{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VJNQJU644AZTRQZVDRFDHXSHLY","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":"26abed4cb4f824494d498977f17e84110d62da237d800e66ed30b87d2eebd0f4","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-02-22T11:58:39Z","title_canon_sha256":"8bd16f3692ac5e126f02acda70cec0f638f6cb82045166a9c5e224ce9f0f5c7c"},"schema_version":"1.0","source":{"id":"1102.4476","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4476","created_at":"2026-05-18T00:21:01Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4476v2","created_at":"2026-05-18T00:21:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4476","created_at":"2026-05-18T00:21:01Z"},{"alias_kind":"pith_short_12","alias_value":"VJNQJU644AZT","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VJNQJU644AZTRQZV","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VJNQJU64","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:0a0e67ee8a1eefe59bbfa7ea7dc90aa097b03f3c103c2212b6ee0ed5671310fe","target":"graph","created_at":"2026-05-18T00:21:01Z","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 investigate the equivariant cohomology of the natural torus action on a K-contact manifold and its relation to the topology of the Reeb flow. Using the contact moment map, we show that the equivariant cohomology of this action is Cohen-Macaulay, which is a generalization of equivariant formality for torus actions without fixed points. As a consequence, a generic component of the contact moment map is a perfect Morse-Bott function for the basic cohomology of the orbit foliation F of the Reeb flow. Assuming that the closed Reeb orbits are isolated, we show that the basic cohomology of F is tr","authors_text":"Dirk Toeben, Hiraku Nozawa, Oliver Goertsches","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-02-22T11:58:39Z","title":"Equivariant cohomology of K-contact manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4476","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":"sha256:886fa0049b7c819eab07e0a2b355eeeb3826d3c5663a8d296f2aa1e5280051c3","target":"record","created_at":"2026-05-18T00:21:01Z","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":"26abed4cb4f824494d498977f17e84110d62da237d800e66ed30b87d2eebd0f4","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-02-22T11:58:39Z","title_canon_sha256":"8bd16f3692ac5e126f02acda70cec0f638f6cb82045166a9c5e224ce9f0f5c7c"},"schema_version":"1.0","source":{"id":"1102.4476","kind":"arxiv","version":2}},"canonical_sha256":"aa5b04d3dce03338c3351c4a33de475e1ce2f101f3f098a6700fdcf93e8f54f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa5b04d3dce03338c3351c4a33de475e1ce2f101f3f098a6700fdcf93e8f54f6","first_computed_at":"2026-05-18T00:21:01.203593Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:01.203593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hi+uA/o7cmKyGeauBMWWhqjkbyZie2V0YdFvb0d0qvlrskTbuDpm1poePzStCZPeBabwFLyn1LF+LD89Qo8yAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:01.204064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.4476","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:886fa0049b7c819eab07e0a2b355eeeb3826d3c5663a8d296f2aa1e5280051c3","sha256:0a0e67ee8a1eefe59bbfa7ea7dc90aa097b03f3c103c2212b6ee0ed5671310fe"],"state_sha256":"f80cbabe2bc5b6bc4652b97b0d0f5649634d053dbbb18be57cab5b06561ca1e6"}