{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6YIJR7TPFLZBLZSAFTHM4EX3AG","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":"b295aeb70687ced003aa829f3d21ad9c24bd3cffc13528490242da9013a02d87","cross_cats_sorted":["math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-09T17:34:28Z","title_canon_sha256":"89c9466d21d90e8d86aebb43089975753569382fc326b40828f044b8e1d8bdc4"},"schema_version":"1.0","source":{"id":"1809.03012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03012","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03012v2","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03012","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"6YIJR7TPFLZB","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"pith_short_16","alias_value":"6YIJR7TPFLZBLZSA","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"pith_short_8","alias_value":"6YIJR7TP","created_at":"2026-07-05T00:14:53Z"}],"graph_snapshots":[{"event_id":"sha256:33b39648aa014847c943a5f9bf84cfe93b9aa96b3881a3182d0aebc06c2566ef","target":"graph","created_at":"2026-07-05T00:14:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1809.03012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the Schr\\\"odinger operator \\[ P=h^2 \\Delta_g + V \\] on $\\mathbb{R}^n$ equipped with a metric $g$ that is Euclidean outside a compact set. The real-valued potential $V$ is assumed to be compactly supported and smooth except at conormal singularities of order $-1-\\alpha$ along a compact hypersurface $Y.$ For $\\alpha>2$ (or even $\\alpha>1$ if the classical flow is unique), we show that if $E_0$ is a non-trapping energy for the classical flow, then the operator $P$ has no resonances in a region \\[\n  [E_0 - \\delta, E_0 + \\delta] - i[0,\\nu_0 h \\log(1/h)].\n  \\] The constant $\\nu_0$ is exp","authors_text":"Jared Wunsch, Oran Gannot","cross_cats":["math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-09T17:34:28Z","title":"Resonance-free regions for diffractive trapping by conormal potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03012","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":"sha256:0e182a4265194c04467a0360d0daf182423381284f3149d86eb15316ecaa59c6","target":"record","created_at":"2026-07-05T00:14:53Z","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":"b295aeb70687ced003aa829f3d21ad9c24bd3cffc13528490242da9013a02d87","cross_cats_sorted":["math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-09T17:34:28Z","title_canon_sha256":"89c9466d21d90e8d86aebb43089975753569382fc326b40828f044b8e1d8bdc4"},"schema_version":"1.0","source":{"id":"1809.03012","kind":"arxiv","version":2}},"canonical_sha256":"f61098fe6f2af215e6402ccece12fb01a134eab1c842a0182289e7d226e514a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f61098fe6f2af215e6402ccece12fb01a134eab1c842a0182289e7d226e514a8","first_computed_at":"2026-07-05T00:14:53.075018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:14:53.075018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ykr8bTjYsBIDSvccrySkTak3sWyosZNI5KtnfNb4sDSaHVNxk81yrZww9iSWxZTn9l5SZZzNK8eq5XIN0R3lBw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:14:53.075373Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.03012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e182a4265194c04467a0360d0daf182423381284f3149d86eb15316ecaa59c6","sha256:33b39648aa014847c943a5f9bf84cfe93b9aa96b3881a3182d0aebc06c2566ef"],"state_sha256":"ce2635479d00f43ada9457b6d04dc76837be4470610f934d4280593403ff3a11"}