{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6WXLB5KDMMCTALCRFEXVKMFEMM","short_pith_number":"pith:6WXLB5KD","schema_version":"1.0","canonical_sha256":"f5aeb0f5436305302c51292f5530a4633913c98722c8354a63c5a24f52b59052","source":{"kind":"arxiv","id":"1806.09022","version":4},"attestation_state":"computed","paper":{"title":"Bound orbits of a slowly evolving black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"gr-qc","authors_text":"Scott A. Hughes","submitted_at":"2018-06-23T18:53:42Z","abstract_excerpt":"Bound orbits of black holes are very well understood. Given a Kerr black hole of mass $M$ and spin $S = aM^2$, it is simple to characterize its orbits as functions of the orbit's geometry. How do the orbits change if the black hole is itself evolving? How do the orbits change if the orbiting body evolves? In this paper, we consider a process that changes a black hole's mass and spin, acting such that the spacetime is described by the Kerr solution at any moment, or that changes the orbiting body's mass. Provided this change happens slowly, the orbit's actions ($J_r, J_\\theta, J_\\phi$) are {\\it"},"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":"1806.09022","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-06-23T18:53:42Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"6f1ddbece49bfdb9b42eca663bd380677cd2abe0d69106f9ea8c8a9b27a88af9","abstract_canon_sha256":"b59463c1bd2d43a11121b903f1dd679d4984aa7317660f028dab55acbb865f3c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:03:29.781629Z","signature_b64":"QNmpZ2mt1SGM37gWcekQw5cQnPznmUSKWuey23KEtB/biCBu0/iUeqFnZFfRkfI541GuwzHc3e/boLZGaTB6Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f5aeb0f5436305302c51292f5530a4633913c98722c8354a63c5a24f52b59052","last_reissued_at":"2026-07-05T00:03:29.781138Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:03:29.781138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bound orbits of a slowly evolving black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"gr-qc","authors_text":"Scott A. Hughes","submitted_at":"2018-06-23T18:53:42Z","abstract_excerpt":"Bound orbits of black holes are very well understood. Given a Kerr black hole of mass $M$ and spin $S = aM^2$, it is simple to characterize its orbits as functions of the orbit's geometry. How do the orbits change if the black hole is itself evolving? How do the orbits change if the orbiting body evolves? In this paper, we consider a process that changes a black hole's mass and spin, acting such that the spacetime is described by the Kerr solution at any moment, or that changes the orbiting body's mass. Provided this change happens slowly, the orbit's actions ($J_r, J_\\theta, J_\\phi$) are {\\it"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.09022","kind":"arxiv","version":4},"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/1806.09022/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":"1806.09022","created_at":"2026-07-05T00:03:29.781197+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.09022v4","created_at":"2026-07-05T00:03:29.781197+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.09022","created_at":"2026-07-05T00:03:29.781197+00:00"},{"alias_kind":"pith_short_12","alias_value":"6WXLB5KDMMCT","created_at":"2026-07-05T00:03:29.781197+00:00"},{"alias_kind":"pith_short_16","alias_value":"6WXLB5KDMMCTALCR","created_at":"2026-07-05T00:03:29.781197+00:00"},{"alias_kind":"pith_short_8","alias_value":"6WXLB5KD","created_at":"2026-07-05T00:03:29.781197+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6WXLB5KDMMCTALCRFEXVKMFEMM","json":"https://pith.science/pith/6WXLB5KDMMCTALCRFEXVKMFEMM.json","graph_json":"https://pith.science/api/pith-number/6WXLB5KDMMCTALCRFEXVKMFEMM/graph.json","events_json":"https://pith.science/api/pith-number/6WXLB5KDMMCTALCRFEXVKMFEMM/events.json","paper":"https://pith.science/paper/6WXLB5KD"},"agent_actions":{"view_html":"https://pith.science/pith/6WXLB5KDMMCTALCRFEXVKMFEMM","download_json":"https://pith.science/pith/6WXLB5KDMMCTALCRFEXVKMFEMM.json","view_paper":"https://pith.science/paper/6WXLB5KD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.09022&json=true","fetch_graph":"https://pith.science/api/pith-number/6WXLB5KDMMCTALCRFEXVKMFEMM/graph.json","fetch_events":"https://pith.science/api/pith-number/6WXLB5KDMMCTALCRFEXVKMFEMM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6WXLB5KDMMCTALCRFEXVKMFEMM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6WXLB5KDMMCTALCRFEXVKMFEMM/action/storage_attestation","attest_author":"https://pith.science/pith/6WXLB5KDMMCTALCRFEXVKMFEMM/action/author_attestation","sign_citation":"https://pith.science/pith/6WXLB5KDMMCTALCRFEXVKMFEMM/action/citation_signature","submit_replication":"https://pith.science/pith/6WXLB5KDMMCTALCRFEXVKMFEMM/action/replication_record"}},"created_at":"2026-07-05T00:03:29.781197+00:00","updated_at":"2026-07-05T00:03:29.781197+00:00"}