{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:WT4UYC2KUICFO2U3D6D2K5D3LZ","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":"fa1cef73bed7bb74fa4ef7b79472325729afcaffd33dcab878a56fddc31378ff","cross_cats_sorted":["math.AP"],"license":"","primary_cat":"math.AG","submitted_at":"2002-03-10T03:24:55Z","title_canon_sha256":"432febe460640d00e7e626394759d63c72314b2a596df4c94ee3e5ad0aac0883"},"schema_version":"1.0","source":{"id":"math/0203091","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0203091","created_at":"2026-05-18T01:23:59Z"},{"alias_kind":"arxiv_version","alias_value":"math/0203091v1","created_at":"2026-05-18T01:23:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0203091","created_at":"2026-05-18T01:23:59Z"},{"alias_kind":"pith_short_12","alias_value":"WT4UYC2KUICF","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"WT4UYC2KUICFO2U3","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"WT4UYC2K","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:c864391dcb35c27a3036c46c4bf47bc139910f9a70fa64713a0e7a60c4ef5f81","target":"graph","created_at":"2026-05-18T01:23:59Z","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 study the truncated microsupport $Ss_k$ of sheaves on a real manifold. Applying our results to the case of $F=RHom_D(M,O)$, the complex of holomorphic solutions of a coherent $D$-module $M$, we show that $Ss_k(F)$ is completely determined by the characteristic variety of $M$. As an application, we obtain an extension theorem for the sections of $H^j(F)$, $j<d$, defined on an open subset whose boundary is non characteristic outside of a complex analytic subvariety of codimension $d$. We also give a characterization of the perversity for ${\\bf C}$-constructible sheaves in terms of their trunc","authors_text":"Masaki Kashiwara, Pierre Schapira, Teresa Monteiro Fernandes","cross_cats":["math.AP"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2002-03-10T03:24:55Z","title":"Truncated microsupport and holomorphic solutions of D-modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0203091","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:c7d1895891ce3e8e76b89e571186539d549f68021ef05e2e771acf36d9536ef2","target":"record","created_at":"2026-05-18T01:23:59Z","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":"fa1cef73bed7bb74fa4ef7b79472325729afcaffd33dcab878a56fddc31378ff","cross_cats_sorted":["math.AP"],"license":"","primary_cat":"math.AG","submitted_at":"2002-03-10T03:24:55Z","title_canon_sha256":"432febe460640d00e7e626394759d63c72314b2a596df4c94ee3e5ad0aac0883"},"schema_version":"1.0","source":{"id":"math/0203091","kind":"arxiv","version":1}},"canonical_sha256":"b4f94c0b4aa204576a9b1f87a5747b5e7cf7809864b00ef0005380273525695e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4f94c0b4aa204576a9b1f87a5747b5e7cf7809864b00ef0005380273525695e","first_computed_at":"2026-05-18T01:23:59.517220Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:59.517220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oPn32g9gMUHK9Fn4KHEiF4kKfsfPrgMffInNhNCDR1Gk/o8+u8N6bKuFtHWk2Kh0vbY5pEgpfyRqBe6pSimEBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:59.517818Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0203091","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7d1895891ce3e8e76b89e571186539d549f68021ef05e2e771acf36d9536ef2","sha256:c864391dcb35c27a3036c46c4bf47bc139910f9a70fa64713a0e7a60c4ef5f81"],"state_sha256":"36f9cb9a2ae0daa848651addbac821972108ca0ee9c6c0346c90f731258ef95f"}