{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:EKAETU2NCLU7ITI3XYHL7PUR7E","short_pith_number":"pith:EKAETU2N","schema_version":"1.0","canonical_sha256":"228049d34d12e9f44d1bbe0ebfbe91f90b4f9cafcad46cdb3d0f5e537e8b1703","source":{"kind":"arxiv","id":"2411.13524","version":1},"attestation_state":"computed","paper":{"title":"Incomplete (even and odd) trigonometric splines in the problems of constructing approximate solutions of second order linear differential equations","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Ludmila Rybachuk, Volodymyr Denysiuk","submitted_at":"2024-11-20T18:21:04Z","abstract_excerpt":"The method of constructing approximate solutions of the first boundary value problem for linear differential equations based on incomplete (even and odd) trigonometric splines is considered. The theoretical positions are illustrated by numerical examples."},"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":"2411.13524","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2024-11-20T18:21:04Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"36b3dd1851dcef6b1c658fa9b86e2f7cf5a64228578d4b85527dc672794f8f0b","abstract_canon_sha256":"8a458637565d87fa9c2854b49cef96fc7aad7673cc3cc2813ea4da55c6fb47a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:38:18.599893Z","signature_b64":"ObHBUxvcmmKLHbUvRgBikD1uH2nHeYBUBsTj3EK2qRXBhiMno2ehIN2zxt0TbhY4UmrrPeKwVPOAy+YYjyG1Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"228049d34d12e9f44d1bbe0ebfbe91f90b4f9cafcad46cdb3d0f5e537e8b1703","last_reissued_at":"2026-07-05T09:38:18.599472Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:38:18.599472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Incomplete (even and odd) trigonometric splines in the problems of constructing approximate solutions of second order linear differential equations","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Ludmila Rybachuk, Volodymyr Denysiuk","submitted_at":"2024-11-20T18:21:04Z","abstract_excerpt":"The method of constructing approximate solutions of the first boundary value problem for linear differential equations based on incomplete (even and odd) trigonometric splines is considered. The theoretical positions are illustrated by numerical examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13524","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.13524/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":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":"2411.13524","created_at":"2026-07-05T09:38:18.599530+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.13524v1","created_at":"2026-07-05T09:38:18.599530+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13524","created_at":"2026-07-05T09:38:18.599530+00:00"},{"alias_kind":"pith_short_12","alias_value":"EKAETU2NCLU7","created_at":"2026-07-05T09:38:18.599530+00:00"},{"alias_kind":"pith_short_16","alias_value":"EKAETU2NCLU7ITI3","created_at":"2026-07-05T09:38:18.599530+00:00"},{"alias_kind":"pith_short_8","alias_value":"EKAETU2N","created_at":"2026-07-05T09:38:18.599530+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/EKAETU2NCLU7ITI3XYHL7PUR7E","json":"https://pith.science/pith/EKAETU2NCLU7ITI3XYHL7PUR7E.json","graph_json":"https://pith.science/api/pith-number/EKAETU2NCLU7ITI3XYHL7PUR7E/graph.json","events_json":"https://pith.science/api/pith-number/EKAETU2NCLU7ITI3XYHL7PUR7E/events.json","paper":"https://pith.science/paper/EKAETU2N"},"agent_actions":{"view_html":"https://pith.science/pith/EKAETU2NCLU7ITI3XYHL7PUR7E","download_json":"https://pith.science/pith/EKAETU2NCLU7ITI3XYHL7PUR7E.json","view_paper":"https://pith.science/paper/EKAETU2N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.13524&json=true","fetch_graph":"https://pith.science/api/pith-number/EKAETU2NCLU7ITI3XYHL7PUR7E/graph.json","fetch_events":"https://pith.science/api/pith-number/EKAETU2NCLU7ITI3XYHL7PUR7E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EKAETU2NCLU7ITI3XYHL7PUR7E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EKAETU2NCLU7ITI3XYHL7PUR7E/action/storage_attestation","attest_author":"https://pith.science/pith/EKAETU2NCLU7ITI3XYHL7PUR7E/action/author_attestation","sign_citation":"https://pith.science/pith/EKAETU2NCLU7ITI3XYHL7PUR7E/action/citation_signature","submit_replication":"https://pith.science/pith/EKAETU2NCLU7ITI3XYHL7PUR7E/action/replication_record"}},"created_at":"2026-07-05T09:38:18.599530+00:00","updated_at":"2026-07-05T09:38:18.599530+00:00"}