{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZXUO75Q2M5AEDM4P2MZ2P3CGBM","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":"325679acbbe4322a7fc1c66d8777da3447240f93b2b97fb9a58e94f4727882e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-20T10:40:43Z","title_canon_sha256":"41ead77e95ee5e8a761c3aadcaa305f50a521be2b37975e5d7ffa8ba4d2d8c2b"},"schema_version":"1.0","source":{"id":"1501.04757","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04757","created_at":"2026-05-18T01:41:10Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04757v1","created_at":"2026-05-18T01:41:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04757","created_at":"2026-05-18T01:41:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZXUO75Q2M5AE","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZXUO75Q2M5AEDM4P","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZXUO75Q2","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:df6b7b7a7c5afff7c083f2d8a1b97ce2f1b50c917ec16ea1f40e25523e9e5a16","target":"graph","created_at":"2026-05-18T01:41:10Z","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 hydrodynamic part of the velocity autocorrelation function of a granular fluid in the homogeneous cooling state has been calculated by using mode-coupling theory for a finite system with periodic boundary conditions. The existence of the shearing instability, leading to a divergent behavior of the velocity flow fluctuations, is taken into account. A time region in which the velocity autocorrelation function exhibits a power law decay, when time is measured by the number of collisions per particle, has been been identified. Also the explicit form of the exponential asymptotic long time deca","authors_text":"J. Javier Brey, M.J. Ruiz-Montero","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-20T10:40:43Z","title":"Power-law decay of the velocity autocorrelation function of a granular fluid in the homogeneous cooling state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04757","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":"sha256:483c97a4dc50c3dd691052921fec637a39289fac41d97bcb5cf2cca18237ffd7","target":"record","created_at":"2026-05-18T01:41:10Z","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":"325679acbbe4322a7fc1c66d8777da3447240f93b2b97fb9a58e94f4727882e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-20T10:40:43Z","title_canon_sha256":"41ead77e95ee5e8a761c3aadcaa305f50a521be2b37975e5d7ffa8ba4d2d8c2b"},"schema_version":"1.0","source":{"id":"1501.04757","kind":"arxiv","version":1}},"canonical_sha256":"cde8eff61a674041b38fd333a7ec460b33e6f31483c98cdf5279a1ffa0aeb207","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cde8eff61a674041b38fd333a7ec460b33e6f31483c98cdf5279a1ffa0aeb207","first_computed_at":"2026-05-18T01:41:10.094702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:10.094702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9MZvgEFgPnJt/jPfVKUKmBb5C6OW0uT55JQ+nOp+hB36hzi8ImH+BvgnjVaL+qPesC1xWmCOx1ulXxdPi0ruCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:10.095378Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.04757","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:483c97a4dc50c3dd691052921fec637a39289fac41d97bcb5cf2cca18237ffd7","sha256:df6b7b7a7c5afff7c083f2d8a1b97ce2f1b50c917ec16ea1f40e25523e9e5a16"],"state_sha256":"ac82c2c3afa960ac08c4d7facde331f65f8715e107533ad2e497b20d43f94bca"}