{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7GPHEQGANY65KUELFJWSKA54FL","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":"711775f49eaa561f3630fbb6fc96abc3b8427c2be6a18724d115c7f33fddfb05","cross_cats_sorted":["math.CV","math.FA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-29T19:34:10Z","title_canon_sha256":"942c98d65f9ac96a499e915271e940d5df5a2cd0e80cd5d0b5c9d684f06ce796"},"schema_version":"1.0","source":{"id":"1401.7633","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7633","created_at":"2026-05-18T01:35:20Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7633v4","created_at":"2026-05-18T01:35:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7633","created_at":"2026-05-18T01:35:20Z"},{"alias_kind":"pith_short_12","alias_value":"7GPHEQGANY65","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7GPHEQGANY65KUEL","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7GPHEQGA","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:40b54b9575d1a3c7903ee97d8a2a71c55ccea96c4a75caeccb08777f8c6c07b6","target":"graph","created_at":"2026-05-18T01:35:20Z","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 an overdetermined problem for Laplace equation on a disk with partial boundary data where additional pointwise data inside the disk have to be taken into account. After reformulation, this ill-posed problem reduces to a bounded extremal problem of best norm-constrained approximation of partial L2 boundary data by traces of holomorphic functions which satisfy given pointwise interpolation conditions. The problem of best norm-constrained approximation of a given L2 function on a subset of the circle by the trace of a H2 function has been considered in [Baratchart \\& Leblond, 1998]. I","authors_text":"Dmitry Ponomarev (APICS), Juliette Leblond (APICS), Laurent Baratchart (APICS)","cross_cats":["math.CV","math.FA","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-29T19:34:10Z","title":"Constrained optimization in classes of analytic functions with prescribed pointwise values"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7633","kind":"arxiv","version":4},"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":"sha256:82e879557b9e40228f470a4f69f12769ab1611b50faf91adbb50ee7bd1d62971","target":"record","created_at":"2026-05-18T01:35:20Z","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":"711775f49eaa561f3630fbb6fc96abc3b8427c2be6a18724d115c7f33fddfb05","cross_cats_sorted":["math.CV","math.FA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-29T19:34:10Z","title_canon_sha256":"942c98d65f9ac96a499e915271e940d5df5a2cd0e80cd5d0b5c9d684f06ce796"},"schema_version":"1.0","source":{"id":"1401.7633","kind":"arxiv","version":4}},"canonical_sha256":"f99e7240c06e3dd5508b2a6d2503bc2af6cff4e0f6a5f59d87f0fa6a6cccd5c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f99e7240c06e3dd5508b2a6d2503bc2af6cff4e0f6a5f59d87f0fa6a6cccd5c7","first_computed_at":"2026-05-18T01:35:20.808257Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:20.808257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mFOD3EXrB/mQk0TAn1mt8DjFpJ0GLQrg/p8DQ/lTxw3CMZNMZQbca8G2Y27mSjFN6YY1/opL9aq728muJoUvCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:20.809123Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.7633","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82e879557b9e40228f470a4f69f12769ab1611b50faf91adbb50ee7bd1d62971","sha256:40b54b9575d1a3c7903ee97d8a2a71c55ccea96c4a75caeccb08777f8c6c07b6"],"state_sha256":"6fc905d22880e3a24da8207d255459ce99fcef83424dcbaf1db7c846b1d8d8be"}