cec4029035fc10368a544578"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+tNvKHMfp4dOopP0Y6ybPDPoAeUd80rATEdTgsiA0DlSDJQt+yVePaRoC5bRuliLZjHAQcI+01xBR1dvpOxdAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T07:30:36.867863Z","bundle_sha256":"31b0c4be11adef7970e0273d70a336a0b618ce3044d123d22797eaac40115164"}}