{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IIDZTZE4QBDZZ5GJHPTUKM6NJP","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":"62e3fa3c0b7e4a257d1f1fd09d04bec233263520371d470a58c8d449c6a099ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-03-08T15:15:51Z","title_canon_sha256":"bfbe421f0af471b0c37834fb2c4a719ed0088c132f39c356c71c0041a25edd84"},"schema_version":"1.0","source":{"id":"1303.2594","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2594","created_at":"2026-05-18T03:31:18Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2594v1","created_at":"2026-05-18T03:31:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2594","created_at":"2026-05-18T03:31:18Z"},{"alias_kind":"pith_short_12","alias_value":"IIDZTZE4QBDZ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IIDZTZE4QBDZZ5GJ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IIDZTZE4","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:49f8fba46a08bbf62f1a0fdbcd3d291ac35a67467f42a4857415e2896d45b7c2","target":"graph","created_at":"2026-05-18T03:31:18Z","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 construct a Lipschitz function on $\\er^{2}$ which is locally convex on the complement of some totally disconnected compact set but not convex. Existence of such function disproves a theorem that appeared in a paper by L. Pasqualini and was also cited by other authors.","authors_text":"Dusan Pokorny","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-03-08T15:15:51Z","title":"Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2594","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":"sha256:116c9b51477a0b4af30767bd0c70e77bd8770b1a692193f3cb15edfb182cab13","target":"record","created_at":"2026-05-18T03:31:18Z","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":"62e3fa3c0b7e4a257d1f1fd09d04bec233263520371d470a58c8d449c6a099ec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-03-08T15:15:51Z","title_canon_sha256":"bfbe421f0af471b0c37834fb2c4a719ed0088c132f39c356c71c0041a25edd84"},"schema_version":"1.0","source":{"id":"1303.2594","kind":"arxiv","version":1}},"canonical_sha256":"420799e49c80479cf4c93be74533cd4bcd53d800adf26836e6ab43c9016d8a65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"420799e49c80479cf4c93be74533cd4bcd53d800adf26836e6ab43c9016d8a65","first_computed_at":"2026-05-18T03:31:18.545714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:18.545714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2lmgpjzTY28wnOOhJZP2vmgfnA5OQAjoqgfX2OS+UJv4vZz9pGfAkuhIYAga04DoM9hgwU7qqTuCuSH5flATAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:18.546456Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2594","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:116c9b51477a0b4af30767bd0c70e77bd8770b1a692193f3cb15edfb182cab13","sha256:49f8fba46a08bbf62f1a0fdbcd3d291ac35a67467f42a4857415e2896d45b7c2"],"state_sha256":"fe6a390527386e622a0998a43a93fb165a860eb5e88f79885a97e00b3a23c766"}