{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:GOVXCNYKM3RZK4CMCCR24IJM2U","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":"5507b017ab58eab1ffb018e456e3393efc14d6f6a6a0141af37e90a91d01de30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-05-28T22:13:06Z","title_canon_sha256":"86fc81e15b6311a3960e3580a9077ab8971352ced1409443830e82ef57fa1de5"},"schema_version":"1.0","source":{"id":"0905.4759","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.4759","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"arxiv_version","alias_value":"0905.4759v3","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.4759","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"pith_short_12","alias_value":"GOVXCNYKM3RZ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"GOVXCNYKM3RZK4CM","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"GOVXCNYK","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:47e3a8c9b9ba8297d2afde0ac9254d1605bf74253917035681ca95947c38d052","target":"graph","created_at":"2026-05-18T04:36:50Z","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 give an elementary proof of Sarason's solvability criterion for the Nevanlinna-Pick problem with boundary interpolation nodes and boundary target values. We also give a concrete parametrization of all solutions of such a problem. The proofs are based on a reduction method due to Julia and Nevanlinna. Reduction of functions corresponds to Schur complementation of the corresponding Pick matrices.","authors_text":"Jim Agler, N. J. Young","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-05-28T22:13:06Z","title":"Boundary Nevanlinna-Pick interpolation via reduction and augmentation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.4759","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":"sha256:6c48f44c470882f76d60617a50f2a7184f53d4a0705b8e5a05a1e3fa340be492","target":"record","created_at":"2026-05-18T04:36:50Z","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":"5507b017ab58eab1ffb018e456e3393efc14d6f6a6a0141af37e90a91d01de30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-05-28T22:13:06Z","title_canon_sha256":"86fc81e15b6311a3960e3580a9077ab8971352ced1409443830e82ef57fa1de5"},"schema_version":"1.0","source":{"id":"0905.4759","kind":"arxiv","version":3}},"canonical_sha256":"33ab71370a66e395704c10a3ae212cd50a601c32acd02bbd40e7048031d632bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33ab71370a66e395704c10a3ae212cd50a601c32acd02bbd40e7048031d632bf","first_computed_at":"2026-05-18T04:36:50.413088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:50.413088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y1xWZTdP1rdJbo22b1ZDxzp86a6i0FtcnNZiJ2rnbB4vr7cY+B+ErbefvBVBJWfjwvFV25XyRbBek81C2XKvDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:50.413775Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.4759","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c48f44c470882f76d60617a50f2a7184f53d4a0705b8e5a05a1e3fa340be492","sha256:47e3a8c9b9ba8297d2afde0ac9254d1605bf74253917035681ca95947c38d052"],"state_sha256":"37f1a997f2833eff6b6087611147efa6d8f0b8c731da49fbaad885c13fd5ee4a"}