{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MG4ZHA3G3J3SG7VWSVT2BGTGNH","short_pith_number":"pith:MG4ZHA3G","canonical_record":{"source":{"id":"1302.4284","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-18T14:21:15Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"db147f5f28bdc738b7f849db833c8971b2f213070330ec3f30239fd8c65ec714","abstract_canon_sha256":"1f6b09401bb37d44bdbe377fed30b5aaddbcf582d721773f3aff5b9610b77f1e"},"schema_version":"1.0"},"canonical_sha256":"61b9938366da77237eb69567a09a6669eeef632b42d6b7316dc48179bd0b7375","source":{"kind":"arxiv","id":"1302.4284","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MG4ZHA3G3J3SG7VWSVT2BGTGNH","target":"record","payload":{"canonical_record":{"source":{"id":"1302.4284","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-18T14:21:15Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"db147f5f28bdc738b7f849db833c8971b2f213070330ec3f30239fd8c65ec714","abstract_canon_sha256":"1f6b09401bb37d44bdbe377fed30b5aaddbcf582d721773f3aff5b9610b77f1e"},"schema_version":"1.0"},"canonical_sha256":"61b9938366da77237eb69567a09a6669eeef632b42d6b7316dc48179bd0b7375","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:08.145743Z","signature_b64":"ePjCvDcjsxdSYVIrY2n5XCsrev/mCbo//MFE3K+liteYLZeuYRTTFVWLYvctFRGzRi5IdhbjqPBWIZEgh8ZPCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61b9938366da77237eb69567a09a6669eeef632b42d6b7316dc48179bd0b7375","last_reissued_at":"2026-05-18T03:21:08.145178Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:08.145178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.4284","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:21:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oEthbzzK3Wh5S4Qsa58vFkX+nWIIsGG0WeLsur7hxBvcRlr31ms7LrV5uA4Yi/1+4l4a/9Ugc2B9wzJQVhZDAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:36:24.297007Z"},"content_sha256":"0f86b59096db2559fefdb4b4fab1a51c9507f552d9b2968844658fd87ec88e19","schema_version":"1.0","event_id":"sha256:0f86b59096db2559fefdb4b4fab1a51c9507f552d9b2968844658fd87ec88e19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MG4ZHA3G3J3SG7VWSVT2BGTGNH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical limits of quantum mechanics on a non-commutative configuration space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Fabio Benatti, Laure Gouba","submitted_at":"2013-02-18T14:21:15Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4284","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:21:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lwpov2AzMJrrJ7OBnwizNDkg8WD8+8tvWmTgKJl53Wcrx7mo0pOwWFPV4t7ayxzic2HVFSx3ot2vkxJEP6aYAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:36:24.297376Z"},"content_sha256":"ceb9b63243db212558304dd37b661743d0d5f76a14331bb4153a74d17b5aa9f0","schema_version":"1.0","event_id":"sha256:ceb9b63243db212558304dd37b661743d0d5f76a14331bb4153a74d17b5aa9f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MG4ZHA3G3J3SG7VWSVT2BGTGNH/bundle.json","state_url":"https://pith.science/pith/MG4ZHA3G3J3SG7VWSVT2BGTGNH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MG4ZHA3G3J3SG7VWSVT2BGTGNH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T07:36:24Z","links":{"resolver":"https://pith.science/pith/MG4ZHA3G3J3SG7VWSVT2BGTGNH","bundle":"https://pith.science/pith/MG4ZHA3G3J3SG7VWSVT2BGTGNH/bundle.json","state":"https://pith.science/pith/MG4ZHA3G3J3SG7VWSVT2BGTGNH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MG4ZHA3G3J3SG7VWSVT2BGTGNH/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CYk2f/+A36nq402K258hzZeczJI3oPQ2iF7UNR88Jk10q1H07W4dzt12XE6BIIT+ktkwPmdarVrTc6E0MwShCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T07:36:24.299350Z","bundle_sha256":"74ba7fea4107c638d4c1b6ec295dba9bae532a79c139c23588294a37843a085b"}}