{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:UGSTLWDUDIRLBHMAPR6XVODC4W","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":"71acff8ae50b58d04dbd50b2c633a981ab6fc7fa1a18f6f81579c93b7211009f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-11-12T19:15:56Z","title_canon_sha256":"67266b9ab71c1cd1f191a178cc2690a14cff66ce9e5d6c84940ca24d4a83d1b1"},"schema_version":"1.0","source":{"id":"hep-th/9611086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9611086","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9611086v1","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9611086","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"UGSTLWDUDIRL","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"UGSTLWDUDIRLBHMA","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"UGSTLWDU","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:b3029b9b8021d4e8e327e262c6c06b832e66141b9c560ffe996753ae278414d4","target":"graph","created_at":"2026-05-18T01:05:56Z","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"},"paper":{"abstract_excerpt":"Motivated by the concept of shape invariance in supersymmetric quantum mechanics, we obtain potentials whose spectrum consists of two shifted sets of equally spaced energy levels. These potentials are similar to the Calogero-Sutherland model except the singular term $\\alpha x^{-2}$ always falls in the transition region $-1/4 < \\alpha < 3/4$ and there is a delta-function singularity at x=0.","authors_text":"Asim Gangopadhyaya, Uday P. Sukhatme","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1996-11-12T19:15:56Z","title":"Potentials with Two Shifted Sets of Equally Spaced Eigenvalues and Their Calogero Spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9611086","kind":"arxiv","version":1},"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":"sha256:6a654cea19c17a3333b1ce4987d5e0e9e0fdac075ea7f244e7190d9e8de2b29d","target":"record","created_at":"2026-05-18T01:05:56Z","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":"71acff8ae50b58d04dbd50b2c633a981ab6fc7fa1a18f6f81579c93b7211009f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-11-12T19:15:56Z","title_canon_sha256":"67266b9ab71c1cd1f191a178cc2690a14cff66ce9e5d6c84940ca24d4a83d1b1"},"schema_version":"1.0","source":{"id":"hep-th/9611086","kind":"arxiv","version":1}},"canonical_sha256":"a1a535d8741a22b09d807c7d7ab862e59dc8d2be86acc6fa237a4770ced03bbd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1a535d8741a22b09d807c7d7ab862e59dc8d2be86acc6fa237a4770ced03bbd","first_computed_at":"2026-05-18T01:05:56.593328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:56.593328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UsFW+3uM2kVbum8KfZI/WoZQ71VIXNyhIeB3s5jF3Nl3yoUMhh/YswYNekEjL28xZc8Vo6Ez+WWr2+8CzIADDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:56.593823Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9611086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a654cea19c17a3333b1ce4987d5e0e9e0fdac075ea7f244e7190d9e8de2b29d","sha256:b3029b9b8021d4e8e327e262c6c06b832e66141b9c560ffe996753ae278414d4"],"state_sha256":"c37b4c47bcc49dc2014e287742dbb3e9ca8b510fa6aa699ef9e6a9d92f14a88d"}