{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MG4ZHA3G3J3SG7VWSVT2BGTGNH","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":"1f6b09401bb37d44bdbe377fed30b5aaddbcf582d721773f3aff5b9610b77f1e","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-18T14:21:15Z","title_canon_sha256":"db147f5f28bdc738b7f849db833c8971b2f213070330ec3f30239fd8c65ec714"},"schema_version":"1.0","source":{"id":"1302.4284","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4284","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4284v2","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4284","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"pith_short_12","alias_value":"MG4ZHA3G3J3S","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MG4ZHA3G3J3SG7VW","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MG4ZHA3G","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:ceb9b63243db212558304dd37b661743d0d5f76a14331bb4153a74d17b5aa9f0","target":"graph","created_at":"2026-05-18T03:21:08Z","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 consider a model of non-commutative Quantum Mechanics given by two harmonic oscillators over a non-commutative two dimensional configuration space. We study possible ways of removing the non-commutativity based on the classical limit context known as anti-Wick quantization. We show that removal of non-commutativity from the configuration space and from the canonical operators are not commuting operations.","authors_text":"Fabio Benatti, Laure Gouba","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-18T14:21:15Z","title":"Classical limits of quantum mechanics on a non-commutative configuration space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4284","kind":"arxiv","version":2},"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":"sha256:0f86b59096db2559fefdb4b4fab1a51c9507f552d9b2968844658fd87ec88e19","target":"record","created_at":"2026-05-18T03:21:08Z","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":"1f6b09401bb37d44bdbe377fed30b5aaddbcf582d721773f3aff5b9610b77f1e","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-18T14:21:15Z","title_canon_sha256":"db147f5f28bdc738b7f849db833c8971b2f213070330ec3f30239fd8c65ec714"},"schema_version":"1.0","source":{"id":"1302.4284","kind":"arxiv","version":2}},"canonical_sha256":"61b9938366da77237eb69567a09a6669eeef632b42d6b7316dc48179bd0b7375","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61b9938366da77237eb69567a09a6669eeef632b42d6b7316dc48179bd0b7375","first_computed_at":"2026-05-18T03:21:08.145178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:08.145178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ePjCvDcjsxdSYVIrY2n5XCsrev/mCbo//MFE3K+liteYLZeuYRTTFVWLYvctFRGzRi5IdhbjqPBWIZEgh8ZPCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:08.145743Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4284","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f86b59096db2559fefdb4b4fab1a51c9507f552d9b2968844658fd87ec88e19","sha256:ceb9b63243db212558304dd37b661743d0d5f76a14331bb4153a74d17b5aa9f0"],"state_sha256":"66e7ad08f1b6dc5d821e8ec5df4d1a272e0845c76ae5721ced172affe385cd73"}