{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VVVJKVKF7ZVTKKMB3WYFV6IAIW","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":"75df1891ad817c9de3fe5e52188656560eec7e9971aae61cfdfee273ff37fd15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-21T12:59:26Z","title_canon_sha256":"79f944d44578ab54559f520f08bfa26d51d3312ef3e1c298f083ff650ffb6b02"},"schema_version":"1.0","source":{"id":"1712.07917","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.07917","created_at":"2026-05-18T00:27:29Z"},{"alias_kind":"arxiv_version","alias_value":"1712.07917v1","created_at":"2026-05-18T00:27:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07917","created_at":"2026-05-18T00:27:29Z"},{"alias_kind":"pith_short_12","alias_value":"VVVJKVKF7ZVT","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VVVJKVKF7ZVTKKMB","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VVVJKVKF","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:7cfdb4ca8052ce6301a0c21c874c4d31c966be746ee4a46a7cf3a0b7d6b992ef","target":"graph","created_at":"2026-05-18T00:27:29Z","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 consider the boundary value problem associated to the divergence operator with vanishing Dirichlet boundary conditions and we prove the existence of classical solutions under slight assumptions on the regularity of the datum.","authors_text":"Luigi C. Berselli, Placido Longo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-21T12:59:26Z","title":"Classical solutions of the divergence equation with Dini-continuous datum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07917","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":"sha256:9989c1388d77df64e3e4cc6186984f4f215b7a7fe4ff3ee5ac778f3804b1d64a","target":"record","created_at":"2026-05-18T00:27:29Z","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":"75df1891ad817c9de3fe5e52188656560eec7e9971aae61cfdfee273ff37fd15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-21T12:59:26Z","title_canon_sha256":"79f944d44578ab54559f520f08bfa26d51d3312ef3e1c298f083ff650ffb6b02"},"schema_version":"1.0","source":{"id":"1712.07917","kind":"arxiv","version":1}},"canonical_sha256":"ad6a955545fe6b352981ddb05af90045980c5dfab2b8550b3023a5277cb311f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad6a955545fe6b352981ddb05af90045980c5dfab2b8550b3023a5277cb311f1","first_computed_at":"2026-05-18T00:27:29.337492Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:29.337492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tA48bJ9EnD/GSHIjp61oJmhH+zDAQNum7vxufSh7lXaZEDBuOpnKeDqnr1JoPsD28F0THDgJUFOYc6QFWQ3LAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:29.338293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.07917","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9989c1388d77df64e3e4cc6186984f4f215b7a7fe4ff3ee5ac778f3804b1d64a","sha256:7cfdb4ca8052ce6301a0c21c874c4d31c966be746ee4a46a7cf3a0b7d6b992ef"],"state_sha256":"92b8bf93d9ada367753367636a9971f497e571055669274ff111c5703e598f02"}