{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:P3Y5F7FKRLKUWRLMAIVLOTRKGS","short_pith_number":"pith:P3Y5F7FK","schema_version":"1.0","canonical_sha256":"7ef1d2fcaa8ad54b456c022ab74e2a348207d74f7bae11846c666978764843a3","source":{"kind":"arxiv","id":"1106.0469","version":4},"attestation_state":"computed","paper":{"title":"A General formulation of the Moyal and Voros products and its physical interpretation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Domagoj Kovacevic, Laure Gouba, Stjepan Meljanac","submitted_at":"2011-06-02T16:52:45Z","abstract_excerpt":"A unifying perspective on the Moyal and Voros products and their physical meanings has been recently presented in the literature, where the Voros formulation admits a consistent physical interpretation. We define a star product $\\star$, in terms of an antisymmetric fixed matrix $\\Theta$, and an arbitrary symmetric matrix $\\Phi$, that is a generalization of the Moyal and the Voros products. We discuss the quantum mechanics and the physical meaning of the generalized star product."},"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":"1106.0469","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-06-02T16:52:45Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"3e07ec7e6c801251cebf9387403be02e3bc449f1b6f885be0dcbf37b9a84c150","abstract_canon_sha256":"a76e6ae716997b39ec2af70cd63605d89315a3288c16c1361852879c13b6406a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:09.245831Z","signature_b64":"84ZCgKjqukKu/vS9i6P8AkNvfpW4K9qka1e0SDDGHrd5W42uqmqHDjYHQSDIP5X2VyoVYmhLh+wZ0DjdVSDMBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ef1d2fcaa8ad54b456c022ab74e2a348207d74f7bae11846c666978764843a3","last_reissued_at":"2026-05-18T04:03:09.244887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:09.244887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A General formulation of the Moyal and Voros products and its physical interpretation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Domagoj Kovacevic, Laure Gouba, Stjepan Meljanac","submitted_at":"2011-06-02T16:52:45Z","abstract_excerpt":"A unifying perspective on the Moyal and Voros products and their physical meanings has been recently presented in the literature, where the Voros formulation admits a consistent physical interpretation. We define a star product $\\star$, in terms of an antisymmetric fixed matrix $\\Theta$, and an arbitrary symmetric matrix $\\Phi$, that is a generalization of the Moyal and the Voros products. We discuss the quantum mechanics and the physical meaning of the generalized star product."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.0469","kind":"arxiv","version":4},"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":"1106.0469","created_at":"2026-05-18T04:03:09.245024+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.0469v4","created_at":"2026-05-18T04:03:09.245024+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.0469","created_at":"2026-05-18T04:03:09.245024+00:00"},{"alias_kind":"pith_short_12","alias_value":"P3Y5F7FKRLKU","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"P3Y5F7FKRLKUWRLM","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"P3Y5F7FK","created_at":"2026-05-18T12:26:39.201973+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/P3Y5F7FKRLKUWRLMAIVLOTRKGS","json":"https://pith.science/pith/P3Y5F7FKRLKUWRLMAIVLOTRKGS.json","graph_json":"https://pith.science/api/pith-number/P3Y5F7FKRLKUWRLMAIVLOTRKGS/graph.json","events_json":"https://pith.science/api/pith-number/P3Y5F7FKRLKUWRLMAIVLOTRKGS/events.json","paper":"https://pith.science/paper/P3Y5F7FK"},"agent_actions":{"view_html":"https://pith.science/pith/P3Y5F7FKRLKUWRLMAIVLOTRKGS","download_json":"https://pith.science/pith/P3Y5F7FKRLKUWRLMAIVLOTRKGS.json","view_paper":"https://pith.science/paper/P3Y5F7FK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.0469&json=true","fetch_graph":"https://pith.science/api/pith-number/P3Y5F7FKRLKUWRLMAIVLOTRKGS/graph.json","fetch_events":"https://pith.science/api/pith-number/P3Y5F7FKRLKUWRLMAIVLOTRKGS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P3Y5F7FKRLKUWRLMAIVLOTRKGS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P3Y5F7FKRLKUWRLMAIVLOTRKGS/action/storage_attestation","attest_author":"https://pith.science/pith/P3Y5F7FKRLKUWRLMAIVLOTRKGS/action/author_attestation","sign_citation":"https://pith.science/pith/P3Y5F7FKRLKUWRLMAIVLOTRKGS/action/citation_signature","submit_replication":"https://pith.science/pith/P3Y5F7FKRLKUWRLMAIVLOTRKGS/action/replication_record"}},"created_at":"2026-05-18T04:03:09.245024+00:00","updated_at":"2026-05-18T04:03:09.245024+00:00"}