{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VSRPDQYELEFVCTUIRO4N6TPJY2","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":"451710d3f128262aff8775837ce58b70d5d9770a55c20456686a5f23e98cd951","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-05-29T06:30:57Z","title_canon_sha256":"5e6f6a814429a335bf74c75719f5702ca829a4ef361143af01d6c1d4a10f6025"},"schema_version":"1.0","source":{"id":"1005.5431","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5431","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5431v2","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5431","created_at":"2026-05-18T03:45:21Z"},{"alias_kind":"pith_short_12","alias_value":"VSRPDQYELEFV","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VSRPDQYELEFVCTUI","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VSRPDQYE","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:90b4fb9e5dea9368a55218ca1f382514fd95b59c396d2e94e755997f49b1763b","target":"graph","created_at":"2026-05-18T03:45:21Z","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":"A quasitoric manifold is a $2n$-dimensional compact smooth manifold with a locally standard action of an $n$-dimensional torus whose orbit space is a simple polytope. In this article, we classify quasitoric manifolds with the second Betti number $\\beta_2=2$ topologically. Interestingly, they are distinguished by their cohomology rings up to homeomorphism.","authors_text":"Dong Youp Suh, Seonjeong Park, Suyoung Choi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-05-29T06:30:57Z","title":"Topological classification of quasitoric manifolds with the second Betti number 2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5431","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":"sha256:3eef17ba0903f8d956c664b0bc43af158bdbe7ee1b327816a90bd1d7d9cdedb4","target":"record","created_at":"2026-05-18T03:45:21Z","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":"451710d3f128262aff8775837ce58b70d5d9770a55c20456686a5f23e98cd951","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-05-29T06:30:57Z","title_canon_sha256":"5e6f6a814429a335bf74c75719f5702ca829a4ef361143af01d6c1d4a10f6025"},"schema_version":"1.0","source":{"id":"1005.5431","kind":"arxiv","version":2}},"canonical_sha256":"aca2f1c304590b514e888bb8df4de9c6bcf8454f6b7d06487504d956eb75355e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aca2f1c304590b514e888bb8df4de9c6bcf8454f6b7d06487504d956eb75355e","first_computed_at":"2026-05-18T03:45:21.395117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:21.395117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cdDxnp7AJzHvw1oda1WA6ERNOaWwyNuayxFGTXJJyyUwv6+SOBVsr6Dn1VSdUgMPOGQssNJtZvR/BvisEpKZDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:21.395811Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.5431","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3eef17ba0903f8d956c664b0bc43af158bdbe7ee1b327816a90bd1d7d9cdedb4","sha256:90b4fb9e5dea9368a55218ca1f382514fd95b59c396d2e94e755997f49b1763b"],"state_sha256":"4dea077f0c5ee1f23e347be920ab958b5634a86a58f8573e94982a88f083646f"}