{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:LHIN4UAWT4WQQLZH6ROYH66436","short_pith_number":"pith:LHIN4UAW","canonical_record":{"source":{"id":"1104.2533","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-04-13T15:54:02Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"d4a64c2083306e63430ac89f48bba2ffcdf355ca2ea4d82fb50818d6a1f76d71","abstract_canon_sha256":"4a2e211b25badec4bb94d791bc6dcbaa23e6eb55d779b2077c7e8847441ebbf2"},"schema_version":"1.0"},"canonical_sha256":"59d0de50169f2d082f27f45d83fbdcdfb44f38f6dec03203aa551146c971247a","source":{"kind":"arxiv","id":"1104.2533","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2533","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2533v2","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2533","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"pith_short_12","alias_value":"LHIN4UAWT4WQ","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LHIN4UAWT4WQQLZH","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LHIN4UAW","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:LHIN4UAWT4WQQLZH6ROYH66436","target":"record","payload":{"canonical_record":{"source":{"id":"1104.2533","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-04-13T15:54:02Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"d4a64c2083306e63430ac89f48bba2ffcdf355ca2ea4d82fb50818d6a1f76d71","abstract_canon_sha256":"4a2e211b25badec4bb94d791bc6dcbaa23e6eb55d779b2077c7e8847441ebbf2"},"schema_version":"1.0"},"canonical_sha256":"59d0de50169f2d082f27f45d83fbdcdfb44f38f6dec03203aa551146c971247a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:11.382501Z","signature_b64":"xYHziriDQlR1Qe/KdKxwghlO3gLvpKb2+QhGxWy5HVi8xSDWgKQs0r1Fidgf0Hk/pxisT0N0SVoJFmUiQX3RDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59d0de50169f2d082f27f45d83fbdcdfb44f38f6dec03203aa551146c971247a","last_reissued_at":"2026-05-18T04:23:11.382103Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:11.382103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.2533","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:23:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ozg8w75eRGIB1LA2cluvoZEjao5dnLTXGCSI6noxDxHcFG/iDly5uqLsCmR35+xpvVLjat3gCiaJvG0skDrKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:01:00.683425Z"},"content_sha256":"812d9b8f4e8f4d58c96fb7c360796edb5f04b08b21bfa7e389bff92801e1fba6","schema_version":"1.0","event_id":"sha256:812d9b8f4e8f4d58c96fb7c360796edb5f04b08b21bfa7e389bff92801e1fba6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:LHIN4UAWT4WQQLZH6ROYH66436","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.FA","authors_text":"David Scheinker","submitted_at":"2011-04-13T15:54:02Z","abstract_excerpt":"In the paper `Distinguished Varieties,' Agler and McCarthy used Hilbert function spaces to study the uniqueness properties of the Nevanlinna-Pick problem on the bidisc. In this work we give a geometric procedure for constructing a Nevanlinna-Pick problems on D^n with a specified set of uniqueness. On the way to establishing this procedure, we prove a result about Hilbert function spaces and partially answer a question posed by Agler and McCarthy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2533","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:23:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pMxFLLv6ZhTy3l8JJt1OKjDCIrg0HTNBjU9b+M1ZJXoYPKnc7hOuFKHxlTbxceWWrsF4A9w3jWGJEsM70FJ6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:01:00.683991Z"},"content_sha256":"023897f8c50454423a7d8c1f7cc7106734ca8a3c272cc917d0f4b096993dc1cb","schema_version":"1.0","event_id":"sha256:023897f8c50454423a7d8c1f7cc7106734ca8a3c272cc917d0f4b096993dc1cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LHIN4UAWT4WQQLZH6ROYH66436/bundle.json","state_url":"https://pith.science/pith/LHIN4UAWT4WQQLZH6ROYH66436/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LHIN4UAWT4WQQLZH6ROYH66436/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T02:01:00Z","links":{"resolver":"https://pith.science/pith/LHIN4UAWT4WQQLZH6ROYH66436","bundle":"https://pith.science/pith/LHIN4UAWT4WQQLZH6ROYH66436/bundle.json","state":"https://pith.science/pith/LHIN4UAWT4WQQLZH6ROYH66436/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LHIN4UAWT4WQQLZH6ROYH66436/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LHIN4UAWT4WQQLZH6ROYH66436","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":"4a2e211b25badec4bb94d791bc6dcbaa23e6eb55d779b2077c7e8847441ebbf2","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-04-13T15:54:02Z","title_canon_sha256":"d4a64c2083306e63430ac89f48bba2ffcdf355ca2ea4d82fb50818d6a1f76d71"},"schema_version":"1.0","source":{"id":"1104.2533","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2533","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2533v2","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2533","created_at":"2026-05-18T04:23:11Z"},{"alias_kind":"pith_short_12","alias_value":"LHIN4UAWT4WQ","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LHIN4UAWT4WQQLZH","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LHIN4UAW","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:023897f8c50454423a7d8c1f7cc7106734ca8a3c272cc917d0f4b096993dc1cb","target":"graph","created_at":"2026-05-18T04:23:11Z","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 the paper `Distinguished Varieties,' Agler and McCarthy used Hilbert function spaces to study the uniqueness properties of the Nevanlinna-Pick problem on the bidisc. In this work we give a geometric procedure for constructing a Nevanlinna-Pick problems on D^n with a specified set of uniqueness. On the way to establishing this procedure, we prove a result about Hilbert function spaces and partially answer a question posed by Agler and McCarthy.","authors_text":"David Scheinker","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-04-13T15:54:02Z","title":"Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2533","kind":"arxiv","version":2},"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":"sha256:812d9b8f4e8f4d58c96fb7c360796edb5f04b08b21bfa7e389bff92801e1fba6","target":"record","created_at":"2026-05-18T04:23:11Z","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":"4a2e211b25badec4bb94d791bc6dcbaa23e6eb55d779b2077c7e8847441ebbf2","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-04-13T15:54:02Z","title_canon_sha256":"d4a64c2083306e63430ac89f48bba2ffcdf355ca2ea4d82fb50818d6a1f76d71"},"schema_version":"1.0","source":{"id":"1104.2533","kind":"arxiv","version":2}},"canonical_sha256":"59d0de50169f2d082f27f45d83fbdcdfb44f38f6dec03203aa551146c971247a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59d0de50169f2d082f27f45d83fbdcdfb44f38f6dec03203aa551146c971247a","first_computed_at":"2026-05-18T04:23:11.382103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:11.382103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xYHziriDQlR1Qe/KdKxwghlO3gLvpKb2+QhGxWy5HVi8xSDWgKQs0r1Fidgf0Hk/pxisT0N0SVoJFmUiQX3RDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:11.382501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.2533","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:812d9b8f4e8f4d58c96fb7c360796edb5f04b08b21bfa7e389bff92801e1fba6","sha256:023897f8c50454423a7d8c1f7cc7106734ca8a3c272cc917d0f4b096993dc1cb"],"state_sha256":"2d9c2b8da36f106d12195ec0b8dc86b89f9510b1e74b4118f335eb42f1f6d9cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6BGvYAX+UBmJrpBGafxeDmU9n/EOTuqK/R6kLcRVIKBR67H4ktgPHlLaQ/5A5PMTH+gtYcQZf+tzu9VeFaJNDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T02:01:00.687912Z","bundle_sha256":"5d1960bafe7894b22ed16b1694c918f1e951114eab8229c096d84431df8af9a0"}}