{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:5WERLOX7TZLZ4XMTFML6VMKT63","short_pith_number":"pith:5WERLOX7","canonical_record":{"source":{"id":"2108.11990","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-26T18:32:44Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c14ccaa055e77885fd93671bf4af5dbb680da7dc9a2e50a4bcc225fb887956c3","abstract_canon_sha256":"c3920989453aaec8aea14293fd8a4e3a420a0a53154335634caf0478b494f9e8"},"schema_version":"1.0"},"canonical_sha256":"ed8915baff9e579e5d932b17eab153f6ee27a418f60172f77ddef6bd0b8f04d2","source":{"kind":"arxiv","id":"2108.11990","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.11990","created_at":"2026-07-05T03:30:34Z"},{"alias_kind":"arxiv_version","alias_value":"2108.11990v2","created_at":"2026-07-05T03:30:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.11990","created_at":"2026-07-05T03:30:34Z"},{"alias_kind":"pith_short_12","alias_value":"5WERLOX7TZLZ","created_at":"2026-07-05T03:30:34Z"},{"alias_kind":"pith_short_16","alias_value":"5WERLOX7TZLZ4XMT","created_at":"2026-07-05T03:30:34Z"},{"alias_kind":"pith_short_8","alias_value":"5WERLOX7","created_at":"2026-07-05T03:30:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:5WERLOX7TZLZ4XMTFML6VMKT63","target":"record","payload":{"canonical_record":{"source":{"id":"2108.11990","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-26T18:32:44Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c14ccaa055e77885fd93671bf4af5dbb680da7dc9a2e50a4bcc225fb887956c3","abstract_canon_sha256":"c3920989453aaec8aea14293fd8a4e3a420a0a53154335634caf0478b494f9e8"},"schema_version":"1.0"},"canonical_sha256":"ed8915baff9e579e5d932b17eab153f6ee27a418f60172f77ddef6bd0b8f04d2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:30:34.466401Z","signature_b64":"j+6zokrhtdYzEBf6yZqNRgb/swORwH0Y1AvJS5kY2rtfDxUodeju5xividGUbfTfiKQTdHtQm+fBSX1uyi73AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed8915baff9e579e5d932b17eab153f6ee27a418f60172f77ddef6bd0b8f04d2","last_reissued_at":"2026-07-05T03:30:34.465891Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:30:34.465891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2108.11990","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":"2026-07-05T03:30:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ll3ObGrlL/YL5rEaIciJ/JgVl97KQghc+DI6Fm7fH3CWNao4Z6qehAIWbAlDbWeDv1vzT7sHtkaHoBW7WrWYAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:40:27.311002Z"},"content_sha256":"eb78668ccfd20221d8cbec387eec4fc65c64969d3b3236d8b67bd0f1ae0dc9ae","schema_version":"1.0","event_id":"sha256:eb78668ccfd20221d8cbec387eec4fc65c64969d3b3236d8b67bd0f1ae0dc9ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:5WERLOX7TZLZ4XMTFML6VMKT63","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fundamental Limit on Angular Measurements and Rotations from Quantum Mechanics and General Relativity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Stephen D.H. Hsu, Xavier Calmet","submitted_at":"2021-08-26T18:32:44Z","abstract_excerpt":"We show that the precision of an angular measurement or rotation (e.g., on the orientation of a qubit or spin state) is limited by fundamental constraints arising from quantum mechanics and general relativity (gravitational collapse). The limiting precision is $r^{-1}$ in Planck units, where $r$ is the physical extent of the (possibly macroscopic) device used to manipulate the spin state. This fundamental limitation means that spin states $S_1$ and $S_2$ cannot be experimentally distinguished from each other if they differ by a sufficiently small rotation. Experiments cannot exclude the possib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.11990","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2108.11990/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:30:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vpNJfEuERRxDWxR7qPI1CsVvI8O1DkuiSs9Kss68ah6vHUPmgHw9AJodLlLWIvIe8EdbUazk/bj64+B886A3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:40:27.312025Z"},"content_sha256":"73c75d9f1cad4ac331dbb54c8a87c1ff62f97d888b96bb5580850a808a52935e","schema_version":"1.0","event_id":"sha256:73c75d9f1cad4ac331dbb54c8a87c1ff62f97d888b96bb5580850a808a52935e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5WERLOX7TZLZ4XMTFML6VMKT63/bundle.json","state_url":"https://pith.science/pith/5WERLOX7TZLZ4XMTFML6VMKT63/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5WERLOX7TZLZ4XMTFML6VMKT63/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":"2026-08-12T15:40:27Z","links":{"resolver":"https://pith.science/pith/5WERLOX7TZLZ4XMTFML6VMKT63","bundle":"https://pith.science/pith/5WERLOX7TZLZ4XMTFML6VMKT63/bundle.json","state":"https://pith.science/pith/5WERLOX7TZLZ4XMTFML6VMKT63/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5WERLOX7TZLZ4XMTFML6VMKT63/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:5WERLOX7TZLZ4XMTFML6VMKT63","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":"c3920989453aaec8aea14293fd8a4e3a420a0a53154335634caf0478b494f9e8","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-26T18:32:44Z","title_canon_sha256":"c14ccaa055e77885fd93671bf4af5dbb680da7dc9a2e50a4bcc225fb887956c3"},"schema_version":"1.0","source":{"id":"2108.11990","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.11990","created_at":"2026-07-05T03:30:34Z"},{"alias_kind":"arxiv_version","alias_value":"2108.11990v2","created_at":"2026-07-05T03:30:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.11990","created_at":"2026-07-05T03:30:34Z"},{"alias_kind":"pith_short_12","alias_value":"5WERLOX7TZLZ","created_at":"2026-07-05T03:30:34Z"},{"alias_kind":"pith_short_16","alias_value":"5WERLOX7TZLZ4XMT","created_at":"2026-07-05T03:30:34Z"},{"alias_kind":"pith_short_8","alias_value":"5WERLOX7","created_at":"2026-07-05T03:30:34Z"}],"graph_snapshots":[{"event_id":"sha256:73c75d9f1cad4ac331dbb54c8a87c1ff62f97d888b96bb5580850a808a52935e","target":"graph","created_at":"2026-07-05T03:30:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2108.11990/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the precision of an angular measurement or rotation (e.g., on the orientation of a qubit or spin state) is limited by fundamental constraints arising from quantum mechanics and general relativity (gravitational collapse). The limiting precision is $r^{-1}$ in Planck units, where $r$ is the physical extent of the (possibly macroscopic) device used to manipulate the spin state. This fundamental limitation means that spin states $S_1$ and $S_2$ cannot be experimentally distinguished from each other if they differ by a sufficiently small rotation. Experiments cannot exclude the possib","authors_text":"Stephen D.H. Hsu, Xavier Calmet","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-26T18:32:44Z","title":"Fundamental Limit on Angular Measurements and Rotations from Quantum Mechanics and General Relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.11990","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:eb78668ccfd20221d8cbec387eec4fc65c64969d3b3236d8b67bd0f1ae0dc9ae","target":"record","created_at":"2026-07-05T03:30:34Z","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":"c3920989453aaec8aea14293fd8a4e3a420a0a53154335634caf0478b494f9e8","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-26T18:32:44Z","title_canon_sha256":"c14ccaa055e77885fd93671bf4af5dbb680da7dc9a2e50a4bcc225fb887956c3"},"schema_version":"1.0","source":{"id":"2108.11990","kind":"arxiv","version":2}},"canonical_sha256":"ed8915baff9e579e5d932b17eab153f6ee27a418f60172f77ddef6bd0b8f04d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed8915baff9e579e5d932b17eab153f6ee27a418f60172f77ddef6bd0b8f04d2","first_computed_at":"2026-07-05T03:30:34.465891Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:30:34.465891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j+6zokrhtdYzEBf6yZqNRgb/swORwH0Y1AvJS5kY2rtfDxUodeju5xividGUbfTfiKQTdHtQm+fBSX1uyi73AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:30:34.466401Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.11990","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb78668ccfd20221d8cbec387eec4fc65c64969d3b3236d8b67bd0f1ae0dc9ae","sha256:73c75d9f1cad4ac331dbb54c8a87c1ff62f97d888b96bb5580850a808a52935e"],"state_sha256":"7a8ef61d6e6ac1fd7492b1023c47bc06269168d36bbf424119137e1be002e96e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B2xaQfqV1zDovrqYAAVW9qweQER6eUHMeVYOovpebv8VH1k9db7SytqkBP2korBX8XhA6upKBsGnuUJluOQIAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T15:40:27.318057Z","bundle_sha256":"ddffa40e9fa37d5bd19fdba78d9b2c6a0dd49377ccd022f0da744330ad5339f9"}}