{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5RX46RQBFGMZVEVTLGVWMWZSJC","short_pith_number":"pith:5RX46RQB","schema_version":"1.0","canonical_sha256":"ec6fcf460129999a92b359ab665b324892fb6be046d86870362f9c71463e4de9","source":{"kind":"arxiv","id":"1101.5426","version":1},"attestation_state":"computed","paper":{"title":"Analyticity and uniform stability of the inverse singular Sturm--Liouville spectral problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"math.SP","authors_text":"Rostyslav O. Hryniv","submitted_at":"2011-01-28T01:57:41Z","abstract_excerpt":"We prove that the potential of a Sturm--Liouville operator depends analytically and Lipschitz continuously on the spectral data (two spectra or one spectrum and the corresponding norming constants). We treat the class of operators with real-valued distributional potentials in the Sobolev class W^{s-1}_2(0,1), s\\in[0,1]."},"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":"1101.5426","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-01-28T01:57:41Z","cross_cats_sorted":["math-ph","math.CA","math.MP"],"title_canon_sha256":"3f3c009ed02d870b2168c5c164afc7fde0307f23927559336929c158fda08b5b","abstract_canon_sha256":"58c32d96b48dc4853448268fe92f32f56adc06b54f0f76414083743dd34c1984"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:35.054135Z","signature_b64":"fMwdYf8jv00JYGXXEEZ4gWpGwJ7qBcBZDwRe9tbbULDagNqgpGHoljr8GNPEYonYscFgZrgkDn0abpKflWNCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec6fcf460129999a92b359ab665b324892fb6be046d86870362f9c71463e4de9","last_reissued_at":"2026-05-18T04:30:35.053463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:35.053463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analyticity and uniform stability of the inverse singular Sturm--Liouville spectral problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"math.SP","authors_text":"Rostyslav O. Hryniv","submitted_at":"2011-01-28T01:57:41Z","abstract_excerpt":"We prove that the potential of a Sturm--Liouville operator depends analytically and Lipschitz continuously on the spectral data (two spectra or one spectrum and the corresponding norming constants). We treat the class of operators with real-valued distributional potentials in the Sobolev class W^{s-1}_2(0,1), s\\in[0,1]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5426","kind":"arxiv","version":1},"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":"1101.5426","created_at":"2026-05-18T04:30:35.053579+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.5426v1","created_at":"2026-05-18T04:30:35.053579+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5426","created_at":"2026-05-18T04:30:35.053579+00:00"},{"alias_kind":"pith_short_12","alias_value":"5RX46RQBFGMZ","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5RX46RQBFGMZVEVT","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5RX46RQB","created_at":"2026-05-18T12:26:20.644004+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/5RX46RQBFGMZVEVTLGVWMWZSJC","json":"https://pith.science/pith/5RX46RQBFGMZVEVTLGVWMWZSJC.json","graph_json":"https://pith.science/api/pith-number/5RX46RQBFGMZVEVTLGVWMWZSJC/graph.json","events_json":"https://pith.science/api/pith-number/5RX46RQBFGMZVEVTLGVWMWZSJC/events.json","paper":"https://pith.science/paper/5RX46RQB"},"agent_actions":{"view_html":"https://pith.science/pith/5RX46RQBFGMZVEVTLGVWMWZSJC","download_json":"https://pith.science/pith/5RX46RQBFGMZVEVTLGVWMWZSJC.json","view_paper":"https://pith.science/paper/5RX46RQB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.5426&json=true","fetch_graph":"https://pith.science/api/pith-number/5RX46RQBFGMZVEVTLGVWMWZSJC/graph.json","fetch_events":"https://pith.science/api/pith-number/5RX46RQBFGMZVEVTLGVWMWZSJC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5RX46RQBFGMZVEVTLGVWMWZSJC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5RX46RQBFGMZVEVTLGVWMWZSJC/action/storage_attestation","attest_author":"https://pith.science/pith/5RX46RQBFGMZVEVTLGVWMWZSJC/action/author_attestation","sign_citation":"https://pith.science/pith/5RX46RQBFGMZVEVTLGVWMWZSJC/action/citation_signature","submit_replication":"https://pith.science/pith/5RX46RQBFGMZVEVTLGVWMWZSJC/action/replication_record"}},"created_at":"2026-05-18T04:30:35.053579+00:00","updated_at":"2026-05-18T04:30:35.053579+00:00"}