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Sabbah in [14] takes image in ${\\mathsf{D}}^{\\mathrm{b}}_{\\mathrm{srhol}}({\\mathcal{D}}_{{X\\times S}/S})$ (complexes of ${\\mathcal{D}}_{{X\\times S}/S}$-module whose cohomologies are strongly regular). We prove that for $\\dim X=\\dim S=1$ the functor solution functor ${}^\\mathrm{p}{\\mathrm{Sol}}$ restricted to ${\\mathsf{D}}^{\\mathrm{b}}_{\\mathrm{srhol}}({\\mathcal{D}}_{{X\\times S}/S})$ is an equivalence of categories "},"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":"1811.07151","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-17T12:16:55Z","cross_cats_sorted":[],"title_canon_sha256":"7694ae619eba0a41fb4c1942800fa55626d733d4dcf13815e54975c776aab2d7","abstract_canon_sha256":"45388631c08b9e6d45d6905294a87b7f0a0ea4461dbf654baf5709aef792d045"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:28.784090Z","signature_b64":"HYHfKuNlZklAD0O30aIyKunJkH4IlxQXmVd/lvbLpwWL9pAgGMHEpabacsBX7MnmxnFvPxVRXiPn2S5XUKVzBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"326c7f6e4c919935b00bf86fd9baeba71681db319d828d6456c8602a3bd47dac","last_reissued_at":"2026-05-18T00:00:28.783539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:28.783539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relative strongly regular holonomic ${\\mathcal{D}}$-modules and the Riemann-Hilbert correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Luisa Fiorot, Teresa Monteiro Fernandes","submitted_at":"2018-11-17T12:16:55Z","abstract_excerpt":"We introduce the notion of strong regular holonomic ${\\mathcal{D}}_{{X\\times S}/S}$-module and we prove that the functor ${\\mathrm{RH}}^S$ introduced by T. 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We prove that for $\\dim X=\\dim S=1$ the functor solution functor ${}^\\mathrm{p}{\\mathrm{Sol}}$ restricted to ${\\mathsf{D}}^{\\mathrm{b}}_{\\mathrm{srhol}}({\\mathcal{D}}_{{X\\times S}/S})$ is an equivalence of categories "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07151","kind":"arxiv","version":1},"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":"1811.07151","created_at":"2026-05-18T00:00:28.783644+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.07151v1","created_at":"2026-05-18T00:00:28.783644+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07151","created_at":"2026-05-18T00:00:28.783644+00:00"},{"alias_kind":"pith_short_12","alias_value":"GJWH63SMSGMT","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GJWH63SMSGMTLMAL","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GJWH63SM","created_at":"2026-05-18T12:32:25.280505+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/GJWH63SMSGMTLMAL7BX5TOXLU4","json":"https://pith.science/pith/GJWH63SMSGMTLMAL7BX5TOXLU4.json","graph_json":"https://pith.science/api/pith-number/GJWH63SMSGMTLMAL7BX5TOXLU4/graph.json","events_json":"https://pith.science/api/pith-number/GJWH63SMSGMTLMAL7BX5TOXLU4/events.json","paper":"https://pith.science/paper/GJWH63SM"},"agent_actions":{"view_html":"https://pith.science/pith/GJWH63SMSGMTLMAL7BX5TOXLU4","download_json":"https://pith.science/pith/GJWH63SMSGMTLMAL7BX5TOXLU4.json","view_paper":"https://pith.science/paper/GJWH63SM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.07151&json=true","fetch_graph":"https://pith.science/api/pith-number/GJWH63SMSGMTLMAL7BX5TOXLU4/graph.json","fetch_events":"https://pith.science/api/pith-number/GJWH63SMSGMTLMAL7BX5TOXLU4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GJWH63SMSGMTLMAL7BX5TOXLU4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GJWH63SMSGMTLMAL7BX5TOXLU4/action/storage_attestation","attest_author":"https://pith.science/pith/GJWH63SMSGMTLMAL7BX5TOXLU4/action/author_attestation","sign_citation":"https://pith.science/pith/GJWH63SMSGMTLMAL7BX5TOXLU4/action/citation_signature","submit_replication":"https://pith.science/pith/GJWH63SMSGMTLMAL7BX5TOXLU4/action/replication_record"}},"created_at":"2026-05-18T00:00:28.783644+00:00","updated_at":"2026-05-18T00:00:28.783644+00:00"}