{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JQ4FQS7NC5CDY3UR6YIFZG4QYW","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":"ecbf026939b5e23948e2763e82c6f515a00ca9705199eeabb0189b87af515f8f","cross_cats_sorted":["math.MP","nlin.SI","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-05T12:41:07Z","title_canon_sha256":"20d02cafc92f2ee786f5c98cf259ff2c3f602b7492eead911e31f5d6e198d32a"},"schema_version":"1.0","source":{"id":"1407.1401","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1401","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1401v1","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1401","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"pith_short_12","alias_value":"JQ4FQS7NC5CD","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JQ4FQS7NC5CDY3UR","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JQ4FQS7N","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:9f7b3829b5ffe89f1107a90dce8dbda6ce248e7ff3a5809ba2d8ef52290efdf9","target":"graph","created_at":"2026-05-18T02:41:03Z","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":"In this paper we quantize the $N$-dimensional classical Hamiltonian system $H= \\frac{|q|}{2(\\eta + |q|)} p^2-\\frac{k}{\\eta +|q|}$, that can be regarded as a deformation of the Coulomb problem with coupling constant $k$, that it is smoothly recovered in the limit $\\eta\\to 0$. Moreover, the kinetic energy term in $H$ is just the one corresponding to an $N$-dimensional Taub-NUT space, a fact that makes this system relevant from a geometric viewpoint. Since the Hamiltonian $H$ is known to be maximally superintegrable, we propose a quantization prescription that preserves such superintegrability in","authors_text":"Alberto Enciso, Angel Ballesteros, Danilo Riglioni, Francisco J. Herranz, Orlando Ragnisco","cross_cats":["math.MP","nlin.SI","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-05T12:41:07Z","title":"An exactly solvable deformation of the Coulomb problem associated with the Taub-NUT metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1401","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:c4a03227186817c1493dd32e230fb6e2fb805c059430e8bad0f7bba9b288a027","target":"record","created_at":"2026-05-18T02:41:03Z","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":"ecbf026939b5e23948e2763e82c6f515a00ca9705199eeabb0189b87af515f8f","cross_cats_sorted":["math.MP","nlin.SI","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-05T12:41:07Z","title_canon_sha256":"20d02cafc92f2ee786f5c98cf259ff2c3f602b7492eead911e31f5d6e198d32a"},"schema_version":"1.0","source":{"id":"1407.1401","kind":"arxiv","version":1}},"canonical_sha256":"4c38584bed17443c6e91f6105c9b90c59712240cd7f3dfc9102434e1eb4e1a46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c38584bed17443c6e91f6105c9b90c59712240cd7f3dfc9102434e1eb4e1a46","first_computed_at":"2026-05-18T02:41:03.405133Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:03.405133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nvgQKDHX9sdTBYcKQZTvBXgiAPEki4Xx0O0QS+HWG+FhI0OkfjICjruLQ2rp2VEWaZVfew4mzvKmin4CXTm0Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:03.405564Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.1401","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4a03227186817c1493dd32e230fb6e2fb805c059430e8bad0f7bba9b288a027","sha256:9f7b3829b5ffe89f1107a90dce8dbda6ce248e7ff3a5809ba2d8ef52290efdf9"],"state_sha256":"79d21a66bb86cc9f82aa04df80737bb6bc1c5626d330ece80152fdba21336727"}