{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:TKXV6BTILD4OH6ZUDYE65WH7F2","short_pith_number":"pith:TKXV6BTI","schema_version":"1.0","canonical_sha256":"9aaf5f066858f8e3fb341e09eed8ff2eb11dfe8638ef59f6490f85ba262212ba","source":{"kind":"arxiv","id":"1803.01318","version":1},"attestation_state":"computed","paper":{"title":"Coherent states for ladder operators of general order related to exceptional orthogonal polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Ian Marquette, Scott E. Hoffmann, V\\'eronique Hussin, Yao-Zhong Zhang","submitted_at":"2018-03-04T08:39:40Z","abstract_excerpt":"We construct the coherent states of general order, $m$ for the ladder operators, $c(m)$ and $c^\\dagger(m)$, which act on rational deformations of the harmonic oscillator. The position wavefunctions of the eigenvectors involve type III Hermite exceptional orthogonal polynomials. We plot energy expectations, time-dependent position probability densities for the coherent states and for the even and odd cat states, Wigner functions, and Heisenberg uncertainty relations. We find generally non-classical behaviour, with one exception: there is a regime of large magnitude of the coherent state paramet"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1803.01318","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-03-04T08:39:40Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"c8ee77bcef6909a98e47276da54c672edeeff8669019eee21b00fe64281e911f","abstract_canon_sha256":"670962c09375a1731f5c6c63666e1c02474998e73b6bed3271c8cda6a38909d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:55.829592Z","signature_b64":"XniSWkeB8uMc6rfudYqaNH2caR6GwCebSqY43I1Yv8NMcYtchSTRAu0zeQGcDCIBxPl7Sf4qyJFzYFASKiv2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9aaf5f066858f8e3fb341e09eed8ff2eb11dfe8638ef59f6490f85ba262212ba","last_reissued_at":"2026-05-17T23:53:55.828961Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:55.828961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coherent states for ladder operators of general order related to exceptional orthogonal polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Ian Marquette, Scott E. Hoffmann, V\\'eronique Hussin, Yao-Zhong Zhang","submitted_at":"2018-03-04T08:39:40Z","abstract_excerpt":"We construct the coherent states of general order, $m$ for the ladder operators, $c(m)$ and $c^\\dagger(m)$, which act on rational deformations of the harmonic oscillator. The position wavefunctions of the eigenvectors involve type III Hermite exceptional orthogonal polynomials. We plot energy expectations, time-dependent position probability densities for the coherent states and for the even and odd cat states, Wigner functions, and Heisenberg uncertainty relations. We find generally non-classical behaviour, with one exception: there is a regime of large magnitude of the coherent state paramet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01318","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1803.01318","created_at":"2026-05-17T23:53:55.829050+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.01318v1","created_at":"2026-05-17T23:53:55.829050+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01318","created_at":"2026-05-17T23:53:55.829050+00:00"},{"alias_kind":"pith_short_12","alias_value":"TKXV6BTILD4O","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"TKXV6BTILD4OH6ZU","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"TKXV6BTI","created_at":"2026-05-18T12:32:53.628368+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TKXV6BTILD4OH6ZUDYE65WH7F2","json":"https://pith.science/pith/TKXV6BTILD4OH6ZUDYE65WH7F2.json","graph_json":"https://pith.science/api/pith-number/TKXV6BTILD4OH6ZUDYE65WH7F2/graph.json","events_json":"https://pith.science/api/pith-number/TKXV6BTILD4OH6ZUDYE65WH7F2/events.json","paper":"https://pith.science/paper/TKXV6BTI"},"agent_actions":{"view_html":"https://pith.science/pith/TKXV6BTILD4OH6ZUDYE65WH7F2","download_json":"https://pith.science/pith/TKXV6BTILD4OH6ZUDYE65WH7F2.json","view_paper":"https://pith.science/paper/TKXV6BTI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.01318&json=true","fetch_graph":"https://pith.science/api/pith-number/TKXV6BTILD4OH6ZUDYE65WH7F2/graph.json","fetch_events":"https://pith.science/api/pith-number/TKXV6BTILD4OH6ZUDYE65WH7F2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TKXV6BTILD4OH6ZUDYE65WH7F2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TKXV6BTILD4OH6ZUDYE65WH7F2/action/storage_attestation","attest_author":"https://pith.science/pith/TKXV6BTILD4OH6ZUDYE65WH7F2/action/author_attestation","sign_citation":"https://pith.science/pith/TKXV6BTILD4OH6ZUDYE65WH7F2/action/citation_signature","submit_replication":"https://pith.science/pith/TKXV6BTILD4OH6ZUDYE65WH7F2/action/replication_record"}},"created_at":"2026-05-17T23:53:55.829050+00:00","updated_at":"2026-05-17T23:53:55.829050+00:00"}