{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:3PQ6WJVQZKIE2W3MMFSVZBDZAR","short_pith_number":"pith:3PQ6WJVQ","schema_version":"1.0","canonical_sha256":"dbe1eb26b0ca904d5b6c61655c84790473d1c675be2dc5053f0aaef6fa802ba6","source":{"kind":"arxiv","id":"1204.2701","version":2},"attestation_state":"computed","paper":{"title":"Perturbative Analysis of Spectral Singularities and Their Optical Realizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","physics.optics"],"primary_cat":"quant-ph","authors_text":"Ali Mostafazadeh, Saber Rostamzadeh","submitted_at":"2012-04-12T12:29:23Z","abstract_excerpt":"We develop a perturbative method of computing spectral singularities of a Schreodinger operator defined by a general complex potential that vanishes outside a closed interval. These can be realized as zero-width resonances in optical gain media and correspond to a lasing effect that occurs at the threshold gain. Their time-reversed copies yield coherent perfect absorption of light that is also known as an antilaser. We use our general results to establish the exactness of the n-th order perturbation theory for an arbitrary complex potential consisting of n delta-functions, obtain an exact expr"},"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":"1204.2701","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-12T12:29:23Z","cross_cats_sorted":["hep-th","math-ph","math.MP","physics.optics"],"title_canon_sha256":"97f00b75c5fc1b468ac9f20864c8059a3c9f9d0d5c924e25c041fcce5906f464","abstract_canon_sha256":"bd8a2281e4bd676b1d05992e4b7d29ad97a2e19a8156440f4c5715ee61e3b55e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:53.136023Z","signature_b64":"W9D4uja7OHSYJWroLJU+Mr9lj5PLsHQY+Cr0l0Em78GYV4nqaZflQpA21RbPwH1RB0HqQMBKwpzcO2z8a6l6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbe1eb26b0ca904d5b6c61655c84790473d1c675be2dc5053f0aaef6fa802ba6","last_reissued_at":"2026-05-18T01:57:53.135444Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:53.135444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Perturbative Analysis of Spectral Singularities and Their Optical Realizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","physics.optics"],"primary_cat":"quant-ph","authors_text":"Ali Mostafazadeh, Saber Rostamzadeh","submitted_at":"2012-04-12T12:29:23Z","abstract_excerpt":"We develop a perturbative method of computing spectral singularities of a Schreodinger operator defined by a general complex potential that vanishes outside a closed interval. These can be realized as zero-width resonances in optical gain media and correspond to a lasing effect that occurs at the threshold gain. Their time-reversed copies yield coherent perfect absorption of light that is also known as an antilaser. We use our general results to establish the exactness of the n-th order perturbation theory for an arbitrary complex potential consisting of n delta-functions, obtain an exact expr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2701","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":"1204.2701","created_at":"2026-05-18T01:57:53.135544+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.2701v2","created_at":"2026-05-18T01:57:53.135544+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2701","created_at":"2026-05-18T01:57:53.135544+00:00"},{"alias_kind":"pith_short_12","alias_value":"3PQ6WJVQZKIE","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"3PQ6WJVQZKIE2W3M","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"3PQ6WJVQ","created_at":"2026-05-18T12:26:53.410803+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/3PQ6WJVQZKIE2W3MMFSVZBDZAR","json":"https://pith.science/pith/3PQ6WJVQZKIE2W3MMFSVZBDZAR.json","graph_json":"https://pith.science/api/pith-number/3PQ6WJVQZKIE2W3MMFSVZBDZAR/graph.json","events_json":"https://pith.science/api/pith-number/3PQ6WJVQZKIE2W3MMFSVZBDZAR/events.json","paper":"https://pith.science/paper/3PQ6WJVQ"},"agent_actions":{"view_html":"https://pith.science/pith/3PQ6WJVQZKIE2W3MMFSVZBDZAR","download_json":"https://pith.science/pith/3PQ6WJVQZKIE2W3MMFSVZBDZAR.json","view_paper":"https://pith.science/paper/3PQ6WJVQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.2701&json=true","fetch_graph":"https://pith.science/api/pith-number/3PQ6WJVQZKIE2W3MMFSVZBDZAR/graph.json","fetch_events":"https://pith.science/api/pith-number/3PQ6WJVQZKIE2W3MMFSVZBDZAR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3PQ6WJVQZKIE2W3MMFSVZBDZAR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3PQ6WJVQZKIE2W3MMFSVZBDZAR/action/storage_attestation","attest_author":"https://pith.science/pith/3PQ6WJVQZKIE2W3MMFSVZBDZAR/action/author_attestation","sign_citation":"https://pith.science/pith/3PQ6WJVQZKIE2W3MMFSVZBDZAR/action/citation_signature","submit_replication":"https://pith.science/pith/3PQ6WJVQZKIE2W3MMFSVZBDZAR/action/replication_record"}},"created_at":"2026-05-18T01:57:53.135544+00:00","updated_at":"2026-05-18T01:57:53.135544+00:00"}