{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:XDPCDAJ7MDRZ5PPBUWLNY6KIKV","short_pith_number":"pith:XDPCDAJ7","canonical_record":{"source":{"id":"2212.08112","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-15T19:56:27Z","cross_cats_sorted":[],"title_canon_sha256":"12d2ef6067d27791d937955b3f28552a82f35054c8d47c9ea5f2d823aec0e049","abstract_canon_sha256":"d8b3c8681d82039d045289b0eadfea366b83f2073a980f24fcbc0f2e2b53be9a"},"schema_version":"1.0"},"canonical_sha256":"b8de21813f60e39ebde1a596dc79485550ed72a8f2e77d9f2429c29892b4b0d7","source":{"kind":"arxiv","id":"2212.08112","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.08112","created_at":"2026-07-05T06:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"2212.08112v2","created_at":"2026-07-05T06:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.08112","created_at":"2026-07-05T06:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"XDPCDAJ7MDRZ","created_at":"2026-07-05T06:04:05Z"},{"alias_kind":"pith_short_16","alias_value":"XDPCDAJ7MDRZ5PPB","created_at":"2026-07-05T06:04:05Z"},{"alias_kind":"pith_short_8","alias_value":"XDPCDAJ7","created_at":"2026-07-05T06:04:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:XDPCDAJ7MDRZ5PPBUWLNY6KIKV","target":"record","payload":{"canonical_record":{"source":{"id":"2212.08112","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-15T19:56:27Z","cross_cats_sorted":[],"title_canon_sha256":"12d2ef6067d27791d937955b3f28552a82f35054c8d47c9ea5f2d823aec0e049","abstract_canon_sha256":"d8b3c8681d82039d045289b0eadfea366b83f2073a980f24fcbc0f2e2b53be9a"},"schema_version":"1.0"},"canonical_sha256":"b8de21813f60e39ebde1a596dc79485550ed72a8f2e77d9f2429c29892b4b0d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:04:05.011966Z","signature_b64":"00xEMLKBcvksbjYg91sEPPQqQblfBtIuknYsX/SetpuukkJaN2RTNDkzvXdTf/lLlBb3jr/MGJqBvCK8zdJGCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8de21813f60e39ebde1a596dc79485550ed72a8f2e77d9f2429c29892b4b0d7","last_reissued_at":"2026-07-05T06:04:05.011549Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:04:05.011549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.08112","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":"2026-07-05T06:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LXY/vJ46d6OaLuZUjO7EiEQ4R+VavQDkEOw80WWfRCvRBmwVkVuvEDeTDBYQbs6vy0WpwnmfbgxMDzJJUWKmAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T00:01:06.721930Z"},"content_sha256":"87c697adb718b098555b98ee7eabefc4c3f59be6a3ea5413653cd176346c7dfa","schema_version":"1.0","event_id":"sha256:87c697adb718b098555b98ee7eabefc4c3f59be6a3ea5413653cd176346c7dfa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:XDPCDAJ7MDRZ5PPBUWLNY6KIKV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Superradiance and quasinormal modes of the gravitational perturbation around rotating hairy black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Zhen Li","submitted_at":"2022-12-15T19:56:27Z","abstract_excerpt":"The No Hair theorem in classical general relativity predicts that rotating black holes are specified by the Kerr metric, which is uniquely identified by the mass and spin. However, as a pioneering study beyond general relativity, the rotating hairy black hole has been proposed, which encompasses the Kerr black hole as a special case. In these black holes, there are extra hair which could appear due to the additional surrounding sources such as dark matter or dark energy. In this work, we study the phenomenology of the rotating hairy black hole in terms of gravitational perturbations. In partic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.08112","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/2212.08112/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":"2026-07-05T06:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Su0cStcl3Onge8P+c9xkhq2JjnYjFAZTfDB5vb6nhkPHpZmZ2zCuCZzCWFxA5eyCdFmT2j7rogaGifovbE9VDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T00:01:06.722998Z"},"content_sha256":"2f229040f2e64a7d1ae6ffb548530c81e5786a7a24466d6972abf0f59db9931c","schema_version":"1.0","event_id":"sha256:2f229040f2e64a7d1ae6ffb548530c81e5786a7a24466d6972abf0f59db9931c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XDPCDAJ7MDRZ5PPBUWLNY6KIKV/bundle.json","state_url":"https://pith.science/pith/XDPCDAJ7MDRZ5PPBUWLNY6KIKV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XDPCDAJ7MDRZ5PPBUWLNY6KIKV/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":"2026-08-05T00:01:06Z","links":{"resolver":"https://pith.science/pith/XDPCDAJ7MDRZ5PPBUWLNY6KIKV","bundle":"https://pith.science/pith/XDPCDAJ7MDRZ5PPBUWLNY6KIKV/bundle.json","state":"https://pith.science/pith/XDPCDAJ7MDRZ5PPBUWLNY6KIKV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XDPCDAJ7MDRZ5PPBUWLNY6KIKV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:XDPCDAJ7MDRZ5PPBUWLNY6KIKV","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":"d8b3c8681d82039d045289b0eadfea366b83f2073a980f24fcbc0f2e2b53be9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-15T19:56:27Z","title_canon_sha256":"12d2ef6067d27791d937955b3f28552a82f35054c8d47c9ea5f2d823aec0e049"},"schema_version":"1.0","source":{"id":"2212.08112","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.08112","created_at":"2026-07-05T06:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"2212.08112v2","created_at":"2026-07-05T06:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.08112","created_at":"2026-07-05T06:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"XDPCDAJ7MDRZ","created_at":"2026-07-05T06:04:05Z"},{"alias_kind":"pith_short_16","alias_value":"XDPCDAJ7MDRZ5PPB","created_at":"2026-07-05T06:04:05Z"},{"alias_kind":"pith_short_8","alias_value":"XDPCDAJ7","created_at":"2026-07-05T06:04:05Z"}],"graph_snapshots":[{"event_id":"sha256:2f229040f2e64a7d1ae6ffb548530c81e5786a7a24466d6972abf0f59db9931c","target":"graph","created_at":"2026-07-05T06:04:05Z","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/2212.08112/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The No Hair theorem in classical general relativity predicts that rotating black holes are specified by the Kerr metric, which is uniquely identified by the mass and spin. However, as a pioneering study beyond general relativity, the rotating hairy black hole has been proposed, which encompasses the Kerr black hole as a special case. In these black holes, there are extra hair which could appear due to the additional surrounding sources such as dark matter or dark energy. In this work, we study the phenomenology of the rotating hairy black hole in terms of gravitational perturbations. In partic","authors_text":"Zhen Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-15T19:56:27Z","title":"Superradiance and quasinormal modes of the gravitational perturbation around rotating hairy black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.08112","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":"sha256:87c697adb718b098555b98ee7eabefc4c3f59be6a3ea5413653cd176346c7dfa","target":"record","created_at":"2026-07-05T06:04:05Z","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":"d8b3c8681d82039d045289b0eadfea366b83f2073a980f24fcbc0f2e2b53be9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-15T19:56:27Z","title_canon_sha256":"12d2ef6067d27791d937955b3f28552a82f35054c8d47c9ea5f2d823aec0e049"},"schema_version":"1.0","source":{"id":"2212.08112","kind":"arxiv","version":2}},"canonical_sha256":"b8de21813f60e39ebde1a596dc79485550ed72a8f2e77d9f2429c29892b4b0d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8de21813f60e39ebde1a596dc79485550ed72a8f2e77d9f2429c29892b4b0d7","first_computed_at":"2026-07-05T06:04:05.011549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:04:05.011549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"00xEMLKBcvksbjYg91sEPPQqQblfBtIuknYsX/SetpuukkJaN2RTNDkzvXdTf/lLlBb3jr/MGJqBvCK8zdJGCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:04:05.011966Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.08112","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87c697adb718b098555b98ee7eabefc4c3f59be6a3ea5413653cd176346c7dfa","sha256:2f229040f2e64a7d1ae6ffb548530c81e5786a7a24466d6972abf0f59db9931c"],"state_sha256":"c9d03f8db52536cd6ca3cc6cdd3ec0ef5f97884ca61074a16de93579b4606067"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eyjWlMs67gJpoRZZgChqhLnvFq1j29YQMtO8GittIHt8Gg1HHyZte5l9oTDSTHEPTA3aiKYVpPt+w/qkk0zZCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T00:01:06.729620Z","bundle_sha256":"416bde09cb4dcad1096dcfa9b676a6786b4a9f81abb02ff990a2f979bdb3f099"}}