{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:F7XFQX7DHUKVM5NFYNYHBSZCNZ","short_pith_number":"pith:F7XFQX7D","schema_version":"1.0","canonical_sha256":"2fee585fe33d155675a5c37070cb226e530b92798151e50e65869f121d895324","source":{"kind":"arxiv","id":"1810.06832","version":2},"attestation_state":"computed","paper":{"title":"Stochastic time-evolution, information geometry and the Cramer-Rao Bound","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andreas Dechant, Sosuke Ito","submitted_at":"2018-10-16T06:27:19Z","abstract_excerpt":"We investigate the connection between the time-evolution of averages of stochastic quantities and the Fisher information and its induced statistical length. As a consequence of the Cramer-Rao bound, we find that the rate of change of the average of any observable is bounded from above by its variance times the temporal Fisher information. As a consequence of this bound, we obtain a speed limit on the evolution of stochastic observables: Changing the average of an observable requires a minimum amount of time given by the change in the average squared, divided by the fluctuations of the observab"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1810.06832","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-16T06:27:19Z","cross_cats_sorted":[],"title_canon_sha256":"4ddc7383a9f92d063c72168941fcb85a1ad96d53f7a058d441a5adfc5d9920bd","abstract_canon_sha256":"7c9c7e94e04cf97894d9b21fb7965de6aa1c44ac70d31b9819d5d08828c1841b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:15:04.684348Z","signature_b64":"zH35G6fu2B5/fBGIh39g1Xvd0R8fwKgPgVNwuZZbX5NWIVXor/pPVqN0CXo8Fp13bRR5E65a+ZpAzL1S3EzsDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fee585fe33d155675a5c37070cb226e530b92798151e50e65869f121d895324","last_reissued_at":"2026-07-05T01:15:04.683869Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:15:04.683869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic time-evolution, information geometry and the Cramer-Rao Bound","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andreas Dechant, Sosuke Ito","submitted_at":"2018-10-16T06:27:19Z","abstract_excerpt":"We investigate the connection between the time-evolution of averages of stochastic quantities and the Fisher information and its induced statistical length. As a consequence of the Cramer-Rao bound, we find that the rate of change of the average of any observable is bounded from above by its variance times the temporal Fisher information. As a consequence of this bound, we obtain a speed limit on the evolution of stochastic observables: Changing the average of an observable requires a minimum amount of time given by the change in the average squared, divided by the fluctuations of the observab"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06832","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/1810.06832/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1810.06832","created_at":"2026-07-05T01:15:04.683927+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.06832v2","created_at":"2026-07-05T01:15:04.683927+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06832","created_at":"2026-07-05T01:15:04.683927+00:00"},{"alias_kind":"pith_short_12","alias_value":"F7XFQX7DHUKV","created_at":"2026-07-05T01:15:04.683927+00:00"},{"alias_kind":"pith_short_16","alias_value":"F7XFQX7DHUKVM5NF","created_at":"2026-07-05T01:15:04.683927+00:00"},{"alias_kind":"pith_short_8","alias_value":"F7XFQX7D","created_at":"2026-07-05T01:15:04.683927+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.09446","citing_title":"Information geometry, trade-off relations, and generalized Glansdorff-Prigogine criterion for stability","ref_index":50,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/F7XFQX7DHUKVM5NFYNYHBSZCNZ","json":"https://pith.science/pith/F7XFQX7DHUKVM5NFYNYHBSZCNZ.json","graph_json":"https://pith.science/api/pith-number/F7XFQX7DHUKVM5NFYNYHBSZCNZ/graph.json","events_json":"https://pith.science/api/pith-number/F7XFQX7DHUKVM5NFYNYHBSZCNZ/events.json","paper":"https://pith.science/paper/F7XFQX7D"},"agent_actions":{"view_html":"https://pith.science/pith/F7XFQX7DHUKVM5NFYNYHBSZCNZ","download_json":"https://pith.science/pith/F7XFQX7DHUKVM5NFYNYHBSZCNZ.json","view_paper":"https://pith.science/paper/F7XFQX7D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.06832&json=true","fetch_graph":"https://pith.science/api/pith-number/F7XFQX7DHUKVM5NFYNYHBSZCNZ/graph.json","fetch_events":"https://pith.science/api/pith-number/F7XFQX7DHUKVM5NFYNYHBSZCNZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F7XFQX7DHUKVM5NFYNYHBSZCNZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F7XFQX7DHUKVM5NFYNYHBSZCNZ/action/storage_attestation","attest_author":"https://pith.science/pith/F7XFQX7DHUKVM5NFYNYHBSZCNZ/action/author_attestation","sign_citation":"https://pith.science/pith/F7XFQX7DHUKVM5NFYNYHBSZCNZ/action/citation_signature","submit_replication":"https://pith.science/pith/F7XFQX7DHUKVM5NFYNYHBSZCNZ/action/replication_record"}},"created_at":"2026-07-05T01:15:04.683927+00:00","updated_at":"2026-07-05T01:15:04.683927+00:00"}