{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IXD6THTFXOAAWVE7RDOCSK3NC6","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":"60c3643c022d81034239ab31629e8b64b2994b38503a9126e0fd8b116d0ce72f","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-08-11T23:04:45Z","title_canon_sha256":"997ec9bda7397006101887f94ab51f1eb16a0b4034bd5793f76dfb6c599fd288"},"schema_version":"1.0","source":{"id":"1908.03970","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03970","created_at":"2026-07-05T06:40:06Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03970v1","created_at":"2026-07-05T06:40:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03970","created_at":"2026-07-05T06:40:06Z"},{"alias_kind":"pith_short_12","alias_value":"IXD6THTFXOAA","created_at":"2026-07-05T06:40:06Z"},{"alias_kind":"pith_short_16","alias_value":"IXD6THTFXOAAWVE7","created_at":"2026-07-05T06:40:06Z"},{"alias_kind":"pith_short_8","alias_value":"IXD6THTF","created_at":"2026-07-05T06:40:06Z"}],"graph_snapshots":[{"event_id":"sha256:414992f80fd2057728718bf5399bb952932e37dc01f8033d07d8f9d4ae33c876","target":"graph","created_at":"2026-07-05T06:40:06Z","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/1908.03970/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We will show the following three theorems on the diffeomorphism and homeomorphism groups of a $K3$ surface. The first theorem is that the natural map $\\pi_{0}(Diff(K3)) \\to Aut(H^{2}(K3;\\mathbb{Z}))$ has a section over its image. The second is that, there exists a subgroup $G$ of $\\pi_{0}(Diff(K3))$ of order two over which there is no splitting of the map $Diff(K3) \\to \\pi_{0}(Diff(K3))$, but there is a splitting of $Homeo(K3) \\to \\pi_{0}(Homeo(K3))$ over the image of $G$ in $\\pi_{0}(Homeo(K3))$, which is non-trivial. The third is that the map $\\pi_{1}(Diff(K3)) \\to \\pi_{1}(Homeo(K3))$ is not ","authors_text":"David Baraglia, Hokuto Konno","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-08-11T23:04:45Z","title":"A note on the Nielsen realization problem for K3 surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03970","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":"sha256:4be6f82178d15021731addf6ac2f2803fd5eb4710940ed71b2ae09cb84870857","target":"record","created_at":"2026-07-05T06:40:06Z","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":"60c3643c022d81034239ab31629e8b64b2994b38503a9126e0fd8b116d0ce72f","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-08-11T23:04:45Z","title_canon_sha256":"997ec9bda7397006101887f94ab51f1eb16a0b4034bd5793f76dfb6c599fd288"},"schema_version":"1.0","source":{"id":"1908.03970","kind":"arxiv","version":1}},"canonical_sha256":"45c7e99e65bb800b549f88dc292b6d17ae86c9ea36b99e121e778f1b8f748476","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45c7e99e65bb800b549f88dc292b6d17ae86c9ea36b99e121e778f1b8f748476","first_computed_at":"2026-07-05T06:40:06.473011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:40:06.473011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x/ScPvxOzF4muuD+uGO5rJ/MHWKviyzxJlDeoEPm3DuQz6regoUj5hvxyuxk/pZh7VMb/ZbJmbscujbmTrDDAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:40:06.473534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.03970","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4be6f82178d15021731addf6ac2f2803fd5eb4710940ed71b2ae09cb84870857","sha256:414992f80fd2057728718bf5399bb952932e37dc01f8033d07d8f9d4ae33c876"],"state_sha256":"4150c804bc1ee4f0015e968d09c988ae791d33dff89b5bb10b8c9c8026d51b9f"}