{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LQQBP6V3QLIZUPBPHWUJ7FRRPT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ecac892456ddbfe9a74f39f1043cdb4400ac4b56e24f3c76f8ffb718e97df054","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-09-07T12:29:53Z","title_canon_sha256":"d556590741bffa4b0268e82026cf93717c7b09b573fc9f304f46d65c30d952c3"},"schema_version":"1.0","source":{"id":"1509.02009","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.02009","created_at":"2026-05-18T01:22:14Z"},{"alias_kind":"arxiv_version","alias_value":"1509.02009v3","created_at":"2026-05-18T01:22:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02009","created_at":"2026-05-18T01:22:14Z"},{"alias_kind":"pith_short_12","alias_value":"LQQBP6V3QLIZ","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LQQBP6V3QLIZUPBP","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LQQBP6V3","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:1662a7c7bcfe74e9bf23b6e55f67be65b443cb20896f55dccef8965806d6db76","target":"graph","created_at":"2026-05-18T01:22:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In the present work, we investigate a uniqueness of solution of the inverse source problem with non-local conditions for mixed parabolic-hyperbolic type equation with Caputo fractional derivative. Solution of the problem we represent as bi-orthogonal series with respect to space variable and will get fractional order differential equations with respect to time-variable. Using boundary and gluing conditions, we deduce system of algebraic equations regarding unknown constants and imposing condition to the determinant of this system, we prove a uniqueness of considered problem. Moreover, we find ","authors_text":"E. T. Karimov, M. S. Salakhitdinov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-09-07T12:29:53Z","title":"Uniqueness of an inverse source non-local problem for fractional order mixed type equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02009","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ce0e036a1df7a28021d956bd14a93d5ab2bcebae1a6aa7e861c9f1eb87daaf42","target":"record","created_at":"2026-05-18T01:22:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ecac892456ddbfe9a74f39f1043cdb4400ac4b56e24f3c76f8ffb718e97df054","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-09-07T12:29:53Z","title_canon_sha256":"d556590741bffa4b0268e82026cf93717c7b09b573fc9f304f46d65c30d952c3"},"schema_version":"1.0","source":{"id":"1509.02009","kind":"arxiv","version":3}},"canonical_sha256":"5c2017fabb82d19a3c2f3da89f96317cd80db4b5ee6a810fb233a311d8597956","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c2017fabb82d19a3c2f3da89f96317cd80db4b5ee6a810fb233a311d8597956","first_computed_at":"2026-05-18T01:22:14.252159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:14.252159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0JKwd9pxR2sJJ6Txkcx0LYLW6xObnivbVIinBxFaeVtS4MT0FND1vLlCQMSUHpVRuDO83opgnMPKgya4RXHLDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:14.253183Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.02009","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce0e036a1df7a28021d956bd14a93d5ab2bcebae1a6aa7e861c9f1eb87daaf42","sha256:1662a7c7bcfe74e9bf23b6e55f67be65b443cb20896f55dccef8965806d6db76"],"state_sha256":"f9c0441b7f51a80b7663332a3bb4b82c5d5228b8f9d32895a4c56259be41f707"}