{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:336D6CSLGIG6WZY5FOLH7WMITJ","short_pith_number":"pith:336D6CSL","schema_version":"1.0","canonical_sha256":"defc3f0a4b320deb671d2b967fd9889a7cc8f178e35d89cff12985ddaec65d28","source":{"kind":"arxiv","id":"1902.08606","version":2},"attestation_state":"computed","paper":{"title":"Resonances and PT symmetry in quantum curves","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP","quant-ph"],"primary_cat":"hep-th","authors_text":"Marcos Marino, Massimiliano Ronzani, Yoan Emery","submitted_at":"2019-02-22T18:46:45Z","abstract_excerpt":"In the correspondence between spectral problems and topological strings, it is natural to consider complex values for the string theory moduli. In the spectral theory side, this corresponds to non-Hermitian quantum curves with complex spectra and resonances, and in some cases, to PT-symmetric spectral problems. The correspondence leads to precise predictions about the spectral properties of these non-Hermitian operators. In this paper we develop techniques to compute the complex spectra of these quantum curves, providing in this way precision tests of these predictions. In addition, we analyze"},"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":"1902.08606","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-02-22T18:46:45Z","cross_cats_sorted":["math-ph","math.MP","math.SP","quant-ph"],"title_canon_sha256":"17d51ff7b0e8aba5c8d368531cbb3ee154ba0151529501ae19dd0f951c7ec3ef","abstract_canon_sha256":"2ddb9ab84de3484afdd9122a894c68e1b61e5864c396b2ac29469ea4fe92ad24"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:03:58.150528Z","signature_b64":"9mpqcOpbjKDMSRsPljFEXvM662SEydSq9D4jSl29K/or5pcVyKc6CU/orHO+NvgjXFjgd2MDd+WGinYcz2pTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"defc3f0a4b320deb671d2b967fd9889a7cc8f178e35d89cff12985ddaec65d28","last_reissued_at":"2026-07-05T01:03:58.150043Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:03:58.150043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resonances and PT symmetry in quantum curves","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP","quant-ph"],"primary_cat":"hep-th","authors_text":"Marcos Marino, Massimiliano Ronzani, Yoan Emery","submitted_at":"2019-02-22T18:46:45Z","abstract_excerpt":"In the correspondence between spectral problems and topological strings, it is natural to consider complex values for the string theory moduli. In the spectral theory side, this corresponds to non-Hermitian quantum curves with complex spectra and resonances, and in some cases, to PT-symmetric spectral problems. The correspondence leads to precise predictions about the spectral properties of these non-Hermitian operators. In this paper we develop techniques to compute the complex spectra of these quantum curves, providing in this way precision tests of these predictions. In addition, we analyze"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08606","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1902.08606/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1902.08606","created_at":"2026-07-05T01:03:58.150101+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.08606v2","created_at":"2026-07-05T01:03:58.150101+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.08606","created_at":"2026-07-05T01:03:58.150101+00:00"},{"alias_kind":"pith_short_12","alias_value":"336D6CSLGIG6","created_at":"2026-07-05T01:03:58.150101+00:00"},{"alias_kind":"pith_short_16","alias_value":"336D6CSLGIG6WZY5","created_at":"2026-07-05T01:03:58.150101+00:00"},{"alias_kind":"pith_short_8","alias_value":"336D6CSL","created_at":"2026-07-05T01:03:58.150101+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.06371","citing_title":"Template masks for 4D-STEM","ref_index":84,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/336D6CSLGIG6WZY5FOLH7WMITJ","json":"https://pith.science/pith/336D6CSLGIG6WZY5FOLH7WMITJ.json","graph_json":"https://pith.science/api/pith-number/336D6CSLGIG6WZY5FOLH7WMITJ/graph.json","events_json":"https://pith.science/api/pith-number/336D6CSLGIG6WZY5FOLH7WMITJ/events.json","paper":"https://pith.science/paper/336D6CSL"},"agent_actions":{"view_html":"https://pith.science/pith/336D6CSLGIG6WZY5FOLH7WMITJ","download_json":"https://pith.science/pith/336D6CSLGIG6WZY5FOLH7WMITJ.json","view_paper":"https://pith.science/paper/336D6CSL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.08606&json=true","fetch_graph":"https://pith.science/api/pith-number/336D6CSLGIG6WZY5FOLH7WMITJ/graph.json","fetch_events":"https://pith.science/api/pith-number/336D6CSLGIG6WZY5FOLH7WMITJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/336D6CSLGIG6WZY5FOLH7WMITJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/336D6CSLGIG6WZY5FOLH7WMITJ/action/storage_attestation","attest_author":"https://pith.science/pith/336D6CSLGIG6WZY5FOLH7WMITJ/action/author_attestation","sign_citation":"https://pith.science/pith/336D6CSLGIG6WZY5FOLH7WMITJ/action/citation_signature","submit_replication":"https://pith.science/pith/336D6CSLGIG6WZY5FOLH7WMITJ/action/replication_record"}},"created_at":"2026-07-05T01:03:58.150101+00:00","updated_at":"2026-07-05T01:03:58.150101+00:00"}