{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QNUFG64UGI65UL7FLQ5L2KMFQC","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":"69472d30d0ff26cc4e062fe29e3d38bf5f85a129c0434bfd261794691d78c56a","cross_cats_sorted":["math.AG","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-07-12T12:19:40Z","title_canon_sha256":"c05eb58e92865f951a1b8e57f6521c64ded96ca5dc2a2cc292f8991c5b9c639a"},"schema_version":"1.0","source":{"id":"1907.05693","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.05693","created_at":"2026-05-17T23:40:47Z"},{"alias_kind":"arxiv_version","alias_value":"1907.05693v1","created_at":"2026-05-17T23:40:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.05693","created_at":"2026-05-17T23:40:47Z"},{"alias_kind":"pith_short_12","alias_value":"QNUFG64UGI65","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QNUFG64UGI65UL7F","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QNUFG64U","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:62b7ac18ec52174ef21d4cfa2c456e2200174aaaa12bd9dcc49e4a508b45c00f","target":"graph","created_at":"2026-05-17T23:40:47Z","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":"The Torelli group $\\mathcal T(X)$ of a closed smooth manifold $X$ is the subgroup of the mapping class group $\\pi_0(\\mathrm{Diff}^+(X))$ consisting of elements which act trivially on the integral cohomology of $X$. In this note we give counterexamples to Theorem 3.4 of Verbitsky's paper \"Mapping class group and a global Torelli theorem for hyperk\\\"ahler manifolds\" (Duke Math.~J.~162 (2013), no.~15, 2929-2986) which states that the Torelli group of simply connected K\\\"ahler manifolds of complex dimension $\\ge 3$ is finite. This is done by constructing under some mild conditions homomorphisms $J","authors_text":"Matthias Kreck, Yang Su","cross_cats":["math.AG","math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-07-12T12:19:40Z","title":"Finiteness and infiniteness results for Torelli groups of (hyper-)K\\\"ahler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.05693","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":"sha256:7be81c928f61f844fba16d310fedada9c009d334bbf709efa63a13c628f02ac8","target":"record","created_at":"2026-05-17T23:40:47Z","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":"69472d30d0ff26cc4e062fe29e3d38bf5f85a129c0434bfd261794691d78c56a","cross_cats_sorted":["math.AG","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-07-12T12:19:40Z","title_canon_sha256":"c05eb58e92865f951a1b8e57f6521c64ded96ca5dc2a2cc292f8991c5b9c639a"},"schema_version":"1.0","source":{"id":"1907.05693","kind":"arxiv","version":1}},"canonical_sha256":"8368537b94323dda2fe55c3abd2985808e6d5535d822f47e3e7f4dbc75c96d8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8368537b94323dda2fe55c3abd2985808e6d5535d822f47e3e7f4dbc75c96d8c","first_computed_at":"2026-05-17T23:40:47.266434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:47.266434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"15lAsttmQ/pR2Y6L/bA+jxcHVRiajtBQITfaHLN26gO9U+V4KZATxXsJfkS97wr+IA4D3D+dzlaVF28awsJoBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:47.267107Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.05693","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7be81c928f61f844fba16d310fedada9c009d334bbf709efa63a13c628f02ac8","sha256:62b7ac18ec52174ef21d4cfa2c456e2200174aaaa12bd9dcc49e4a508b45c00f"],"state_sha256":"9bdf9bd22a183ea85af285dd2eb46a5f73ca63c20726b812c9400a17e8134139"}