{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:G3XRPRK2S3HFGNMEZTVFA3LWTD","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":"b634fea63d1bc6eb74480d16a6d999303da09c1df402dfb7ce27148fdd8af3be","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-02-21T20:32:27Z","title_canon_sha256":"e82e7795f1ff20bdb43999b20755ffcfe03abdb4773c2b1172deeef3ba4d0377"},"schema_version":"1.0","source":{"id":"1302.5406","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5406","created_at":"2026-05-18T03:32:57Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5406v1","created_at":"2026-05-18T03:32:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5406","created_at":"2026-05-18T03:32:57Z"},{"alias_kind":"pith_short_12","alias_value":"G3XRPRK2S3HF","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"G3XRPRK2S3HFGNME","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"G3XRPRK2","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:a998c788c097c0a11cf7cfd6407e540e5a26800692e884b5e5a5ba130e98460f","target":"graph","created_at":"2026-05-18T03:32:57Z","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":"In \\cite{ds_hfs}, a geometric procedure for constructing a Nevanlinna-Pick problem on $\\D^n$ with a specified set of uniqueness was established. In this sequel we conjecture a necessary and a sufficient condition for a Nevanlinna-Pick problem on $\\DT$ to have a unique solution. We use the results of \\cite{ds_hfs} and Bezout's theorem to establish three special cases of this conjecture.","authors_text":"David Scheinker","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-02-21T20:32:27Z","title":"Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5406","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":"sha256:0464d567d2c26573c9a7ebbba01dc00f4cec46692b77ffee61d4e73a99ef03e7","target":"record","created_at":"2026-05-18T03:32:57Z","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":"b634fea63d1bc6eb74480d16a6d999303da09c1df402dfb7ce27148fdd8af3be","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-02-21T20:32:27Z","title_canon_sha256":"e82e7795f1ff20bdb43999b20755ffcfe03abdb4773c2b1172deeef3ba4d0377"},"schema_version":"1.0","source":{"id":"1302.5406","kind":"arxiv","version":1}},"canonical_sha256":"36ef17c55a96ce533584ccea506d7698c1b0c9695a0dc924ca4e1efdb488ed5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36ef17c55a96ce533584ccea506d7698c1b0c9695a0dc924ca4e1efdb488ed5f","first_computed_at":"2026-05-18T03:32:57.739527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:57.739527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Efsj64QG+tR6a4EpYjqrPjOO2qGbam8kVR6oQy38YaJ28E7Fye8FUNHRRO1x8fquo9XoPse9dcE0BBrEe45YAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:57.740360Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5406","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0464d567d2c26573c9a7ebbba01dc00f4cec46692b77ffee61d4e73a99ef03e7","sha256:a998c788c097c0a11cf7cfd6407e540e5a26800692e884b5e5a5ba130e98460f"],"state_sha256":"a8c8fe163591f80ab25fde519014ffb908d2d2a71fe7b95bacadaedd1ed6799f"}