{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5NQ5DDVL3EYIZKA4SXN4I5NE4M","short_pith_number":"pith:5NQ5DDVL","canonical_record":{"source":{"id":"1407.0083","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-01T00:24:50Z","cross_cats_sorted":[],"title_canon_sha256":"293e1613c5ac450baef7474c7448fb9fbf9912062e9107ebac351f1aa13cffb7","abstract_canon_sha256":"578dca03af514c1b367cbc9206008a123b39b8a641e7f066331f1468bb943aea"},"schema_version":"1.0"},"canonical_sha256":"eb61d18eabd9308ca81c95dbc475a4e31eddd7f97e4fceb3892130661e62c3fe","source":{"kind":"arxiv","id":"1407.0083","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0083","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0083v2","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0083","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"pith_short_12","alias_value":"5NQ5DDVL3EYI","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5NQ5DDVL3EYIZKA4","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5NQ5DDVL","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5NQ5DDVL3EYIZKA4SXN4I5NE4M","target":"record","payload":{"canonical_record":{"source":{"id":"1407.0083","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-01T00:24:50Z","cross_cats_sorted":[],"title_canon_sha256":"293e1613c5ac450baef7474c7448fb9fbf9912062e9107ebac351f1aa13cffb7","abstract_canon_sha256":"578dca03af514c1b367cbc9206008a123b39b8a641e7f066331f1468bb943aea"},"schema_version":"1.0"},"canonical_sha256":"eb61d18eabd9308ca81c95dbc475a4e31eddd7f97e4fceb3892130661e62c3fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:40.203766Z","signature_b64":"F5kLIlVYUtotmh+0Y2W38L6Ze2ZVtaWGdzJ0cYnweGKUUWrYfJgcTNkkXDYwA/teghkTiwtROsLOeFQpFAuGDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb61d18eabd9308ca81c95dbc475a4e31eddd7f97e4fceb3892130661e62c3fe","last_reissued_at":"2026-05-18T02:30:40.203292Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:40.203292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.0083","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":"2026-05-18T02:30:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EVw6/SwO4x8GCku27SuWr+/OMp5ysgxwcuPF8B/ESsgK+D5Ck5qP+Iu1gILHYvbmW7fLUX5TvKZIanNxwOyDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:57:25.076785Z"},"content_sha256":"146e4a522848d160fe7761cf1106b3472521b63927ea6354e2cdbd615550f060","schema_version":"1.0","event_id":"sha256:146e4a522848d160fe7761cf1106b3472521b63927ea6354e2cdbd615550f060"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5NQ5DDVL3EYIZKA4SXN4I5NE4M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heisenberg Uncertainty Relation for Three Canonical Observables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Spiros Kechrimparis, Stefan Weigert","submitted_at":"2014-07-01T00:24:50Z","abstract_excerpt":"Uncertainty relations provide fundamental limits on what can be said about the properties of quantum systems. For a quantum particle, the commutation relation of position and momentum observables entails Heisenberg's uncertainty relation. A third observable is presented which satisfies canonical commutation relations with both position and momentum. The resulting triple of pairwise canonical observables gives rise to a Heisenberg-type uncertainty relation for the product of three standard deviations. We derive the smallest possible value of this bound and determine the specific squeezed state "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0083","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":"2026-05-18T02:30:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"je7+sHIBPu6b22Wk4N+1A92ZbY/xzi6BvpMnW+f+XW2gZKfUYxi2SCQ/UYo5gVRjhxD1jqNCcEBilW6zBJSSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:57:25.077136Z"},"content_sha256":"81faa8ed07361d742345ab8ca4fd1911a83085e8a5bb1e30918af4954281624f","schema_version":"1.0","event_id":"sha256:81faa8ed07361d742345ab8ca4fd1911a83085e8a5bb1e30918af4954281624f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5NQ5DDVL3EYIZKA4SXN4I5NE4M/bundle.json","state_url":"https://pith.science/pith/5NQ5DDVL3EYIZKA4SXN4I5NE4M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5NQ5DDVL3EYIZKA4SXN4I5NE4M/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":"2026-05-27T00:57:25Z","links":{"resolver":"https://pith.science/pith/5NQ5DDVL3EYIZKA4SXN4I5NE4M","bundle":"https://pith.science/pith/5NQ5DDVL3EYIZKA4SXN4I5NE4M/bundle.json","state":"https://pith.science/pith/5NQ5DDVL3EYIZKA4SXN4I5NE4M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5NQ5DDVL3EYIZKA4SXN4I5NE4M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5NQ5DDVL3EYIZKA4SXN4I5NE4M","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":"578dca03af514c1b367cbc9206008a123b39b8a641e7f066331f1468bb943aea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-01T00:24:50Z","title_canon_sha256":"293e1613c5ac450baef7474c7448fb9fbf9912062e9107ebac351f1aa13cffb7"},"schema_version":"1.0","source":{"id":"1407.0083","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0083","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0083v2","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0083","created_at":"2026-05-18T02:30:40Z"},{"alias_kind":"pith_short_12","alias_value":"5NQ5DDVL3EYI","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5NQ5DDVL3EYIZKA4","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5NQ5DDVL","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:81faa8ed07361d742345ab8ca4fd1911a83085e8a5bb1e30918af4954281624f","target":"graph","created_at":"2026-05-18T02:30:40Z","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":"Uncertainty relations provide fundamental limits on what can be said about the properties of quantum systems. For a quantum particle, the commutation relation of position and momentum observables entails Heisenberg's uncertainty relation. A third observable is presented which satisfies canonical commutation relations with both position and momentum. The resulting triple of pairwise canonical observables gives rise to a Heisenberg-type uncertainty relation for the product of three standard deviations. We derive the smallest possible value of this bound and determine the specific squeezed state ","authors_text":"Spiros Kechrimparis, Stefan Weigert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-01T00:24:50Z","title":"Heisenberg Uncertainty Relation for Three Canonical Observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0083","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":"sha256:146e4a522848d160fe7761cf1106b3472521b63927ea6354e2cdbd615550f060","target":"record","created_at":"2026-05-18T02:30:40Z","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":"578dca03af514c1b367cbc9206008a123b39b8a641e7f066331f1468bb943aea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-01T00:24:50Z","title_canon_sha256":"293e1613c5ac450baef7474c7448fb9fbf9912062e9107ebac351f1aa13cffb7"},"schema_version":"1.0","source":{"id":"1407.0083","kind":"arxiv","version":2}},"canonical_sha256":"eb61d18eabd9308ca81c95dbc475a4e31eddd7f97e4fceb3892130661e62c3fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb61d18eabd9308ca81c95dbc475a4e31eddd7f97e4fceb3892130661e62c3fe","first_computed_at":"2026-05-18T02:30:40.203292Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:40.203292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F5kLIlVYUtotmh+0Y2W38L6Ze2ZVtaWGdzJ0cYnweGKUUWrYfJgcTNkkXDYwA/teghkTiwtROsLOeFQpFAuGDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:40.203766Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.0083","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:146e4a522848d160fe7761cf1106b3472521b63927ea6354e2cdbd615550f060","sha256:81faa8ed07361d742345ab8ca4fd1911a83085e8a5bb1e30918af4954281624f"],"state_sha256":"67f77f4a1d5e0deed234d95c459100a32a9564f10939e64de29024d09dc7b458"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PSCz3JHjdouT9GZtKgxVLlPHxogcbMjrCuVg/Jibjyk8nkhPQ0FRCKXZEfNXdWufU84YJeHD2AMMeHZHDA7TBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:57:25.079652Z","bundle_sha256":"e833b81664749786edf5f7c8dd28aa20caa6bbbfbe73a7396ee9041f7b6bb945"}}