{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:GIGFZX4AR6LHAZ7MDU6MZUIZZ3","short_pith_number":"pith:GIGFZX4A","schema_version":"1.0","canonical_sha256":"320c5cdf808f967067ec1d3cccd119cefed6cf72796d511f7cf2b23c6cdb71d1","source":{"kind":"arxiv","id":"1101.4606","version":3},"attestation_state":"computed","paper":{"title":"A survey of Torelli and monodromy results for holomorphic-symplectic varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Eyal Markman","submitted_at":"2011-01-24T18:03:47Z","abstract_excerpt":"We survey recent results about the Torelli question for holomorphic-symplectic varieties. Following are the main topics. A Hodge theoretic Torelli theorem. A study of the subgroup W, of the isometry group of the weight 2 Hodge structure, generated by reflection with respect to exceptional divisors. A description of the birational Kahler cone as a fundamental domain for the W-action on the positive cone. A proof of a weak version of Morrison's movable cone conjecture. A description of the moduli spaces of polarized holomorphic symplectic varieties as monodromy quotients of period domains of typ"},"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":"1101.4606","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-24T18:03:47Z","cross_cats_sorted":[],"title_canon_sha256":"71a8af7e09bd727e50d6b39e5845b5bc4aa0ebdad01850fb1a83ef9959f189c2","abstract_canon_sha256":"48bcc4b737d5b5d453604392319d60b7d7412feeeb929b330d27195cac4eb95f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:08.003808Z","signature_b64":"1UhY2o7VRtnDS4jD1pTxaczLiJt4lnkiOf20nQx6Zs5BxH1edRyT7M9fn0JY05Zxr/fMipxqABcIbVQiZKz/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"320c5cdf808f967067ec1d3cccd119cefed6cf72796d511f7cf2b23c6cdb71d1","last_reissued_at":"2026-05-18T04:06:08.003123Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:08.003123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A survey of Torelli and monodromy results for holomorphic-symplectic varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Eyal Markman","submitted_at":"2011-01-24T18:03:47Z","abstract_excerpt":"We survey recent results about the Torelli question for holomorphic-symplectic varieties. Following are the main topics. A Hodge theoretic Torelli theorem. A study of the subgroup W, of the isometry group of the weight 2 Hodge structure, generated by reflection with respect to exceptional divisors. A description of the birational Kahler cone as a fundamental domain for the W-action on the positive cone. A proof of a weak version of Morrison's movable cone conjecture. A description of the moduli spaces of polarized holomorphic symplectic varieties as monodromy quotients of period domains of typ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.4606","kind":"arxiv","version":3},"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":"1101.4606","created_at":"2026-05-18T04:06:08.003232+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.4606v3","created_at":"2026-05-18T04:06:08.003232+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.4606","created_at":"2026-05-18T04:06:08.003232+00:00"},{"alias_kind":"pith_short_12","alias_value":"GIGFZX4AR6LH","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"GIGFZX4AR6LHAZ7M","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"GIGFZX4A","created_at":"2026-05-18T12:26:30.835961+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/GIGFZX4AR6LHAZ7MDU6MZUIZZ3","json":"https://pith.science/pith/GIGFZX4AR6LHAZ7MDU6MZUIZZ3.json","graph_json":"https://pith.science/api/pith-number/GIGFZX4AR6LHAZ7MDU6MZUIZZ3/graph.json","events_json":"https://pith.science/api/pith-number/GIGFZX4AR6LHAZ7MDU6MZUIZZ3/events.json","paper":"https://pith.science/paper/GIGFZX4A"},"agent_actions":{"view_html":"https://pith.science/pith/GIGFZX4AR6LHAZ7MDU6MZUIZZ3","download_json":"https://pith.science/pith/GIGFZX4AR6LHAZ7MDU6MZUIZZ3.json","view_paper":"https://pith.science/paper/GIGFZX4A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.4606&json=true","fetch_graph":"https://pith.science/api/pith-number/GIGFZX4AR6LHAZ7MDU6MZUIZZ3/graph.json","fetch_events":"https://pith.science/api/pith-number/GIGFZX4AR6LHAZ7MDU6MZUIZZ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GIGFZX4AR6LHAZ7MDU6MZUIZZ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GIGFZX4AR6LHAZ7MDU6MZUIZZ3/action/storage_attestation","attest_author":"https://pith.science/pith/GIGFZX4AR6LHAZ7MDU6MZUIZZ3/action/author_attestation","sign_citation":"https://pith.science/pith/GIGFZX4AR6LHAZ7MDU6MZUIZZ3/action/citation_signature","submit_replication":"https://pith.science/pith/GIGFZX4AR6LHAZ7MDU6MZUIZZ3/action/replication_record"}},"created_at":"2026-05-18T04:06:08.003232+00:00","updated_at":"2026-05-18T04:06:08.003232+00:00"}