{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GVVXDYDNZ7LMISTEU7XSZ6UGCT","short_pith_number":"pith:GVVXDYDN","schema_version":"1.0","canonical_sha256":"356b71e06dcfd6c44a64a7ef2cfa8614ded1e9e00fbedc3e9f58931b0cbd425e","source":{"kind":"arxiv","id":"1806.01859","version":2},"attestation_state":"computed","paper":{"title":"Locality Bound for Dissipative Quantum Transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Sean A. Hartnoll, Xizhi Han","submitted_at":"2018-06-05T18:00:06Z","abstract_excerpt":"We prove an upper bound on the diffusivity of a general local and translation invariant quantum Markovian spin system: $D \\leq D_0 + \\left(\\alpha \\, v_\\text{LR} \\tau + \\beta \\, \\xi \\right) v_\\text{C}$. Here $v_\\text{LR}$ is the Lieb-Robinson velocity, $v_\\text{C}$ is a velocity defined by the current operator, $\\tau$ is the decoherence time, $\\xi$ is the range of interactions, $D_0$ is a microscopically determined diffusivity and $\\alpha$ and $\\beta$ are precisely defined dimensionless coefficients. The bound constrains quantum transport by quantities that can either be obtained from the micro"},"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":"1806.01859","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-05T18:00:06Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"title_canon_sha256":"4e5ce27eed193f7ec36003d946bce6d833adb19ec7d0eac49f8cfb6392bcbaf5","abstract_canon_sha256":"6e94ff01d7e4fc8f306645cd7ac536c436f5f2aaa7ef05b689aa529b85738110"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:59.127731Z","signature_b64":"PXbgqdCcVkxjKlZOG+bz/7N5/xNxNcCn7Z8kE9BtOBwkNmAA3Yn9IHvH8mPtXsNZX901b/Av2MIsLSe5OODjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"356b71e06dcfd6c44a64a7ef2cfa8614ded1e9e00fbedc3e9f58931b0cbd425e","last_reissued_at":"2026-05-18T00:01:59.127206Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:59.127206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Locality Bound for Dissipative Quantum Transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Sean A. Hartnoll, Xizhi Han","submitted_at":"2018-06-05T18:00:06Z","abstract_excerpt":"We prove an upper bound on the diffusivity of a general local and translation invariant quantum Markovian spin system: $D \\leq D_0 + \\left(\\alpha \\, v_\\text{LR} \\tau + \\beta \\, \\xi \\right) v_\\text{C}$. Here $v_\\text{LR}$ is the Lieb-Robinson velocity, $v_\\text{C}$ is a velocity defined by the current operator, $\\tau$ is the decoherence time, $\\xi$ is the range of interactions, $D_0$ is a microscopically determined diffusivity and $\\alpha$ and $\\beta$ are precisely defined dimensionless coefficients. The bound constrains quantum transport by quantities that can either be obtained from the micro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01859","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1806.01859","created_at":"2026-05-18T00:01:59.127281+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.01859v2","created_at":"2026-05-18T00:01:59.127281+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01859","created_at":"2026-05-18T00:01:59.127281+00:00"},{"alias_kind":"pith_short_12","alias_value":"GVVXDYDNZ7LM","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GVVXDYDNZ7LMISTE","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GVVXDYDN","created_at":"2026-05-18T12:32:25.280505+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.18255","citing_title":"Bootstrapping transport in the Drude-Kadanoff-Martin model","ref_index":24,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GVVXDYDNZ7LMISTEU7XSZ6UGCT","json":"https://pith.science/pith/GVVXDYDNZ7LMISTEU7XSZ6UGCT.json","graph_json":"https://pith.science/api/pith-number/GVVXDYDNZ7LMISTEU7XSZ6UGCT/graph.json","events_json":"https://pith.science/api/pith-number/GVVXDYDNZ7LMISTEU7XSZ6UGCT/events.json","paper":"https://pith.science/paper/GVVXDYDN"},"agent_actions":{"view_html":"https://pith.science/pith/GVVXDYDNZ7LMISTEU7XSZ6UGCT","download_json":"https://pith.science/pith/GVVXDYDNZ7LMISTEU7XSZ6UGCT.json","view_paper":"https://pith.science/paper/GVVXDYDN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.01859&json=true","fetch_graph":"https://pith.science/api/pith-number/GVVXDYDNZ7LMISTEU7XSZ6UGCT/graph.json","fetch_events":"https://pith.science/api/pith-number/GVVXDYDNZ7LMISTEU7XSZ6UGCT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GVVXDYDNZ7LMISTEU7XSZ6UGCT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GVVXDYDNZ7LMISTEU7XSZ6UGCT/action/storage_attestation","attest_author":"https://pith.science/pith/GVVXDYDNZ7LMISTEU7XSZ6UGCT/action/author_attestation","sign_citation":"https://pith.science/pith/GVVXDYDNZ7LMISTEU7XSZ6UGCT/action/citation_signature","submit_replication":"https://pith.science/pith/GVVXDYDNZ7LMISTEU7XSZ6UGCT/action/replication_record"}},"created_at":"2026-05-18T00:01:59.127281+00:00","updated_at":"2026-05-18T00:01:59.127281+00:00"}