{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:PFPDAHJZF35WMISJGSP7V3CURV","short_pith_number":"pith:PFPDAHJZ","schema_version":"1.0","canonical_sha256":"795e301d392efb662249349ffaec548d507bdaca502005482b3afdd5f0f8b9d0","source":{"kind":"arxiv","id":"2507.10947","version":1},"attestation_state":"computed","paper":{"title":"SU(1,1) coherent states for the Dunkl- Klein-Gordon equation in its canonical form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"J.A. Mart\\'inez-Nu\\~no, MR Cordero-L\\'opez, M.Salazar-Ram\\'irez","submitted_at":"2025-07-15T03:27:19Z","abstract_excerpt":"Using representation-theoretic techniques associated with the $\\mathfrak{su}(1,1)$ symmetry algebra, we construct Perelomov coherent states for the Dunkl-Klein-Gordon equation in its canonical form, which is free of first-order Dunkl derivatives. Our analysis is restricted to the even-parity sector and to the regime where the curvature constant $R$ is much smaller than the system's kinetic energy. The equation under consideration emerges from a matrix-operator framework based on Dirac gamma matrices and a universal length scale that encodes the curvature of space via the Dunkl operator, thereb"},"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":"2507.10947","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-15T03:27:19Z","cross_cats_sorted":[],"title_canon_sha256":"6d94f57e21492ee11df575675b5eaad84fbc97918fa4fa581ce656586e48c908","abstract_canon_sha256":"414308c8f549dec3246390284e9755ee2fe29af44b4c22c23d869bff3c3c7638"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:37:28.966832Z","signature_b64":"ATQzKlxW9ko1LWFj0ZOC0iTo+GTzga+ikUhkdeLQ0eRRhdCmuRlwhF+QaC+p8+k2hvr3gpkyT/m1av+BNYOpDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"795e301d392efb662249349ffaec548d507bdaca502005482b3afdd5f0f8b9d0","last_reissued_at":"2026-07-05T11:37:28.966310Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:37:28.966310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"SU(1,1) coherent states for the Dunkl- Klein-Gordon equation in its canonical form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"J.A. Mart\\'inez-Nu\\~no, MR Cordero-L\\'opez, M.Salazar-Ram\\'irez","submitted_at":"2025-07-15T03:27:19Z","abstract_excerpt":"Using representation-theoretic techniques associated with the $\\mathfrak{su}(1,1)$ symmetry algebra, we construct Perelomov coherent states for the Dunkl-Klein-Gordon equation in its canonical form, which is free of first-order Dunkl derivatives. Our analysis is restricted to the even-parity sector and to the regime where the curvature constant $R$ is much smaller than the system's kinetic energy. The equation under consideration emerges from a matrix-operator framework based on Dirac gamma matrices and a universal length scale that encodes the curvature of space via the Dunkl operator, thereb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.10947","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.10947/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2507.10947","created_at":"2026-07-05T11:37:28.966383+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.10947v1","created_at":"2026-07-05T11:37:28.966383+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.10947","created_at":"2026-07-05T11:37:28.966383+00:00"},{"alias_kind":"pith_short_12","alias_value":"PFPDAHJZF35W","created_at":"2026-07-05T11:37:28.966383+00:00"},{"alias_kind":"pith_short_16","alias_value":"PFPDAHJZF35WMISJ","created_at":"2026-07-05T11:37:28.966383+00:00"},{"alias_kind":"pith_short_8","alias_value":"PFPDAHJZ","created_at":"2026-07-05T11:37:28.966383+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/PFPDAHJZF35WMISJGSP7V3CURV","json":"https://pith.science/pith/PFPDAHJZF35WMISJGSP7V3CURV.json","graph_json":"https://pith.science/api/pith-number/PFPDAHJZF35WMISJGSP7V3CURV/graph.json","events_json":"https://pith.science/api/pith-number/PFPDAHJZF35WMISJGSP7V3CURV/events.json","paper":"https://pith.science/paper/PFPDAHJZ"},"agent_actions":{"view_html":"https://pith.science/pith/PFPDAHJZF35WMISJGSP7V3CURV","download_json":"https://pith.science/pith/PFPDAHJZF35WMISJGSP7V3CURV.json","view_paper":"https://pith.science/paper/PFPDAHJZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.10947&json=true","fetch_graph":"https://pith.science/api/pith-number/PFPDAHJZF35WMISJGSP7V3CURV/graph.json","fetch_events":"https://pith.science/api/pith-number/PFPDAHJZF35WMISJGSP7V3CURV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PFPDAHJZF35WMISJGSP7V3CURV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PFPDAHJZF35WMISJGSP7V3CURV/action/storage_attestation","attest_author":"https://pith.science/pith/PFPDAHJZF35WMISJGSP7V3CURV/action/author_attestation","sign_citation":"https://pith.science/pith/PFPDAHJZF35WMISJGSP7V3CURV/action/citation_signature","submit_replication":"https://pith.science/pith/PFPDAHJZF35WMISJGSP7V3CURV/action/replication_record"}},"created_at":"2026-07-05T11:37:28.966383+00:00","updated_at":"2026-07-05T11:37:28.966383+00:00"}