{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7Q7GWBJ6CTCERL7G4SYZGUQXWC","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":"f96359b24a73c6be0e674bbf2afd971111411321666aa44111241e5f8567bb78","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-08-31T08:26:28Z","title_canon_sha256":"ef773e92d8217a090558656ed4206e540ce830e059f6ad6f4780f69a685c659b"},"schema_version":"1.0","source":{"id":"1508.07715","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07715","created_at":"2026-05-18T01:28:46Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07715v1","created_at":"2026-05-18T01:28:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07715","created_at":"2026-05-18T01:28:46Z"},{"alias_kind":"pith_short_12","alias_value":"7Q7GWBJ6CTCE","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7Q7GWBJ6CTCERL7G","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7Q7GWBJ6","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:1c1ac13bbbabac07e88283ee35b15f09d7dfa4770e008e9c52a5823291573900","target":"graph","created_at":"2026-05-18T01:28:46Z","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":"An autoregressive model with a power-law type memory kernel is studied as a stochastic process that exhibits a self-affine-fractal-like behavior for a small time scale. We find numerically that the root-mean-square displacement for the time interval increases with a power law for small time but saturates at sufficiently large time. The exponent changes with the power exponent of the memory kernel.","authors_text":"Haruo Honjo, Hidetsugu Sakaguchi","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-08-31T08:26:28Z","title":"Anomalous Fluctuations in Autoregressive Models with Long-Term Memory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07715","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:e151174d64c76c554dc74de567a73fbe88edd865cebce7c47490f0ea0ca3cfde","target":"record","created_at":"2026-05-18T01:28:46Z","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":"f96359b24a73c6be0e674bbf2afd971111411321666aa44111241e5f8567bb78","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-08-31T08:26:28Z","title_canon_sha256":"ef773e92d8217a090558656ed4206e540ce830e059f6ad6f4780f69a685c659b"},"schema_version":"1.0","source":{"id":"1508.07715","kind":"arxiv","version":1}},"canonical_sha256":"fc3e6b053e14c448afe6e4b1935217b09777b17c70ee83a6003a4164a31d3385","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc3e6b053e14c448afe6e4b1935217b09777b17c70ee83a6003a4164a31d3385","first_computed_at":"2026-05-18T01:28:46.533023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:46.533023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HS1TjMEzH350O4nl/gCDTzo+ygAnN+vr2eYd0lNm9VKXNsiIrZE+nHkiV5tx3WC/eQDbAdnrwY37npvD1h50Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:46.533646Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07715","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e151174d64c76c554dc74de567a73fbe88edd865cebce7c47490f0ea0ca3cfde","sha256:1c1ac13bbbabac07e88283ee35b15f09d7dfa4770e008e9c52a5823291573900"],"state_sha256":"002334a26b324b88d5f25b08304e4d112c352ed4a842c7d16276eb1f07f94fd1"}