{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2FVPTKQ3224XI2JBY2EXX63S4E","short_pith_number":"pith:2FVPTKQ3","schema_version":"1.0","canonical_sha256":"d16af9aa1bd6b9746921c6897bfb72e123faf7ee66feab7a79c879ad8dd9de39","source":{"kind":"arxiv","id":"1501.01483","version":1},"attestation_state":"computed","paper":{"title":"Non-homogeneous boundary value problems for fractional diffusion equations in $L^2$-setting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kenichi Fujishiro","submitted_at":"2015-01-07T13:18:54Z","abstract_excerpt":"In the present article, we study the diffusion equations with fractional time derivatives. The aim of this paper is to investigate the best possible regularity for the initial value/boundary value problems with non-homogeneous Dirichlet boundary data. The main tool we use here is called the transposition method."},"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":"1501.01483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-07T13:18:54Z","cross_cats_sorted":[],"title_canon_sha256":"a828c46f62038220eee9898978cdc9a3012c42538e842e5dacdfa95423e56276","abstract_canon_sha256":"78ef69b7522c772de8c6bc6c18b2edceadd88385e90ec5edd9bc18a1f7f7352e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:54.038975Z","signature_b64":"pfI9sKyOluwmONxRv7y1JrbsWmuzWZox0eYNOa6JIwp3dW614CUDbQag+VgfXhmKJHqJIWbhaHvASZM67a5mBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d16af9aa1bd6b9746921c6897bfb72e123faf7ee66feab7a79c879ad8dd9de39","last_reissued_at":"2026-05-18T02:29:54.038434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:54.038434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-homogeneous boundary value problems for fractional diffusion equations in $L^2$-setting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kenichi Fujishiro","submitted_at":"2015-01-07T13:18:54Z","abstract_excerpt":"In the present article, we study the diffusion equations with fractional time derivatives. The aim of this paper is to investigate the best possible regularity for the initial value/boundary value problems with non-homogeneous Dirichlet boundary data. The main tool we use here is called the transposition method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01483","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":"1501.01483","created_at":"2026-05-18T02:29:54.038579+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.01483v1","created_at":"2026-05-18T02:29:54.038579+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01483","created_at":"2026-05-18T02:29:54.038579+00:00"},{"alias_kind":"pith_short_12","alias_value":"2FVPTKQ3224X","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"2FVPTKQ3224XI2JB","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"2FVPTKQ3","created_at":"2026-05-18T12:28:59.999130+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/2FVPTKQ3224XI2JBY2EXX63S4E","json":"https://pith.science/pith/2FVPTKQ3224XI2JBY2EXX63S4E.json","graph_json":"https://pith.science/api/pith-number/2FVPTKQ3224XI2JBY2EXX63S4E/graph.json","events_json":"https://pith.science/api/pith-number/2FVPTKQ3224XI2JBY2EXX63S4E/events.json","paper":"https://pith.science/paper/2FVPTKQ3"},"agent_actions":{"view_html":"https://pith.science/pith/2FVPTKQ3224XI2JBY2EXX63S4E","download_json":"https://pith.science/pith/2FVPTKQ3224XI2JBY2EXX63S4E.json","view_paper":"https://pith.science/paper/2FVPTKQ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.01483&json=true","fetch_graph":"https://pith.science/api/pith-number/2FVPTKQ3224XI2JBY2EXX63S4E/graph.json","fetch_events":"https://pith.science/api/pith-number/2FVPTKQ3224XI2JBY2EXX63S4E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2FVPTKQ3224XI2JBY2EXX63S4E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2FVPTKQ3224XI2JBY2EXX63S4E/action/storage_attestation","attest_author":"https://pith.science/pith/2FVPTKQ3224XI2JBY2EXX63S4E/action/author_attestation","sign_citation":"https://pith.science/pith/2FVPTKQ3224XI2JBY2EXX63S4E/action/citation_signature","submit_replication":"https://pith.science/pith/2FVPTKQ3224XI2JBY2EXX63S4E/action/replication_record"}},"created_at":"2026-05-18T02:29:54.038579+00:00","updated_at":"2026-05-18T02:29:54.038579+00:00"}