{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GIGFZX4AR6LHAZ7MDU6MZUIZZ3","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":"48bcc4b737d5b5d453604392319d60b7d7412feeeb929b330d27195cac4eb95f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-24T18:03:47Z","title_canon_sha256":"71a8af7e09bd727e50d6b39e5845b5bc4aa0ebdad01850fb1a83ef9959f189c2"},"schema_version":"1.0","source":{"id":"1101.4606","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.4606","created_at":"2026-05-18T04:06:08Z"},{"alias_kind":"arxiv_version","alias_value":"1101.4606v3","created_at":"2026-05-18T04:06:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.4606","created_at":"2026-05-18T04:06:08Z"},{"alias_kind":"pith_short_12","alias_value":"GIGFZX4AR6LH","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GIGFZX4AR6LHAZ7M","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GIGFZX4A","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:fd9260b70f30c1f04675ddb06c99a94d31e4202e968af3ee1f69703fad3c9be1","target":"graph","created_at":"2026-05-18T04:06:08Z","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 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","authors_text":"Eyal Markman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-24T18:03:47Z","title":"A survey of Torelli and monodromy results for holomorphic-symplectic varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.4606","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":"sha256:1b363333ad36e8a201a02ca0c45bd320d4913da2fdc7154c81891db9d9359bca","target":"record","created_at":"2026-05-18T04:06:08Z","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":"48bcc4b737d5b5d453604392319d60b7d7412feeeb929b330d27195cac4eb95f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-24T18:03:47Z","title_canon_sha256":"71a8af7e09bd727e50d6b39e5845b5bc4aa0ebdad01850fb1a83ef9959f189c2"},"schema_version":"1.0","source":{"id":"1101.4606","kind":"arxiv","version":3}},"canonical_sha256":"320c5cdf808f967067ec1d3cccd119cefed6cf72796d511f7cf2b23c6cdb71d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"320c5cdf808f967067ec1d3cccd119cefed6cf72796d511f7cf2b23c6cdb71d1","first_computed_at":"2026-05-18T04:06:08.003123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:08.003123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1UhY2o7VRtnDS4jD1pTxaczLiJt4lnkiOf20nQx6Zs5BxH1edRyT7M9fn0JY05Zxr/fMipxqABcIbVQiZKz/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:08.003808Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.4606","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b363333ad36e8a201a02ca0c45bd320d4913da2fdc7154c81891db9d9359bca","sha256:fd9260b70f30c1f04675ddb06c99a94d31e4202e968af3ee1f69703fad3c9be1"],"state_sha256":"4f9b59702a304aa9c431cec9507b0d3db4e1cabfb14f009c02cafe65a45b3965"}