{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZYM5K6ISHMUQNOI3MTUEEG5E37","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":"f4671d960ddb6960273d651b6a3399811dc3b562cebd85ba53ab2ef337d6092f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-03T20:57:05Z","title_canon_sha256":"ccfae0ced8025679bb9a0e05c8670329b00babe09005395584bd86d477785943"},"schema_version":"1.0","source":{"id":"1708.01307","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01307","created_at":"2026-05-18T00:38:37Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01307v1","created_at":"2026-05-18T00:38:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01307","created_at":"2026-05-18T00:38:37Z"},{"alias_kind":"pith_short_12","alias_value":"ZYM5K6ISHMUQ","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZYM5K6ISHMUQNOI3","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZYM5K6IS","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:f33e7c516eec83f84d7452342c68f39adc8a8a73971e1ce4a9ff8e366e5ddcd6","target":"graph","created_at":"2026-05-18T00:38:37Z","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":"We prove a couple of results concerning pseudodifferential perturbations of differential operators being sums of squares of vector fields and satisfying H\\\"ormander's condition. The first is on the minimal Gevrey regularity: if a sum of squares with analytic coefficients is perturbed with a pseudodifferential operator of order strictly less than its subelliptic index it still has the Gevrey minimal regularity. We also prove a statement concerning real analytic hypoellipticity for the same type of pseudodifferential perturbations, provided the operator satisfies to some extra conditions (see Th","authors_text":"Antonio Bove, Gregorio Chinni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-03T20:57:05Z","title":"Analytic and Gevrey Hypoellipticity for Perturbed Sums of Squares Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01307","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":"sha256:4ff7f5f94b8d625948546ff36961e66dec123ccae4c92dc0ba9ee5a05909745c","target":"record","created_at":"2026-05-18T00:38:37Z","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":"f4671d960ddb6960273d651b6a3399811dc3b562cebd85ba53ab2ef337d6092f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-03T20:57:05Z","title_canon_sha256":"ccfae0ced8025679bb9a0e05c8670329b00babe09005395584bd86d477785943"},"schema_version":"1.0","source":{"id":"1708.01307","kind":"arxiv","version":1}},"canonical_sha256":"ce19d579123b2906b91b64e8421ba4dfd4762ee5ad5180c0978c98f678ae93c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce19d579123b2906b91b64e8421ba4dfd4762ee5ad5180c0978c98f678ae93c2","first_computed_at":"2026-05-18T00:38:37.723379Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:37.723379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hMEB0NaP4POtoU+y7YqW6/DYm+XCrbiFSJpwTQobVWAcGsQ+rJz5aYFRyAp4wqkKaiWZOwgNtBbEIfITzlQ9Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:37.724058Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.01307","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ff7f5f94b8d625948546ff36961e66dec123ccae4c92dc0ba9ee5a05909745c","sha256:f33e7c516eec83f84d7452342c68f39adc8a8a73971e1ce4a9ff8e366e5ddcd6"],"state_sha256":"0ca18b5d54bfa2fdf0ce0a2578b55d3751189ab5132321e7159238bd8ea0f307"}