{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:LAGHZHE35KDFW4ABT4ODY7NRXG","short_pith_number":"pith:LAGHZHE3","schema_version":"1.0","canonical_sha256":"580c7c9c9bea865b70019f1c3c7db1b996db66ff24503ba37d7b2429bd71ea30","source":{"kind":"arxiv","id":"1402.2848","version":2},"attestation_state":"computed","paper":{"title":"On the linear stability of the extreme Kerr black hole under axially symmetric perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ivan Gentile de Austria, Sergio Dain","submitted_at":"2014-02-12T15:20:21Z","abstract_excerpt":"We prove that for axially symmetric linear gravitational perturbations of the extreme Kerr black hole there exists a positive definite and conserved energy. This provides a basic criteria for linear stability in axial symmetry. In the particular case of Minkowski, using this energy we also prove pointwise boundedness of the perturbation in a remarkable simple way."},"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":"1402.2848","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-02-12T15:20:21Z","cross_cats_sorted":[],"title_canon_sha256":"fd3283d7e35ae8ccd1e30a395cee10aed83dda352a819ef4c3d0825103e52e56","abstract_canon_sha256":"8e026808f4958b227eca52116817555013fdd51a3e42b61f855a8e7cb6389432"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:28.434866Z","signature_b64":"Aa7dKg4qFcD3/0cw/gViFQfmZFohnPNxSkvGaLCQHvW9Flo4yxkQtDTM1m+Ygf8Mg5SbVRVg2zsKrn0wwE6mAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"580c7c9c9bea865b70019f1c3c7db1b996db66ff24503ba37d7b2429bd71ea30","last_reissued_at":"2026-05-18T02:42:28.434052Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:28.434052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the linear stability of the extreme Kerr black hole under axially symmetric perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ivan Gentile de Austria, Sergio Dain","submitted_at":"2014-02-12T15:20:21Z","abstract_excerpt":"We prove that for axially symmetric linear gravitational perturbations of the extreme Kerr black hole there exists a positive definite and conserved energy. This provides a basic criteria for linear stability in axial symmetry. In the particular case of Minkowski, using this energy we also prove pointwise boundedness of the perturbation in a remarkable simple way."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2848","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":""},"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":"1402.2848","created_at":"2026-05-18T02:42:28.434186+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.2848v2","created_at":"2026-05-18T02:42:28.434186+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2848","created_at":"2026-05-18T02:42:28.434186+00:00"},{"alias_kind":"pith_short_12","alias_value":"LAGHZHE35KDF","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"LAGHZHE35KDFW4AB","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"LAGHZHE3","created_at":"2026-05-18T12:28:35.611951+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/LAGHZHE35KDFW4ABT4ODY7NRXG","json":"https://pith.science/pith/LAGHZHE35KDFW4ABT4ODY7NRXG.json","graph_json":"https://pith.science/api/pith-number/LAGHZHE35KDFW4ABT4ODY7NRXG/graph.json","events_json":"https://pith.science/api/pith-number/LAGHZHE35KDFW4ABT4ODY7NRXG/events.json","paper":"https://pith.science/paper/LAGHZHE3"},"agent_actions":{"view_html":"https://pith.science/pith/LAGHZHE35KDFW4ABT4ODY7NRXG","download_json":"https://pith.science/pith/LAGHZHE35KDFW4ABT4ODY7NRXG.json","view_paper":"https://pith.science/paper/LAGHZHE3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.2848&json=true","fetch_graph":"https://pith.science/api/pith-number/LAGHZHE35KDFW4ABT4ODY7NRXG/graph.json","fetch_events":"https://pith.science/api/pith-number/LAGHZHE35KDFW4ABT4ODY7NRXG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LAGHZHE35KDFW4ABT4ODY7NRXG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LAGHZHE35KDFW4ABT4ODY7NRXG/action/storage_attestation","attest_author":"https://pith.science/pith/LAGHZHE35KDFW4ABT4ODY7NRXG/action/author_attestation","sign_citation":"https://pith.science/pith/LAGHZHE35KDFW4ABT4ODY7NRXG/action/citation_signature","submit_replication":"https://pith.science/pith/LAGHZHE35KDFW4ABT4ODY7NRXG/action/replication_record"}},"created_at":"2026-05-18T02:42:28.434186+00:00","updated_at":"2026-05-18T02:42:28.434186+00:00"}