{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5ZTAIU5RF6FOPQQL6624RPO3FX","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":"3c29f45b0fc606bff6f1f482bd6b522bfe956ac2e57c9e43daff6d8f435ae37f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-11-21T12:00:31Z","title_canon_sha256":"6884ef11d4fe2ef4e5c377433d0af5b92e3c7da03be8678cba8c64f2b96bbbe7"},"schema_version":"1.0","source":{"id":"1611.06743","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06743","created_at":"2026-05-18T00:29:31Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06743v1","created_at":"2026-05-18T00:29:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06743","created_at":"2026-05-18T00:29:31Z"},{"alias_kind":"pith_short_12","alias_value":"5ZTAIU5RF6FO","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5ZTAIU5RF6FOPQQL","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5ZTAIU5R","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:47c7a1858ab296ffcb37f5a89f3c46bc4d9caf27391407f6937a93be316ecc6e","target":"graph","created_at":"2026-05-18T00:29:31Z","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 consider a continuous-space and continuous-time diffusion process under resetting with memory. A particle resets to a position chosen from its trajectory in the past according to a memory kernel. Depending on the form of the memory kernel, we show analytically how different asymptotic behaviours of the variance of the particle position emerge at long times. These range from standard diffusive ($\\sigma^2 \\sim t$) all the way to anomalous ultraslow growth $\\sigma^2 \\sim \\ln \\ln t$.","authors_text":"Denis Boyer, Martin R. Evans, Satya N. Majumdar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-11-21T12:00:31Z","title":"Long time scaling behaviour for diffusion with resetting and memory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06743","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:ff59d1dfcea8156dad095eb5f16d298f85c6bb869f7cfc7a04ecf03df66415a3","target":"record","created_at":"2026-05-18T00:29:31Z","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":"3c29f45b0fc606bff6f1f482bd6b522bfe956ac2e57c9e43daff6d8f435ae37f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-11-21T12:00:31Z","title_canon_sha256":"6884ef11d4fe2ef4e5c377433d0af5b92e3c7da03be8678cba8c64f2b96bbbe7"},"schema_version":"1.0","source":{"id":"1611.06743","kind":"arxiv","version":1}},"canonical_sha256":"ee660453b12f8ae7c20bf7b5c8bddb2dde6bb47df7f528d2fa7b5e3a30903cb7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee660453b12f8ae7c20bf7b5c8bddb2dde6bb47df7f528d2fa7b5e3a30903cb7","first_computed_at":"2026-05-18T00:29:31.216026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:31.216026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gtVjmdcnStH06BaL0PZPjeFnp7oNH+eHVlXwch2Aimk5cxxIMM0Q8ib2+3DUZlOamYoRgGsrPgH12nkxV5G9Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:31.216521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.06743","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff59d1dfcea8156dad095eb5f16d298f85c6bb869f7cfc7a04ecf03df66415a3","sha256:47c7a1858ab296ffcb37f5a89f3c46bc4d9caf27391407f6937a93be316ecc6e"],"state_sha256":"f440755ef992347e6132e7b1687f4bb7629b08525df176fbe3ffbb2f6361e133"}