{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SMZLSY2GY5BQXLXDKWECGL5TV4","short_pith_number":"pith:SMZLSY2G","canonical_record":{"source":{"id":"1603.01830","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-06T13:52:52Z","cross_cats_sorted":[],"title_canon_sha256":"d3c702b333e1794a932aa3d48d850412abcb1fb55e4054ca2b0b2d6d9a5b362d","abstract_canon_sha256":"7000133b83c3b140619ef0087616169ec63175132914b89b3a730c77af709613"},"schema_version":"1.0"},"canonical_sha256":"9332b96346c7430baee35588232fb3af02f5828baef8dd3b37d32310efe4011b","source":{"kind":"arxiv","id":"1603.01830","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01830","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01830v4","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01830","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"pith_short_12","alias_value":"SMZLSY2GY5BQ","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SMZLSY2GY5BQXLXD","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SMZLSY2G","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SMZLSY2GY5BQXLXDKWECGL5TV4","target":"record","payload":{"canonical_record":{"source":{"id":"1603.01830","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-06T13:52:52Z","cross_cats_sorted":[],"title_canon_sha256":"d3c702b333e1794a932aa3d48d850412abcb1fb55e4054ca2b0b2d6d9a5b362d","abstract_canon_sha256":"7000133b83c3b140619ef0087616169ec63175132914b89b3a730c77af709613"},"schema_version":"1.0"},"canonical_sha256":"9332b96346c7430baee35588232fb3af02f5828baef8dd3b37d32310efe4011b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:37.485893Z","signature_b64":"nqwzqSGkY/LdgwDfVZLLleWpjE6sshepFakX1yqmOFAMdOm0/fa4kcTnzEM3mTyJssR8X/guPMrVkXa6eOKqDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9332b96346c7430baee35588232fb3af02f5828baef8dd3b37d32310efe4011b","last_reissued_at":"2026-05-18T00:51:37.485246Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:37.485246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.01830","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1M9jCWpl0qYTfNyLD2oiCNm747lzgYgSDZNG0qurnTo4kJnwctCGRW9KMC3kjCzZFfnw4sWIDpOMHZFGiQ3BBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T12:37:25.728681Z"},"content_sha256":"2af10392e7e5f901f9f24158e925de029c7b87c03996a87f9094c6e806f7a244","schema_version":"1.0","event_id":"sha256:2af10392e7e5f901f9f24158e925de029c7b87c03996a87f9094c6e806f7a244"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SMZLSY2GY5BQXLXDKWECGL5TV4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Position-Momentum Uncertainty Relation for an Open Macroscopic Quantum System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Afshin Shafiee, Hamid Reza Naeij","submitted_at":"2016-03-06T13:52:52Z","abstract_excerpt":"In this study, we explore the validity of the original Heisenberg position- momentum uncertainty relation for a macroscopic harmonic oscillator interacting with environmental micro particles. Our results show that, in the quasi-classical situation, the original uncertainty relation does not hold when the number of particles in the environment is small. Nonetheless, increasing the environmental degrees of freedom resolves the violation in the region of our investigation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01830","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hq3lKmWD4qeUuY0WxTKwO23h8SzPCUFcPwqueTVPzPHlqxhn6BBaO9CydPHoLLMuSQ+1KN2LZqFdXVdIoPrwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T12:37:25.729212Z"},"content_sha256":"c54c32fd22a129c356566841bc3479ee892ce5b965344e17d8fe615343a7255f","schema_version":"1.0","event_id":"sha256:c54c32fd22a129c356566841bc3479ee892ce5b965344e17d8fe615343a7255f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SMZLSY2GY5BQXLXDKWECGL5TV4/bundle.json","state_url":"https://pith.science/pith/SMZLSY2GY5BQXLXDKWECGL5TV4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SMZLSY2GY5BQXLXDKWECGL5TV4/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":"2026-05-24T12:37:25Z","links":{"resolver":"https://pith.science/pith/SMZLSY2GY5BQXLXDKWECGL5TV4","bundle":"https://pith.science/pith/SMZLSY2GY5BQXLXDKWECGL5TV4/bundle.json","state":"https://pith.science/pith/SMZLSY2GY5BQXLXDKWECGL5TV4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SMZLSY2GY5BQXLXDKWECGL5TV4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SMZLSY2GY5BQXLXDKWECGL5TV4","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":"7000133b83c3b140619ef0087616169ec63175132914b89b3a730c77af709613","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-06T13:52:52Z","title_canon_sha256":"d3c702b333e1794a932aa3d48d850412abcb1fb55e4054ca2b0b2d6d9a5b362d"},"schema_version":"1.0","source":{"id":"1603.01830","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01830","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01830v4","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01830","created_at":"2026-05-18T00:51:37Z"},{"alias_kind":"pith_short_12","alias_value":"SMZLSY2GY5BQ","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SMZLSY2GY5BQXLXD","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SMZLSY2G","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:c54c32fd22a129c356566841bc3479ee892ce5b965344e17d8fe615343a7255f","target":"graph","created_at":"2026-05-18T00:51:37Z","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":"In this study, we explore the validity of the original Heisenberg position- momentum uncertainty relation for a macroscopic harmonic oscillator interacting with environmental micro particles. Our results show that, in the quasi-classical situation, the original uncertainty relation does not hold when the number of particles in the environment is small. Nonetheless, increasing the environmental degrees of freedom resolves the violation in the region of our investigation.","authors_text":"Afshin Shafiee, Hamid Reza Naeij","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-06T13:52:52Z","title":"Position-Momentum Uncertainty Relation for an Open Macroscopic Quantum System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01830","kind":"arxiv","version":4},"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":"sha256:2af10392e7e5f901f9f24158e925de029c7b87c03996a87f9094c6e806f7a244","target":"record","created_at":"2026-05-18T00:51:37Z","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":"7000133b83c3b140619ef0087616169ec63175132914b89b3a730c77af709613","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-06T13:52:52Z","title_canon_sha256":"d3c702b333e1794a932aa3d48d850412abcb1fb55e4054ca2b0b2d6d9a5b362d"},"schema_version":"1.0","source":{"id":"1603.01830","kind":"arxiv","version":4}},"canonical_sha256":"9332b96346c7430baee35588232fb3af02f5828baef8dd3b37d32310efe4011b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9332b96346c7430baee35588232fb3af02f5828baef8dd3b37d32310efe4011b","first_computed_at":"2026-05-18T00:51:37.485246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:37.485246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nqwzqSGkY/LdgwDfVZLLleWpjE6sshepFakX1yqmOFAMdOm0/fa4kcTnzEM3mTyJssR8X/guPMrVkXa6eOKqDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:37.485893Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.01830","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2af10392e7e5f901f9f24158e925de029c7b87c03996a87f9094c6e806f7a244","sha256:c54c32fd22a129c356566841bc3479ee892ce5b965344e17d8fe615343a7255f"],"state_sha256":"515a0e60e4013f4147ffc2efc3451336f3af204fa96fd36837a6aee6f7a00ff5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wtoa0RUh5z99z/YmyXgRT2GBPZFhMY1igJtDa90jw6S9ySsaEKp/nsMtMPx1cpl1sHc8z3zqtfV1ZGR/JU35BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T12:37:25.732864Z","bundle_sha256":"36d8d8b83a1ae3d05353675e053e4414b59c71d4ad5511dbdebbab77b315ca98"}}