{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GLBY6HVR5VSRV5RMGQXPD4APKD","short_pith_number":"pith:GLBY6HVR","canonical_record":{"source":{"id":"1105.1259","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-05-06T10:40:38Z","cross_cats_sorted":[],"title_canon_sha256":"a5805e15fbc5f11380296b44be534435038418a9eb8fff88c1901aa05c6af14c","abstract_canon_sha256":"741e7bc5610c5f1e4c18fd342dc4223be9acc1201011d6d26304683d96c3ff4e"},"schema_version":"1.0"},"canonical_sha256":"32c38f1eb1ed651af62c342ef1f00f50fb8ef208c5b0f98b169ffe3c3612322e","source":{"kind":"arxiv","id":"1105.1259","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.1259","created_at":"2026-05-18T03:27:23Z"},{"alias_kind":"arxiv_version","alias_value":"1105.1259v3","created_at":"2026-05-18T03:27:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1259","created_at":"2026-05-18T03:27:23Z"},{"alias_kind":"pith_short_12","alias_value":"GLBY6HVR5VSR","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GLBY6HVR5VSRV5RM","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GLBY6HVR","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GLBY6HVR5VSRV5RMGQXPD4APKD","target":"record","payload":{"canonical_record":{"source":{"id":"1105.1259","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-05-06T10:40:38Z","cross_cats_sorted":[],"title_canon_sha256":"a5805e15fbc5f11380296b44be534435038418a9eb8fff88c1901aa05c6af14c","abstract_canon_sha256":"741e7bc5610c5f1e4c18fd342dc4223be9acc1201011d6d26304683d96c3ff4e"},"schema_version":"1.0"},"canonical_sha256":"32c38f1eb1ed651af62c342ef1f00f50fb8ef208c5b0f98b169ffe3c3612322e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:23.325816Z","signature_b64":"53cS1PXPt7vjk6LbAZuWVFUVteVbyI85+dNu3O3URoi48ERMRGyQRPRn0lh9KMsGEwZNT3G4Or/WMd9ItqQWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32c38f1eb1ed651af62c342ef1f00f50fb8ef208c5b0f98b169ffe3c3612322e","last_reissued_at":"2026-05-18T03:27:23.325201Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:23.325201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.1259","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:27:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6pfJCqDCO5MDqsB8kYcNWckjogLxr2fvWxZT3wQPpljbPNwFt5HLBK82g7rIsPcc4G3NzoDDv2g1K7mC+/m6Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:02:01.490885Z"},"content_sha256":"fab1edd10ba6fc2eb760b944f784c72338b8c42e47b22b37adb1016042ca231b","schema_version":"1.0","event_id":"sha256:fab1edd10ba6fc2eb760b944f784c72338b8c42e47b22b37adb1016042ca231b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GLBY6HVR5VSRV5RMGQXPD4APKD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mixed quasi-\\'etale surfaces, new surfaces of general type with $p_g=0$ and their fundamental group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Davide Frapporti","submitted_at":"2011-05-06T10:40:38Z","abstract_excerpt":"We call a projective surface $X$ mixed quasi-\\'etale quotient if there exists a curve $C$ of genus $g(C)\\geq 2$ and a finite group $G$ that acts on $C\\times C$ exchanging the factors such that $X=(C\\times C)/G$ and the map $C\\times C \\rightarrow X$ has finite branch locus. The minimal resolution of its singularities is called mixed quasi-\\'etale surface. We study the mixed quasi-\\'etale surfaces under the assumption that $(C\\times C)/G^0$ has only nodes as singularities, where $G^0\\triangleleft G$ is the index two subgroup of the elements that do not exchange the factors. We classify the minim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1259","kind":"arxiv","version":3},"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":"2026-05-18T03:27:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wuoEO1uzRH5T9S78JXp9fODEChPJjnFDtuxibi3lJlt69MegWttoEBkQL8zHir6YGNWoqWQG+bXgWEL2YGX6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:02:01.491230Z"},"content_sha256":"831477af8fa816b492079e1ec741105961ba567546f5dcfc366e038fd23ff0a7","schema_version":"1.0","event_id":"sha256:831477af8fa816b492079e1ec741105961ba567546f5dcfc366e038fd23ff0a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GLBY6HVR5VSRV5RMGQXPD4APKD/bundle.json","state_url":"https://pith.science/pith/GLBY6HVR5VSRV5RMGQXPD4APKD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GLBY6HVR5VSRV5RMGQXPD4APKD/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":"2026-06-24T20:02:01Z","links":{"resolver":"https://pith.science/pith/GLBY6HVR5VSRV5RMGQXPD4APKD","bundle":"https://pith.science/pith/GLBY6HVR5VSRV5RMGQXPD4APKD/bundle.json","state":"https://pith.science/pith/GLBY6HVR5VSRV5RMGQXPD4APKD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GLBY6HVR5VSRV5RMGQXPD4APKD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GLBY6HVR5VSRV5RMGQXPD4APKD","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":"741e7bc5610c5f1e4c18fd342dc4223be9acc1201011d6d26304683d96c3ff4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-05-06T10:40:38Z","title_canon_sha256":"a5805e15fbc5f11380296b44be534435038418a9eb8fff88c1901aa05c6af14c"},"schema_version":"1.0","source":{"id":"1105.1259","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.1259","created_at":"2026-05-18T03:27:23Z"},{"alias_kind":"arxiv_version","alias_value":"1105.1259v3","created_at":"2026-05-18T03:27:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1259","created_at":"2026-05-18T03:27:23Z"},{"alias_kind":"pith_short_12","alias_value":"GLBY6HVR5VSR","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GLBY6HVR5VSRV5RM","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GLBY6HVR","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:831477af8fa816b492079e1ec741105961ba567546f5dcfc366e038fd23ff0a7","target":"graph","created_at":"2026-05-18T03:27:23Z","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 call a projective surface $X$ mixed quasi-\\'etale quotient if there exists a curve $C$ of genus $g(C)\\geq 2$ and a finite group $G$ that acts on $C\\times C$ exchanging the factors such that $X=(C\\times C)/G$ and the map $C\\times C \\rightarrow X$ has finite branch locus. The minimal resolution of its singularities is called mixed quasi-\\'etale surface. We study the mixed quasi-\\'etale surfaces under the assumption that $(C\\times C)/G^0$ has only nodes as singularities, where $G^0\\triangleleft G$ is the index two subgroup of the elements that do not exchange the factors. We classify the minim","authors_text":"Davide Frapporti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-05-06T10:40:38Z","title":"Mixed quasi-\\'etale surfaces, new surfaces of general type with $p_g=0$ and their fundamental group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1259","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:fab1edd10ba6fc2eb760b944f784c72338b8c42e47b22b37adb1016042ca231b","target":"record","created_at":"2026-05-18T03:27:23Z","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":"741e7bc5610c5f1e4c18fd342dc4223be9acc1201011d6d26304683d96c3ff4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-05-06T10:40:38Z","title_canon_sha256":"a5805e15fbc5f11380296b44be534435038418a9eb8fff88c1901aa05c6af14c"},"schema_version":"1.0","source":{"id":"1105.1259","kind":"arxiv","version":3}},"canonical_sha256":"32c38f1eb1ed651af62c342ef1f00f50fb8ef208c5b0f98b169ffe3c3612322e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32c38f1eb1ed651af62c342ef1f00f50fb8ef208c5b0f98b169ffe3c3612322e","first_computed_at":"2026-05-18T03:27:23.325201Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:23.325201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"53cS1PXPt7vjk6LbAZuWVFUVteVbyI85+dNu3O3URoi48ERMRGyQRPRn0lh9KMsGEwZNT3G4Or/WMd9ItqQWBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:23.325816Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.1259","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fab1edd10ba6fc2eb760b944f784c72338b8c42e47b22b37adb1016042ca231b","sha256:831477af8fa816b492079e1ec741105961ba567546f5dcfc366e038fd23ff0a7"],"state_sha256":"cf94f79033ede9f6e3fde7c2f44d010d0e7e8717c312b91caba96c07ecf0dced"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qOuUeni2j0WtIkO+EvnufQMRhSdWE8GmWHiNUn94NxXDFEmVKka0ZLFwooVotBOZHlDRK1l4F26Ou7avETkcAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T20:02:01.493171Z","bundle_sha256":"55f705447f29d098d41670b7ae99882f1875fac997cf0237c91ad1e5adfb39f5"}}