{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:H3FCY65GG5OLN2IKJRBL6P6TED","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":"caf44beac1031fe4c3718fd7383de10d832f0bf1358c6fd7dea7dd3e99a70705","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-10T14:17:48Z","title_canon_sha256":"f0a30e013b65652a08a98becc56b6887dda5ce7bca7c6cf53aa02ff8d329e253"},"schema_version":"1.0","source":{"id":"1907.04742","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.04742","created_at":"2026-07-05T01:17:37Z"},{"alias_kind":"arxiv_version","alias_value":"1907.04742v2","created_at":"2026-07-05T01:17:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.04742","created_at":"2026-07-05T01:17:37Z"},{"alias_kind":"pith_short_12","alias_value":"H3FCY65GG5OL","created_at":"2026-07-05T01:17:37Z"},{"alias_kind":"pith_short_16","alias_value":"H3FCY65GG5OLN2IK","created_at":"2026-07-05T01:17:37Z"},{"alias_kind":"pith_short_8","alias_value":"H3FCY65G","created_at":"2026-07-05T01:17:37Z"}],"graph_snapshots":[{"event_id":"sha256:38b29ce0889e79ede497fb3eece61276a214ee5c9f66c906b2fc91eeac916332","target":"graph","created_at":"2026-07-05T01:17:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1907.04742/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"There is a local-to-global $\\mathrm{Ext}$ spectral sequence $\\mathrm{E}_2^{p,q} = \\mathrm{H}^p(\\mathrm{L}, \\Omega^q_\\mathrm{L}) \\Rightarrow \\mathrm{Ext}^{p+q}(i_*\\mathscr{O}_\\mathrm{L}, i_*\\mathscr{O}_{\\mathrm{L}})$ for a smooth Lagrangian subvariety in a hyperk\\\"ahler variety. We prove its degeneration on $\\mathrm{E}_{2}$, and various generalisations thereof.","authors_text":"Borislav Mladenov","cross_cats":["math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-10T14:17:48Z","title":"Degeneration of spectral sequences and complex Lagrangian submanifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04742","kind":"arxiv","version":2},"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:d77ada2d6f0dccaac92b2c4df3051bc83b02abe0cb8835632787587ca1a00925","target":"record","created_at":"2026-07-05T01:17:37Z","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":"caf44beac1031fe4c3718fd7383de10d832f0bf1358c6fd7dea7dd3e99a70705","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-10T14:17:48Z","title_canon_sha256":"f0a30e013b65652a08a98becc56b6887dda5ce7bca7c6cf53aa02ff8d329e253"},"schema_version":"1.0","source":{"id":"1907.04742","kind":"arxiv","version":2}},"canonical_sha256":"3eca2c7ba6375cb6e90a4c42bf3fd320f2dc5129c0a9022a9f0897e73d56665b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3eca2c7ba6375cb6e90a4c42bf3fd320f2dc5129c0a9022a9f0897e73d56665b","first_computed_at":"2026-07-05T01:17:37.846670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:17:37.846670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HAdks87ejVI5mmYymco35R4a1WhoSKAnO8NDfKRL86dXBPN2TXYL4Q69G9lRZsCIsDdW2CuD6fqUWGs8uYNoCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:17:37.847082Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.04742","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d77ada2d6f0dccaac92b2c4df3051bc83b02abe0cb8835632787587ca1a00925","sha256:38b29ce0889e79ede497fb3eece61276a214ee5c9f66c906b2fc91eeac916332"],"state_sha256":"8ba1c604830c38b93a05eef160f0cce39130f9a443a4750262a146feb6d52438"}