{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:YLH6XCHDHSP4NTYWGHIFWJBVL3","short_pith_number":"pith:YLH6XCHD","canonical_record":{"source":{"id":"1003.1627","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-03-08T13:46:44Z","cross_cats_sorted":[],"title_canon_sha256":"39266bd5147d38df878b8f5d52b5fdeb6e91f765ec0f54dd9787f6b97ee75e3d","abstract_canon_sha256":"5ff6a792e4c223bfde127756c76f33c2e3bce1cfaa575b3063e9265728adb795"},"schema_version":"1.0"},"canonical_sha256":"c2cfeb88e33c9fc6cf1631d05b24355ed05513c308ab253be9bb53efb7f2c0ce","source":{"kind":"arxiv","id":"1003.1627","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1627","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1627v2","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1627","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"YLH6XCHDHSP4","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YLH6XCHDHSP4NTYW","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YLH6XCHD","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:YLH6XCHDHSP4NTYWGHIFWJBVL3","target":"record","payload":{"canonical_record":{"source":{"id":"1003.1627","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-03-08T13:46:44Z","cross_cats_sorted":[],"title_canon_sha256":"39266bd5147d38df878b8f5d52b5fdeb6e91f765ec0f54dd9787f6b97ee75e3d","abstract_canon_sha256":"5ff6a792e4c223bfde127756c76f33c2e3bce1cfaa575b3063e9265728adb795"},"schema_version":"1.0"},"canonical_sha256":"c2cfeb88e33c9fc6cf1631d05b24355ed05513c308ab253be9bb53efb7f2c0ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:43.931768Z","signature_b64":"yw+tvNWcVvp1VTNwGM/djk4UoADO+zqDwpUEVW23sQwvTb7aXF1oVsjbtuxAe9ZFKmcSh3bhLrMqLp+rM5caAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2cfeb88e33c9fc6cf1631d05b24355ed05513c308ab253be9bb53efb7f2c0ce","last_reissued_at":"2026-05-18T04:41:43.931252Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:43.931252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.1627","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:41:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9dgls7GQb9Qq5xqwbCyIZV/BllaGLX3OvzAlGZjfhnD4x5pwAYSbkyKK/GvtTU4M3h/b5R6KfdEUPK7z3qhLBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:54:48.250146Z"},"content_sha256":"0d937793e69cc11aa249b2e7317e316fe3e11bf1fe09b33a2e3ad09855980b12","schema_version":"1.0","event_id":"sha256:0d937793e69cc11aa249b2e7317e316fe3e11bf1fe09b33a2e3ad09855980b12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:YLH6XCHDHSP4NTYWGHIFWJBVL3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random walk in a two-dimensional self-affine random potential : properties of the anomalous diffusion phase at small external force","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Cecile Monthus, Thomas Garel","submitted_at":"2010-03-08T13:46:44Z","abstract_excerpt":"We consider the random walk of a particle in a two-dimensional self-affine random potential of Hurst exponent $H=1/2$ in the presence of an external force $F$. We present numerical results on the statistics of first-passage times that satisfy closed backward master equations. We find that there exists a zero-velocity phase in a finite region of the external force $0<F<F_c$, where the dynamics follows the anomalous diffusion law $ x(t) \\sim \\xi(F) \\ t^{\\mu(F)} $. The anomalous exponent $0<\\mu(F)<1$ and the correlation length $\\xi(F)$ vary continuously with $F$. In the limit of vanishing force $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1627","kind":"arxiv","version":2},"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":"2026-05-18T04:41:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VCxrIMIRg+xYG9UeJ4m1zdXQAsuyRKlrjpNLX4oJd3MEx70I0uIq7cpTWlyC86lvZ0gLZFqIY3PNgcGlh/o/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:54:48.250608Z"},"content_sha256":"e33cd6bd572491bd112e248c1b8f2d9a4c7f541f28729e2325b52075642ae7ab","schema_version":"1.0","event_id":"sha256:e33cd6bd572491bd112e248c1b8f2d9a4c7f541f28729e2325b52075642ae7ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YLH6XCHDHSP4NTYWGHIFWJBVL3/bundle.json","state_url":"https://pith.science/pith/YLH6XCHDHSP4NTYWGHIFWJBVL3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YLH6XCHDHSP4NTYWGHIFWJBVL3/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":"2026-06-04T22:54:48Z","links":{"resolver":"https://pith.science/pith/YLH6XCHDHSP4NTYWGHIFWJBVL3","bundle":"https://pith.science/pith/YLH6XCHDHSP4NTYWGHIFWJBVL3/bundle.json","state":"https://pith.science/pith/YLH6XCHDHSP4NTYWGHIFWJBVL3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YLH6XCHDHSP4NTYWGHIFWJBVL3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YLH6XCHDHSP4NTYWGHIFWJBVL3","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":"5ff6a792e4c223bfde127756c76f33c2e3bce1cfaa575b3063e9265728adb795","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-03-08T13:46:44Z","title_canon_sha256":"39266bd5147d38df878b8f5d52b5fdeb6e91f765ec0f54dd9787f6b97ee75e3d"},"schema_version":"1.0","source":{"id":"1003.1627","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1627","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1627v2","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1627","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"YLH6XCHDHSP4","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YLH6XCHDHSP4NTYW","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YLH6XCHD","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:e33cd6bd572491bd112e248c1b8f2d9a4c7f541f28729e2325b52075642ae7ab","target":"graph","created_at":"2026-05-18T04:41:43Z","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 the random walk of a particle in a two-dimensional self-affine random potential of Hurst exponent $H=1/2$ in the presence of an external force $F$. We present numerical results on the statistics of first-passage times that satisfy closed backward master equations. We find that there exists a zero-velocity phase in a finite region of the external force $0<F<F_c$, where the dynamics follows the anomalous diffusion law $ x(t) \\sim \\xi(F) \\ t^{\\mu(F)} $. The anomalous exponent $0<\\mu(F)<1$ and the correlation length $\\xi(F)$ vary continuously with $F$. In the limit of vanishing force $","authors_text":"Cecile Monthus, Thomas Garel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-03-08T13:46:44Z","title":"Random walk in a two-dimensional self-affine random potential : properties of the anomalous diffusion phase at small external force"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1627","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":"sha256:0d937793e69cc11aa249b2e7317e316fe3e11bf1fe09b33a2e3ad09855980b12","target":"record","created_at":"2026-05-18T04:41:43Z","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":"5ff6a792e4c223bfde127756c76f33c2e3bce1cfaa575b3063e9265728adb795","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-03-08T13:46:44Z","title_canon_sha256":"39266bd5147d38df878b8f5d52b5fdeb6e91f765ec0f54dd9787f6b97ee75e3d"},"schema_version":"1.0","source":{"id":"1003.1627","kind":"arxiv","version":2}},"canonical_sha256":"c2cfeb88e33c9fc6cf1631d05b24355ed05513c308ab253be9bb53efb7f2c0ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2cfeb88e33c9fc6cf1631d05b24355ed05513c308ab253be9bb53efb7f2c0ce","first_computed_at":"2026-05-18T04:41:43.931252Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:43.931252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yw+tvNWcVvp1VTNwGM/djk4UoADO+zqDwpUEVW23sQwvTb7aXF1oVsjbtuxAe9ZFKmcSh3bhLrMqLp+rM5caAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:43.931768Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.1627","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d937793e69cc11aa249b2e7317e316fe3e11bf1fe09b33a2e3ad09855980b12","sha256:e33cd6bd572491bd112e248c1b8f2d9a4c7f541f28729e2325b52075642ae7ab"],"state_sha256":"bef634324398e7581e2e9ee985fc6edfd816784364273b51e2b54225efea8896"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IQGV4UhOjHOOo6gHW1xrhPdi7AxohxO4NocODGTI0hbODOuRhcbVl9A8UPPJwxQ/qesu+BVMIzlsHBvP4gj3Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T22:54:48.253729Z","bundle_sha256":"cb350f0970161c8a078ab216772df4a190a78eb2252b5eec3b4e2aedce852362"}}