{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EIHHIY6D5CTL4BFNTIMKK2RWNL","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":"f590f584c441d246bf9a5df3b74a0cc960bd391fb339cd1f9f8ead6ebebae871","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-14T22:11:53Z","title_canon_sha256":"ec959872b8deefc194625aae79ee5b89e23f2626637770cd7d0a4413e1de11f6"},"schema_version":"1.0","source":{"id":"1805.06754","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.06754","created_at":"2026-05-18T00:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1805.06754v1","created_at":"2026-05-18T00:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06754","created_at":"2026-05-18T00:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"EIHHIY6D5CTL","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EIHHIY6D5CTL4BFN","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EIHHIY6D","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:8752f4019f94f31120640b032ce3d34134e7626d6466068f582cfd9cc7968969","target":"graph","created_at":"2026-05-18T00:15:43Z","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":"We obtain conditions for existence of unique global or maximally extended solutions to generalized neural field equations. We also study continuous dependence of these solutions on the spatiotemporal integration kernel, delay effects, firing rate and prehistory functions.","authors_text":"Arcady Ponosov, Evgenii Burlakov, Evgeny Zhukovskiy, John Wyller","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-14T22:11:53Z","title":"On wellposedness of generalized neural field equations with delay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06754","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":"sha256:3e2eff7d3eac36e2451a62992ae1f08f74cda72d8521cde29df77815ab8fef36","target":"record","created_at":"2026-05-18T00:15:43Z","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":"f590f584c441d246bf9a5df3b74a0cc960bd391fb339cd1f9f8ead6ebebae871","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-14T22:11:53Z","title_canon_sha256":"ec959872b8deefc194625aae79ee5b89e23f2626637770cd7d0a4413e1de11f6"},"schema_version":"1.0","source":{"id":"1805.06754","kind":"arxiv","version":1}},"canonical_sha256":"220e7463c3e8a6be04ad9a18a56a366ad798b4bae2891d5f788d06ce4d96d512","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"220e7463c3e8a6be04ad9a18a56a366ad798b4bae2891d5f788d06ce4d96d512","first_computed_at":"2026-05-18T00:15:43.441071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:43.441071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sl/As+d6WoovRPl7Im066FvfzN4sKvLQBAFGcGaDMivtZlRL2fyEFTVE0TBT4OQyrD0qyYARgPpsTBham5xmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:43.441550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.06754","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e2eff7d3eac36e2451a62992ae1f08f74cda72d8521cde29df77815ab8fef36","sha256:8752f4019f94f31120640b032ce3d34134e7626d6466068f582cfd9cc7968969"],"state_sha256":"a92c3de87b156b5f628735ae84703fe3aa839c703ca7569d83b19253c527dede"}