{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3DJ7JXAXBWSCLAX6BVH2YCU3A3","short_pith_number":"pith:3DJ7JXAX","schema_version":"1.0","canonical_sha256":"d8d3f4dc170da42582fe0d4fac0a9b06e468706879419e33584ecb26affe92fe","source":{"kind":"arxiv","id":"1707.06550","version":2},"attestation_state":"computed","paper":{"title":"Interpolation sets in spaces of continuous metric-valued functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Luis T\\'arrega, Mar\\'ia V. Ferrer, Salvador Hern\\'andez","submitted_at":"2017-07-20T14:50:15Z","abstract_excerpt":"Let $X$ and $M$ be a topological space and metric space, respectively. If $C(X,M)$ denotes the set of all continuous functions from X to M, we say that a subset $Y$ of $X$ is an \\emph{$M$-interpolation set} if given any function $g\\in M^Y$ with relatively compact range in $M$, there exists a map $f\\in C(X,M)$ such that $f_{|Y}=g$. In this paper, motivated by a result of Bourgain in \\cite{Bourgain1977}, we introduce a property, stronger than the mere \\emph{non equicontinuity} of a family of continuous functions, that isolates a crucial fact for the existence of interpolation sets in fairly gene"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1707.06550","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-07-20T14:50:15Z","cross_cats_sorted":[],"title_canon_sha256":"55db6430c326cd41e0ef26fbcb4f3dc72e7014eece8bcbca2c78d5bff379f23c","abstract_canon_sha256":"095d03200a8aba60de6c79862228d1308bf6ae30b9baa521a25c36793c0fb485"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:42.053509Z","signature_b64":"2QNjMOW5tn28/STSPWooSVhUF5I40ZoI0C5m+xVTvZZL6oZgryL/xSgtP14payox/NPWbKH2TxWgCSEJ20rUAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8d3f4dc170da42582fe0d4fac0a9b06e468706879419e33584ecb26affe92fe","last_reissued_at":"2026-05-18T00:19:42.052790Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:42.052790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interpolation sets in spaces of continuous metric-valued functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Luis T\\'arrega, Mar\\'ia V. Ferrer, Salvador Hern\\'andez","submitted_at":"2017-07-20T14:50:15Z","abstract_excerpt":"Let $X$ and $M$ be a topological space and metric space, respectively. If $C(X,M)$ denotes the set of all continuous functions from X to M, we say that a subset $Y$ of $X$ is an \\emph{$M$-interpolation set} if given any function $g\\in M^Y$ with relatively compact range in $M$, there exists a map $f\\in C(X,M)$ such that $f_{|Y}=g$. In this paper, motivated by a result of Bourgain in \\cite{Bourgain1977}, we introduce a property, stronger than the mere \\emph{non equicontinuity} of a family of continuous functions, that isolates a crucial fact for the existence of interpolation sets in fairly gene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06550","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1707.06550","created_at":"2026-05-18T00:19:42.052914+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.06550v2","created_at":"2026-05-18T00:19:42.052914+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06550","created_at":"2026-05-18T00:19:42.052914+00:00"},{"alias_kind":"pith_short_12","alias_value":"3DJ7JXAXBWSC","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3DJ7JXAXBWSCLAX6","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3DJ7JXAX","created_at":"2026-05-18T12:30:58.224056+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3DJ7JXAXBWSCLAX6BVH2YCU3A3","json":"https://pith.science/pith/3DJ7JXAXBWSCLAX6BVH2YCU3A3.json","graph_json":"https://pith.science/api/pith-number/3DJ7JXAXBWSCLAX6BVH2YCU3A3/graph.json","events_json":"https://pith.science/api/pith-number/3DJ7JXAXBWSCLAX6BVH2YCU3A3/events.json","paper":"https://pith.science/paper/3DJ7JXAX"},"agent_actions":{"view_html":"https://pith.science/pith/3DJ7JXAXBWSCLAX6BVH2YCU3A3","download_json":"https://pith.science/pith/3DJ7JXAXBWSCLAX6BVH2YCU3A3.json","view_paper":"https://pith.science/paper/3DJ7JXAX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.06550&json=true","fetch_graph":"https://pith.science/api/pith-number/3DJ7JXAXBWSCLAX6BVH2YCU3A3/graph.json","fetch_events":"https://pith.science/api/pith-number/3DJ7JXAXBWSCLAX6BVH2YCU3A3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3DJ7JXAXBWSCLAX6BVH2YCU3A3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3DJ7JXAXBWSCLAX6BVH2YCU3A3/action/storage_attestation","attest_author":"https://pith.science/pith/3DJ7JXAXBWSCLAX6BVH2YCU3A3/action/author_attestation","sign_citation":"https://pith.science/pith/3DJ7JXAXBWSCLAX6BVH2YCU3A3/action/citation_signature","submit_replication":"https://pith.science/pith/3DJ7JXAXBWSCLAX6BVH2YCU3A3/action/replication_record"}},"created_at":"2026-05-18T00:19:42.052914+00:00","updated_at":"2026-05-18T00:19:42.052914+00:00"}