{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:TSRU2XGTPNATOFOG2XGRNP2LXY","short_pith_number":"pith:TSRU2XGT","schema_version":"1.0","canonical_sha256":"9ca34d5cd37b413715c6d5cd16bf4bbe28f8fe475b64a9f41ccfe306c86d3ad3","source":{"kind":"arxiv","id":"1409.2670","version":2},"attestation_state":"computed","paper":{"title":"Open quantum systems with loss and gain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hichem Eleuch, Ingrid Rotter","submitted_at":"2014-09-09T10:36:02Z","abstract_excerpt":"We consider different properties of small open quantum systems coupled to an environment and described by a non-Hermitian Hamilton operator. Of special interest is the non-analytical behavior of the eigenvalues in the vicinity of singular points, the so-called exceptional points (EPs), at which the eigenvalues of two states coalesce and the corresponding eigenfunctions are linearly dependent from one another. The phases of the eigenfunctions are not rigid in approaching an EP and providing therewith the possibility to put information from the environment into the system. All characteristic pro"},"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":"1409.2670","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-09T10:36:02Z","cross_cats_sorted":[],"title_canon_sha256":"8b37dc7f6823c4bd4201c4f89d08917a8cd95cd8c500fb293b8531c0281eedca","abstract_canon_sha256":"ae592bd0310574bc80614cc7024638fee72e9b4f080d7333be0afeeb5b82b97e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:51.634615Z","signature_b64":"eFJmArqMMGV8vGUDHFbWKht+7nr7ReBhCCubdGgpkJYNCTTNCOkiHCHYTU1IkeXf2RHhOe0z3IuNKgvXQoqDBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ca34d5cd37b413715c6d5cd16bf4bbe28f8fe475b64a9f41ccfe306c86d3ad3","last_reissued_at":"2026-05-18T02:18:51.634044Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:51.634044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Open quantum systems with loss and gain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hichem Eleuch, Ingrid Rotter","submitted_at":"2014-09-09T10:36:02Z","abstract_excerpt":"We consider different properties of small open quantum systems coupled to an environment and described by a non-Hermitian Hamilton operator. Of special interest is the non-analytical behavior of the eigenvalues in the vicinity of singular points, the so-called exceptional points (EPs), at which the eigenvalues of two states coalesce and the corresponding eigenfunctions are linearly dependent from one another. The phases of the eigenfunctions are not rigid in approaching an EP and providing therewith the possibility to put information from the environment into the system. All characteristic pro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2670","kind":"arxiv","version":2},"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":"1409.2670","created_at":"2026-05-18T02:18:51.634121+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.2670v2","created_at":"2026-05-18T02:18:51.634121+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2670","created_at":"2026-05-18T02:18:51.634121+00:00"},{"alias_kind":"pith_short_12","alias_value":"TSRU2XGTPNAT","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"TSRU2XGTPNATOFOG","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"TSRU2XGT","created_at":"2026-05-18T12:28:52.271510+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/TSRU2XGTPNATOFOG2XGRNP2LXY","json":"https://pith.science/pith/TSRU2XGTPNATOFOG2XGRNP2LXY.json","graph_json":"https://pith.science/api/pith-number/TSRU2XGTPNATOFOG2XGRNP2LXY/graph.json","events_json":"https://pith.science/api/pith-number/TSRU2XGTPNATOFOG2XGRNP2LXY/events.json","paper":"https://pith.science/paper/TSRU2XGT"},"agent_actions":{"view_html":"https://pith.science/pith/TSRU2XGTPNATOFOG2XGRNP2LXY","download_json":"https://pith.science/pith/TSRU2XGTPNATOFOG2XGRNP2LXY.json","view_paper":"https://pith.science/paper/TSRU2XGT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.2670&json=true","fetch_graph":"https://pith.science/api/pith-number/TSRU2XGTPNATOFOG2XGRNP2LXY/graph.json","fetch_events":"https://pith.science/api/pith-number/TSRU2XGTPNATOFOG2XGRNP2LXY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TSRU2XGTPNATOFOG2XGRNP2LXY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TSRU2XGTPNATOFOG2XGRNP2LXY/action/storage_attestation","attest_author":"https://pith.science/pith/TSRU2XGTPNATOFOG2XGRNP2LXY/action/author_attestation","sign_citation":"https://pith.science/pith/TSRU2XGTPNATOFOG2XGRNP2LXY/action/citation_signature","submit_replication":"https://pith.science/pith/TSRU2XGTPNATOFOG2XGRNP2LXY/action/replication_record"}},"created_at":"2026-05-18T02:18:51.634121+00:00","updated_at":"2026-05-18T02:18:51.634121+00:00"}