{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OAMPA3Z74QU3KQ7TXTDXF3MJEJ","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":"5a204b4f5b2612ab2a3d5c7c13d1d37c8a13a2fd30198f7e2c973891cd5b0950","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-23T02:14:30Z","title_canon_sha256":"18a5ef352a5ec3ec9ab3ef7f5461a13da65c19cc4deef3f51f26f894896a44ca"},"schema_version":"1.0","source":{"id":"1810.09629","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.09629","created_at":"2026-05-18T00:02:37Z"},{"alias_kind":"arxiv_version","alias_value":"1810.09629v1","created_at":"2026-05-18T00:02:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.09629","created_at":"2026-05-18T00:02:37Z"},{"alias_kind":"pith_short_12","alias_value":"OAMPA3Z74QU3","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OAMPA3Z74QU3KQ7T","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OAMPA3Z7","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:315cd9100b2da3fdbb492743aef17a4f43f19940f72e425c1a5a1ebc8e9f8e75","target":"graph","created_at":"2026-05-18T00:02:37Z","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":"Let $(X,T^{1,0}X)$ be a $(2n+1+d)$-dimensional compact CR manifold with codimension $d+1$, $d\\geq1$, and let $G$ be a $d$-dimensional compact Lie group with CR action on $X$ and $T$ be a globally defined vector field on $X$ such that $\\mathbb C TX=T^{1,0}X\\oplus T^{0,1}X\\oplus\\mathbb C T\\oplus\\mathbb C\\underline{\\mathfrak{g}}$, where $\\underline{\\mathfrak{g}}$ is the space of vector fields on $X$ induced by the Lie algebra of $G$. In this work, we show that if $X$ is strongly pseudoconvex in the direction of $T$ and $n\\geq 2$, then there exists a $G$-equivariant CR embedding of $X$ into $\\math","authors_text":"Chin-Yu Hsiao, Hendrik Herrmann, Kevin Fritsch","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-23T02:14:30Z","title":"$G$-equivariant embedding theorems for CR manifolds of high codimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.09629","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":"sha256:1ee2ba709587ea3053f7598ace6319c100babbe6d5c52fba42405e3a78affb00","target":"record","created_at":"2026-05-18T00:02:37Z","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":"5a204b4f5b2612ab2a3d5c7c13d1d37c8a13a2fd30198f7e2c973891cd5b0950","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-23T02:14:30Z","title_canon_sha256":"18a5ef352a5ec3ec9ab3ef7f5461a13da65c19cc4deef3f51f26f894896a44ca"},"schema_version":"1.0","source":{"id":"1810.09629","kind":"arxiv","version":1}},"canonical_sha256":"7018f06f3fe429b543f3bcc772ed8922595ec0749a872e701e829e5bfeb0c042","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7018f06f3fe429b543f3bcc772ed8922595ec0749a872e701e829e5bfeb0c042","first_computed_at":"2026-05-18T00:02:37.061349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:37.061349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c18A+CY6ebUejWvt/VYTOFiY5IYKbCsUBg/g9B9SLId8gBDmz6Uofu6fngsn6EooKsv7f04Fn5/5xgCWgdTKDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:37.061829Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.09629","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ee2ba709587ea3053f7598ace6319c100babbe6d5c52fba42405e3a78affb00","sha256:315cd9100b2da3fdbb492743aef17a4f43f19940f72e425c1a5a1ebc8e9f8e75"],"state_sha256":"aa335c1ba5784ff4dada3934f4fd83ab66dc79934403eb2fad24edbfb74360f3"}