{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:65U3JT4SA2P54QKFLVZ5QUSKRN","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":"c002e326d9ecbc3ca9aa0c8637b020f6e7e8ffebc04885eecabf349a1bae35de","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-04-12T16:19:32Z","title_canon_sha256":"6acdfa34152eced351e4b74e5a48a29983134e90ad827cae9602482662964bdf"},"schema_version":"1.0","source":{"id":"1604.03467","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03467","created_at":"2026-05-18T01:08:28Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03467v2","created_at":"2026-05-18T01:08:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03467","created_at":"2026-05-18T01:08:28Z"},{"alias_kind":"pith_short_12","alias_value":"65U3JT4SA2P5","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"65U3JT4SA2P54QKF","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"65U3JT4S","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:9c86ae258cfa4d1186800c3b75c2f8f26e375d7edef3c61057ad15834b56ffe1","target":"graph","created_at":"2026-05-18T01:08:28Z","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":"As an indicator of cooperative motion in a system of Brownian particles that models two-dimensional colloidal liquids, displacement correlation tensor is calculated analytically and compared with numerical results. The key idea for the analytical calculation is to relate the displacement correlation tensor, which is a kind of four-point space-time correlation, to the Lagrangian two-time correlation of the deformation gradient tensor. Tensorial treatment of the statistical quantities, including the displacement correlation itself, allows capturing the vortical structure of the cooperative motio","authors_text":"M. Otsuki, S. Goto, T. Matsumoto, T. Ooshida","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-04-12T16:19:32Z","title":"Calculation of displacement correlation tensor indicating vortical cooperative motion in two-dimensional colloidal liquids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03467","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:e4615a7df6cdd3252a0802c6d06f293cd104644ba80312616d1403a5270c30d0","target":"record","created_at":"2026-05-18T01:08:28Z","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":"c002e326d9ecbc3ca9aa0c8637b020f6e7e8ffebc04885eecabf349a1bae35de","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-04-12T16:19:32Z","title_canon_sha256":"6acdfa34152eced351e4b74e5a48a29983134e90ad827cae9602482662964bdf"},"schema_version":"1.0","source":{"id":"1604.03467","kind":"arxiv","version":2}},"canonical_sha256":"f769b4cf92069fde41455d73d8524a8b764448aa429559cd06f5aca09188e256","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f769b4cf92069fde41455d73d8524a8b764448aa429559cd06f5aca09188e256","first_computed_at":"2026-05-18T01:08:28.690555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:28.690555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wb62664EkO9nL175qCkPC9Ifx5L0KBpfJkZBEHWuZ/xZmzv+qBvixYcwAz+qkrDeZ/sTghijI5P2btClIB13Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:28.691006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03467","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4615a7df6cdd3252a0802c6d06f293cd104644ba80312616d1403a5270c30d0","sha256:9c86ae258cfa4d1186800c3b75c2f8f26e375d7edef3c61057ad15834b56ffe1"],"state_sha256":"0e7ee00495c4f8253b7e3e606b838b53e8ce5b55e94d4e6b063ef2d95f6c9299"}