{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FZBAC7GOEY5LCDIEM7GAPPYXCZ","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":"08972eb76caa35adc4d5de5497090a5fb71adad3bfdbe31ac18a863ae4f2ac20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-15T17:39:47Z","title_canon_sha256":"56861758500fadf15cf7b6fc0d3e3bd47e29550946da7e39bb136675f59bb480"},"schema_version":"1.0","source":{"id":"1705.05349","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05349","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05349v1","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05349","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"pith_short_12","alias_value":"FZBAC7GOEY5L","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FZBAC7GOEY5LCDIE","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FZBAC7GO","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:b62d8eb4b9c137a55c033051ce6b00559a475e52716ddaeb9127b3d1a2a9175e","target":"graph","created_at":"2026-05-18T00:44:30Z","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":"Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables. The duality realized by the residue generator associated with an underlying Gorenstein algebra, using the Lagrange interpolation polynomial, plays a key role in the arguments.","authors_text":"Alain Yger, Daniel Alpay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-15T17:39:47Z","title":"About a non-standard interpolation problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05349","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":"sha256:8297d8b1aaa2ded55bf5f7f3ba6fc1263519ab07422b747ab3888883816690b4","target":"record","created_at":"2026-05-18T00:44:30Z","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":"08972eb76caa35adc4d5de5497090a5fb71adad3bfdbe31ac18a863ae4f2ac20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-15T17:39:47Z","title_canon_sha256":"56861758500fadf15cf7b6fc0d3e3bd47e29550946da7e39bb136675f59bb480"},"schema_version":"1.0","source":{"id":"1705.05349","kind":"arxiv","version":1}},"canonical_sha256":"2e42017cce263ab10d0467cc07bf17166f02df9a2eea35cb9895c288df8b73d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e42017cce263ab10d0467cc07bf17166f02df9a2eea35cb9895c288df8b73d7","first_computed_at":"2026-05-18T00:44:30.738603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:30.738603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0MLgd3otqbsAr9ZiEU7DfoCDpX0u6J8tUMV8XowmhcGZQMAZ1/PCPPjt2t2a0sXJFDFn1qMfo71lSuG4RetiCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:30.739215Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05349","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8297d8b1aaa2ded55bf5f7f3ba6fc1263519ab07422b747ab3888883816690b4","sha256:b62d8eb4b9c137a55c033051ce6b00559a475e52716ddaeb9127b3d1a2a9175e"],"state_sha256":"d3ba8f88e06142f3a6dee6a111f153e566c496a67d29ee4e0c89320160602372"}