{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:A3SEMWMDR4ZPQQK6KHSWALLGFQ","short_pith_number":"pith:A3SEMWMD","schema_version":"1.0","canonical_sha256":"06e44659838f32f8415e51e5602d662c05ad96a19a699f187668310283b8f321","source":{"kind":"arxiv","id":"1407.0638","version":2},"attestation_state":"computed","paper":{"title":"Low Dimensional Polar Actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Francisco J. Gozzi","submitted_at":"2014-07-02T16:33:02Z","abstract_excerpt":"Polar manifolds are Riemannian G-manifolds admitting a \"section\", i.e., a complete submanifold passing through every orbit and doing so orthogonally. We consider compact simply-connected polar manifolds and achieve an equivariantly diffeomorphic classification in dimensions 5 or less. As an application, we determine which of these polar actions admit an invariant metric with non-negative curvature."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1407.0638","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-07-02T16:33:02Z","cross_cats_sorted":[],"title_canon_sha256":"647bebca42871e7172adec0d851209d004abb621236830d8d47060de97db978c","abstract_canon_sha256":"e3e56ade49713f5cf0de4601f14d11f390add5869e12b346d7c57ccc8cdfbad7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:53.738294Z","signature_b64":"AFsL7zWk6An0Sr+Kcr+baqsIDnSqzhxd4QpHHjTjF0O008CJWyOjCIBNRTSuesqd8iNByuQbxw0hx50bJ3wtCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06e44659838f32f8415e51e5602d662c05ad96a19a699f187668310283b8f321","last_reissued_at":"2026-05-18T02:37:53.737600Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:53.737600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low Dimensional Polar Actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Francisco J. Gozzi","submitted_at":"2014-07-02T16:33:02Z","abstract_excerpt":"Polar manifolds are Riemannian G-manifolds admitting a \"section\", i.e., a complete submanifold passing through every orbit and doing so orthogonally. We consider compact simply-connected polar manifolds and achieve an equivariantly diffeomorphic classification in dimensions 5 or less. As an application, we determine which of these polar actions admit an invariant metric with non-negative curvature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0638","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1407.0638","created_at":"2026-05-18T02:37:53.737717+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.0638v2","created_at":"2026-05-18T02:37:53.737717+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0638","created_at":"2026-05-18T02:37:53.737717+00:00"},{"alias_kind":"pith_short_12","alias_value":"A3SEMWMDR4ZP","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"A3SEMWMDR4ZPQQK6","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"A3SEMWMD","created_at":"2026-05-18T12:28:19.803747+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A3SEMWMDR4ZPQQK6KHSWALLGFQ","json":"https://pith.science/pith/A3SEMWMDR4ZPQQK6KHSWALLGFQ.json","graph_json":"https://pith.science/api/pith-number/A3SEMWMDR4ZPQQK6KHSWALLGFQ/graph.json","events_json":"https://pith.science/api/pith-number/A3SEMWMDR4ZPQQK6KHSWALLGFQ/events.json","paper":"https://pith.science/paper/A3SEMWMD"},"agent_actions":{"view_html":"https://pith.science/pith/A3SEMWMDR4ZPQQK6KHSWALLGFQ","download_json":"https://pith.science/pith/A3SEMWMDR4ZPQQK6KHSWALLGFQ.json","view_paper":"https://pith.science/paper/A3SEMWMD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.0638&json=true","fetch_graph":"https://pith.science/api/pith-number/A3SEMWMDR4ZPQQK6KHSWALLGFQ/graph.json","fetch_events":"https://pith.science/api/pith-number/A3SEMWMDR4ZPQQK6KHSWALLGFQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A3SEMWMDR4ZPQQK6KHSWALLGFQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A3SEMWMDR4ZPQQK6KHSWALLGFQ/action/storage_attestation","attest_author":"https://pith.science/pith/A3SEMWMDR4ZPQQK6KHSWALLGFQ/action/author_attestation","sign_citation":"https://pith.science/pith/A3SEMWMDR4ZPQQK6KHSWALLGFQ/action/citation_signature","submit_replication":"https://pith.science/pith/A3SEMWMDR4ZPQQK6KHSWALLGFQ/action/replication_record"}},"created_at":"2026-05-18T02:37:53.737717+00:00","updated_at":"2026-05-18T02:37:53.737717+00:00"}