{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LQ2DW7BYUPHPWCC2E5SBC572HW","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":"d894cc812355ace8b443134d51d3abcbae7f87214c628ca10608c4a03b76bc4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-18T11:30:31Z","title_canon_sha256":"bcbb9180b416f27b9799267cd3e7ff08152ec57cdaf6a3f77b94cb0326c0fb25"},"schema_version":"1.0","source":{"id":"2409.11885","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.11885","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"arxiv_version","alias_value":"2409.11885v2","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.11885","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"pith_short_12","alias_value":"LQ2DW7BYUPHP","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"pith_short_16","alias_value":"LQ2DW7BYUPHPWCC2","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"pith_short_8","alias_value":"LQ2DW7BY","created_at":"2026-07-05T09:08:49Z"}],"graph_snapshots":[{"event_id":"sha256:548e218b816a5890a7a2db4136ed8928920ed019b5992c91c3011cdd43fb184f","target":"graph","created_at":"2026-07-05T09:08:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2409.11885/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"By utilizing the AdS/CFT correspondence and wave optics techniques, we conducted an extensive study of the imaging properties of holographic Einstein rings in the context of Anti-de Sitter (AdS) black holes (BHs) in Horndeski theory. Our results indicate that the optical characteristics of these holographic Einstein rings are significantly influenced by the observer's position, the physical parameters of the BH, the nature of the wave source, and the configuration of the optical system. Specifically, when the observer is positioned at the north pole of the AdS boundary, the holographic image p","authors_text":"Jin Li, Ke-Jian He, Zhi Luo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-18T11:30:31Z","title":"Holographic Einstein Rings of AdS Black Holes in Horndeski Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.11885","kind":"arxiv","version":2},"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":"sha256:5526a258be1ea10d870713ccda418e95700d003ca262772c3a3a8f5c93c77b44","target":"record","created_at":"2026-07-05T09:08:49Z","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":"d894cc812355ace8b443134d51d3abcbae7f87214c628ca10608c4a03b76bc4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-18T11:30:31Z","title_canon_sha256":"bcbb9180b416f27b9799267cd3e7ff08152ec57cdaf6a3f77b94cb0326c0fb25"},"schema_version":"1.0","source":{"id":"2409.11885","kind":"arxiv","version":2}},"canonical_sha256":"5c343b7c38a3cefb085a27641177fa3d9632aafea4c81950eaca384883d2008c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c343b7c38a3cefb085a27641177fa3d9632aafea4c81950eaca384883d2008c","first_computed_at":"2026-07-05T09:08:49.739965Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:08:49.739965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"br9VqaaFgFhyutQ6ZebQwFKTekZU+WQHg+2i4l6Ts/OKQDpwN62gy210PelRrIkF4VoSBcg+vdyc9xC9baC4Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:08:49.740500Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.11885","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5526a258be1ea10d870713ccda418e95700d003ca262772c3a3a8f5c93c77b44","sha256:548e218b816a5890a7a2db4136ed8928920ed019b5992c91c3011cdd43fb184f"],"state_sha256":"bfedfe224978a2c9eae503ae7ddcad15134787a59fec537f9675e1b6283fa367"}