{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:U4QTW5FZDWD7BZTSPK5KXVQXHQ","short_pith_number":"pith:U4QTW5FZ","schema_version":"1.0","canonical_sha256":"a7213b74b91d87f0e6727abaabd6173c0931ce4e8987ef30058ab88150e3d8b7","source":{"kind":"arxiv","id":"2603.08408","version":3},"attestation_state":"computed","paper":{"title":"Local Origin of Hidden Symmetry in Rotating Spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The kinematical core of Kerr geometry is fixed locally by the Einstein equations.","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Hyeong-Chan Kim","submitted_at":"2026-03-09T14:04:28Z","abstract_excerpt":"We show that, within a broad stationary-axisymmetric class, Kerr-type separability and hidden symmetry arise as a local consequence of the Einstein equations. Without assuming separability, algebraic speciality, Killing--Yano symmetry, or global boundary conditions, we analyze stationary and axisymmetric geometries in a locally non-rotating orthonormal frame and impose a minimal local equilibrium condition, namely the absence of mixed energy-momentum fluxes. We find that the mixed Einstein equations enforce a rigid projective alignment between radial and angular sectors, uniquely characterized"},"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":true},"canonical_record":{"source":{"id":"2603.08408","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-03-09T14:04:28Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"fb9a32f9d701b1c0600f4a42d733c0e11666420af4f796e5ef04e16d79c0f6ed","abstract_canon_sha256":"c6be52b5b68323c0fcf4350109e7f81f2a249c8f2b37362c1005ab18ecad1b92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T02:13:59.119036Z","signature_b64":"T0L6cGWjpWtok45Myhgebdrp8NbG4T6QUZSFRSAkLrfyi8U1pC8nRCut0gJ+75tB9OlqmE+Ua94WlcWGAy9fBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7213b74b91d87f0e6727abaabd6173c0931ce4e8987ef30058ab88150e3d8b7","last_reissued_at":"2026-06-23T02:13:59.118512Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T02:13:59.118512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local Origin of Hidden Symmetry in Rotating Spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The kinematical core of Kerr geometry is fixed locally by the Einstein equations.","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Hyeong-Chan Kim","submitted_at":"2026-03-09T14:04:28Z","abstract_excerpt":"We show that, within a broad stationary-axisymmetric class, Kerr-type separability and hidden symmetry arise as a local consequence of the Einstein equations. Without assuming separability, algebraic speciality, Killing--Yano symmetry, or global boundary conditions, we analyze stationary and axisymmetric geometries in a locally non-rotating orthonormal frame and impose a minimal local equilibrium condition, namely the absence of mixed energy-momentum fluxes. We find that the mixed Einstein equations enforce a rigid projective alignment between radial and angular sectors, uniquely characterized"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the kinematical core of Kerr geometry is already fixed locally, and the Schwarzian structure provides the local origin of Kerr rigidity.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"the minimal local equilibrium condition of absent mixed energy-momentum fluxes together with the choice of a locally non-rotating orthonormal frame; the paper states this is imposed without assuming separability, algebraic speciality, or Killing-Yano symmetry.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The mixed Einstein equations in stationary-axisymmetric geometries with absent mixed fluxes enforce a constant-Schwarzian constraint whose global-regularity branch is precisely the Kerr sector.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The kinematical core of Kerr geometry is fixed locally by the Einstein equations.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"0523f3a2c010459ba4eed186f7d907379c21a8a430e41c06c6d4409c4d7233f0"},"source":{"id":"2603.08408","kind":"arxiv","version":3},"verdict":{"id":"16969b29-10e2-41ab-8061-57a5122ac6cd","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T15:05:15.457853Z","strongest_claim":"the kinematical core of Kerr geometry is already fixed locally, and the Schwarzian structure provides the local origin of Kerr rigidity.","one_line_summary":"The mixed Einstein equations in stationary-axisymmetric geometries with absent mixed fluxes enforce a constant-Schwarzian constraint whose global-regularity branch is precisely the Kerr sector.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"the minimal local equilibrium condition of absent mixed energy-momentum fluxes together with the choice of a locally non-rotating orthonormal frame; the paper states this is imposed without assuming separability, algebraic speciality, or Killing-Yano symmetry.","pith_extraction_headline":"The kinematical core of Kerr geometry is fixed locally by the Einstein equations."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.08408/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":2,"snapshot_sha256":"a0d469428033ef26f03f16eb758212c05a3df899793c59c1fa0e4b4d290ba20d"},"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":"2603.08408","created_at":"2026-06-23T02:13:59.118574+00:00"},{"alias_kind":"arxiv_version","alias_value":"2603.08408v3","created_at":"2026-06-23T02:13:59.118574+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.08408","created_at":"2026-06-23T02:13:59.118574+00:00"},{"alias_kind":"pith_short_12","alias_value":"U4QTW5FZDWD7","created_at":"2026-06-23T02:13:59.118574+00:00"},{"alias_kind":"pith_short_16","alias_value":"U4QTW5FZDWD7BZTS","created_at":"2026-06-23T02:13:59.118574+00:00"},{"alias_kind":"pith_short_8","alias_value":"U4QTW5FZ","created_at":"2026-06-23T02:13:59.118574+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U4QTW5FZDWD7BZTSPK5KXVQXHQ","json":"https://pith.science/pith/U4QTW5FZDWD7BZTSPK5KXVQXHQ.json","graph_json":"https://pith.science/api/pith-number/U4QTW5FZDWD7BZTSPK5KXVQXHQ/graph.json","events_json":"https://pith.science/api/pith-number/U4QTW5FZDWD7BZTSPK5KXVQXHQ/events.json","paper":"https://pith.science/paper/U4QTW5FZ"},"agent_actions":{"view_html":"https://pith.science/pith/U4QTW5FZDWD7BZTSPK5KXVQXHQ","download_json":"https://pith.science/pith/U4QTW5FZDWD7BZTSPK5KXVQXHQ.json","view_paper":"https://pith.science/paper/U4QTW5FZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2603.08408&json=true","fetch_graph":"https://pith.science/api/pith-number/U4QTW5FZDWD7BZTSPK5KXVQXHQ/graph.json","fetch_events":"https://pith.science/api/pith-number/U4QTW5FZDWD7BZTSPK5KXVQXHQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U4QTW5FZDWD7BZTSPK5KXVQXHQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U4QTW5FZDWD7BZTSPK5KXVQXHQ/action/storage_attestation","attest_author":"https://pith.science/pith/U4QTW5FZDWD7BZTSPK5KXVQXHQ/action/author_attestation","sign_citation":"https://pith.science/pith/U4QTW5FZDWD7BZTSPK5KXVQXHQ/action/citation_signature","submit_replication":"https://pith.science/pith/U4QTW5FZDWD7BZTSPK5KXVQXHQ/action/replication_record"}},"created_at":"2026-06-23T02:13:59.118574+00:00","updated_at":"2026-06-23T02:13:59.118574+00:00"}