{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ZPEKUSCSHIZRMY6GAEVBSBXCON","short_pith_number":"pith:ZPEKUSCS","canonical_record":{"source":{"id":"1301.1008","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-01-06T13:55:30Z","cross_cats_sorted":[],"title_canon_sha256":"28bbe40d04448d8198ebbbcc90049f30126e5d43a56594110375b0d1f1440816","abstract_canon_sha256":"d32a4b02f66bbc8b0e64e7082a04c59feb2461643a7eb196b6950c402180babf"},"schema_version":"1.0"},"canonical_sha256":"cbc8aa48523a331663c6012a1906e2736aa2a3dd18978bbbf19b6eb95a8c1a1d","source":{"kind":"arxiv","id":"1301.1008","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1008","created_at":"2026-05-18T03:28:19Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1008v6","created_at":"2026-05-18T03:28:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1008","created_at":"2026-05-18T03:28:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZPEKUSCSHIZR","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZPEKUSCSHIZRMY6G","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZPEKUSCS","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ZPEKUSCSHIZRMY6GAEVBSBXCON","target":"record","payload":{"canonical_record":{"source":{"id":"1301.1008","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-01-06T13:55:30Z","cross_cats_sorted":[],"title_canon_sha256":"28bbe40d04448d8198ebbbcc90049f30126e5d43a56594110375b0d1f1440816","abstract_canon_sha256":"d32a4b02f66bbc8b0e64e7082a04c59feb2461643a7eb196b6950c402180babf"},"schema_version":"1.0"},"canonical_sha256":"cbc8aa48523a331663c6012a1906e2736aa2a3dd18978bbbf19b6eb95a8c1a1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:19.271656Z","signature_b64":"9q6VsItjeKdZaYI0v1ZgeB6D6KD+nzTZhhojDw3nbMj3X4FJKaNAaSK/ITSdvilTmOHIpe6y8SiObWhxOIe6Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbc8aa48523a331663c6012a1906e2736aa2a3dd18978bbbf19b6eb95a8c1a1d","last_reissued_at":"2026-05-18T03:28:19.270749Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:19.270749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.1008","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:28:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pLSxiqJV8hQ7QFJO22+1mNFEXepZvKD3Ky+heoz8Dnz/xfUc6hTtmJfZZegdyvWhwTdkd/Gmi3S88RM43D40Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:58:42.695764Z"},"content_sha256":"044fedb487471f01ac058501fe0446d6c325e9cb2a6bc14917cb79ede5390161","schema_version":"1.0","event_id":"sha256:044fedb487471f01ac058501fe0446d6c325e9cb2a6bc14917cb79ede5390161"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ZPEKUSCSHIZRMY6GAEVBSBXCON","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fundamental groups of symplectic singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Yoshinori Namikawa","submitted_at":"2013-01-06T13:55:30Z","abstract_excerpt":"Let (X, \\omega) be an affine symplectic variety. Assume that X has a C^*-action with positive weights and \\omega is homogeneous with respect to the C^*-action. We prove that the algebraic fundamental group of the smooth locus X_{reg} is finite. This is a collorary to a more general theorem:\n  If an affine variety X has a C^*action with positive weights and the log pair (X, 0) has klt singularities, then the algebraic fundamental group of X_{reg} is finite."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1008","kind":"arxiv","version":6},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:28:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v0UrUW1yZrbustsgsVkm+P0mfEvy56gWL9OKHnRROdByvIhz+x2KTf0r4qhwbMe+fw/ARM5I6/GtdTQmzBH0Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:58:42.696446Z"},"content_sha256":"2eea8aadf5b4d192c1d5ea79477a986d664a608cac422328da6d6a1b37dab9ae","schema_version":"1.0","event_id":"sha256:2eea8aadf5b4d192c1d5ea79477a986d664a608cac422328da6d6a1b37dab9ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZPEKUSCSHIZRMY6GAEVBSBXCON/bundle.json","state_url":"https://pith.science/pith/ZPEKUSCSHIZRMY6GAEVBSBXCON/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZPEKUSCSHIZRMY6GAEVBSBXCON/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-29T14:58:42Z","links":{"resolver":"https://pith.science/pith/ZPEKUSCSHIZRMY6GAEVBSBXCON","bundle":"https://pith.science/pith/ZPEKUSCSHIZRMY6GAEVBSBXCON/bundle.json","state":"https://pith.science/pith/ZPEKUSCSHIZRMY6GAEVBSBXCON/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZPEKUSCSHIZRMY6GAEVBSBXCON/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZPEKUSCSHIZRMY6GAEVBSBXCON","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":"d32a4b02f66bbc8b0e64e7082a04c59feb2461643a7eb196b6950c402180babf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-01-06T13:55:30Z","title_canon_sha256":"28bbe40d04448d8198ebbbcc90049f30126e5d43a56594110375b0d1f1440816"},"schema_version":"1.0","source":{"id":"1301.1008","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1008","created_at":"2026-05-18T03:28:19Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1008v6","created_at":"2026-05-18T03:28:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1008","created_at":"2026-05-18T03:28:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZPEKUSCSHIZR","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZPEKUSCSHIZRMY6G","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZPEKUSCS","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:2eea8aadf5b4d192c1d5ea79477a986d664a608cac422328da6d6a1b37dab9ae","target":"graph","created_at":"2026-05-18T03:28:19Z","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":"Let (X, \\omega) be an affine symplectic variety. Assume that X has a C^*-action with positive weights and \\omega is homogeneous with respect to the C^*-action. We prove that the algebraic fundamental group of the smooth locus X_{reg} is finite. This is a collorary to a more general theorem:\n  If an affine variety X has a C^*action with positive weights and the log pair (X, 0) has klt singularities, then the algebraic fundamental group of X_{reg} is finite.","authors_text":"Yoshinori Namikawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-01-06T13:55:30Z","title":"Fundamental groups of symplectic singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1008","kind":"arxiv","version":6},"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":"sha256:044fedb487471f01ac058501fe0446d6c325e9cb2a6bc14917cb79ede5390161","target":"record","created_at":"2026-05-18T03:28:19Z","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":"d32a4b02f66bbc8b0e64e7082a04c59feb2461643a7eb196b6950c402180babf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-01-06T13:55:30Z","title_canon_sha256":"28bbe40d04448d8198ebbbcc90049f30126e5d43a56594110375b0d1f1440816"},"schema_version":"1.0","source":{"id":"1301.1008","kind":"arxiv","version":6}},"canonical_sha256":"cbc8aa48523a331663c6012a1906e2736aa2a3dd18978bbbf19b6eb95a8c1a1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cbc8aa48523a331663c6012a1906e2736aa2a3dd18978bbbf19b6eb95a8c1a1d","first_computed_at":"2026-05-18T03:28:19.270749Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:19.270749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9q6VsItjeKdZaYI0v1ZgeB6D6KD+nzTZhhojDw3nbMj3X4FJKaNAaSK/ITSdvilTmOHIpe6y8SiObWhxOIe6Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:19.271656Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1008","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:044fedb487471f01ac058501fe0446d6c325e9cb2a6bc14917cb79ede5390161","sha256:2eea8aadf5b4d192c1d5ea79477a986d664a608cac422328da6d6a1b37dab9ae"],"state_sha256":"d8df4f62667e8a319d969677f1033bd5bb04683341698464efd0209f8660744f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vzKDabLL5SY9wxfV8iiCD0TLej5/A8WKrE7YTEoITEl7SiGFQ/jwpF3H2UGbPW73+bc94ZnIXg0yzg+Uip2dCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T14:58:42.700056Z","bundle_sha256":"f93b1a0791082dc40c4d2b5dcf21ccc9e1c9a42303e48deabeed5996f31b9cf1"}}