{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:J5F4CP3P67VK4PH37AQ5HUJC6T","short_pith_number":"pith:J5F4CP3P","schema_version":"1.0","canonical_sha256":"4f4bc13f6ff7eaae3cfbf821d3d122f4cf42ed7f3130b7d1466417b0c88b8f4c","source":{"kind":"arxiv","id":"1803.03011","version":1},"attestation_state":"computed","paper":{"title":"Inverse Sturm-Liouville problems with summable potential","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.SP","authors_text":"Tigran Harutyunyan, Yuri Ashrafyan","submitted_at":"2018-03-08T09:10:50Z","abstract_excerpt":"We describe the necessary and sufficient conditions for two sequences {\\mu_n}^\\infty_n=0 and {a_n}^\\infty_n=0 to be correspondingly the set of eigenvalues and the set of norming constants of a Sturm-Liouville problem with real summable potential q and in advance fixed separated boundary conditions."},"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":"1803.03011","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.SP","submitted_at":"2018-03-08T09:10:50Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"801231d28b9ee1f45734ea50c2dd9663da32747782552994206bd582333b7ba6","abstract_canon_sha256":"ff0883caf0cda229f0cc685e66300952428b7b1992e4fd3885ee50b372deced3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:44.702527Z","signature_b64":"CbxhSo0Rt9ilXFART/eYg7SQWvWdVQjJUbV/afNKL+hZOn48WBYNZkMZlnv/+VREJMLZFCutOt5os0xEcauECA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f4bc13f6ff7eaae3cfbf821d3d122f4cf42ed7f3130b7d1466417b0c88b8f4c","last_reissued_at":"2026-05-18T00:21:44.702050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:44.702050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inverse Sturm-Liouville problems with summable potential","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.SP","authors_text":"Tigran Harutyunyan, Yuri Ashrafyan","submitted_at":"2018-03-08T09:10:50Z","abstract_excerpt":"We describe the necessary and sufficient conditions for two sequences {\\mu_n}^\\infty_n=0 and {a_n}^\\infty_n=0 to be correspondingly the set of eigenvalues and the set of norming constants of a Sturm-Liouville problem with real summable potential q and in advance fixed separated boundary conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03011","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":"1803.03011","created_at":"2026-05-18T00:21:44.702120+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.03011v1","created_at":"2026-05-18T00:21:44.702120+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.03011","created_at":"2026-05-18T00:21:44.702120+00:00"},{"alias_kind":"pith_short_12","alias_value":"J5F4CP3P67VK","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"J5F4CP3P67VK4PH3","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"J5F4CP3P","created_at":"2026-05-18T12:32:31.084164+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/J5F4CP3P67VK4PH37AQ5HUJC6T","json":"https://pith.science/pith/J5F4CP3P67VK4PH37AQ5HUJC6T.json","graph_json":"https://pith.science/api/pith-number/J5F4CP3P67VK4PH37AQ5HUJC6T/graph.json","events_json":"https://pith.science/api/pith-number/J5F4CP3P67VK4PH37AQ5HUJC6T/events.json","paper":"https://pith.science/paper/J5F4CP3P"},"agent_actions":{"view_html":"https://pith.science/pith/J5F4CP3P67VK4PH37AQ5HUJC6T","download_json":"https://pith.science/pith/J5F4CP3P67VK4PH37AQ5HUJC6T.json","view_paper":"https://pith.science/paper/J5F4CP3P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.03011&json=true","fetch_graph":"https://pith.science/api/pith-number/J5F4CP3P67VK4PH37AQ5HUJC6T/graph.json","fetch_events":"https://pith.science/api/pith-number/J5F4CP3P67VK4PH37AQ5HUJC6T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J5F4CP3P67VK4PH37AQ5HUJC6T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J5F4CP3P67VK4PH37AQ5HUJC6T/action/storage_attestation","attest_author":"https://pith.science/pith/J5F4CP3P67VK4PH37AQ5HUJC6T/action/author_attestation","sign_citation":"https://pith.science/pith/J5F4CP3P67VK4PH37AQ5HUJC6T/action/citation_signature","submit_replication":"https://pith.science/pith/J5F4CP3P67VK4PH37AQ5HUJC6T/action/replication_record"}},"created_at":"2026-05-18T00:21:44.702120+00:00","updated_at":"2026-05-18T00:21:44.702120+00:00"}