{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:T7JOICBWBRK6OMYF3U7HFMNEFA","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":"a85de016d02a8477de324cd1a67455aab6c5389366be153d88214e37daa4bb1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-01-20T06:08:33Z","title_canon_sha256":"0071c9274689a47a033adfbd7fe41c03013138deb1a5dca6dcaa3df5ef8acaf2"},"schema_version":"1.0","source":{"id":"1401.4796","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.4796","created_at":"2026-05-18T01:45:19Z"},{"alias_kind":"arxiv_version","alias_value":"1401.4796v2","created_at":"2026-05-18T01:45:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4796","created_at":"2026-05-18T01:45:19Z"},{"alias_kind":"pith_short_12","alias_value":"T7JOICBWBRK6","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"T7JOICBWBRK6OMYF","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"T7JOICBW","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:0adced04d9ed0cc4ce30a15003c7188b4cec7a75a4c8d6dd49de49cf0ff4c0a7","target":"graph","created_at":"2026-05-18T01:45:19Z","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":"Relaxation, <Sz(t)>, of the average spin of a carrier in course of hops over sites hosting random hyperfine fields is studied theoretically. In low dimensions, d = 1, 2, the decay of average spin with time is non-exponential at all times. The origin of the effect is that for d = 1, 2 a typical random-walk trajectory exhibits numerous self-intersections. Multiple visits of the carrier to the same site accelerates the relaxation since the corresponding partial rotations of spin during these visits add up. Another consequence of self-intersections of the random-walk trajectories is that, in all d","authors_text":"M. E. Raikh, R. C. Roundy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-01-20T06:08:33Z","title":"Spin relaxation of a diffusively moving carrier in a random hyperfine field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4796","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:ce36818e8c9c1e48545c3ee41214758f2c84b017464a2bed6c8eede8e53f74b8","target":"record","created_at":"2026-05-18T01:45:19Z","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":"a85de016d02a8477de324cd1a67455aab6c5389366be153d88214e37daa4bb1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2014-01-20T06:08:33Z","title_canon_sha256":"0071c9274689a47a033adfbd7fe41c03013138deb1a5dca6dcaa3df5ef8acaf2"},"schema_version":"1.0","source":{"id":"1401.4796","kind":"arxiv","version":2}},"canonical_sha256":"9fd2e408360c55e73305dd3e72b1a42837c3c43a4b92c6cd901be18fc5a25cb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fd2e408360c55e73305dd3e72b1a42837c3c43a4b92c6cd901be18fc5a25cb9","first_computed_at":"2026-05-18T01:45:19.131165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:19.131165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MR32bbv1GTd2rc7OSlbmxJGhgc6E6bKIa/Z9tzbTLmrByV4lVVRA/7WmG0nXyM833XpnfmfVRXR8H1bIM6ytDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:19.131771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.4796","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce36818e8c9c1e48545c3ee41214758f2c84b017464a2bed6c8eede8e53f74b8","sha256:0adced04d9ed0cc4ce30a15003c7188b4cec7a75a4c8d6dd49de49cf0ff4c0a7"],"state_sha256":"6db139a97863b883e75de0caf0516e93a6f348e55ec6a9a7a28c06e5e0be9d43"}