{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:JMOFGBFACSMLZCDOHJ2GRRQ76D","short_pith_number":"pith:JMOFGBFA","canonical_record":{"source":{"id":"2406.00265","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-01T02:07:20Z","cross_cats_sorted":[],"title_canon_sha256":"48c3c1af80b03650309c21af05f790d50e6bf571525109e4c38393bbf3cb6cfb","abstract_canon_sha256":"ba01fb4939e2ae6351e6e56a2a742a74e0d9396de886305cac800eaf2fa61af9"},"schema_version":"1.0"},"canonical_sha256":"4b1c5304a01498bc886e3a7468c61ff0e3e6ffa2e3072071275e13e104af9e7e","source":{"kind":"arxiv","id":"2406.00265","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00265","created_at":"2026-07-05T08:46:55Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00265v2","created_at":"2026-07-05T08:46:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00265","created_at":"2026-07-05T08:46:55Z"},{"alias_kind":"pith_short_12","alias_value":"JMOFGBFACSML","created_at":"2026-07-05T08:46:55Z"},{"alias_kind":"pith_short_16","alias_value":"JMOFGBFACSMLZCDO","created_at":"2026-07-05T08:46:55Z"},{"alias_kind":"pith_short_8","alias_value":"JMOFGBFA","created_at":"2026-07-05T08:46:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:JMOFGBFACSMLZCDOHJ2GRRQ76D","target":"record","payload":{"canonical_record":{"source":{"id":"2406.00265","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-01T02:07:20Z","cross_cats_sorted":[],"title_canon_sha256":"48c3c1af80b03650309c21af05f790d50e6bf571525109e4c38393bbf3cb6cfb","abstract_canon_sha256":"ba01fb4939e2ae6351e6e56a2a742a74e0d9396de886305cac800eaf2fa61af9"},"schema_version":"1.0"},"canonical_sha256":"4b1c5304a01498bc886e3a7468c61ff0e3e6ffa2e3072071275e13e104af9e7e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:46:55.225013Z","signature_b64":"HsUk7YxWB4X63sJPUs4ACr73RN5jmSHnZUG/HA+Ds/VjPg7gsE5KjTPqKG7nLqfIeqkWg7BIFZaDqioj+uD3BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b1c5304a01498bc886e3a7468c61ff0e3e6ffa2e3072071275e13e104af9e7e","last_reissued_at":"2026-07-05T08:46:55.224471Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:46:55.224471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.00265","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:46:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SMMVtRE1T3MBa7Mjk8rlQPxDmCBbTlQ0bIBmVrzmAhMAhELYnglUm3q4m8/ujYRuR1a00qH9P+p9FWzZXdLVDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:47:31.069570Z"},"content_sha256":"0b1018435423d6d2fa84efca13cba3fd48c2b7e9f1c6f0e1094eab18ad22de51","schema_version":"1.0","event_id":"sha256:0b1018435423d6d2fa84efca13cba3fd48c2b7e9f1c6f0e1094eab18ad22de51"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:JMOFGBFACSMLZCDOHJ2GRRQ76D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shadows, Quasinormal Modes, and Optical Appearances of Black Holes in Horndeski Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hao Yu, Jin Li, Ke-Jian He, Zhi Luo","submitted_at":"2024-06-01T02:07:20Z","abstract_excerpt":"This work describes the motion of photons in black hole (BH) spacetimes within the framework of Horndeski theory. We focus on the shadows, quasinormal modes (QNMs) and optical appearances of BHs surrounded by geometrically thin accretion disks. The QNMs of BHs are calculated by the WKB method and the eikonal limit, respectively. Using Event Horizon Telescope (EHT) observations of $\\mathrm{M} 87^*$ and $\\mathrm{Sgr} \\mathrm{A}^*$, we can constrain the parameter in Horndeski theory to a small range. Based on the constraint, we obtain the frequency ranges of the fundamental modes for $\\mathrm{M} "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00265","kind":"arxiv","version":2},"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/2406.00265/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:46:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GHfJRZ8ASGn27hDmZLRNaBxMYdQSf8S7vNKDPL7aAph2saJDjYWcU9yYAzV4zcBjtHs2UAUHcZaWzXZaBE/GBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:47:31.070085Z"},"content_sha256":"62524f04a913f0a52f539fb07ef817f8b67ad3ddcba62fefce82323e1f5bdb43","schema_version":"1.0","event_id":"sha256:62524f04a913f0a52f539fb07ef817f8b67ad3ddcba62fefce82323e1f5bdb43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JMOFGBFACSMLZCDOHJ2GRRQ76D/bundle.json","state_url":"https://pith.science/pith/JMOFGBFACSMLZCDOHJ2GRRQ76D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JMOFGBFACSMLZCDOHJ2GRRQ76D/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":"2026-08-09T19:47:31Z","links":{"resolver":"https://pith.science/pith/JMOFGBFACSMLZCDOHJ2GRRQ76D","bundle":"https://pith.science/pith/JMOFGBFACSMLZCDOHJ2GRRQ76D/bundle.json","state":"https://pith.science/pith/JMOFGBFACSMLZCDOHJ2GRRQ76D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JMOFGBFACSMLZCDOHJ2GRRQ76D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:JMOFGBFACSMLZCDOHJ2GRRQ76D","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":"ba01fb4939e2ae6351e6e56a2a742a74e0d9396de886305cac800eaf2fa61af9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-01T02:07:20Z","title_canon_sha256":"48c3c1af80b03650309c21af05f790d50e6bf571525109e4c38393bbf3cb6cfb"},"schema_version":"1.0","source":{"id":"2406.00265","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00265","created_at":"2026-07-05T08:46:55Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00265v2","created_at":"2026-07-05T08:46:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00265","created_at":"2026-07-05T08:46:55Z"},{"alias_kind":"pith_short_12","alias_value":"JMOFGBFACSML","created_at":"2026-07-05T08:46:55Z"},{"alias_kind":"pith_short_16","alias_value":"JMOFGBFACSMLZCDO","created_at":"2026-07-05T08:46:55Z"},{"alias_kind":"pith_short_8","alias_value":"JMOFGBFA","created_at":"2026-07-05T08:46:55Z"}],"graph_snapshots":[{"event_id":"sha256:62524f04a913f0a52f539fb07ef817f8b67ad3ddcba62fefce82323e1f5bdb43","target":"graph","created_at":"2026-07-05T08:46:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2406.00265/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work describes the motion of photons in black hole (BH) spacetimes within the framework of Horndeski theory. We focus on the shadows, quasinormal modes (QNMs) and optical appearances of BHs surrounded by geometrically thin accretion disks. The QNMs of BHs are calculated by the WKB method and the eikonal limit, respectively. Using Event Horizon Telescope (EHT) observations of $\\mathrm{M} 87^*$ and $\\mathrm{Sgr} \\mathrm{A}^*$, we can constrain the parameter in Horndeski theory to a small range. Based on the constraint, we obtain the frequency ranges of the fundamental modes for $\\mathrm{M} ","authors_text":"Hao Yu, 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":"2024-06-01T02:07:20Z","title":"Shadows, Quasinormal Modes, and Optical Appearances of Black Holes in Horndeski Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00265","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":"sha256:0b1018435423d6d2fa84efca13cba3fd48c2b7e9f1c6f0e1094eab18ad22de51","target":"record","created_at":"2026-07-05T08:46:55Z","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":"ba01fb4939e2ae6351e6e56a2a742a74e0d9396de886305cac800eaf2fa61af9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-01T02:07:20Z","title_canon_sha256":"48c3c1af80b03650309c21af05f790d50e6bf571525109e4c38393bbf3cb6cfb"},"schema_version":"1.0","source":{"id":"2406.00265","kind":"arxiv","version":2}},"canonical_sha256":"4b1c5304a01498bc886e3a7468c61ff0e3e6ffa2e3072071275e13e104af9e7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b1c5304a01498bc886e3a7468c61ff0e3e6ffa2e3072071275e13e104af9e7e","first_computed_at":"2026-07-05T08:46:55.224471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:46:55.224471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HsUk7YxWB4X63sJPUs4ACr73RN5jmSHnZUG/HA+Ds/VjPg7gsE5KjTPqKG7nLqfIeqkWg7BIFZaDqioj+uD3BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:46:55.225013Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.00265","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b1018435423d6d2fa84efca13cba3fd48c2b7e9f1c6f0e1094eab18ad22de51","sha256:62524f04a913f0a52f539fb07ef817f8b67ad3ddcba62fefce82323e1f5bdb43"],"state_sha256":"d676826bc12f449a2c9a8afe74d6e80184ba409ecc3db7043b6b881d089e8eb1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GMN2J1valnRJXe887oUX5VbFG58Fa47QWLENa0QSBFPk9mvu9IEUreWuVjGQbVET03lzm7avda0B1sOa9ddRBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T19:47:31.073956Z","bundle_sha256":"bc815a1c85de15da453359029f7ee1da7a6503995938cd82d2421c5c263e199f"}}