{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:JC3UGQN77Q6LTE4PVGTYQJBF4G","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":"0819c07c710627905a8cbcbe29d6cf02b75fa4fb357dcd442bd370d8a1798f5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2009-06-07T07:27:43Z","title_canon_sha256":"687635ec3231bf7609fc0156237f911129073fc7d047b4a9bd5fc24633e2b807"},"schema_version":"1.0","source":{"id":"0906.1335","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.1335","created_at":"2026-05-18T02:41:51Z"},{"alias_kind":"arxiv_version","alias_value":"0906.1335v2","created_at":"2026-05-18T02:41:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.1335","created_at":"2026-05-18T02:41:51Z"},{"alias_kind":"pith_short_12","alias_value":"JC3UGQN77Q6L","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JC3UGQN77Q6LTE4P","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JC3UGQN7","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:b75e11d13d5b8c7f3cda9caf10b63e22dd2b207d844829b1661efc3518c67106","target":"graph","created_at":"2026-05-18T02:41:51Z","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 toric manifold is a compact non-singular toric variety equipped with a natural half-dimensional compact torus action. A torus manifold is an oriented, closed, smooth manifold of dimension $2n$ with an effective action of a compact torus $T^{n}$ having a non-empty fixed point set. Hence, a torus manifold can be thought of as a generalization of a toric manifold. In the present paper, we focus on a certain class $\\mM$ in the family of torus manifolds with codimension one extended actions, and we give a topological classification of $\\mM$. As a result, their topological types are completely det","authors_text":"Shintar\\^o Kuroki, Suyoung Choi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2009-06-07T07:27:43Z","title":"Topological classification of torus manifolds which have codimension one extended actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.1335","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:aac13e40042415de8fd0272ea5daaa6b201a104086ee8b369970d3bb98724dd7","target":"record","created_at":"2026-05-18T02:41:51Z","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":"0819c07c710627905a8cbcbe29d6cf02b75fa4fb357dcd442bd370d8a1798f5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2009-06-07T07:27:43Z","title_canon_sha256":"687635ec3231bf7609fc0156237f911129073fc7d047b4a9bd5fc24633e2b807"},"schema_version":"1.0","source":{"id":"0906.1335","kind":"arxiv","version":2}},"canonical_sha256":"48b74341bffc3cb9938fa9a7882425e1ad4531b1838555673a2130625a7b8110","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48b74341bffc3cb9938fa9a7882425e1ad4531b1838555673a2130625a7b8110","first_computed_at":"2026-05-18T02:41:51.240457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:51.240457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DmulBKWJ+ibUFLW5nh2qbUBM5SR9nVew+ONqeYjMpxIcfUjtLyPD+emBcxqlp//ITR2rbZOjfa3QOgcxLmBlBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:51.241003Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.1335","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aac13e40042415de8fd0272ea5daaa6b201a104086ee8b369970d3bb98724dd7","sha256:b75e11d13d5b8c7f3cda9caf10b63e22dd2b207d844829b1661efc3518c67106"],"state_sha256":"72a81e53f32e24599a0644a67dc1a16fe6c4a1e55396543cd153ac846988b979"}