{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QUS44UJ35POO7XRHNTHNMN4RPY","short_pith_number":"pith:QUS44UJ3","schema_version":"1.0","canonical_sha256":"8525ce513bebdcefde276cced637917e212d81c650f3766199bc529e1d8edc1f","source":{"kind":"arxiv","id":"1207.2713","version":1},"attestation_state":"computed","paper":{"title":"Spectral problems in inhomogeneous media, spectral parameter power series and transmutation operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.NA"],"primary_cat":"math.CA","authors_text":"Sergii M. Torba, Vladislav V. Kravchenko","submitted_at":"2012-07-11T17:19:43Z","abstract_excerpt":"We give a brief overview of recent developments in Sturm-Liouville theory concerning operators of transmutation (transformation) and spectral parameter power series (SPPS) and propose a new method for numerical solution of corresponding spectral problems."},"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":"1207.2713","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-07-11T17:19:43Z","cross_cats_sorted":["math-ph","math.MP","math.NA"],"title_canon_sha256":"5ba848fef0aa5da5b3712420cff5d5ee467c3f67f8faba39f4970c858ef05257","abstract_canon_sha256":"58555f8a7d8e99743f477a3df18cee822a7bf610c9a54c44be60d10cb3705a4f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:21.300261Z","signature_b64":"EGVogDBmy+K2wDzU3M2f52B/7uQdWS4gVEi1P9UM/OiPRDgkHLavgJ+Cw8arJbTxY82/9+Ti0Ovzl0WT7Qq5BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8525ce513bebdcefde276cced637917e212d81c650f3766199bc529e1d8edc1f","last_reissued_at":"2026-05-18T03:41:21.299624Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:21.299624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral problems in inhomogeneous media, spectral parameter power series and transmutation operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.NA"],"primary_cat":"math.CA","authors_text":"Sergii M. Torba, Vladislav V. Kravchenko","submitted_at":"2012-07-11T17:19:43Z","abstract_excerpt":"We give a brief overview of recent developments in Sturm-Liouville theory concerning operators of transmutation (transformation) and spectral parameter power series (SPPS) and propose a new method for numerical solution of corresponding spectral problems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2713","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":"1207.2713","created_at":"2026-05-18T03:41:21.299732+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.2713v1","created_at":"2026-05-18T03:41:21.299732+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2713","created_at":"2026-05-18T03:41:21.299732+00:00"},{"alias_kind":"pith_short_12","alias_value":"QUS44UJ35POO","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"QUS44UJ35POO7XRH","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"QUS44UJ3","created_at":"2026-05-18T12:27:20.899486+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/QUS44UJ35POO7XRHNTHNMN4RPY","json":"https://pith.science/pith/QUS44UJ35POO7XRHNTHNMN4RPY.json","graph_json":"https://pith.science/api/pith-number/QUS44UJ35POO7XRHNTHNMN4RPY/graph.json","events_json":"https://pith.science/api/pith-number/QUS44UJ35POO7XRHNTHNMN4RPY/events.json","paper":"https://pith.science/paper/QUS44UJ3"},"agent_actions":{"view_html":"https://pith.science/pith/QUS44UJ35POO7XRHNTHNMN4RPY","download_json":"https://pith.science/pith/QUS44UJ35POO7XRHNTHNMN4RPY.json","view_paper":"https://pith.science/paper/QUS44UJ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.2713&json=true","fetch_graph":"https://pith.science/api/pith-number/QUS44UJ35POO7XRHNTHNMN4RPY/graph.json","fetch_events":"https://pith.science/api/pith-number/QUS44UJ35POO7XRHNTHNMN4RPY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QUS44UJ35POO7XRHNTHNMN4RPY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QUS44UJ35POO7XRHNTHNMN4RPY/action/storage_attestation","attest_author":"https://pith.science/pith/QUS44UJ35POO7XRHNTHNMN4RPY/action/author_attestation","sign_citation":"https://pith.science/pith/QUS44UJ35POO7XRHNTHNMN4RPY/action/citation_signature","submit_replication":"https://pith.science/pith/QUS44UJ35POO7XRHNTHNMN4RPY/action/replication_record"}},"created_at":"2026-05-18T03:41:21.299732+00:00","updated_at":"2026-05-18T03:41:21.299732+00:00"}