{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:W5GYGSWTAATHND2GPQGOEMXBBF","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":"61eaab03299ef6139cdad10e071f779509f062a8fbc7c1e5c6a4385142094f94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-06T23:30:27Z","title_canon_sha256":"4df98d80ff4138ba230dc02ae09ddd1dc74e279f6ca4cc700a2916a3c0ae58d8"},"schema_version":"1.0","source":{"id":"1305.1355","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1355","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1355v3","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1355","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"W5GYGSWTAATH","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W5GYGSWTAATHND2G","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W5GYGSWT","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:69b7e1ff3263ddb92deef1a36b63abcbd73afc765104527f0df5090c2a952a41","target":"graph","created_at":"2026-05-18T01:31:46Z","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":"Inspired by symplectic geometry and a microlocal characterizations of perverse (constructible) sheaves we consider an alternative definition of perverse coherent sheaves. We show that a coherent sheaf is perverse if and only if $R\\Gamma_Z(\\mathcal{F})$ is concentrated in degree 0 for special subvarieties Z of X. These subvarieties Z are analogs of Lagrangians in the symplectic case.","authors_text":"Clemens Koppensteiner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-06T23:30:27Z","title":"Exact functors on perverse coherent sheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1355","kind":"arxiv","version":3},"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":"sha256:2c4540036d7e2f8760b8d3f9f4b35cfb41a541ddf450ecfd2a51cebd30c9186a","target":"record","created_at":"2026-05-18T01:31:46Z","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":"61eaab03299ef6139cdad10e071f779509f062a8fbc7c1e5c6a4385142094f94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-06T23:30:27Z","title_canon_sha256":"4df98d80ff4138ba230dc02ae09ddd1dc74e279f6ca4cc700a2916a3c0ae58d8"},"schema_version":"1.0","source":{"id":"1305.1355","kind":"arxiv","version":3}},"canonical_sha256":"b74d834ad30026768f467c0ce232e1094a78154c22cd4f4ce3a54650af88b3dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b74d834ad30026768f467c0ce232e1094a78154c22cd4f4ce3a54650af88b3dd","first_computed_at":"2026-05-18T01:31:46.841078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:46.841078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PVCwHKAhy4TtyiYf5qoSqRXFm6oLehLJeA6qeVxT8xNfXi4E8I/sY/+73OVCMEbOCUEZBm93lG12GYjv0hIUAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:46.841490Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.1355","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c4540036d7e2f8760b8d3f9f4b35cfb41a541ddf450ecfd2a51cebd30c9186a","sha256:69b7e1ff3263ddb92deef1a36b63abcbd73afc765104527f0df5090c2a952a41"],"state_sha256":"f646477064679229c6bb33fd1a2e9f6af3df61df1e300ad474c0bd0888d5e833"}