{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QE2RBZYZDYP4UWACHKPNR6YYR7","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":"138f273a75e5089b295551bbadf90c477da5d615c826ae6f682c0f3d2281dd46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-11-05T18:08:42Z","title_canon_sha256":"fd4240b8276230a99f260772a7f7315712f44520124ab6f705a89c914959dfc9"},"schema_version":"1.0","source":{"id":"1811.01889","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.01889","created_at":"2026-05-18T00:01:32Z"},{"alias_kind":"arxiv_version","alias_value":"1811.01889v1","created_at":"2026-05-18T00:01:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.01889","created_at":"2026-05-18T00:01:32Z"},{"alias_kind":"pith_short_12","alias_value":"QE2RBZYZDYP4","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QE2RBZYZDYP4UWAC","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QE2RBZYZ","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:1d6f0023165a5172c5f9d797ba87cf69850504aa653a1555a0440acf628b7e26","target":"graph","created_at":"2026-05-18T00:01:32Z","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":"The present paper plans to examine the existence, uniqueness and data dependence of the solution of the fractional functional differential equation with the abstract operator of Volterra, in the context of the Picard operators. We present an example, in order to illustrate the results obtained. We present an application, with the end goal to illustrate the results obtained.","authors_text":"E. Capelas de Oliveira, J. Vanterler da C. Sousa, Kishor D. Kucche","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-11-05T18:08:42Z","title":"On the fractional functional differential equation with abstract Volterra operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01889","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":"sha256:2ec18e48beaa546ec66829944b184db5a497ffc93a40d827de349b6c420b49cd","target":"record","created_at":"2026-05-18T00:01:32Z","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":"138f273a75e5089b295551bbadf90c477da5d615c826ae6f682c0f3d2281dd46","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-11-05T18:08:42Z","title_canon_sha256":"fd4240b8276230a99f260772a7f7315712f44520124ab6f705a89c914959dfc9"},"schema_version":"1.0","source":{"id":"1811.01889","kind":"arxiv","version":1}},"canonical_sha256":"813510e7191e1fca58023a9ed8fb188ffa6e076ab936db0a2723ebae88bc24de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"813510e7191e1fca58023a9ed8fb188ffa6e076ab936db0a2723ebae88bc24de","first_computed_at":"2026-05-18T00:01:32.995881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:32.995881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w3MRW1h5TpWbCrGZK8wk1iMP3kIEGDfx9TtaluGjvxzx5EXN0r5wbWCs+MeCvg+szOELrNr/490+jKTtZj59Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:32.996460Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.01889","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ec18e48beaa546ec66829944b184db5a497ffc93a40d827de349b6c420b49cd","sha256:1d6f0023165a5172c5f9d797ba87cf69850504aa653a1555a0440acf628b7e26"],"state_sha256":"97227ce95e7e208e233819a25b1a5670fa80281f34b5e54ab8ee8656a5c233b2"}