{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NP7BBBZO47JKJIGSYSUJ6OWAOH","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":"8e6e34bc02f800e0937472b1697e8ba66fc1a411305843d32973dca9668f0e0a","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-07-22T12:29:04Z","title_canon_sha256":"e8b6db3a670afd086d0befd7ddfd19c93474127652d930bd34189d0c514145ca"},"schema_version":"1.0","source":{"id":"1607.06650","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06650","created_at":"2026-05-18T01:10:39Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06650v1","created_at":"2026-05-18T01:10:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06650","created_at":"2026-05-18T01:10:39Z"},{"alias_kind":"pith_short_12","alias_value":"NP7BBBZO47JK","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"NP7BBBZO47JKJIGS","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"NP7BBBZO","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:6e322dbe2f5b2e534ee93e30d365a92adeeffe911c7c3ebb2184b016f52232e3","target":"graph","created_at":"2026-05-18T01:10:39Z","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 study the Schr\\\"odinger equation on $\\R$ with a potential behaving as $x^{2l}$ at infinity, $l\\in[1,+\\infty)$ and with a small time quasiperiodic perturbation. We prove that, if the perturbation belongs to a class of unbounded symbols including smooth potentials and magnetic type terms with controlled growth at infinity, then the system is reducible.","authors_text":"Dario Bambusi","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-07-22T12:29:04Z","title":"Reducibility of 1-d Schr\\\"odinger equation with time quasiperiodic unbounded perturbations, II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06650","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":"sha256:96d18bb85344978515e435ca3d26ac76b5f19a8e3a75410226ad4ce9451fa5e8","target":"record","created_at":"2026-05-18T01:10:39Z","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":"8e6e34bc02f800e0937472b1697e8ba66fc1a411305843d32973dca9668f0e0a","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-07-22T12:29:04Z","title_canon_sha256":"e8b6db3a670afd086d0befd7ddfd19c93474127652d930bd34189d0c514145ca"},"schema_version":"1.0","source":{"id":"1607.06650","kind":"arxiv","version":1}},"canonical_sha256":"6bfe10872ee7d2a4a0d2c4a89f3ac071fda08d506a28282f8ad10a02203486dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bfe10872ee7d2a4a0d2c4a89f3ac071fda08d506a28282f8ad10a02203486dc","first_computed_at":"2026-05-18T01:10:39.379328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:39.379328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EYdF6NBku//nV+vC0FH+32Ms/4Xn7lpHszwWJ6PHfx6j3u0SALJam+qQ56ix0ilyJgFFzePqU3KEev6SaMo8Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:39.379781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06650","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96d18bb85344978515e435ca3d26ac76b5f19a8e3a75410226ad4ce9451fa5e8","sha256:6e322dbe2f5b2e534ee93e30d365a92adeeffe911c7c3ebb2184b016f52232e3"],"state_sha256":"0ccf00f694ff7e6e48e72c698c34c30339b282d59bae59475545559646aaa93b"}