{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:F3LG6WK5BV65VN3LS42QZXWRT7","short_pith_number":"pith:F3LG6WK5","schema_version":"1.0","canonical_sha256":"2ed66f595d0d7ddab76b97350cded19fff1771babc1cc23a93576d517fd29e36","source":{"kind":"arxiv","id":"1903.04238","version":1},"attestation_state":"computed","paper":{"title":"Counting maximal Lagrangian subbundles over an algebraic curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daewoong Cheong, George H. Hitching, Insong Choe","submitted_at":"2019-03-11T12:07:25Z","abstract_excerpt":"Let $C$ be a smooth projective curve and $W$ a symplectic bundle over $C$. Let $LQ_e (W)$ be the Lagrangian Quot scheme parametrizing Lagrangian subsheaves $E \\subset W$ of degree $e$. We give a closed formula for intersection numbers on $LQ_e (W)$. As a special case, for $g \\ge 2$, we compute the number of Lagrangian subbundles of maximal degree of a general stable symplectic bundle, when this is finite. This is a symplectic analogue of Holla's enumeration of maximal subbundles in [13]."},"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":"1903.04238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-11T12:07:25Z","cross_cats_sorted":[],"title_canon_sha256":"85a8a4f6716b697a27c40127c16ebaa30f72cd1e26ee8d7014cd6f3a5cb3b1d7","abstract_canon_sha256":"10fbb0de40abaff3a6b8bc363a9dffba146a9b26df2313c97306b34557b6ba83"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:36.105993Z","signature_b64":"cOnPzem/RR7hxSbgAgDpKSPEohjDCKKjP6Kx+RsA9mmqnuSPgkoVL0V3sP+RhPFyOaQqfAurCqpGGZtpp/0/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ed66f595d0d7ddab76b97350cded19fff1771babc1cc23a93576d517fd29e36","last_reissued_at":"2026-05-17T23:51:36.105251Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:36.105251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Counting maximal Lagrangian subbundles over an algebraic curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daewoong Cheong, George H. Hitching, Insong Choe","submitted_at":"2019-03-11T12:07:25Z","abstract_excerpt":"Let $C$ be a smooth projective curve and $W$ a symplectic bundle over $C$. Let $LQ_e (W)$ be the Lagrangian Quot scheme parametrizing Lagrangian subsheaves $E \\subset W$ of degree $e$. We give a closed formula for intersection numbers on $LQ_e (W)$. As a special case, for $g \\ge 2$, we compute the number of Lagrangian subbundles of maximal degree of a general stable symplectic bundle, when this is finite. This is a symplectic analogue of Holla's enumeration of maximal subbundles in [13]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.04238","kind":"arxiv","version":1},"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":"1903.04238","created_at":"2026-05-17T23:51:36.105370+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.04238v1","created_at":"2026-05-17T23:51:36.105370+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.04238","created_at":"2026-05-17T23:51:36.105370+00:00"},{"alias_kind":"pith_short_12","alias_value":"F3LG6WK5BV65","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"F3LG6WK5BV65VN3L","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"F3LG6WK5","created_at":"2026-05-18T12:33:15.570797+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/F3LG6WK5BV65VN3LS42QZXWRT7","json":"https://pith.science/pith/F3LG6WK5BV65VN3LS42QZXWRT7.json","graph_json":"https://pith.science/api/pith-number/F3LG6WK5BV65VN3LS42QZXWRT7/graph.json","events_json":"https://pith.science/api/pith-number/F3LG6WK5BV65VN3LS42QZXWRT7/events.json","paper":"https://pith.science/paper/F3LG6WK5"},"agent_actions":{"view_html":"https://pith.science/pith/F3LG6WK5BV65VN3LS42QZXWRT7","download_json":"https://pith.science/pith/F3LG6WK5BV65VN3LS42QZXWRT7.json","view_paper":"https://pith.science/paper/F3LG6WK5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.04238&json=true","fetch_graph":"https://pith.science/api/pith-number/F3LG6WK5BV65VN3LS42QZXWRT7/graph.json","fetch_events":"https://pith.science/api/pith-number/F3LG6WK5BV65VN3LS42QZXWRT7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F3LG6WK5BV65VN3LS42QZXWRT7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F3LG6WK5BV65VN3LS42QZXWRT7/action/storage_attestation","attest_author":"https://pith.science/pith/F3LG6WK5BV65VN3LS42QZXWRT7/action/author_attestation","sign_citation":"https://pith.science/pith/F3LG6WK5BV65VN3LS42QZXWRT7/action/citation_signature","submit_replication":"https://pith.science/pith/F3LG6WK5BV65VN3LS42QZXWRT7/action/replication_record"}},"created_at":"2026-05-17T23:51:36.105370+00:00","updated_at":"2026-05-17T23:51:36.105370+00:00"}