{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZQJFRIU2WYXIPCXUCDU54ZLZ2H","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":"bbb5649e3e5633ccd78aacf10ea0768ee46c5bbb5e1dbccd2963b3e398f436ad","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-07-03T16:32:04Z","title_canon_sha256":"e776a952534644219b0da2c8b2aeaeb554341a35e3856802035ddcad1aa24cf2"},"schema_version":"1.0","source":{"id":"1907.02019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.02019","created_at":"2026-05-17T23:41:34Z"},{"alias_kind":"arxiv_version","alias_value":"1907.02019v1","created_at":"2026-05-17T23:41:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.02019","created_at":"2026-05-17T23:41:34Z"},{"alias_kind":"pith_short_12","alias_value":"ZQJFRIU2WYXI","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"ZQJFRIU2WYXIPCXU","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"ZQJFRIU2","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:b39ecdcb88d16b684df8107ec656ce693d99442388e1300e0a0e51e64c419955","target":"graph","created_at":"2026-05-17T23:41:34Z","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 this paper, we investigate the existence and uniqueness of mild and strong solutions of fractional semilinear evolution equations in the Hilfer sense, by means of Banach fixed point theorem and the Gronwall inequality.","authors_text":"E. Capelas de Oliveira, J. Vanterler da C. Sousa, Leandro S. Tavares","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-07-03T16:32:04Z","title":"Mild and strong solutions for Hilfer evolution equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.02019","kind":"arxiv","version":1},"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":"sha256:41df37f551e273474e894a89fa0a81d79b7b21c9a873f25e925b68251b984b1b","target":"record","created_at":"2026-05-17T23:41:34Z","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":"bbb5649e3e5633ccd78aacf10ea0768ee46c5bbb5e1dbccd2963b3e398f436ad","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-07-03T16:32:04Z","title_canon_sha256":"e776a952534644219b0da2c8b2aeaeb554341a35e3856802035ddcad1aa24cf2"},"schema_version":"1.0","source":{"id":"1907.02019","kind":"arxiv","version":1}},"canonical_sha256":"cc1258a29ab62e878af410e9de6579d1f321b8bf54cbee31536620d5c3dcdad1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc1258a29ab62e878af410e9de6579d1f321b8bf54cbee31536620d5c3dcdad1","first_computed_at":"2026-05-17T23:41:34.207208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:34.207208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KTl9SgKkullKdDV5TCAgrZgriQlI5Tzd6n+2awVrRtMt1hdsmk1PmrHTTs7Q4aPhwBqTt+wQflwuQXNLzLlpDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:34.207862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.02019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41df37f551e273474e894a89fa0a81d79b7b21c9a873f25e925b68251b984b1b","sha256:b39ecdcb88d16b684df8107ec656ce693d99442388e1300e0a0e51e64c419955"],"state_sha256":"ad530690914e0e86e94b5750559563bed7ebfdfc0293621a428dc8a3b0b13064"}