{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZA2GE73NT7NSA4YA7ESB2IPH2O","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":"f57d06a8dcc487bdb1bee594ee7f37879626939ca094c530e93a956402632ec2","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-14T14:35:37Z","title_canon_sha256":"57df9af34dcd1bf790e725f25fbc2fcdd17c17e989105991db8293334f68ee08"},"schema_version":"1.0","source":{"id":"1704.04436","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04436","created_at":"2026-05-18T00:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04436v2","created_at":"2026-05-18T00:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04436","created_at":"2026-05-18T00:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"ZA2GE73NT7NS","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZA2GE73NT7NSA4YA","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZA2GE73N","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:00850a61abde9468a8ef32ad982d17fbe93891dc915d78b03914d37fa58a13d2","target":"graph","created_at":"2026-05-18T00:42:43Z","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":"In this article, we study a class of non-selfadjoint Schr{\\\"o}dinger operators H which are perturbation of some model operator H 0 satisfying a weighted coercive assumption. For the model operator H 0 , we prove that the derivatives of the resolvent satisfy some Gevrey estimates at threshold zero. As application, we establish large time expansions of semigroups e --tH and e --itH for t > 0 with subexponential time-decay estimates on the remainder, including possible presence of zero eigenvalue and real resonances.","authors_text":"Xue Ping Wang","cross_cats":["math-ph","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-14T14:35:37Z","title":"Gevrey estimates of the resolvent and sub-exponential time-decay of solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04436","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":"sha256:2df730e63a66c2ca8567a5050ccda8533175cc3b409a59deae9eb1490871a3ad","target":"record","created_at":"2026-05-18T00:42:43Z","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":"f57d06a8dcc487bdb1bee594ee7f37879626939ca094c530e93a956402632ec2","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-14T14:35:37Z","title_canon_sha256":"57df9af34dcd1bf790e725f25fbc2fcdd17c17e989105991db8293334f68ee08"},"schema_version":"1.0","source":{"id":"1704.04436","kind":"arxiv","version":2}},"canonical_sha256":"c834627f6d9fdb207300f9241d21e7d380e34fb1f93a6217c6982790631872d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c834627f6d9fdb207300f9241d21e7d380e34fb1f93a6217c6982790631872d7","first_computed_at":"2026-05-18T00:42:43.627097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:43.627097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qSLfGnlthiMCYv9g6KRKQD+abbVB2WFgs9lckq15qMGLDA0PNq4BIR7qbG0OkEJgskNqesJnox+gBuyJVHUVBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:43.627835Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.04436","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2df730e63a66c2ca8567a5050ccda8533175cc3b409a59deae9eb1490871a3ad","sha256:00850a61abde9468a8ef32ad982d17fbe93891dc915d78b03914d37fa58a13d2"],"state_sha256":"8692a36ec0c627507fa6678e796c279d619c93e7b52c98593488f9e2f1b80ced"}