{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CIFSTSRMXJCDN35QFVYFIAEELD","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":"1af4e54ffba41724f7ab800d2606d4a877c7dce8df34963bdc2041c0d16aa072","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-31T23:51:22Z","title_canon_sha256":"e383c1b99633222baf3f15e366071af64675943f0773d10609f76e17ad1887b1"},"schema_version":"1.0","source":{"id":"1209.0034","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.0034","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"arxiv_version","alias_value":"1209.0034v2","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0034","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"pith_short_12","alias_value":"CIFSTSRMXJCD","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CIFSTSRMXJCDN35Q","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CIFSTSRM","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:7918bcd370affd7a606a82149bf6b4922c57ab0f6a023290c7ae5302b0c5a6a6","target":"graph","created_at":"2026-05-18T03:41:12Z","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 settle the first step for the classification of surfaces of general type with K^2 = 8, p_g = 4 and q = 0, classifying the even surfaces (K is 2-divisible).\n  The first even surfaces of general type with $K^2=8$, $p_g=4$ and $q=0$ were found by Oliverio as complete intersections of bidegree (6,6) in a weighted projective space P(1,1,2,3,3).\n  In this article we prove that the moduli space of even surfaces of general type with K^2 = 8, p_g = 4 and q = 0 consists of two 35 -dimensional irreducible components intersecting in a codimension one subset (the first of these components is the closure","authors_text":"Fabrizio Catanese (Universitaet Bayreuth), Roberto Pignatelli (Universita' di Trento), Wenfei Liu (Universitaet Bielefeld)","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-31T23:51:22Z","title":"The moduli space of even surfaces of general type with K^2 = 8, p_g = 4 and q = 0"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0034","kind":"arxiv","version":2},"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":"sha256:5869cd1d70f56cea09e26adf1985848d2a205806fde562d40440985d3aea05b0","target":"record","created_at":"2026-05-18T03:41:12Z","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":"1af4e54ffba41724f7ab800d2606d4a877c7dce8df34963bdc2041c0d16aa072","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-31T23:51:22Z","title_canon_sha256":"e383c1b99633222baf3f15e366071af64675943f0773d10609f76e17ad1887b1"},"schema_version":"1.0","source":{"id":"1209.0034","kind":"arxiv","version":2}},"canonical_sha256":"120b29ca2cba4436efb02d7054008458faac61c9282fbbee0e036d57ecb0f1b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"120b29ca2cba4436efb02d7054008458faac61c9282fbbee0e036d57ecb0f1b3","first_computed_at":"2026-05-18T03:41:12.267914Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:12.267914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ag+JNi0wBqeXxNgvnbCB4J1qZjAhbpD4tTOOrMcjsLHnRp7IvodYWCMIyuW2iNaEhAH7Zp8zBu6L29tPAMr1Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:12.268480Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.0034","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5869cd1d70f56cea09e26adf1985848d2a205806fde562d40440985d3aea05b0","sha256:7918bcd370affd7a606a82149bf6b4922c57ab0f6a023290c7ae5302b0c5a6a6"],"state_sha256":"eed97b2c69472026da901278540fdf1112f6891800348e8b9eea2c15e737eecd"}