{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:7SABPPVOYBO2FTDRY4HLODKGBC","short_pith_number":"pith:7SABPPVO","schema_version":"1.0","canonical_sha256":"fc8017beaec05da2cc71c70eb70d4608a114a9f93e9acf2519e094dc2be2f1a3","source":{"kind":"arxiv","id":"1702.05615","version":1},"attestation_state":"computed","paper":{"title":"Wigner functions for angle and orbital angular momentum: Operators and dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","physics.atom-ph"],"primary_cat":"quant-ph","authors_text":"H. A. Kastrup","submitted_at":"2017-02-18T13:50:56Z","abstract_excerpt":"Recently a paper on the construction of consistent Wigner functions for cylindrical phase spaces S^1 x R, i.e. for the canonical pair angle and angular momentum, was presented (arXiv:1601.02520), main properties of those functions derived, discussed and their usefulness illustrated by examples. The present paper is a continuation which compares properties of the new Wigner functions for cylindrical phase spaces with those of the well-known Wigner functions on planar ones in more detail. Furthermore, the mutual (Weyl) correspondence between Hilbert space operators and their phase space function"},"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":"1702.05615","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2017-02-18T13:50:56Z","cross_cats_sorted":["math-ph","math.MP","physics.atom-ph"],"title_canon_sha256":"eb09e10c002f8573ca34731af8b3a84ad5cc7e680aa07927fa75b0487636f6fa","abstract_canon_sha256":"a6e903aaa4b225c648a6bf12c30ee9c1acd2c9a5b60923bd251a4cddda1bf34f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:15.550192Z","signature_b64":"nt9xhiH/V3fQ8FQbIwbjxQxddiH7nuuqoRjRLjNY3en7iJKsXveDBPe4DnIsAmRSc3yDJo7EarVLCyYj1uxuCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc8017beaec05da2cc71c70eb70d4608a114a9f93e9acf2519e094dc2be2f1a3","last_reissued_at":"2026-05-18T00:44:15.549546Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:15.549546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wigner functions for angle and orbital angular momentum: Operators and dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","physics.atom-ph"],"primary_cat":"quant-ph","authors_text":"H. A. Kastrup","submitted_at":"2017-02-18T13:50:56Z","abstract_excerpt":"Recently a paper on the construction of consistent Wigner functions for cylindrical phase spaces S^1 x R, i.e. for the canonical pair angle and angular momentum, was presented (arXiv:1601.02520), main properties of those functions derived, discussed and their usefulness illustrated by examples. The present paper is a continuation which compares properties of the new Wigner functions for cylindrical phase spaces with those of the well-known Wigner functions on planar ones in more detail. Furthermore, the mutual (Weyl) correspondence between Hilbert space operators and their phase space function"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05615","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":"1702.05615","created_at":"2026-05-18T00:44:15.549645+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.05615v1","created_at":"2026-05-18T00:44:15.549645+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05615","created_at":"2026-05-18T00:44:15.549645+00:00"},{"alias_kind":"pith_short_12","alias_value":"7SABPPVOYBO2","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"7SABPPVOYBO2FTDR","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"7SABPPVO","created_at":"2026-05-18T12:31:05.417338+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/7SABPPVOYBO2FTDRY4HLODKGBC","json":"https://pith.science/pith/7SABPPVOYBO2FTDRY4HLODKGBC.json","graph_json":"https://pith.science/api/pith-number/7SABPPVOYBO2FTDRY4HLODKGBC/graph.json","events_json":"https://pith.science/api/pith-number/7SABPPVOYBO2FTDRY4HLODKGBC/events.json","paper":"https://pith.science/paper/7SABPPVO"},"agent_actions":{"view_html":"https://pith.science/pith/7SABPPVOYBO2FTDRY4HLODKGBC","download_json":"https://pith.science/pith/7SABPPVOYBO2FTDRY4HLODKGBC.json","view_paper":"https://pith.science/paper/7SABPPVO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.05615&json=true","fetch_graph":"https://pith.science/api/pith-number/7SABPPVOYBO2FTDRY4HLODKGBC/graph.json","fetch_events":"https://pith.science/api/pith-number/7SABPPVOYBO2FTDRY4HLODKGBC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7SABPPVOYBO2FTDRY4HLODKGBC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7SABPPVOYBO2FTDRY4HLODKGBC/action/storage_attestation","attest_author":"https://pith.science/pith/7SABPPVOYBO2FTDRY4HLODKGBC/action/author_attestation","sign_citation":"https://pith.science/pith/7SABPPVOYBO2FTDRY4HLODKGBC/action/citation_signature","submit_replication":"https://pith.science/pith/7SABPPVOYBO2FTDRY4HLODKGBC/action/replication_record"}},"created_at":"2026-05-18T00:44:15.549645+00:00","updated_at":"2026-05-18T00:44:15.549645+00:00"}