{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YCYBEAF2G3PTZHD6HUCH7KPQOR","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":"babaad590e600785971e16c368d00f64374bd17713525b2112ee3349be0b9c02","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-31T16:51:03Z","title_canon_sha256":"c205bef89fd5775f7b7bb2b53c01a1c59a4f030baff0ad71584e9cd7396325fa"},"schema_version":"1.0","source":{"id":"1205.7042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.7042","created_at":"2026-05-18T03:54:28Z"},{"alias_kind":"arxiv_version","alias_value":"1205.7042v1","created_at":"2026-05-18T03:54:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.7042","created_at":"2026-05-18T03:54:28Z"},{"alias_kind":"pith_short_12","alias_value":"YCYBEAF2G3PT","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YCYBEAF2G3PTZHD6","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YCYBEAF2","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:4aaec6a89c8c9642073e4641773db9eefe72b058416fd231e2b60dfc50ec102c","target":"graph","created_at":"2026-05-18T03:54:28Z","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 show that a family of minimal surfaces of general type with p_g = 0, K^2=7, constructed by Inoue in 1994, is indeed a connected component of the moduli space: indeed that any surface which is homotopically equivalent to an Inoue surface belongs to the Inoue family.\n  The ideas used in order to show this result motivate us to give a new definition of varieties, which we propose to call Inoue-type manifolds: these are obtained as quotients \\hat{X} / G, where \\hat{X} is an ample divisor in a K(\\Gamma, 1) projective manifold Z, and G is a finite group acting freely on \\hat{X} . For these type o","authors_text":"Fabrizio Catanese (Universitaet Bayreuth, Germany), Ingrid Bauer","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-31T16:51:03Z","title":"Inoue type manifolds and Inoue surfaces: a connected component of the moduli space of surfaces with K^2 = 7, p_g=0"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.7042","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":"sha256:0e9e53f29ad13301fdc573e2602827dd59e1ae536ed5118527da072c696d50ae","target":"record","created_at":"2026-05-18T03:54:28Z","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":"babaad590e600785971e16c368d00f64374bd17713525b2112ee3349be0b9c02","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-31T16:51:03Z","title_canon_sha256":"c205bef89fd5775f7b7bb2b53c01a1c59a4f030baff0ad71584e9cd7396325fa"},"schema_version":"1.0","source":{"id":"1205.7042","kind":"arxiv","version":1}},"canonical_sha256":"c0b01200ba36df3c9c7e3d047fa9f07467596b051247e323fa7fb9cbcbe3a2e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0b01200ba36df3c9c7e3d047fa9f07467596b051247e323fa7fb9cbcbe3a2e3","first_computed_at":"2026-05-18T03:54:28.048807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:28.048807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fGM4IogEnsGmu41Rp5py6sSH4y5Fuf3bEMR2PUFLjLf8Q3cs48xdwjdCBZ1QnH6j52qk/hDHOnUMcfwqtvpEBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:28.049448Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.7042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e9e53f29ad13301fdc573e2602827dd59e1ae536ed5118527da072c696d50ae","sha256:4aaec6a89c8c9642073e4641773db9eefe72b058416fd231e2b60dfc50ec102c"],"state_sha256":"3607b83e6c705d6939e49b46eaf397095a9b7facd2fd243374f278457a9bc713"}