{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2SHYSPESY7QTLDS5PWY2WLMZLN","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":"15c5f66779968b85ac19c605ad45eaaf29afa7c57d4342fc0dd146269e788976","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-31T18:00:03Z","title_canon_sha256":"621c7eb13f2c01b9a7c246f91f7068a9c2b72ca0442ced09f76334bcab9d27bc"},"schema_version":"1.0","source":{"id":"1706.00019","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.00019","created_at":"2026-05-18T00:33:10Z"},{"alias_kind":"arxiv_version","alias_value":"1706.00019v2","created_at":"2026-05-18T00:33:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00019","created_at":"2026-05-18T00:33:10Z"},{"alias_kind":"pith_short_12","alias_value":"2SHYSPESY7QT","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2SHYSPESY7QTLDS5","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2SHYSPES","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:143fda9c6be342371f73d43ff11d3505e8c90b2be63b277dc3c97cc8586fbe25","target":"graph","created_at":"2026-05-18T00:33:10Z","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":"The linear growth of operators in local quantum systems leads to an effective lightcone even if the system is non-relativistic. We show that consistency of diffusive transport with this lightcone places an upper bound on the diffusivity: $D \\lesssim v^2 \\tau_\\text{eq}$. The operator growth velocity $v$ defines the lightcone and $\\tau_\\text{eq}$ is the local equilibration timescale, beyond which the dynamics of conserved densities is diffusive. We verify that the bound is obeyed in various weakly and strongly interacting theories. In holographic models this bound establishes a relation between ","authors_text":"Raghu Mahajan, Sean A. Hartnoll, Thomas Hartman","cross_cats":["cond-mat.str-el","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-31T18:00:03Z","title":"An upper bound on transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00019","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:fae6a9d89b29a7dfb8887424b3141e917b058d92ff7c3c8b462d1071cb069fef","target":"record","created_at":"2026-05-18T00:33:10Z","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":"15c5f66779968b85ac19c605ad45eaaf29afa7c57d4342fc0dd146269e788976","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-31T18:00:03Z","title_canon_sha256":"621c7eb13f2c01b9a7c246f91f7068a9c2b72ca0442ced09f76334bcab9d27bc"},"schema_version":"1.0","source":{"id":"1706.00019","kind":"arxiv","version":2}},"canonical_sha256":"d48f893c92c7e1358e5d7db1ab2d995b6f803c48d13a1b128fd0d671e6e5a5a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d48f893c92c7e1358e5d7db1ab2d995b6f803c48d13a1b128fd0d671e6e5a5a4","first_computed_at":"2026-05-18T00:33:10.264706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:10.264706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IpVaMBV7EBe1onPj4IwJ+rXwo6AMKuGEh/epJ1xRXJflyTLkiFuGcUc4CSEMSc4cnIxzGYlULwLvoZOKT6kBCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:10.265412Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.00019","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fae6a9d89b29a7dfb8887424b3141e917b058d92ff7c3c8b462d1071cb069fef","sha256:143fda9c6be342371f73d43ff11d3505e8c90b2be63b277dc3c97cc8586fbe25"],"state_sha256":"fccfdb789f53f07712c34641a8cb2df66c23a9d06153e5f0740067be76c32234"}