{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:EV3Q6EPFQWI56RETWUMZYL2PMT","short_pith_number":"pith:EV3Q6EPF","canonical_record":{"source":{"id":"1510.02841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-09T22:29:21Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"873e6491a51039b1ff4f54027629266adf72232fb28d705e1c6a6f6cf0df582a","abstract_canon_sha256":"de26c826771f50baf3be80f90d2532a77f2f1f55062552d906a31d57844d1c62"},"schema_version":"1.0"},"canonical_sha256":"25770f11e58591df4493b5199c2f4f64d39c58b2dcbabb60c25f80b075e337b8","source":{"kind":"arxiv","id":"1510.02841","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02841","created_at":"2026-05-18T01:21:15Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02841v1","created_at":"2026-05-18T01:21:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02841","created_at":"2026-05-18T01:21:15Z"},{"alias_kind":"pith_short_12","alias_value":"EV3Q6EPFQWI5","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EV3Q6EPFQWI56RET","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EV3Q6EPF","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:EV3Q6EPFQWI56RETWUMZYL2PMT","target":"record","payload":{"canonical_record":{"source":{"id":"1510.02841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-09T22:29:21Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"873e6491a51039b1ff4f54027629266adf72232fb28d705e1c6a6f6cf0df582a","abstract_canon_sha256":"de26c826771f50baf3be80f90d2532a77f2f1f55062552d906a31d57844d1c62"},"schema_version":"1.0"},"canonical_sha256":"25770f11e58591df4493b5199c2f4f64d39c58b2dcbabb60c25f80b075e337b8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:15.642678Z","signature_b64":"SZKv4fyr6XEU6GNAu/+o0qKgqP1RNjh6V23GeGMQ68TvDRnZEIX0HIVU0tTpkAtItOZDDjDhu0p+UHtItOlRBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25770f11e58591df4493b5199c2f4f64d39c58b2dcbabb60c25f80b075e337b8","last_reissued_at":"2026-05-18T01:21:15.641973Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:15.641973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.02841","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:21:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W7wyRwVdcU4/BkdKZhbJv31UXr/z3+zuYeo42r3k5UStJV4UofMoUL2DzgnK92Hm/M5BZxZVP15AsA4y2Ph1Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:47:18.357669Z"},"content_sha256":"a8f28f96579723a8b4d06f7591c9e4e1a482a662cd57cff8ea0cb50e8e26f6a2","schema_version":"1.0","event_id":"sha256:a8f28f96579723a8b4d06f7591c9e4e1a482a662cd57cff8ea0cb50e8e26f6a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:EV3Q6EPFQWI56RETWUMZYL2PMT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The number radial coherent states for the generalized MICZ-Kepler problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"D. Ojeda-Guill\\'en, M. Salazar-Ram\\'irez, R. D. Mota","submitted_at":"2015-10-09T22:29:21Z","abstract_excerpt":"We study the radial part of the MICZ-Kepler problem in an algebraic way by using the $su(1,1)$ Lie algebra. We obtain the energy spectrum and the eigenfunctions of this problem from the $su(1,1)$ theory of unitary representations and the tilting transformation to the stationary Schr\\\"odinger equation. We construct the physical Perelomov number coherent states for this problem and compute some expectation values. Also, we obtain the time evolution of these coherent states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02841","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:21:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s7l/cHGw4OKCwEKp1v7N7mcp0jEDiPNdFofPXgaPZlJsOb67fPdgHLLchVLXdnpLQJ0QrTUXHGi2ZdeOudBHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:47:18.358227Z"},"content_sha256":"b49d0f298bc470240dd0d83f535a7f4a700cb0052bbe7cd4a924a3b4425d1650","schema_version":"1.0","event_id":"sha256:b49d0f298bc470240dd0d83f535a7f4a700cb0052bbe7cd4a924a3b4425d1650"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EV3Q6EPFQWI56RETWUMZYL2PMT/bundle.json","state_url":"https://pith.science/pith/EV3Q6EPFQWI56RETWUMZYL2PMT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EV3Q6EPFQWI56RETWUMZYL2PMT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T14:47:18Z","links":{"resolver":"https://pith.science/pith/EV3Q6EPFQWI56RETWUMZYL2PMT","bundle":"https://pith.science/pith/EV3Q6EPFQWI56RETWUMZYL2PMT/bundle.json","state":"https://pith.science/pith/EV3Q6EPFQWI56RETWUMZYL2PMT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EV3Q6EPFQWI56RETWUMZYL2PMT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EV3Q6EPFQWI56RETWUMZYL2PMT","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":"de26c826771f50baf3be80f90d2532a77f2f1f55062552d906a31d57844d1c62","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-09T22:29:21Z","title_canon_sha256":"873e6491a51039b1ff4f54027629266adf72232fb28d705e1c6a6f6cf0df582a"},"schema_version":"1.0","source":{"id":"1510.02841","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02841","created_at":"2026-05-18T01:21:15Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02841v1","created_at":"2026-05-18T01:21:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02841","created_at":"2026-05-18T01:21:15Z"},{"alias_kind":"pith_short_12","alias_value":"EV3Q6EPFQWI5","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EV3Q6EPFQWI56RET","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EV3Q6EPF","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:b49d0f298bc470240dd0d83f535a7f4a700cb0052bbe7cd4a924a3b4425d1650","target":"graph","created_at":"2026-05-18T01:21:15Z","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":"We study the radial part of the MICZ-Kepler problem in an algebraic way by using the $su(1,1)$ Lie algebra. We obtain the energy spectrum and the eigenfunctions of this problem from the $su(1,1)$ theory of unitary representations and the tilting transformation to the stationary Schr\\\"odinger equation. We construct the physical Perelomov number coherent states for this problem and compute some expectation values. Also, we obtain the time evolution of these coherent states.","authors_text":"D. Ojeda-Guill\\'en, M. Salazar-Ram\\'irez, R. D. Mota","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-09T22:29:21Z","title":"The number radial coherent states for the generalized MICZ-Kepler problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02841","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:a8f28f96579723a8b4d06f7591c9e4e1a482a662cd57cff8ea0cb50e8e26f6a2","target":"record","created_at":"2026-05-18T01:21:15Z","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":"de26c826771f50baf3be80f90d2532a77f2f1f55062552d906a31d57844d1c62","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-09T22:29:21Z","title_canon_sha256":"873e6491a51039b1ff4f54027629266adf72232fb28d705e1c6a6f6cf0df582a"},"schema_version":"1.0","source":{"id":"1510.02841","kind":"arxiv","version":1}},"canonical_sha256":"25770f11e58591df4493b5199c2f4f64d39c58b2dcbabb60c25f80b075e337b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25770f11e58591df4493b5199c2f4f64d39c58b2dcbabb60c25f80b075e337b8","first_computed_at":"2026-05-18T01:21:15.641973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:15.641973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SZKv4fyr6XEU6GNAu/+o0qKgqP1RNjh6V23GeGMQ68TvDRnZEIX0HIVU0tTpkAtItOZDDjDhu0p+UHtItOlRBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:15.642678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02841","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8f28f96579723a8b4d06f7591c9e4e1a482a662cd57cff8ea0cb50e8e26f6a2","sha256:b49d0f298bc470240dd0d83f535a7f4a700cb0052bbe7cd4a924a3b4425d1650"],"state_sha256":"5c81dddaca41324e1900e62ea8699a7e0999c312a734f1d938603bde9c4af4c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VyADAms+usmYP+etMLPThLxOpI70RSOmhfr4Ef6DmGlpKOKbzhy7lJZkbhr98DNU3SwhdBwEXF/0930YhFjGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T14:47:18.362249Z","bundle_sha256":"b9a08a3c1018d0030e7e4eea7af5e3dba31199ec11b9912cc8e6874ad688d742"}}