{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:NPR4S232GWX7SQFBGDF7AOG5KN","short_pith_number":"pith:NPR4S232","canonical_record":{"source":{"id":"1512.02262","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T21:57:21Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"a0b99f26b6a9d1cded3b7dda2ba5c0100ebf6a61c4af4acc83ce8a21b8358f46","abstract_canon_sha256":"2016712a1747db1ac14e78f8c49d5f372c0a089bd27095ffec4c80150ddf48bf"},"schema_version":"1.0"},"canonical_sha256":"6be3c96b7a35aff940a130cbf038dd537390637f1f1534ec07121833478ba239","source":{"kind":"arxiv","id":"1512.02262","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02262","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02262v1","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02262","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"pith_short_12","alias_value":"NPR4S232GWX7","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NPR4S232GWX7SQFB","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NPR4S232","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:NPR4S232GWX7SQFBGDF7AOG5KN","target":"record","payload":{"canonical_record":{"source":{"id":"1512.02262","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T21:57:21Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"a0b99f26b6a9d1cded3b7dda2ba5c0100ebf6a61c4af4acc83ce8a21b8358f46","abstract_canon_sha256":"2016712a1747db1ac14e78f8c49d5f372c0a089bd27095ffec4c80150ddf48bf"},"schema_version":"1.0"},"canonical_sha256":"6be3c96b7a35aff940a130cbf038dd537390637f1f1534ec07121833478ba239","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:42.562335Z","signature_b64":"XwM/56RaNRVdw9puOIMDbMl9T85uNgXHTSx9YJLuudXXhLvxmc6P5SkrSMANNAEqvM/AsVNbMoHJJFnyYiVcCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6be3c96b7a35aff940a130cbf038dd537390637f1f1534ec07121833478ba239","last_reissued_at":"2026-05-18T01:17:42.561653Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:42.561653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.02262","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JI+e4D1n/5mRBf4URrNRLv4eZ/7DFKfZXqyt+LdF/P5hpaV5dd6qeIdUy2XiZdeQRmRbHWNjMrC7sXUbNOT9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:49:57.859729Z"},"content_sha256":"10eecd221b91160c086493b3bbf9ae906474ac67c402fe92e9c52442ce7b3d9e","schema_version":"1.0","event_id":"sha256:10eecd221b91160c086493b3bbf9ae906474ac67c402fe92e9c52442ce7b3d9e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:NPR4S232GWX7SQFBGDF7AOG5KN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maxwell perturbations on Kerr-anti-de Sitter: quasinormal modes, superradiant instabilities and vector clouds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Carlos Herdeiro, Mengjie Wang","submitted_at":"2015-12-07T21:57:21Z","abstract_excerpt":"Scalar and gravitational perturbations on Kerr-anti-de Sitter (Kerr-AdS) black holes have been addressed in the literature and have been shown to exhibit a rich phenomenology. In this paper we complete the analysis of bosonic fields on this background by studying Maxwell perturbations, focusing on superradiant instabilities and vector clouds. For this purpose, we solve the Teukolsky equations numerically, imposing the boundary conditions we have proposed in\\cite{Wang:2015goa} for the radial Teukolsky equation. As found therein, two Robin boundary conditions can be imposed for Maxwell fields on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02262","kind":"arxiv","version":1},"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":"2026-05-18T01:17:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JzfMfdSCryq+QyVk606ZnVTuBOe8mvDE8lcwODf87Rams8OGLxP6vUhoCPzsuy1HJtGVKyVEis4Z7mq5YIf2Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:49:57.860083Z"},"content_sha256":"9d393bf505438bde899dad6afd2ebed370c210d5a723f247956e1230651ae15b","schema_version":"1.0","event_id":"sha256:9d393bf505438bde899dad6afd2ebed370c210d5a723f247956e1230651ae15b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NPR4S232GWX7SQFBGDF7AOG5KN/bundle.json","state_url":"https://pith.science/pith/NPR4S232GWX7SQFBGDF7AOG5KN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NPR4S232GWX7SQFBGDF7AOG5KN/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":"2026-06-01T19:49:57Z","links":{"resolver":"https://pith.science/pith/NPR4S232GWX7SQFBGDF7AOG5KN","bundle":"https://pith.science/pith/NPR4S232GWX7SQFBGDF7AOG5KN/bundle.json","state":"https://pith.science/pith/NPR4S232GWX7SQFBGDF7AOG5KN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NPR4S232GWX7SQFBGDF7AOG5KN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NPR4S232GWX7SQFBGDF7AOG5KN","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":"2016712a1747db1ac14e78f8c49d5f372c0a089bd27095ffec4c80150ddf48bf","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T21:57:21Z","title_canon_sha256":"a0b99f26b6a9d1cded3b7dda2ba5c0100ebf6a61c4af4acc83ce8a21b8358f46"},"schema_version":"1.0","source":{"id":"1512.02262","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02262","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02262v1","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02262","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"pith_short_12","alias_value":"NPR4S232GWX7","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"NPR4S232GWX7SQFB","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"NPR4S232","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:9d393bf505438bde899dad6afd2ebed370c210d5a723f247956e1230651ae15b","target":"graph","created_at":"2026-05-18T01:17:42Z","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":"Scalar and gravitational perturbations on Kerr-anti-de Sitter (Kerr-AdS) black holes have been addressed in the literature and have been shown to exhibit a rich phenomenology. In this paper we complete the analysis of bosonic fields on this background by studying Maxwell perturbations, focusing on superradiant instabilities and vector clouds. For this purpose, we solve the Teukolsky equations numerically, imposing the boundary conditions we have proposed in\\cite{Wang:2015goa} for the radial Teukolsky equation. As found therein, two Robin boundary conditions can be imposed for Maxwell fields on","authors_text":"Carlos Herdeiro, Mengjie Wang","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T21:57:21Z","title":"Maxwell perturbations on Kerr-anti-de Sitter: quasinormal modes, superradiant instabilities and vector clouds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02262","kind":"arxiv","version":1},"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":"sha256:10eecd221b91160c086493b3bbf9ae906474ac67c402fe92e9c52442ce7b3d9e","target":"record","created_at":"2026-05-18T01:17:42Z","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":"2016712a1747db1ac14e78f8c49d5f372c0a089bd27095ffec4c80150ddf48bf","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-07T21:57:21Z","title_canon_sha256":"a0b99f26b6a9d1cded3b7dda2ba5c0100ebf6a61c4af4acc83ce8a21b8358f46"},"schema_version":"1.0","source":{"id":"1512.02262","kind":"arxiv","version":1}},"canonical_sha256":"6be3c96b7a35aff940a130cbf038dd537390637f1f1534ec07121833478ba239","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6be3c96b7a35aff940a130cbf038dd537390637f1f1534ec07121833478ba239","first_computed_at":"2026-05-18T01:17:42.561653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:42.561653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XwM/56RaNRVdw9puOIMDbMl9T85uNgXHTSx9YJLuudXXhLvxmc6P5SkrSMANNAEqvM/AsVNbMoHJJFnyYiVcCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:42.562335Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.02262","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10eecd221b91160c086493b3bbf9ae906474ac67c402fe92e9c52442ce7b3d9e","sha256:9d393bf505438bde899dad6afd2ebed370c210d5a723f247956e1230651ae15b"],"state_sha256":"9aa13a4289dbe8fab9ad8b81b0d7a1bcbb18acdf1dfcad4362677cb8647ba268"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wQDJop9fWVGPfL8MZSF6PBq+m1dMkjiZqkoQP5pHmGQB3mQhnSh8eOrUFh6u0SpDWglTY8beHFsfGKhZ2AtoBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:49:57.862135Z","bundle_sha256":"a4179794ad71477b539fb56f45e5077a7df32dd58cf108d1f6880f59636c8eda"}}