{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IDS5JRL6LZKRRORYW2LAMPXMET","short_pith_number":"pith:IDS5JRL6","canonical_record":{"source":{"id":"1703.09319","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-27T21:37:05Z","cross_cats_sorted":[],"title_canon_sha256":"d120b17cb162408e7e55476ca6d43f229de52c333cda1bfd5c83c22691f2179f","abstract_canon_sha256":"6d8e132690411a4ea50903b6664f46b5efc91a8a720cd6094aa09c32252cdc30"},"schema_version":"1.0"},"canonical_sha256":"40e5d4c57e5e5518ba38b696063eec24ca189a13c3f2dc5eb0eebed450b7274d","source":{"kind":"arxiv","id":"1703.09319","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.09319","created_at":"2026-05-18T00:13:51Z"},{"alias_kind":"arxiv_version","alias_value":"1703.09319v5","created_at":"2026-05-18T00:13:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09319","created_at":"2026-05-18T00:13:51Z"},{"alias_kind":"pith_short_12","alias_value":"IDS5JRL6LZKR","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IDS5JRL6LZKRRORY","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IDS5JRL6","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IDS5JRL6LZKRRORYW2LAMPXMET","target":"record","payload":{"canonical_record":{"source":{"id":"1703.09319","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-27T21:37:05Z","cross_cats_sorted":[],"title_canon_sha256":"d120b17cb162408e7e55476ca6d43f229de52c333cda1bfd5c83c22691f2179f","abstract_canon_sha256":"6d8e132690411a4ea50903b6664f46b5efc91a8a720cd6094aa09c32252cdc30"},"schema_version":"1.0"},"canonical_sha256":"40e5d4c57e5e5518ba38b696063eec24ca189a13c3f2dc5eb0eebed450b7274d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:51.275415Z","signature_b64":"ABwXvJU6PaRTNBjjnmoEvjZ1i+3iSFSQXTIDoB5zUTURbL5PdzvG+gF5KnKWn4S1yyoELZne5noeoBjSb6I3Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40e5d4c57e5e5518ba38b696063eec24ca189a13c3f2dc5eb0eebed450b7274d","last_reissued_at":"2026-05-18T00:13:51.274583Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:51.274583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.09319","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:13:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hcqCzKieDRqHkEgkkMpoc1DiS+GltGf9GyYQwpCNStUJ/AcRkm/BI/62YfXg7TqpNjNWC0Znc1W7zlmD0AhjDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:21:08.780897Z"},"content_sha256":"ff4d585aebb53903e253e2a877c88059ee4f8788b6b664bc3c563e79354e40fa","schema_version":"1.0","event_id":"sha256:ff4d585aebb53903e253e2a877c88059ee4f8788b6b664bc3c563e79354e40fa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IDS5JRL6LZKRRORYW2LAMPXMET","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$t$-Structures for Relative $\\mathcal{D}$-Modules and $t$-Exactness of the de Rham Functor","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":"2017-03-27T21:37:05Z","abstract_excerpt":"This paper is a contribution to the study of relative holonomic $\\mathcal{D}$-modules. Contrary to the absolute case, the standard $t$-structure on holonomic $\\mathcal{D}$-modules is not preserved by duality and hence the solution functor is no longer $t$-exact with respect to the canonical, resp. middle-perverse, $t$-structures. We provide an explicit description of these dual $t$-structures. When the parameter space is 1-dimensional, we use this description to prove that the solution functor as well as the relative Riemann-Hilbert functor are $t$-exact with respect to the dual $t$-structure "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09319","kind":"arxiv","version":5},"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":"2026-05-18T00:13:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dcfB8ohLe0jHS8YEJw+vdt2bxuGfEOU9d+lcWxlVJY4CJPoX84x0gOcRjDmMeVCOlF98V+bLtjdhTsVCB5sHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:21:08.781543Z"},"content_sha256":"ea6a3fc5b721b09649dd2de12280061c7795455e1cc49f9e85033f99ba48606a","schema_version":"1.0","event_id":"sha256:ea6a3fc5b721b09649dd2de12280061c7795455e1cc49f9e85033f99ba48606a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IDS5JRL6LZKRRORYW2LAMPXMET/bundle.json","state_url":"https://pith.science/pith/IDS5JRL6LZKRRORYW2LAMPXMET/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IDS5JRL6LZKRRORYW2LAMPXMET/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":"2026-05-31T10:21:08Z","links":{"resolver":"https://pith.science/pith/IDS5JRL6LZKRRORYW2LAMPXMET","bundle":"https://pith.science/pith/IDS5JRL6LZKRRORYW2LAMPXMET/bundle.json","state":"https://pith.science/pith/IDS5JRL6LZKRRORYW2LAMPXMET/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IDS5JRL6LZKRRORYW2LAMPXMET/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IDS5JRL6LZKRRORYW2LAMPXMET","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":"6d8e132690411a4ea50903b6664f46b5efc91a8a720cd6094aa09c32252cdc30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-27T21:37:05Z","title_canon_sha256":"d120b17cb162408e7e55476ca6d43f229de52c333cda1bfd5c83c22691f2179f"},"schema_version":"1.0","source":{"id":"1703.09319","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.09319","created_at":"2026-05-18T00:13:51Z"},{"alias_kind":"arxiv_version","alias_value":"1703.09319v5","created_at":"2026-05-18T00:13:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09319","created_at":"2026-05-18T00:13:51Z"},{"alias_kind":"pith_short_12","alias_value":"IDS5JRL6LZKR","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IDS5JRL6LZKRRORY","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IDS5JRL6","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:ea6a3fc5b721b09649dd2de12280061c7795455e1cc49f9e85033f99ba48606a","target":"graph","created_at":"2026-05-18T00:13:51Z","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":"This paper is a contribution to the study of relative holonomic $\\mathcal{D}$-modules. Contrary to the absolute case, the standard $t$-structure on holonomic $\\mathcal{D}$-modules is not preserved by duality and hence the solution functor is no longer $t$-exact with respect to the canonical, resp. middle-perverse, $t$-structures. We provide an explicit description of these dual $t$-structures. When the parameter space is 1-dimensional, we use this description to prove that the solution functor as well as the relative Riemann-Hilbert functor are $t$-exact with respect to the dual $t$-structure ","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":"2017-03-27T21:37:05Z","title":"$t$-Structures for Relative $\\mathcal{D}$-Modules and $t$-Exactness of the de Rham Functor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09319","kind":"arxiv","version":5},"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:ff4d585aebb53903e253e2a877c88059ee4f8788b6b664bc3c563e79354e40fa","target":"record","created_at":"2026-05-18T00:13:51Z","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":"6d8e132690411a4ea50903b6664f46b5efc91a8a720cd6094aa09c32252cdc30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-27T21:37:05Z","title_canon_sha256":"d120b17cb162408e7e55476ca6d43f229de52c333cda1bfd5c83c22691f2179f"},"schema_version":"1.0","source":{"id":"1703.09319","kind":"arxiv","version":5}},"canonical_sha256":"40e5d4c57e5e5518ba38b696063eec24ca189a13c3f2dc5eb0eebed450b7274d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40e5d4c57e5e5518ba38b696063eec24ca189a13c3f2dc5eb0eebed450b7274d","first_computed_at":"2026-05-18T00:13:51.274583Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:51.274583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ABwXvJU6PaRTNBjjnmoEvjZ1i+3iSFSQXTIDoB5zUTURbL5PdzvG+gF5KnKWn4S1yyoELZne5noeoBjSb6I3Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:51.275415Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.09319","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff4d585aebb53903e253e2a877c88059ee4f8788b6b664bc3c563e79354e40fa","sha256:ea6a3fc5b721b09649dd2de12280061c7795455e1cc49f9e85033f99ba48606a"],"state_sha256":"60b130aff07e1709f8ce7a70c38874fc2340bc86991e9bf661953d2aebb80e4d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0kbnkmSZ9jc3QHnDCV0dJ3H9VKgrCxStqlTSKSTqL9GzbfCKJO4XRSGYUSTHPvl5sFegzbA5+p7auZ6uPrgeBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:21:08.784542Z","bundle_sha256":"8c11f5e0162e836c26dd6665f89c3612d3bc85749d19fc1e15ae5d5d6a23f990"}}