{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GSXEJ57ILM2GSFTAGEVLI3BMWT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b90deca33d9f391e32133486a69c0dad20629e4d13e54f4f92478768df0d9b7f","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-18T06:55:04Z","title_canon_sha256":"7126be18da0f00309ea97ecc244cd4896722074f7e3ddbe4126bc843109e81ad"},"schema_version":"1.0","source":{"id":"1908.06384","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.06384","created_at":"2026-07-05T00:10:54Z"},{"alias_kind":"arxiv_version","alias_value":"1908.06384v2","created_at":"2026-07-05T00:10:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.06384","created_at":"2026-07-05T00:10:54Z"},{"alias_kind":"pith_short_12","alias_value":"GSXEJ57ILM2G","created_at":"2026-07-05T00:10:54Z"},{"alias_kind":"pith_short_16","alias_value":"GSXEJ57ILM2GSFTA","created_at":"2026-07-05T00:10:54Z"},{"alias_kind":"pith_short_8","alias_value":"GSXEJ57I","created_at":"2026-07-05T00:10:54Z"}],"graph_snapshots":[{"event_id":"sha256:61e28f713c36aedf404da694edf2027695fcdbcd400b3a54b1ccc4e735bb39a6","target":"graph","created_at":"2026-07-05T00:10:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.06384/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a Schroedinger operator on the axis with a bipartite potential consisting of two compactly supported complex-valued functions, whose supports are separated by a large distance. We show that this operator possesses a sequence of approximately equidistant complex-valued wavenumbers situated near the real axis. Depending on its imaginary part, each wavenumber corresponds to either a resonance or an eigenvalue. The obtained sequence of wavenumbers resembles transmission resonances in electromagnetic Fabry-P\\'erot interferometers formed by parallel mirrors. Our result has potential appl","authors_text":"D.A. Zezyulin, D.I. Borisov","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-18T06:55:04Z","title":"Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.06384","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e140be87f984f61093a466dd1e29fad8dfb8f31c1af246c9a4a89a58923e4ce0","target":"record","created_at":"2026-07-05T00:10:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b90deca33d9f391e32133486a69c0dad20629e4d13e54f4f92478768df0d9b7f","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-18T06:55:04Z","title_canon_sha256":"7126be18da0f00309ea97ecc244cd4896722074f7e3ddbe4126bc843109e81ad"},"schema_version":"1.0","source":{"id":"1908.06384","kind":"arxiv","version":2}},"canonical_sha256":"34ae44f7e85b34691660312ab46c2cb4e546655852312d2e8f0d795e9d6c7fad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34ae44f7e85b34691660312ab46c2cb4e546655852312d2e8f0d795e9d6c7fad","first_computed_at":"2026-07-05T00:10:54.329007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:10:54.329007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qlv3DQrnU1nJdAhDzybtV9v4dBbDnjZurnsF88ZozcNJa+JzqXtH7gKXBcFSvxXf7B+EtzYJuwUxpF+9mRuzCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:10:54.329399Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.06384","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e140be87f984f61093a466dd1e29fad8dfb8f31c1af246c9a4a89a58923e4ce0","sha256:61e28f713c36aedf404da694edf2027695fcdbcd400b3a54b1ccc4e735bb39a6"],"state_sha256":"c75e41117924c507b5be74146e7736ddca4704add99aa65bcbfe6637695b3b3a"}