{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VGC73X5FLLGBCKEYB5BRP6KRTW","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":"a7480c8783cbd86312512a5c6cb545b786dd23ea5efa0c1896f348ca265eea9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-26T14:42:12Z","title_canon_sha256":"e2559c2af63b7a03a480ee04e62b830edb3da8d3adefc285f2340871883cf786"},"schema_version":"1.0","source":{"id":"1903.10931","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.10931","created_at":"2026-05-17T23:50:17Z"},{"alias_kind":"arxiv_version","alias_value":"1903.10931v1","created_at":"2026-05-17T23:50:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.10931","created_at":"2026-05-17T23:50:17Z"},{"alias_kind":"pith_short_12","alias_value":"VGC73X5FLLGB","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VGC73X5FLLGBCKEY","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VGC73X5F","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:78ca588d27ca3e0c5f614b29e2e61bf08825893df542b2226d38f692687c56fe","target":"graph","created_at":"2026-05-17T23:50:17Z","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 work we study regularity properties of solutions to fractional elliptic problems with mixed Dirichlet-Neumann boundary data when dealing with the Spectral Fractional Laplacian.","authors_text":"A.Ortega, E. Colorado, J. Carmona, T. Leonori","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-26T14:42:12Z","title":"Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.10931","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":"sha256:7094af608378dbe2ae7a3beaab545564d0a5dd3702ee85cc3c3885297cbdbb1b","target":"record","created_at":"2026-05-17T23:50:17Z","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":"a7480c8783cbd86312512a5c6cb545b786dd23ea5efa0c1896f348ca265eea9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-26T14:42:12Z","title_canon_sha256":"e2559c2af63b7a03a480ee04e62b830edb3da8d3adefc285f2340871883cf786"},"schema_version":"1.0","source":{"id":"1903.10931","kind":"arxiv","version":1}},"canonical_sha256":"a985fddfa55acc1128980f4317f9519d843948a0078bf9a3c48574369dd8d49b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a985fddfa55acc1128980f4317f9519d843948a0078bf9a3c48574369dd8d49b","first_computed_at":"2026-05-17T23:50:17.185632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:17.185632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1tt81PQRjoGibQVVZBSvGW8mNyygfjUmmhIgL6JXOjhdGuE+IbT+fwpzVf6e+9RMgf8eMImrCLOHCcU95Z54BQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:17.186289Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.10931","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7094af608378dbe2ae7a3beaab545564d0a5dd3702ee85cc3c3885297cbdbb1b","sha256:78ca588d27ca3e0c5f614b29e2e61bf08825893df542b2226d38f692687c56fe"],"state_sha256":"2b85408578fd051e687a6f851121c134e1f66f0098d3527bcec16ffc35327c81"}