{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:4ZLD2UO66XM6XSQDX2SB3UYJN7","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":"cbe14bfd8b2e90fcad13cf471c04e1329a2780006a27d73a68a0e9b85c7e524b","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"","primary_cat":"quant-ph","submitted_at":"2003-07-01T06:56:41Z","title_canon_sha256":"4f5602e0f834e0d8cb94c737f317831ff7973a2e795c322cfcabb17708172a79"},"schema_version":"1.0","source":{"id":"quant-ph/0307002","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0307002","created_at":"2026-07-04T16:42:32Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0307002v2","created_at":"2026-07-04T16:42:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0307002","created_at":"2026-07-04T16:42:32Z"},{"alias_kind":"pith_short_12","alias_value":"4ZLD2UO66XM6","created_at":"2026-07-04T16:42:32Z"},{"alias_kind":"pith_short_16","alias_value":"4ZLD2UO66XM6XSQD","created_at":"2026-07-04T16:42:32Z"},{"alias_kind":"pith_short_8","alias_value":"4ZLD2UO6","created_at":"2026-07-04T16:42:32Z"}],"graph_snapshots":[{"event_id":"sha256:8d6b75888e088f6afab959b64b2526720a5fa417687ea7c65fdd1cf8042851aa","target":"graph","created_at":"2026-07-04T16:42:32Z","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/quant-ph/0307002/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the spectral and symmetry properties of a quantum particle moving on a circle with a pointlike singularity (or point interaction). We find that, within the U(2) family of the quantum mechanically allowed distinct singularities, a U(1) equivalence (of duality-type) exists, and accordingly the space of distinct spectra is U(1) x [SU(2)/U(1)], topologically a filled torus. We explore the relationship of special subfamilies of the U(2) family to corresponding symmetries, and identify the singularities that admit an N = 2 supersymmetry. Subfamilies that are distinguished in the spect","authors_text":"Izumi Tsutsui, Taksu Cheon, Tamas Fulop","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2003-07-01T06:56:41Z","title":"Spectral properties on a circle with a singularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0307002","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":"sha256:043e39818afab17c69cca444417ec1e8921de09b57f7e4d1433c8a431a2ada24","target":"record","created_at":"2026-07-04T16:42:32Z","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":"cbe14bfd8b2e90fcad13cf471c04e1329a2780006a27d73a68a0e9b85c7e524b","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"","primary_cat":"quant-ph","submitted_at":"2003-07-01T06:56:41Z","title_canon_sha256":"4f5602e0f834e0d8cb94c737f317831ff7973a2e795c322cfcabb17708172a79"},"schema_version":"1.0","source":{"id":"quant-ph/0307002","kind":"arxiv","version":2}},"canonical_sha256":"e6563d51def5d9ebca03bea41dd3096fca647cf1516cf3a2eabd5ac8c0016271","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6563d51def5d9ebca03bea41dd3096fca647cf1516cf3a2eabd5ac8c0016271","first_computed_at":"2026-07-04T16:42:32.926607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:42:32.926607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fo29vY2RIpIcGTVwKEQmORVUasAuCRh8Ke9QFqn1gC4ADqoAwbvMCdVZQF7aCNP2KfRlgTb8g8T25MMsxi31DQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:42:32.926989Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0307002","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:043e39818afab17c69cca444417ec1e8921de09b57f7e4d1433c8a431a2ada24","sha256:8d6b75888e088f6afab959b64b2526720a5fa417687ea7c65fdd1cf8042851aa"],"state_sha256":"c60114b9e2d378d7f2ba7a6ab11724d0c810b52875f1121391e1213cf6b0cdc4"}