{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:F2P3SZIZOGY7TDTRAXTR6DKDA4","short_pith_number":"pith:F2P3SZIZ","canonical_record":{"source":{"id":"1804.05004","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-12T01:15:59Z","cross_cats_sorted":[],"title_canon_sha256":"e24f11f483aead72086aea33f5da8561bbe457b79d7c2071c63fa97dbf204cc3","abstract_canon_sha256":"2c52627dc18419265582136b450caec8075a5e0e994ef4254a97790903169f59"},"schema_version":"1.0"},"canonical_sha256":"2e9fb9651971b1f98e7105e71f0d430738454efc5f31044ca6dee38696d4d340","source":{"kind":"arxiv","id":"1804.05004","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05004","created_at":"2026-05-17T23:59:27Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05004v3","created_at":"2026-05-17T23:59:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05004","created_at":"2026-05-17T23:59:27Z"},{"alias_kind":"pith_short_12","alias_value":"F2P3SZIZOGY7","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"F2P3SZIZOGY7TDTR","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"F2P3SZIZ","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:F2P3SZIZOGY7TDTRAXTR6DKDA4","target":"record","payload":{"canonical_record":{"source":{"id":"1804.05004","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-12T01:15:59Z","cross_cats_sorted":[],"title_canon_sha256":"e24f11f483aead72086aea33f5da8561bbe457b79d7c2071c63fa97dbf204cc3","abstract_canon_sha256":"2c52627dc18419265582136b450caec8075a5e0e994ef4254a97790903169f59"},"schema_version":"1.0"},"canonical_sha256":"2e9fb9651971b1f98e7105e71f0d430738454efc5f31044ca6dee38696d4d340","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:27.882153Z","signature_b64":"nfSAODMAwWZgFxRpy8kiwDL/nQ+Z3kUGejx1dJR03JjM2BlCciBMUaljoI+sA+xaDAvRob0KzKpHiMFzaW3TAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e9fb9651971b1f98e7105e71f0d430738454efc5f31044ca6dee38696d4d340","last_reissued_at":"2026-05-17T23:59:27.881721Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:27.881721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.05004","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":"2026-05-17T23:59:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MLzBfrGgNds8sHAiIloWWFLTDy3VzYODkD+2ZmaSyegbZi1Tf/UljaxfzA+9EqcRp3+VEDQa1nZ4yX153pXEBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:16:42.697950Z"},"content_sha256":"a61373cbb3803cd483ba751caed00cd077fb2ef7ad3256d41f16201392361649","schema_version":"1.0","event_id":"sha256:a61373cbb3803cd483ba751caed00cd077fb2ef7ad3256d41f16201392361649"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:F2P3SZIZOGY7TDTRAXTR6DKDA4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama gravity and gravitational lensing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jiliang Jing, Lu Zhang, Songbai Chen","submitted_at":"2018-04-12T01:15:59Z","abstract_excerpt":"We firstly present a new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity and then investigate the propagation of photon in this background. This solution possesses three independent parameters which affect sharply photon sphere, deflection angle of light ray and gravitational lensing. Since the condition of existence of horizons is not inconsistent with that of photon sphere, there exists a special case where there is horizon but no photon sphere in this spacetime. Especially, we find that in this special case, the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05004","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":"2026-05-17T23:59:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rzoxm1JZg1U9hd0iYHCIC/jC1cWsqhqk+ctjvKtTPH9nKW2bHwf9Qt+U4VPo6tqjVH7EiK4JKg49Pl0BC3YKDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:16:42.698292Z"},"content_sha256":"544a141dfc1492d22b7cacfa5636cf84aad540712d68be76787c46a86183256f","schema_version":"1.0","event_id":"sha256:544a141dfc1492d22b7cacfa5636cf84aad540712d68be76787c46a86183256f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F2P3SZIZOGY7TDTRAXTR6DKDA4/bundle.json","state_url":"https://pith.science/pith/F2P3SZIZOGY7TDTRAXTR6DKDA4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F2P3SZIZOGY7TDTRAXTR6DKDA4/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":"2026-05-30T14:16:42Z","links":{"resolver":"https://pith.science/pith/F2P3SZIZOGY7TDTRAXTR6DKDA4","bundle":"https://pith.science/pith/F2P3SZIZOGY7TDTRAXTR6DKDA4/bundle.json","state":"https://pith.science/pith/F2P3SZIZOGY7TDTRAXTR6DKDA4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F2P3SZIZOGY7TDTRAXTR6DKDA4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:F2P3SZIZOGY7TDTRAXTR6DKDA4","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":"2c52627dc18419265582136b450caec8075a5e0e994ef4254a97790903169f59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-12T01:15:59Z","title_canon_sha256":"e24f11f483aead72086aea33f5da8561bbe457b79d7c2071c63fa97dbf204cc3"},"schema_version":"1.0","source":{"id":"1804.05004","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05004","created_at":"2026-05-17T23:59:27Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05004v3","created_at":"2026-05-17T23:59:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05004","created_at":"2026-05-17T23:59:27Z"},{"alias_kind":"pith_short_12","alias_value":"F2P3SZIZOGY7","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"F2P3SZIZOGY7TDTR","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"F2P3SZIZ","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:544a141dfc1492d22b7cacfa5636cf84aad540712d68be76787c46a86183256f","target":"graph","created_at":"2026-05-17T23:59:27Z","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 firstly present a new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity and then investigate the propagation of photon in this background. This solution possesses three independent parameters which affect sharply photon sphere, deflection angle of light ray and gravitational lensing. Since the condition of existence of horizons is not inconsistent with that of photon sphere, there exists a special case where there is horizon but no photon sphere in this spacetime. Especially, we find that in this special case, the ","authors_text":"Jiliang Jing, Lu Zhang, Songbai Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-12T01:15:59Z","title":"A new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama gravity and gravitational lensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05004","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:a61373cbb3803cd483ba751caed00cd077fb2ef7ad3256d41f16201392361649","target":"record","created_at":"2026-05-17T23:59:27Z","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":"2c52627dc18419265582136b450caec8075a5e0e994ef4254a97790903169f59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-12T01:15:59Z","title_canon_sha256":"e24f11f483aead72086aea33f5da8561bbe457b79d7c2071c63fa97dbf204cc3"},"schema_version":"1.0","source":{"id":"1804.05004","kind":"arxiv","version":3}},"canonical_sha256":"2e9fb9651971b1f98e7105e71f0d430738454efc5f31044ca6dee38696d4d340","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e9fb9651971b1f98e7105e71f0d430738454efc5f31044ca6dee38696d4d340","first_computed_at":"2026-05-17T23:59:27.881721Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:27.881721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nfSAODMAwWZgFxRpy8kiwDL/nQ+Z3kUGejx1dJR03JjM2BlCciBMUaljoI+sA+xaDAvRob0KzKpHiMFzaW3TAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:27.882153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.05004","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a61373cbb3803cd483ba751caed00cd077fb2ef7ad3256d41f16201392361649","sha256:544a141dfc1492d22b7cacfa5636cf84aad540712d68be76787c46a86183256f"],"state_sha256":"a2aaa11e5418c0c520dda27093409cf237d1ca96dbfd820a0eb54519fefa2b62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7m5OlQhITkDHD2Vcr0u+mcXvg57sfAHClQH+uWAmACHZdto3PgjwgUV8NGLFIE4WemRS3KXu8FBccQDN8/cHBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T14:16:42.700206Z","bundle_sha256":"095bfe96a178fab12cb239e8865c53a76d9dbf5611559c085a0334c56a2ffd30"}}