{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LIKP5XSZ7VQHOYDOVECRGRY342","short_pith_number":"pith:LIKP5XSZ","canonical_record":{"source":{"id":"1209.3313","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-09-14T20:15:49Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a6d85c85320f03e16db1b7f1438b2252ed0fe89a5bdbc3ce25ee4f8099446b7c","abstract_canon_sha256":"f6273eb60e1c81f990080a8a65ce41d71f34479ce137bcbe1abbc1a6b52e19ba"},"schema_version":"1.0"},"canonical_sha256":"5a14fede59fd6077606ea90513471be68a955394acf93c04917076f041068ff5","source":{"kind":"arxiv","id":"1209.3313","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3313","created_at":"2026-05-18T03:30:12Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3313v3","created_at":"2026-05-18T03:30:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3313","created_at":"2026-05-18T03:30:12Z"},{"alias_kind":"pith_short_12","alias_value":"LIKP5XSZ7VQH","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LIKP5XSZ7VQHOYDO","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LIKP5XSZ","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LIKP5XSZ7VQHOYDOVECRGRY342","target":"record","payload":{"canonical_record":{"source":{"id":"1209.3313","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-09-14T20:15:49Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a6d85c85320f03e16db1b7f1438b2252ed0fe89a5bdbc3ce25ee4f8099446b7c","abstract_canon_sha256":"f6273eb60e1c81f990080a8a65ce41d71f34479ce137bcbe1abbc1a6b52e19ba"},"schema_version":"1.0"},"canonical_sha256":"5a14fede59fd6077606ea90513471be68a955394acf93c04917076f041068ff5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:12.317427Z","signature_b64":"sSnYtSJK8gjAPlO+Ky53tiR/wC3H1zWZXqmC2r+/ZeqIBc/krzMvtMjZQOs4QRSHWQKLXOHIPGSUqzTlQSOOCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a14fede59fd6077606ea90513471be68a955394acf93c04917076f041068ff5","last_reissued_at":"2026-05-18T03:30:12.316949Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:12.316949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.3313","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:30:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LZNhqmcZXsT3iWv/cle7uiw7vs3Eb5aliMz11ZbpVBs6tAbuPZ2h+WbUE5AlS5TvkDiEST9EJBKQvpd21t/+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:16:40.088584Z"},"content_sha256":"46ca8c751317a8c3c9d0ad714da0615859f0ea62498094d6be73b759af9db7bf","schema_version":"1.0","event_id":"sha256:46ca8c751317a8c3c9d0ad714da0615859f0ea62498094d6be73b759af9db7bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LIKP5XSZ7VQHOYDOVECRGRY342","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomalous fluctuations of currents in Sinai-type random chains with strongly correlated disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Alberto Rosso, Gleb Oshanin, Gregory Schehr","submitted_at":"2012-09-14T20:15:49Z","abstract_excerpt":"We study properties of a random walk in a generalized Sinai model, in which a quenched random potential is a trajectory of a fractional Brownian motion with arbitrary Hurst parameter H, 0< H <1, so that the random force field displays strong spatial correlations. In this case, the disorder-average mean-square displacement grows in proportion to log^{2/H}(n), n being time. We prove that moments of arbitrary order k of the steady-state current J_L through a finite segment of length L of such a chain decay as L^{-(1-H)}, independently of k, which suggests that despite a logarithmic confinement th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3313","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:30:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WnDHEOgjjjxfvjRIzA5K5HXXXWvDPQAqg8nYbSzHKCYJX6u27mIgJ5Apx8FFIGMYE6CG2sKQJl7k1McWPlfOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:16:40.088950Z"},"content_sha256":"5e95f50f6e15c11815e47e360b8a85fb9c9c3b8e38983986b242cb2b18b83d88","schema_version":"1.0","event_id":"sha256:5e95f50f6e15c11815e47e360b8a85fb9c9c3b8e38983986b242cb2b18b83d88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LIKP5XSZ7VQHOYDOVECRGRY342/bundle.json","state_url":"https://pith.science/pith/LIKP5XSZ7VQHOYDOVECRGRY342/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LIKP5XSZ7VQHOYDOVECRGRY342/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T13:16:40Z","links":{"resolver":"https://pith.science/pith/LIKP5XSZ7VQHOYDOVECRGRY342","bundle":"https://pith.science/pith/LIKP5XSZ7VQHOYDOVECRGRY342/bundle.json","state":"https://pith.science/pith/LIKP5XSZ7VQHOYDOVECRGRY342/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LIKP5XSZ7VQHOYDOVECRGRY342/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LIKP5XSZ7VQHOYDOVECRGRY342","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":"f6273eb60e1c81f990080a8a65ce41d71f34479ce137bcbe1abbc1a6b52e19ba","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-09-14T20:15:49Z","title_canon_sha256":"a6d85c85320f03e16db1b7f1438b2252ed0fe89a5bdbc3ce25ee4f8099446b7c"},"schema_version":"1.0","source":{"id":"1209.3313","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3313","created_at":"2026-05-18T03:30:12Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3313v3","created_at":"2026-05-18T03:30:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3313","created_at":"2026-05-18T03:30:12Z"},{"alias_kind":"pith_short_12","alias_value":"LIKP5XSZ7VQH","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LIKP5XSZ7VQHOYDO","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LIKP5XSZ","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:5e95f50f6e15c11815e47e360b8a85fb9c9c3b8e38983986b242cb2b18b83d88","target":"graph","created_at":"2026-05-18T03:30:12Z","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 study properties of a random walk in a generalized Sinai model, in which a quenched random potential is a trajectory of a fractional Brownian motion with arbitrary Hurst parameter H, 0< H <1, so that the random force field displays strong spatial correlations. In this case, the disorder-average mean-square displacement grows in proportion to log^{2/H}(n), n being time. We prove that moments of arbitrary order k of the steady-state current J_L through a finite segment of length L of such a chain decay as L^{-(1-H)}, independently of k, which suggests that despite a logarithmic confinement th","authors_text":"Alberto Rosso, Gleb Oshanin, Gregory Schehr","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-09-14T20:15:49Z","title":"Anomalous fluctuations of currents in Sinai-type random chains with strongly correlated disorder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3313","kind":"arxiv","version":3},"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":"sha256:46ca8c751317a8c3c9d0ad714da0615859f0ea62498094d6be73b759af9db7bf","target":"record","created_at":"2026-05-18T03:30:12Z","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":"f6273eb60e1c81f990080a8a65ce41d71f34479ce137bcbe1abbc1a6b52e19ba","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-09-14T20:15:49Z","title_canon_sha256":"a6d85c85320f03e16db1b7f1438b2252ed0fe89a5bdbc3ce25ee4f8099446b7c"},"schema_version":"1.0","source":{"id":"1209.3313","kind":"arxiv","version":3}},"canonical_sha256":"5a14fede59fd6077606ea90513471be68a955394acf93c04917076f041068ff5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a14fede59fd6077606ea90513471be68a955394acf93c04917076f041068ff5","first_computed_at":"2026-05-18T03:30:12.316949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:12.316949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sSnYtSJK8gjAPlO+Ky53tiR/wC3H1zWZXqmC2r+/ZeqIBc/krzMvtMjZQOs4QRSHWQKLXOHIPGSUqzTlQSOOCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:12.317427Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3313","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46ca8c751317a8c3c9d0ad714da0615859f0ea62498094d6be73b759af9db7bf","sha256:5e95f50f6e15c11815e47e360b8a85fb9c9c3b8e38983986b242cb2b18b83d88"],"state_sha256":"f0043f80c682f446025703ff57e0669c4b8001a285523dc4ec4106114b11aef6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Eqwm2lXTN/s1UWH3nvGnyk1FKsVz5en4N6bblQFjiGuN9RA+2fySHpmDQ5jiJw5Ox51U27hGVFSHWe5/+WcBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T13:16:40.091624Z","bundle_sha256":"568e604d5a519b1fd63887b1ab7079b727740ddebcd6167d7d5e42502986f3de"}}