{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:4MKG5J5IZEWKG2V3LANJ2WCU7Z","short_pith_number":"pith:4MKG5J5I","schema_version":"1.0","canonical_sha256":"e3146ea7a8c92ca36abb581a9d5854fe58775b175317fc068c83466bbc944afd","source":{"kind":"arxiv","id":"2601.00954","version":3},"attestation_state":"computed","paper":{"title":"Tidal perturbations of an extreme mass ratio inspiral around a Kerr black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"David Pere\\~niguez, Gianluca Grignani, Maarten van de Meent, Marta Cocco, Marta Orselli, Troels Harmark","submitted_at":"2026-01-02T19:00:05Z","abstract_excerpt":"We determine the metric of a Kerr black hole subject to external tidal fields using metric reconstruction techniques. Working within the Newman-Penrose formalism, we solve the Teukolsky master equation for static, quadrupolar modes associated with a slowly varying tidal environment, and reconstruct the corresponding metric perturbation in the outgoing radiation gauge. As an application, we derive the secular Hamiltonian governing the motion of a test particle in the tidally deformed Kerr spacetime and investigate long-term tidal effects relevant to extreme-mass-ratio inspirals. In particular, "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2601.00954","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-01-02T19:00:05Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"9b4eb860621c90776fe807bbcfb243dc4afd71e4f4f85ae607df6890fed9f9c8","abstract_canon_sha256":"1632299a1c53bb2a857f82abb00ca87d4595d296e026d1b576de5ca9413640ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T02:21:28.092638Z","signature_b64":"cXtUrEssu8gDgI3/E+Ilgt1Gdu/OxGO9zLU3+IX4Xx2CKwcbkZlVx2MkPKZczJlpx0YK6zdb5Bri5LkAq1ObDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3146ea7a8c92ca36abb581a9d5854fe58775b175317fc068c83466bbc944afd","last_reissued_at":"2026-07-21T02:21:28.091728Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T02:21:28.091728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tidal perturbations of an extreme mass ratio inspiral around a Kerr black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"David Pere\\~niguez, Gianluca Grignani, Maarten van de Meent, Marta Cocco, Marta Orselli, Troels Harmark","submitted_at":"2026-01-02T19:00:05Z","abstract_excerpt":"We determine the metric of a Kerr black hole subject to external tidal fields using metric reconstruction techniques. Working within the Newman-Penrose formalism, we solve the Teukolsky master equation for static, quadrupolar modes associated with a slowly varying tidal environment, and reconstruct the corresponding metric perturbation in the outgoing radiation gauge. As an application, we derive the secular Hamiltonian governing the motion of a test particle in the tidally deformed Kerr spacetime and investigate long-term tidal effects relevant to extreme-mass-ratio inspirals. In particular, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.00954","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.00954/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2601.00954","created_at":"2026-07-21T02:21:28.092149+00:00"},{"alias_kind":"arxiv_version","alias_value":"2601.00954v3","created_at":"2026-07-21T02:21:28.092149+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.00954","created_at":"2026-07-21T02:21:28.092149+00:00"},{"alias_kind":"pith_short_12","alias_value":"4MKG5J5IZEWK","created_at":"2026-07-21T02:21:28.092149+00:00"},{"alias_kind":"pith_short_16","alias_value":"4MKG5J5IZEWKG2V3","created_at":"2026-07-21T02:21:28.092149+00:00"},{"alias_kind":"pith_short_8","alias_value":"4MKG5J5I","created_at":"2026-07-21T02:21:28.092149+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2605.22525","citing_title":"Dynamics of Binary System around a Supermassive Black Hole :Binary Scattering and Eccentric vZLK Oscillations","ref_index":74,"is_internal_anchor":true},{"citing_arxiv_id":"2605.20320","citing_title":"Ringdown and lensing of triple systems","ref_index":73,"is_internal_anchor":true},{"citing_arxiv_id":"2601.14979","citing_title":"The relativistic restricted three-body problem: geometry and motion around tidally perturbed black holes","ref_index":100,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4MKG5J5IZEWKG2V3LANJ2WCU7Z","json":"https://pith.science/pith/4MKG5J5IZEWKG2V3LANJ2WCU7Z.json","graph_json":"https://pith.science/api/pith-number/4MKG5J5IZEWKG2V3LANJ2WCU7Z/graph.json","events_json":"https://pith.science/api/pith-number/4MKG5J5IZEWKG2V3LANJ2WCU7Z/events.json","paper":"https://pith.science/paper/4MKG5J5I"},"agent_actions":{"view_html":"https://pith.science/pith/4MKG5J5IZEWKG2V3LANJ2WCU7Z","download_json":"https://pith.science/pith/4MKG5J5IZEWKG2V3LANJ2WCU7Z.json","view_paper":"https://pith.science/paper/4MKG5J5I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2601.00954&json=true","fetch_graph":"https://pith.science/api/pith-number/4MKG5J5IZEWKG2V3LANJ2WCU7Z/graph.json","fetch_events":"https://pith.science/api/pith-number/4MKG5J5IZEWKG2V3LANJ2WCU7Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4MKG5J5IZEWKG2V3LANJ2WCU7Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4MKG5J5IZEWKG2V3LANJ2WCU7Z/action/storage_attestation","attest_author":"https://pith.science/pith/4MKG5J5IZEWKG2V3LANJ2WCU7Z/action/author_attestation","sign_citation":"https://pith.science/pith/4MKG5J5IZEWKG2V3LANJ2WCU7Z/action/citation_signature","submit_replication":"https://pith.science/pith/4MKG5J5IZEWKG2V3LANJ2WCU7Z/action/replication_record"}},"created_at":"2026-07-21T02:21:28.092149+00:00","updated_at":"2026-07-21T02:21:28.092149+00:00"}