{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:HIIETGTE7WCHK6TSY4JDE4LANY","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":"d6cbd19c4b611db6a60193bf19c985a5d443ed62d67f7220ed41baf3257ce648","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-01-12T23:40:25Z","title_canon_sha256":"24c8450be3844ed35ca33fc9dc633927f89ec6064032bb60d0f44a3ac559f56e"},"schema_version":"1.0","source":{"id":"math/0601304","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601304","created_at":"2026-07-04T17:23:21Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601304v3","created_at":"2026-07-04T17:23:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601304","created_at":"2026-07-04T17:23:21Z"},{"alias_kind":"pith_short_12","alias_value":"HIIETGTE7WCH","created_at":"2026-07-04T17:23:21Z"},{"alias_kind":"pith_short_16","alias_value":"HIIETGTE7WCHK6TS","created_at":"2026-07-04T17:23:21Z"},{"alias_kind":"pith_short_8","alias_value":"HIIETGTE","created_at":"2026-07-04T17:23:21Z"}],"graph_snapshots":[{"event_id":"sha256:4163ff7a40199bb4ec20006bc8be70b72ca3194d4631ced3a0b8a0a03b2c187a","target":"graph","created_at":"2026-07-04T17:23:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0601304/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let M be a 2n-dimensional Kahler manifold deformation equivalent to the Hilbert scheme of length n subschemes of a K3 surface S. Let Mon be the group of automorphisms of the cohomology ring of M, which are induced by monodromy operators. The second integral cohomology of M is endowed with the Beauville-Bogomolov bilinear form. We prove that the restriction homomorphism from Mon to the isometry group O[H^2(M)] is injective, for infinitely many n, and its kernel has order at most 2, in the remaining cases. For all n, the image of Mon in O[H^2(M)] is the subgroup generated by reflections with res","authors_text":"Eyal Markman","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2006-01-12T23:40:25Z","title":"Integral constraints on the monodromy group of the hyperkahler resolution of a symmetric product of a K3 surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601304","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":"sha256:69700ecdcca2078e0a312c65f1ff6051ccb4d860e0edf9bcc0bd614962fd8eb7","target":"record","created_at":"2026-07-04T17:23:21Z","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":"d6cbd19c4b611db6a60193bf19c985a5d443ed62d67f7220ed41baf3257ce648","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-01-12T23:40:25Z","title_canon_sha256":"24c8450be3844ed35ca33fc9dc633927f89ec6064032bb60d0f44a3ac559f56e"},"schema_version":"1.0","source":{"id":"math/0601304","kind":"arxiv","version":3}},"canonical_sha256":"3a10499a64fd84757a72c7123271606e13980be35979d9299b81e82563a2ecd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a10499a64fd84757a72c7123271606e13980be35979d9299b81e82563a2ecd0","first_computed_at":"2026-07-04T17:23:21.866137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:23:21.866137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bS6lneH5qef6uqX1sA9MakuaNteA+OaJRjDOub0febyVS16YnA1oaBHYmkO6HfE1TMKnY7ojehk9z1lA/LkICA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:23:21.866547Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0601304","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69700ecdcca2078e0a312c65f1ff6051ccb4d860e0edf9bcc0bd614962fd8eb7","sha256:4163ff7a40199bb4ec20006bc8be70b72ca3194d4631ced3a0b8a0a03b2c187a"],"state_sha256":"0d1eae81870711eb528feeef4ebb6636b43cf29d2911f470402556a1488cc895"}