{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RSFEYLFJN7UAM5BN7PMHT6VZJX","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":"87d6a8084b2d3e39cd16a4b8b3f2e060848702a7a39aa73f1492e9a12278035f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-07T05:24:17Z","title_canon_sha256":"7e8674c53215006a9136cd43ca503a7518dd6ede58d11960cc8749b934035633"},"schema_version":"1.0","source":{"id":"1709.02074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.02074","created_at":"2026-05-18T00:32:05Z"},{"alias_kind":"arxiv_version","alias_value":"1709.02074v1","created_at":"2026-05-18T00:32:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.02074","created_at":"2026-05-18T00:32:05Z"},{"alias_kind":"pith_short_12","alias_value":"RSFEYLFJN7UA","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RSFEYLFJN7UAM5BN","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RSFEYLFJ","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:d83c9eb5022bb6d133688acfebba45d427efd897dcbf2d2966160ff9a8e8e4ad","target":"graph","created_at":"2026-05-18T00:32:05Z","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":"We introduce a single generative mechanism with which it is able to describe diverse non-stationary diffusions. A non-stationary Markovian replication process for steps is considered, for which we analytically derive time-evolution of the probability distribution of the walker's displacement and the generalized telegrapher equation with time-varying coefficients, and find that diffusivity can be determined by temporal changes of replication of a immediate step. By controlling the replications, we realize the diverse diffusions such as alternating diffusions, superdiffusions, subdiffusions, and","authors_text":"Hyun-Joo Kim, Yichul Choi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-07T05:24:17Z","title":"Non-stationary Markovian Replication Process causing Diverse Diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.02074","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":"sha256:444a636daa5ea0947314681b42c84eb6712c4d2f59e441be453c0fc07b9ba29d","target":"record","created_at":"2026-05-18T00:32:05Z","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":"87d6a8084b2d3e39cd16a4b8b3f2e060848702a7a39aa73f1492e9a12278035f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-09-07T05:24:17Z","title_canon_sha256":"7e8674c53215006a9136cd43ca503a7518dd6ede58d11960cc8749b934035633"},"schema_version":"1.0","source":{"id":"1709.02074","kind":"arxiv","version":1}},"canonical_sha256":"8c8a4c2ca96fe806742dfbd879fab94dc81f9371ccfe5fc7165bcedb786e71c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c8a4c2ca96fe806742dfbd879fab94dc81f9371ccfe5fc7165bcedb786e71c0","first_computed_at":"2026-05-18T00:32:05.317667Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:05.317667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Se40+dgK31pwMi998lmT4ZAHcsu3gVixeFexUmmnfIsyhQ4chrCovQ4bNL5/uqkdcZnd/CO7atqY/roe7lLpDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:05.318246Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.02074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:444a636daa5ea0947314681b42c84eb6712c4d2f59e441be453c0fc07b9ba29d","sha256:d83c9eb5022bb6d133688acfebba45d427efd897dcbf2d2966160ff9a8e8e4ad"],"state_sha256":"2b7344bb381ba43840d3db23832f1b64f55d269d7d7b20992633e4e40789e0de"}