{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ACIWVKG2BGVLFTNRHDHQPGB3YY","short_pith_number":"pith:ACIWVKG2","schema_version":"1.0","canonical_sha256":"00916aa8da09aab2cdb138cf07983bc6061604abbf170b6cbeac80c5f345501f","source":{"kind":"arxiv","id":"1004.3361","version":3},"attestation_state":"computed","paper":{"title":"From open quantum systems to open quantum maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math-ph","math.DS","math.MP","nlin.CD"],"primary_cat":"math.AP","authors_text":"Johannes Sjoestrand (IMB), Maciej Zworski (UC BERKELEY MATHS), St\\'ephane Nonnenmacher (IPHT)","submitted_at":"2010-04-20T07:02:20Z","abstract_excerpt":"For a class of quantized open chaotic systems satisfying a natural dynamical assumption, we show that the study of the resolvent, and hence of scattering and resonances, can be reduced to the study of a family of open quantum maps, that is of finite dimensional operators obtained by quantizing the Poincar\\'e map associated with the flow near the set of trapped trajectories."},"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":"1004.3361","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-04-20T07:02:20Z","cross_cats_sorted":["cs.LG","math-ph","math.DS","math.MP","nlin.CD"],"title_canon_sha256":"a9d8f972faf78fc154a9c1ee54b271eacc488b617cc34dd22df7f00c5ed1a3b1","abstract_canon_sha256":"76e2a37871cad0e0678299a17a3a309a8b587af6361194b1d9d7fd9b6a304aa2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:56.413547Z","signature_b64":"qedhMo/ajG5FOdvXuG+b3LfIXO8cOrJcpXPcOy6fNCu1w5uvbi36fVStYLz6z6h7m76b+IbRVvt8Vwix6BV9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00916aa8da09aab2cdb138cf07983bc6061604abbf170b6cbeac80c5f345501f","last_reissued_at":"2026-05-18T02:07:56.412796Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:56.412796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From open quantum systems to open quantum maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math-ph","math.DS","math.MP","nlin.CD"],"primary_cat":"math.AP","authors_text":"Johannes Sjoestrand (IMB), Maciej Zworski (UC BERKELEY MATHS), St\\'ephane Nonnenmacher (IPHT)","submitted_at":"2010-04-20T07:02:20Z","abstract_excerpt":"For a class of quantized open chaotic systems satisfying a natural dynamical assumption, we show that the study of the resolvent, and hence of scattering and resonances, can be reduced to the study of a family of open quantum maps, that is of finite dimensional operators obtained by quantizing the Poincar\\'e map associated with the flow near the set of trapped trajectories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3361","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":"1004.3361","created_at":"2026-05-18T02:07:56.412918+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.3361v3","created_at":"2026-05-18T02:07:56.412918+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3361","created_at":"2026-05-18T02:07:56.412918+00:00"},{"alias_kind":"pith_short_12","alias_value":"ACIWVKG2BGVL","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"ACIWVKG2BGVLFTNR","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"ACIWVKG2","created_at":"2026-05-18T12:26:05.355336+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/ACIWVKG2BGVLFTNRHDHQPGB3YY","json":"https://pith.science/pith/ACIWVKG2BGVLFTNRHDHQPGB3YY.json","graph_json":"https://pith.science/api/pith-number/ACIWVKG2BGVLFTNRHDHQPGB3YY/graph.json","events_json":"https://pith.science/api/pith-number/ACIWVKG2BGVLFTNRHDHQPGB3YY/events.json","paper":"https://pith.science/paper/ACIWVKG2"},"agent_actions":{"view_html":"https://pith.science/pith/ACIWVKG2BGVLFTNRHDHQPGB3YY","download_json":"https://pith.science/pith/ACIWVKG2BGVLFTNRHDHQPGB3YY.json","view_paper":"https://pith.science/paper/ACIWVKG2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.3361&json=true","fetch_graph":"https://pith.science/api/pith-number/ACIWVKG2BGVLFTNRHDHQPGB3YY/graph.json","fetch_events":"https://pith.science/api/pith-number/ACIWVKG2BGVLFTNRHDHQPGB3YY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ACIWVKG2BGVLFTNRHDHQPGB3YY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ACIWVKG2BGVLFTNRHDHQPGB3YY/action/storage_attestation","attest_author":"https://pith.science/pith/ACIWVKG2BGVLFTNRHDHQPGB3YY/action/author_attestation","sign_citation":"https://pith.science/pith/ACIWVKG2BGVLFTNRHDHQPGB3YY/action/citation_signature","submit_replication":"https://pith.science/pith/ACIWVKG2BGVLFTNRHDHQPGB3YY/action/replication_record"}},"created_at":"2026-05-18T02:07:56.412918+00:00","updated_at":"2026-05-18T02:07:56.412918+00:00"}