{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GJWH63SMSGMTLMAL7BX5TOXLU4","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":"45388631c08b9e6d45d6905294a87b7f0a0ea4461dbf654baf5709aef792d045","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-17T12:16:55Z","title_canon_sha256":"7694ae619eba0a41fb4c1942800fa55626d733d4dcf13815e54975c776aab2d7"},"schema_version":"1.0","source":{"id":"1811.07151","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.07151","created_at":"2026-05-18T00:00:28Z"},{"alias_kind":"arxiv_version","alias_value":"1811.07151v1","created_at":"2026-05-18T00:00:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07151","created_at":"2026-05-18T00:00:28Z"},{"alias_kind":"pith_short_12","alias_value":"GJWH63SMSGMT","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GJWH63SMSGMTLMAL","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GJWH63SM","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:aafc0924a0a45e6fc96cf8c1db345527729c3b9160dfe4cc157e640869337699","target":"graph","created_at":"2026-05-18T00:00:28Z","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":"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. Monteiro Fernandes and C. 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 ","authors_text":"Luisa Fiorot, Teresa Monteiro Fernandes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-17T12:16:55Z","title":"Relative strongly regular holonomic ${\\mathcal{D}}$-modules and the Riemann-Hilbert correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07151","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":"sha256:164abe747f977f69dac62d0d5de8aabfdecc51c4b4a0315c0a639880099c6d0c","target":"record","created_at":"2026-05-18T00:00:28Z","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":"45388631c08b9e6d45d6905294a87b7f0a0ea4461dbf654baf5709aef792d045","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-17T12:16:55Z","title_canon_sha256":"7694ae619eba0a41fb4c1942800fa55626d733d4dcf13815e54975c776aab2d7"},"schema_version":"1.0","source":{"id":"1811.07151","kind":"arxiv","version":1}},"canonical_sha256":"326c7f6e4c919935b00bf86fd9baeba71681db319d828d6456c8602a3bd47dac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"326c7f6e4c919935b00bf86fd9baeba71681db319d828d6456c8602a3bd47dac","first_computed_at":"2026-05-18T00:00:28.783539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:28.783539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HYHfKuNlZklAD0O30aIyKunJkH4IlxQXmVd/lvbLpwWL9pAgGMHEpabacsBX7MnmxnFvPxVRXiPn2S5XUKVzBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:28.784090Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.07151","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:164abe747f977f69dac62d0d5de8aabfdecc51c4b4a0315c0a639880099c6d0c","sha256:aafc0924a0a45e6fc96cf8c1db345527729c3b9160dfe4cc157e640869337699"],"state_sha256":"0f969d95b9a46791e03d1ebefb52e2a11b4fda2aa1e4a9b04ca4f3dcb581b5ed"}