{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:6DSZATW7NHUX35TMKQP5DLR6HV","short_pith_number":"pith:6DSZATW7","schema_version":"1.0","canonical_sha256":"f0e5904edf69e97df66c541fd1ae3e3d4ee9e550b692da984402e380edeb6ea7","source":{"kind":"arxiv","id":"2009.01962","version":4},"attestation_state":"computed","paper":{"title":"Uniformization and Constructive Analytic Continuation of Taylor Series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.CA","math.MP"],"primary_cat":"math.CV","authors_text":"Gerald V. Dunne, Ovidiu Costin","submitted_at":"2020-09-03T23:47:42Z","abstract_excerpt":"We analyze the problem of global reconstruction of functions as accurately as possible, based on partial information in the form of a truncated power series at some point, and additional analyticity properties. This situation occurs frequently in applications. The question of the optimal procedure was open, and we formulate it as a well-posed mathematical problem. Its solution leads to a practical method which provides dramatic accuracy improvements over existing techniques. Our procedure is based on uniformization of Riemann surfaces. As an application, we show that our procedure can be imple"},"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":"2009.01962","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2020-09-03T23:47:42Z","cross_cats_sorted":["hep-th","math-ph","math.CA","math.MP"],"title_canon_sha256":"702d0a69c24ba059a0d7a00d2abd5fe88f9ea3496854289e1d73bf964d0572c2","abstract_canon_sha256":"769e8290f98b459d09bd1646142afbe452370f419d5ebf8da0d5bc6d23052f43"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:26:44.356881Z","signature_b64":"YIFCVNHmpqVw+FBkrZ/g6X64FWCpzR76ny6jOVe/0FVwBGzEIffBnpT2VeUAxOzgdj5RywKiuBQGHRAsciq3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0e5904edf69e97df66c541fd1ae3e3d4ee9e550b692da984402e380edeb6ea7","last_reissued_at":"2026-07-05T04:26:44.356438Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:26:44.356438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uniformization and Constructive Analytic Continuation of Taylor Series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.CA","math.MP"],"primary_cat":"math.CV","authors_text":"Gerald V. Dunne, Ovidiu Costin","submitted_at":"2020-09-03T23:47:42Z","abstract_excerpt":"We analyze the problem of global reconstruction of functions as accurately as possible, based on partial information in the form of a truncated power series at some point, and additional analyticity properties. This situation occurs frequently in applications. The question of the optimal procedure was open, and we formulate it as a well-posed mathematical problem. Its solution leads to a practical method which provides dramatic accuracy improvements over existing techniques. Our procedure is based on uniformization of Riemann surfaces. As an application, we show that our procedure can be imple"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.01962","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2009.01962/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2009.01962","created_at":"2026-07-05T04:26:44.356493+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.01962v4","created_at":"2026-07-05T04:26:44.356493+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.01962","created_at":"2026-07-05T04:26:44.356493+00:00"},{"alias_kind":"pith_short_12","alias_value":"6DSZATW7NHUX","created_at":"2026-07-05T04:26:44.356493+00:00"},{"alias_kind":"pith_short_16","alias_value":"6DSZATW7NHUX35TM","created_at":"2026-07-05T04:26:44.356493+00:00"},{"alias_kind":"pith_short_8","alias_value":"6DSZATW7","created_at":"2026-07-05T04:26:44.356493+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":8,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.26637","citing_title":"Weak-Strong Resurgence Duality","ref_index":22,"is_internal_anchor":false},{"citing_arxiv_id":"2606.12622","citing_title":"Analytic structure of the QCD phase diagram in the complex-temperature plane","ref_index":26,"is_internal_anchor":false},{"citing_arxiv_id":"2606.12529","citing_title":"Analytic approaches to perturbations of strongly coupled Yang-Mills plasma","ref_index":75,"is_internal_anchor":false},{"citing_arxiv_id":"2212.04599","citing_title":"Resurgence of the Effective Action in Inhomogeneous Fields","ref_index":51,"is_internal_anchor":false},{"citing_arxiv_id":"2505.14441","citing_title":"Orientation Reversal and the Chern-Simons Natural Boundary","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2508.10112","citing_title":"$c_{\\rm eff}$ from Resurgence at the Stokes Line","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2511.15528","citing_title":"Introductory Lectures on Resurgence: CERN Summer School 2024","ref_index":82,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04027","citing_title":"Pade Approximants for Geodesy","ref_index":16,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6DSZATW7NHUX35TMKQP5DLR6HV","json":"https://pith.science/pith/6DSZATW7NHUX35TMKQP5DLR6HV.json","graph_json":"https://pith.science/api/pith-number/6DSZATW7NHUX35TMKQP5DLR6HV/graph.json","events_json":"https://pith.science/api/pith-number/6DSZATW7NHUX35TMKQP5DLR6HV/events.json","paper":"https://pith.science/paper/6DSZATW7"},"agent_actions":{"view_html":"https://pith.science/pith/6DSZATW7NHUX35TMKQP5DLR6HV","download_json":"https://pith.science/pith/6DSZATW7NHUX35TMKQP5DLR6HV.json","view_paper":"https://pith.science/paper/6DSZATW7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.01962&json=true","fetch_graph":"https://pith.science/api/pith-number/6DSZATW7NHUX35TMKQP5DLR6HV/graph.json","fetch_events":"https://pith.science/api/pith-number/6DSZATW7NHUX35TMKQP5DLR6HV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6DSZATW7NHUX35TMKQP5DLR6HV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6DSZATW7NHUX35TMKQP5DLR6HV/action/storage_attestation","attest_author":"https://pith.science/pith/6DSZATW7NHUX35TMKQP5DLR6HV/action/author_attestation","sign_citation":"https://pith.science/pith/6DSZATW7NHUX35TMKQP5DLR6HV/action/citation_signature","submit_replication":"https://pith.science/pith/6DSZATW7NHUX35TMKQP5DLR6HV/action/replication_record"}},"created_at":"2026-07-05T04:26:44.356493+00:00","updated_at":"2026-07-05T04:26:44.356493+00:00"}