{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:23NMMFOMKXO3KHSXNPBKZS7FAJ","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":"64b4ee7d0cb191d1eb0639b88dd3a3db053072b7fd0adbf4edbb0f1f0e6051ca","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-01T13:50:50Z","title_canon_sha256":"3f3dc559e41a32e73ca4eb73ef25bd5274d51ffcd4cde4a064d3ae09c186659e"},"schema_version":"1.0","source":{"id":"1207.0207","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0207","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0207v1","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0207","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"23NMMFOMKXO3","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"23NMMFOMKXO3KHSX","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"23NMMFOM","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:85232b26769a5d5d7e17ea07335c12f1248eeafe82a5052cc99410bdf4330dea","target":"graph","created_at":"2026-05-18T01:18:34Z","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"},"paper":{"abstract_excerpt":"We critically discuss the measure of very short time intervals. By means of a \"gedankenexperiment\", we describe an ideal clock based on the occurrence of completely random events. We show that the minimum time interval Delta t that this clock can measure scales as the inverse of its size Delta r. This implies an uncertainty relation between space and time: Delta r Delta t > G \\hbar / c^4, where G, \\hbar, and c are the Gravitational constant, the reduced Planck constant, and the speed of light, respectively. We outline and briefly discuss the implications of this uncertainty principle.","authors_text":"Luciano Burderi, Tiziana Di Salvo","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-01T13:50:50Z","title":"The quantum clock: a critical discussion on space-time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0207","kind":"arxiv","version":1},"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":"sha256:009d58e65c760eb5931c812aff16cc305f5031874232b7909c90a914d2984dea","target":"record","created_at":"2026-05-18T01:18:34Z","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":"64b4ee7d0cb191d1eb0639b88dd3a3db053072b7fd0adbf4edbb0f1f0e6051ca","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-01T13:50:50Z","title_canon_sha256":"3f3dc559e41a32e73ca4eb73ef25bd5274d51ffcd4cde4a064d3ae09c186659e"},"schema_version":"1.0","source":{"id":"1207.0207","kind":"arxiv","version":1}},"canonical_sha256":"d6dac615cc55ddb51e576bc2accbe50259e4600a710f288a98b2407d35822d81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6dac615cc55ddb51e576bc2accbe50259e4600a710f288a98b2407d35822d81","first_computed_at":"2026-05-18T01:18:34.224088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:34.224088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ETGsHkcWx8B9cObET2s6a1XmHUQg5RaxxAEvFA6iKr8QVaOSoBVeeMtKMVSu0b94SsyYyKCWW7HoZ2DPArftBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:34.224525Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.0207","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:009d58e65c760eb5931c812aff16cc305f5031874232b7909c90a914d2984dea","sha256:85232b26769a5d5d7e17ea07335c12f1248eeafe82a5052cc99410bdf4330dea"],"state_sha256":"0eb7b73c9bf753bbd493d41816e8025dacea21416bb7338e7c99fc33649e68a8"}