{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:I6MP5CAVPX76LXR3OGI7JJ3GTU","short_pith_number":"pith:I6MP5CAV","schema_version":"1.0","canonical_sha256":"4798fe88157dffe5de3b7191f4a7669d01b891289096226675cdb2f3481630d7","source":{"kind":"arxiv","id":"1305.2896","version":3},"attestation_state":"computed","paper":{"title":"From quasimodes to resonances: exponentially decaying perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.AP","authors_text":"Oran Gannot","submitted_at":"2013-05-13T19:20:38Z","abstract_excerpt":"We consider self-adjoint operators of black-box type which are exponentially close to the free Laplacian near infinity, and prove an exponential bound for the resolvent in a strip away from resonances. Here the resonances are defined as poles of the meromorphic continuation of the resolvent between appropriate exponentially weighted spaces. We then use a local version of the maximum principle to prove that any cluster of real quasimodes generates at least as many resonances, with multiplicity, rapidly converging to the quasimodes."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1305.2896","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-13T19:20:38Z","cross_cats_sorted":["math.SP"],"title_canon_sha256":"1f6b252d0832fdd1a9e88a7076fc074b8acdf0c8a49a3367258295b86dcb89a1","abstract_canon_sha256":"841dc0fafe8b535939b11857c308c8a8442cc79c6b96353df483356993d7573c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:25.373904Z","signature_b64":"bILMB84Cx0BPWsVzu/3/eJzt0a4hQ/7hw0x+W20RUWHvuXcpQmvQ1JkAo3xsIxyyCSh6o9D3BXjI5zII79j1DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4798fe88157dffe5de3b7191f4a7669d01b891289096226675cdb2f3481630d7","last_reissued_at":"2026-05-18T01:22:25.373170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:25.373170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From quasimodes to resonances: exponentially decaying perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.AP","authors_text":"Oran Gannot","submitted_at":"2013-05-13T19:20:38Z","abstract_excerpt":"We consider self-adjoint operators of black-box type which are exponentially close to the free Laplacian near infinity, and prove an exponential bound for the resolvent in a strip away from resonances. Here the resonances are defined as poles of the meromorphic continuation of the resolvent between appropriate exponentially weighted spaces. We then use a local version of the maximum principle to prove that any cluster of real quasimodes generates at least as many resonances, with multiplicity, rapidly converging to the quasimodes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2896","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1305.2896","created_at":"2026-05-18T01:22:25.373280+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.2896v3","created_at":"2026-05-18T01:22:25.373280+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2896","created_at":"2026-05-18T01:22:25.373280+00:00"},{"alias_kind":"pith_short_12","alias_value":"I6MP5CAVPX76","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"I6MP5CAVPX76LXR3","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"I6MP5CAV","created_at":"2026-05-18T12:27:46.883200+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I6MP5CAVPX76LXR3OGI7JJ3GTU","json":"https://pith.science/pith/I6MP5CAVPX76LXR3OGI7JJ3GTU.json","graph_json":"https://pith.science/api/pith-number/I6MP5CAVPX76LXR3OGI7JJ3GTU/graph.json","events_json":"https://pith.science/api/pith-number/I6MP5CAVPX76LXR3OGI7JJ3GTU/events.json","paper":"https://pith.science/paper/I6MP5CAV"},"agent_actions":{"view_html":"https://pith.science/pith/I6MP5CAVPX76LXR3OGI7JJ3GTU","download_json":"https://pith.science/pith/I6MP5CAVPX76LXR3OGI7JJ3GTU.json","view_paper":"https://pith.science/paper/I6MP5CAV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.2896&json=true","fetch_graph":"https://pith.science/api/pith-number/I6MP5CAVPX76LXR3OGI7JJ3GTU/graph.json","fetch_events":"https://pith.science/api/pith-number/I6MP5CAVPX76LXR3OGI7JJ3GTU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I6MP5CAVPX76LXR3OGI7JJ3GTU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I6MP5CAVPX76LXR3OGI7JJ3GTU/action/storage_attestation","attest_author":"https://pith.science/pith/I6MP5CAVPX76LXR3OGI7JJ3GTU/action/author_attestation","sign_citation":"https://pith.science/pith/I6MP5CAVPX76LXR3OGI7JJ3GTU/action/citation_signature","submit_replication":"https://pith.science/pith/I6MP5CAVPX76LXR3OGI7JJ3GTU/action/replication_record"}},"created_at":"2026-05-18T01:22:25.373280+00:00","updated_at":"2026-05-18T01:22:25.373280+00:00"}