{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7MVXMAYQBO7ZTSGQRNJNA74YCM","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":"616bb6b1c0c2ffb5caa3a455da1831a3b4aa9397047befe3e6028dd6d8342d9f","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-01-19T13:09:43Z","title_canon_sha256":"477810e0677a172193d739ce1b29972060fcc4bd497afd1e492c194abe3bb082"},"schema_version":"1.0","source":{"id":"2601.13028","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.13028","created_at":"2026-06-19T16:11:19Z"},{"alias_kind":"arxiv_version","alias_value":"2601.13028v2","created_at":"2026-06-19T16:11:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.13028","created_at":"2026-06-19T16:11:19Z"},{"alias_kind":"pith_short_12","alias_value":"7MVXMAYQBO7Z","created_at":"2026-06-19T16:11:19Z"},{"alias_kind":"pith_short_16","alias_value":"7MVXMAYQBO7ZTSGQ","created_at":"2026-06-19T16:11:19Z"},{"alias_kind":"pith_short_8","alias_value":"7MVXMAYQ","created_at":"2026-06-19T16:11:19Z"}],"graph_snapshots":[{"event_id":"sha256:6bcdc1f5d00e59d3492e1c49863965bbe0e7f22ad1f0622aeef6a6936b66e19f","target":"graph","created_at":"2026-06-19T16:11:19Z","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/2601.13028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose analogs of the generalized MICZ-Kepler system on the three-dimensional sphere and the two-sheet hyperboloid. We construct their energy spectra and normalized wave functions and find that they depend on two quantum numbers, which suggests that the systems are minimally superintegrable.","authors_text":"Armen Nersessian, Levon Mardoyan","cross_cats":["math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-01-19T13:09:43Z","title":"Generalized MICZ-Kepler systems on three-dimensional sphere and hyperboloid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.13028","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":"sha256:7986b83348d7aae7f2479ebf7f8e8fcd272df7c9877909b5afaf89559930ff5e","target":"record","created_at":"2026-06-19T16:11:19Z","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":"616bb6b1c0c2ffb5caa3a455da1831a3b4aa9397047befe3e6028dd6d8342d9f","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-01-19T13:09:43Z","title_canon_sha256":"477810e0677a172193d739ce1b29972060fcc4bd497afd1e492c194abe3bb082"},"schema_version":"1.0","source":{"id":"2601.13028","kind":"arxiv","version":2}},"canonical_sha256":"fb2b7603100bbf99c8d08b52d07f981329598c08dafebe21ca8ec9d738683412","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb2b7603100bbf99c8d08b52d07f981329598c08dafebe21ca8ec9d738683412","first_computed_at":"2026-06-19T16:11:19.344263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:11:19.344263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HvACdqFSCyzoLtJT9Poa5ewbWYtMuXRF4qaQSC0M3dqb3YKxipGwfM1OXjSxX6teq8OnMnCSDuDV+XgcPCWWBQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:11:19.344696Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.13028","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7986b83348d7aae7f2479ebf7f8e8fcd272df7c9877909b5afaf89559930ff5e","sha256:6bcdc1f5d00e59d3492e1c49863965bbe0e7f22ad1f0622aeef6a6936b66e19f"],"state_sha256":"769520610c033efede05dd8d5b3abd69ec35a6f6fa4425b8e89b4bd40cefb3b2"}