{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NJAA6OGEKBA37JY2OEHVRBXN2O","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":"733d94f846e76208388990c15ab28f57a882a5d0948d60660446b365616ed9d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-11T16:15:42Z","title_canon_sha256":"7807a7037c80f49819aec58a9f6f0fe2824c067259a376a046d5a41f02e805ff"},"schema_version":"1.0","source":{"id":"1312.3224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3224","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3224v1","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3224","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"pith_short_12","alias_value":"NJAA6OGEKBA3","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NJAA6OGEKBA37JY2","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NJAA6OGE","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:3bbfe29e5d6e2f09b3eb437f74f033576616cb4d392ebe9c4f9396c376abf2c2","target":"graph","created_at":"2026-05-18T01:11:21Z","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 generalize Nikulin's and Dolgachev's lattice-theoretical mirror symmetry for K3 surfaces to lattice polarized higher dimensional irreducible holomorphic symplectic manifolds. In the case of fourfolds of $K3^{\\left[2\\right]}-$type we then describe mirror families of polarized fourfolds and we give an example with mirror non-symplectic involutions.","authors_text":"Chiara Camere","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-11T16:15:42Z","title":"Lattice polarized irreducible holomorphic symplectic manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3224","kind":"arxiv","version":1},"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:cd2effd96e231269bb409695cf62233a3affe7f78cd81ff454352003d09e7e05","target":"record","created_at":"2026-05-18T01:11:21Z","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":"733d94f846e76208388990c15ab28f57a882a5d0948d60660446b365616ed9d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-11T16:15:42Z","title_canon_sha256":"7807a7037c80f49819aec58a9f6f0fe2824c067259a376a046d5a41f02e805ff"},"schema_version":"1.0","source":{"id":"1312.3224","kind":"arxiv","version":1}},"canonical_sha256":"6a400f38c45041bfa71a710f5886edd38ba9b676564693c547f7987133fd0811","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a400f38c45041bfa71a710f5886edd38ba9b676564693c547f7987133fd0811","first_computed_at":"2026-05-18T01:11:21.958748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:21.958748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Im3FF57JoCONnoX70QcbtR/Atajf3LwxzWlcTOATd7OiWMbZQRR6ImkKONWb5vrvAhRl9zFL4hfWUW+eNRieCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:21.959240Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.3224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd2effd96e231269bb409695cf62233a3affe7f78cd81ff454352003d09e7e05","sha256:3bbfe29e5d6e2f09b3eb437f74f033576616cb4d392ebe9c4f9396c376abf2c2"],"state_sha256":"3072749e406b1dc94082873931567c781355e7bda881435915ea9ad95a2779dd"}