{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:L5CNZ56X37HCITEVMIA3FZMLBU","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":"88a54f82d683660ae79e20d9680eb08e2f0c3242a5dcfc9d5ade09dca77a9388","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-08-24T06:02:33Z","title_canon_sha256":"20298a1d6fc698aa6e88e269838be62cdb111ed2319a161c9379a2c3a14cbb22"},"schema_version":"1.0","source":{"id":"1008.3964","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3964","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3964v2","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3964","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"L5CNZ56X37HC","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"L5CNZ56X37HCITEV","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"L5CNZ56X","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:6ecbcd8b74f547393eb9127362ba919efc942531c4decab78f28ad542932bffd","target":"graph","created_at":"2026-05-18T03:39:53Z","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"},"paper":{"abstract_excerpt":"We use semiclassical propagation of singularities to give a general method for gluing together resolvent estimates. As an application we prove estimates for the analytic continuation of the resolvent of a Schr\\\"odinger operator for certain asymptotically hyperbolic manifolds in the presence of trapping which is sufficiently mild in one of several senses. As a corollary we obtain local exponential decay for the wave propagator and local smoothing for the Schr\\\"odinger propagator.","authors_text":"Andr\\'as Vasy, Kiril Datchev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-08-24T06:02:33Z","title":"Gluing semiclassical resolvent estimates via propagation of singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3964","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":"sha256:0f52a1298b67324b080fcdab5907fec90dbab0018707d9750c56e11c66c205c7","target":"record","created_at":"2026-05-18T03:39:53Z","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":"88a54f82d683660ae79e20d9680eb08e2f0c3242a5dcfc9d5ade09dca77a9388","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-08-24T06:02:33Z","title_canon_sha256":"20298a1d6fc698aa6e88e269838be62cdb111ed2319a161c9379a2c3a14cbb22"},"schema_version":"1.0","source":{"id":"1008.3964","kind":"arxiv","version":2}},"canonical_sha256":"5f44dcf7d7dfce244c956201b2e58b0d34b9769f364393cf11ceefa9d45a02f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f44dcf7d7dfce244c956201b2e58b0d34b9769f364393cf11ceefa9d45a02f0","first_computed_at":"2026-05-18T03:39:53.350545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:53.350545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1oyvX7Ww71ycrSPPcASZFqhEzwUj9/ts/kRuI6nqjKXiJLXhcAIlY4CqiauqIARsUtt6A90uyDfi+2w7dCfjAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:53.351108Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.3964","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f52a1298b67324b080fcdab5907fec90dbab0018707d9750c56e11c66c205c7","sha256:6ecbcd8b74f547393eb9127362ba919efc942531c4decab78f28ad542932bffd"],"state_sha256":"2f43eab94932519d56f5780799511ce3e2ba0d8ed0e161d926739baf6121366c"}