{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7I6AIUVOS3QADP6JHFYC2Y7OYH","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":"1120e50c03ad410038bd4e6507461b271775b6b0ace7a4442e23dbdde2f2e763","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2019-08-22T07:01:30Z","title_canon_sha256":"8fda08eb967e35c7d9792dc79a4907342925e6866aabf9de8a670c5c4fae7233"},"schema_version":"1.0","source":{"id":"1908.08224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.08224","created_at":"2026-07-04T23:59:10Z"},{"alias_kind":"arxiv_version","alias_value":"1908.08224v1","created_at":"2026-07-04T23:59:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.08224","created_at":"2026-07-04T23:59:10Z"},{"alias_kind":"pith_short_12","alias_value":"7I6AIUVOS3QA","created_at":"2026-07-04T23:59:10Z"},{"alias_kind":"pith_short_16","alias_value":"7I6AIUVOS3QADP6J","created_at":"2026-07-04T23:59:10Z"},{"alias_kind":"pith_short_8","alias_value":"7I6AIUVO","created_at":"2026-07-04T23:59:10Z"}],"graph_snapshots":[{"event_id":"sha256:8d1c2a0622796277c7ecf56594b68d4a9b02da36ee1aba42f40121b38ef752e2","target":"graph","created_at":"2026-07-04T23:59:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.08224/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article investigates the existence and uniqueness of solutions to the second order Volterra integrodifferential equations with nonlocal and boundary conditions through its integral equivalent equations and fixed point of Banach. Further, utilising the Picard operator theory we obtain the dependency of solutions on the initial nonlocal data and on functions involved on the right hand side of the equations.","authors_text":"J. Vanterler da C. Sousa, Kishor D. Kucche, Pallavi U. Shikhare","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2019-08-22T07:01:30Z","title":"Analysis of Volterra Integrodifferential Equations with Nonlocal and Boundary Conditions via Picard Operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.08224","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:ccbf5bcdbc20bba39eb16b103a50812a33f1e2897ba31a35d2d07903f18dc561","target":"record","created_at":"2026-07-04T23:59:10Z","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":"1120e50c03ad410038bd4e6507461b271775b6b0ace7a4442e23dbdde2f2e763","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2019-08-22T07:01:30Z","title_canon_sha256":"8fda08eb967e35c7d9792dc79a4907342925e6866aabf9de8a670c5c4fae7233"},"schema_version":"1.0","source":{"id":"1908.08224","kind":"arxiv","version":1}},"canonical_sha256":"fa3c0452ae96e001bfc939702d63eec1ec95c082ef727f69d367614aab916b12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa3c0452ae96e001bfc939702d63eec1ec95c082ef727f69d367614aab916b12","first_computed_at":"2026-07-04T23:59:10.699596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:59:10.699596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PogKvlCV55a6mKVxcmlmrmXnjN2N6mBBSlTyz9xISJz6yKSo+fp0xzI8s1rwSfKrQ25/Y5tkmnd0uJ96+imWDg==","signature_status":"signed_v1","signed_at":"2026-07-04T23:59:10.700050Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.08224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccbf5bcdbc20bba39eb16b103a50812a33f1e2897ba31a35d2d07903f18dc561","sha256:8d1c2a0622796277c7ecf56594b68d4a9b02da36ee1aba42f40121b38ef752e2"],"state_sha256":"0bb81d203c8066048f6e80d6efbe6c713070fca00b1416166f75a2651417c3da"}