{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2T5UNBQBVGYJPNO7DU55TCBAEF","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":"b693d012ae745fe1571473893b068dae5ae06d1c779f0e4cfc988a0ea2dbdcd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-24T18:04:17Z","title_canon_sha256":"0a5c866b534f91ae093700ba1f90fcd5e28a5a368528980e79b232326a8a8efe"},"schema_version":"1.0","source":{"id":"1106.5028","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5028","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5028v1","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5028","created_at":"2026-05-18T03:59:49Z"},{"alias_kind":"pith_short_12","alias_value":"2T5UNBQBVGYJ","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2T5UNBQBVGYJPNO7","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2T5UNBQB","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:07e7e6e9316c30cd8de8defb93ed00c070ceb2fb15521df0a3e74af049281ee7","target":"graph","created_at":"2026-05-18T03:59:49Z","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 consider minimal surfaces of general type with $p_g = 2$, $q = 1$ and $K^2 = 5$. We provide a stratification of the corresponding moduli space and we give some bounds for the number and the dimensions of its irreducible components.","authors_text":"Francesco Polizzi, Paolo A. Oliverio, Tommaso Gentile","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-24T18:04:17Z","title":"On surfaces with p_g=2, q=1 and K^2=5"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5028","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:c576d50660915c0007fad15d828310fe9e3022496fdbc399d369fdc8f7fd4dd1","target":"record","created_at":"2026-05-18T03:59:49Z","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":"b693d012ae745fe1571473893b068dae5ae06d1c779f0e4cfc988a0ea2dbdcd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-24T18:04:17Z","title_canon_sha256":"0a5c866b534f91ae093700ba1f90fcd5e28a5a368528980e79b232326a8a8efe"},"schema_version":"1.0","source":{"id":"1106.5028","kind":"arxiv","version":1}},"canonical_sha256":"d4fb468601a9b097b5df1d3bd98820214e25f5b25cef91023b698ef130656996","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4fb468601a9b097b5df1d3bd98820214e25f5b25cef91023b698ef130656996","first_computed_at":"2026-05-18T03:59:49.513794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:49.513794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sar0emQLjg2ldWvYr5XEbV44TgQEhIL3ItitQVYqI+a/JQ8iWmDe/XJyHdVMobyxpfa35FkdwxQMo8YFSWgpDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:49.514524Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.5028","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c576d50660915c0007fad15d828310fe9e3022496fdbc399d369fdc8f7fd4dd1","sha256:07e7e6e9316c30cd8de8defb93ed00c070ceb2fb15521df0a3e74af049281ee7"],"state_sha256":"f55b8bc80737494efaa8a7ab0f2d132ca385c947ab258dd805a98fe1ff986530"}