{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PJFRLOHVS6WF3VB5BDBQW2I4A7","short_pith_number":"pith:PJFRLOHV","schema_version":"1.0","canonical_sha256":"7a4b15b8f597ac5dd43d08c30b691c07e9e6c78a424d8f1fac745e98d0376ea4","source":{"kind":"arxiv","id":"1208.6104","version":2},"attestation_state":"computed","paper":{"title":"On a reconstruction theorem for holonomic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Andrea D'Agnolo, Masaki Kashiwara","submitted_at":"2012-08-30T08:08:37Z","abstract_excerpt":"Let X be a complex manifold. The classical Riemann-Hilbert correspondence associates to a regular holonomic system M the C-constructible complex of its holomorphic solutions. Denote by t the affine coordinate in the complex projective line. If M is not necessarily regular, we associate to it the ind-R-constructible complex G of tempered holomorphic solutions to the exterior product of M with the D-module associated with the exponential e^t. We conjecture that this provides a Riemann-Hilbert correspondence for holonomic systems. We discuss the functoriality of this correspondence, we prove that"},"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":"1208.6104","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-30T08:08:37Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"6997f974e21e66a7ad0cd3e4044e09e02237be8bb45e2431d299a28643a5619e","abstract_canon_sha256":"89f56c0d5cd4588cbbe8a0c302b6e2d5796e74a9bbb074d3fa2a8f868bc1548a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:33.402256Z","signature_b64":"bujVZzek0htEFn9Kc5TmrkoTHCkB+qN7m8TiEHRLssm4PRJoU9VqSLzLLKTfm0fMGxqeFU4tzFntW6TBAGBBCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a4b15b8f597ac5dd43d08c30b691c07e9e6c78a424d8f1fac745e98d0376ea4","last_reissued_at":"2026-05-18T03:25:33.401833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:33.401833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a reconstruction theorem for holonomic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Andrea D'Agnolo, Masaki Kashiwara","submitted_at":"2012-08-30T08:08:37Z","abstract_excerpt":"Let X be a complex manifold. The classical Riemann-Hilbert correspondence associates to a regular holonomic system M the C-constructible complex of its holomorphic solutions. Denote by t the affine coordinate in the complex projective line. If M is not necessarily regular, we associate to it the ind-R-constructible complex G of tempered holomorphic solutions to the exterior product of M with the D-module associated with the exponential e^t. We conjecture that this provides a Riemann-Hilbert correspondence for holonomic systems. We discuss the functoriality of this correspondence, we prove that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.6104","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":"1208.6104","created_at":"2026-05-18T03:25:33.401892+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.6104v2","created_at":"2026-05-18T03:25:33.401892+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.6104","created_at":"2026-05-18T03:25:33.401892+00:00"},{"alias_kind":"pith_short_12","alias_value":"PJFRLOHVS6WF","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PJFRLOHVS6WF3VB5","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PJFRLOHV","created_at":"2026-05-18T12:27:18.751474+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/PJFRLOHVS6WF3VB5BDBQW2I4A7","json":"https://pith.science/pith/PJFRLOHVS6WF3VB5BDBQW2I4A7.json","graph_json":"https://pith.science/api/pith-number/PJFRLOHVS6WF3VB5BDBQW2I4A7/graph.json","events_json":"https://pith.science/api/pith-number/PJFRLOHVS6WF3VB5BDBQW2I4A7/events.json","paper":"https://pith.science/paper/PJFRLOHV"},"agent_actions":{"view_html":"https://pith.science/pith/PJFRLOHVS6WF3VB5BDBQW2I4A7","download_json":"https://pith.science/pith/PJFRLOHVS6WF3VB5BDBQW2I4A7.json","view_paper":"https://pith.science/paper/PJFRLOHV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.6104&json=true","fetch_graph":"https://pith.science/api/pith-number/PJFRLOHVS6WF3VB5BDBQW2I4A7/graph.json","fetch_events":"https://pith.science/api/pith-number/PJFRLOHVS6WF3VB5BDBQW2I4A7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PJFRLOHVS6WF3VB5BDBQW2I4A7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PJFRLOHVS6WF3VB5BDBQW2I4A7/action/storage_attestation","attest_author":"https://pith.science/pith/PJFRLOHVS6WF3VB5BDBQW2I4A7/action/author_attestation","sign_citation":"https://pith.science/pith/PJFRLOHVS6WF3VB5BDBQW2I4A7/action/citation_signature","submit_replication":"https://pith.science/pith/PJFRLOHVS6WF3VB5BDBQW2I4A7/action/replication_record"}},"created_at":"2026-05-18T03:25:33.401892+00:00","updated_at":"2026-05-18T03:25:33.401892+00:00"}