{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZGU4NYHJPFODLTP5T7DALTMZFD","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":"d1e83d602d459abe7ab558967089feb38d8636484646f19ad290254a6fbe795d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-03-22T09:29:09Z","title_canon_sha256":"a3d8dea96a8a5253df1410f70b25a35c8ee7c201a7203693f59b577cf4494dce"},"schema_version":"1.0","source":{"id":"2403.15057","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.15057","created_at":"2026-07-05T08:14:46Z"},{"alias_kind":"arxiv_version","alias_value":"2403.15057v3","created_at":"2026-07-05T08:14:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.15057","created_at":"2026-07-05T08:14:46Z"},{"alias_kind":"pith_short_12","alias_value":"ZGU4NYHJPFOD","created_at":"2026-07-05T08:14:46Z"},{"alias_kind":"pith_short_16","alias_value":"ZGU4NYHJPFODLTP5","created_at":"2026-07-05T08:14:46Z"},{"alias_kind":"pith_short_8","alias_value":"ZGU4NYHJ","created_at":"2026-07-05T08:14:46Z"}],"graph_snapshots":[{"event_id":"sha256:a0919ef1f1bbb2da3018cdd4360e346cda71bcc0ed9467df464c1749b7b63313","target":"graph","created_at":"2026-07-05T08:14:46Z","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/2403.15057/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a nonvariational setting for the Neumann problem for harmonic functions that are H\\\"{o}lder continuous and that may have infinite Dirichlet integral. Then we introduce a space of distributions on the boundary (a space of first order traces for H\\\"{o}lder continuous harmonic functions), we analyze the properties of the corresponding distributional single layer potential and we prove a representation theorem for harmonic H\\\"{o}lder continuous functions in terms of distributional single layer potentials. As an application, we solve the interior and exterior Neumann problem with distrib","authors_text":"M. Lanza de Cristoforis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-03-22T09:29:09Z","title":"A nonvariational form of the Neumann problem for H\\\"{o}lder continuous harmonic functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.15057","kind":"arxiv","version":3},"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":"sha256:48414ac20963b65d93b9f48b81d31735da74a82cdad59ffd2bbf07e7855eee7e","target":"record","created_at":"2026-07-05T08:14:46Z","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":"d1e83d602d459abe7ab558967089feb38d8636484646f19ad290254a6fbe795d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-03-22T09:29:09Z","title_canon_sha256":"a3d8dea96a8a5253df1410f70b25a35c8ee7c201a7203693f59b577cf4494dce"},"schema_version":"1.0","source":{"id":"2403.15057","kind":"arxiv","version":3}},"canonical_sha256":"c9a9c6e0e9795c35cdfd9fc605cd9928dec84995106ee28aebefce501079ef1b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9a9c6e0e9795c35cdfd9fc605cd9928dec84995106ee28aebefce501079ef1b","first_computed_at":"2026-07-05T08:14:46.543996Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:14:46.543996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SrE8mXWnUmVYNZyKCJCqOCc5cfzG3tYysq4+2afDDTIJaNMAJaMoOhTjUioyVT3Q9PQuHW+THV8f1NUmo2UpDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:14:46.544451Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.15057","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48414ac20963b65d93b9f48b81d31735da74a82cdad59ffd2bbf07e7855eee7e","sha256:a0919ef1f1bbb2da3018cdd4360e346cda71bcc0ed9467df464c1749b7b63313"],"state_sha256":"c968b87e335a96ffc7e960cff87217485b24b99f7fb8d46269432e272bc62213"}