{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:KF7C5HZIDPOEA3MZOMBRZWZ2WP","short_pith_number":"pith:KF7C5HZI","schema_version":"1.0","canonical_sha256":"517e2e9f281bdc406d9973031cdb3ab3cb96343d1b29529d471a2666622cb5d0","source":{"kind":"arxiv","id":"1206.2162","version":1},"attestation_state":"computed","paper":{"title":"Avoided level crossings in open quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hichem Eleuch, Ingrid Rotter","submitted_at":"2012-06-11T11:16:38Z","abstract_excerpt":"At high level density, two states avoid usually crossing at the critical value $a_{\\rm cr}$ of the parameter $a$ by which the system is controlled. The wavefunctions of the two states are mixed in a finite parameter range around $a_{\\rm cr}$. This holds true for discrete states as well as for narrow resonance states which are coupled via the environment of scattering wavefunctions. We study the influence of avoided level crossings onto four overlapping complex eigenvalues of a symmetric non-Hermitian operator. The mixing of the two wavefunctions around $a_{\\rm cr}$ is simulated, in each case, "},"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":"1206.2162","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-06-11T11:16:38Z","cross_cats_sorted":[],"title_canon_sha256":"7641132b7420db62397a1e9f1da648ccb18705c239f05611d709f0639be7a5d4","abstract_canon_sha256":"d18194702cbc99553eb971cca18d2d2150e1ea6011d4c4d2b5dec6f10335cdc8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:53.314932Z","signature_b64":"bU3xxwmLRWnwz6lsL10hadMjAfO+klNlR0VuE6F48tsVk4XAig/5XTovn2efAoGTMxCuULM+WDApn2XtfA+iDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"517e2e9f281bdc406d9973031cdb3ab3cb96343d1b29529d471a2666622cb5d0","last_reissued_at":"2026-05-18T03:53:53.314235Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:53.314235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Avoided level crossings in open quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hichem Eleuch, Ingrid Rotter","submitted_at":"2012-06-11T11:16:38Z","abstract_excerpt":"At high level density, two states avoid usually crossing at the critical value $a_{\\rm cr}$ of the parameter $a$ by which the system is controlled. The wavefunctions of the two states are mixed in a finite parameter range around $a_{\\rm cr}$. This holds true for discrete states as well as for narrow resonance states which are coupled via the environment of scattering wavefunctions. We study the influence of avoided level crossings onto four overlapping complex eigenvalues of a symmetric non-Hermitian operator. The mixing of the two wavefunctions around $a_{\\rm cr}$ is simulated, in each case, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2162","kind":"arxiv","version":1},"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":"1206.2162","created_at":"2026-05-18T03:53:53.314331+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.2162v1","created_at":"2026-05-18T03:53:53.314331+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2162","created_at":"2026-05-18T03:53:53.314331+00:00"},{"alias_kind":"pith_short_12","alias_value":"KF7C5HZIDPOE","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"KF7C5HZIDPOEA3MZ","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"KF7C5HZI","created_at":"2026-05-18T12:27:11.947152+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/KF7C5HZIDPOEA3MZOMBRZWZ2WP","json":"https://pith.science/pith/KF7C5HZIDPOEA3MZOMBRZWZ2WP.json","graph_json":"https://pith.science/api/pith-number/KF7C5HZIDPOEA3MZOMBRZWZ2WP/graph.json","events_json":"https://pith.science/api/pith-number/KF7C5HZIDPOEA3MZOMBRZWZ2WP/events.json","paper":"https://pith.science/paper/KF7C5HZI"},"agent_actions":{"view_html":"https://pith.science/pith/KF7C5HZIDPOEA3MZOMBRZWZ2WP","download_json":"https://pith.science/pith/KF7C5HZIDPOEA3MZOMBRZWZ2WP.json","view_paper":"https://pith.science/paper/KF7C5HZI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.2162&json=true","fetch_graph":"https://pith.science/api/pith-number/KF7C5HZIDPOEA3MZOMBRZWZ2WP/graph.json","fetch_events":"https://pith.science/api/pith-number/KF7C5HZIDPOEA3MZOMBRZWZ2WP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KF7C5HZIDPOEA3MZOMBRZWZ2WP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KF7C5HZIDPOEA3MZOMBRZWZ2WP/action/storage_attestation","attest_author":"https://pith.science/pith/KF7C5HZIDPOEA3MZOMBRZWZ2WP/action/author_attestation","sign_citation":"https://pith.science/pith/KF7C5HZIDPOEA3MZOMBRZWZ2WP/action/citation_signature","submit_replication":"https://pith.science/pith/KF7C5HZIDPOEA3MZOMBRZWZ2WP/action/replication_record"}},"created_at":"2026-05-18T03:53:53.314331+00:00","updated_at":"2026-05-18T03:53:53.314331+00:00"}