{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:55QT6N5DMIFFSTVHVMCJMGIVIS","short_pith_number":"pith:55QT6N5D","canonical_record":{"source":{"id":"1003.2161","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-10T17:36:39Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"aca40602960bab7319f27eca2af222d5272fb1a0589e1c123e74e75ed9d7ab61","abstract_canon_sha256":"88a662e1a89f2a043013885c6e17c7b3825f6dbfe67251a3eca2244e6df5cece"},"schema_version":"1.0"},"canonical_sha256":"ef613f37a3620a594ea7ab0496191544a2cd04707fe4296c35b4afe0d05c66ef","source":{"kind":"arxiv","id":"1003.2161","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.2161","created_at":"2026-05-18T02:08:35Z"},{"alias_kind":"arxiv_version","alias_value":"1003.2161v3","created_at":"2026-05-18T02:08:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2161","created_at":"2026-05-18T02:08:35Z"},{"alias_kind":"pith_short_12","alias_value":"55QT6N5DMIFF","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"55QT6N5DMIFFSTVH","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"55QT6N5D","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:55QT6N5DMIFFSTVHVMCJMGIVIS","target":"record","payload":{"canonical_record":{"source":{"id":"1003.2161","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-10T17:36:39Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"aca40602960bab7319f27eca2af222d5272fb1a0589e1c123e74e75ed9d7ab61","abstract_canon_sha256":"88a662e1a89f2a043013885c6e17c7b3825f6dbfe67251a3eca2244e6df5cece"},"schema_version":"1.0"},"canonical_sha256":"ef613f37a3620a594ea7ab0496191544a2cd04707fe4296c35b4afe0d05c66ef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:35.421436Z","signature_b64":"07GzVkGAOubtFtOfux95olHbUOW/S8C9RM/z7dChtC/wMZSYwE/6rnPI+r1JoosszRcJl28xjGFv0L5z/ITFBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef613f37a3620a594ea7ab0496191544a2cd04707fe4296c35b4afe0d05c66ef","last_reissued_at":"2026-05-18T02:08:35.420892Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:35.420892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.2161","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":"2026-05-18T02:08:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xUR1N7nyDbmB4ezLVonxAyDxx61tK5Fgtak8uOmq278wdbykEwA7FEhJgGB0v+u6yqi91oEnEr6pHiTrkE/fCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T02:00:27.728900Z"},"content_sha256":"3f6838019c0ef41ed7e2740a1619c3f9caea30e0f2f357b24eeb4220a5bbd1a9","schema_version":"1.0","event_id":"sha256:3f6838019c0ef41ed7e2740a1619c3f9caea30e0f2f357b24eeb4220a5bbd1a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:55QT6N5DMIFFSTVHVMCJMGIVIS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"L\\'evy walks and scaling in quenched disordered media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Vezzani, L. Caniparoli, R. Burioni","submitted_at":"2010-03-10T17:36:39Z","abstract_excerpt":"We study L\\'evy walks in quenched disordered one-dimensional media, with scatterers spaced according to a long-tailed distribution. By analyzing the scaling relations for the random-walk probability and for the resistivity in the equivalent electric problem, we obtain the asymptotic behavior of the mean square displacement as a function of the exponent characterizing the scatterers distribution. We demonstrate that in quenched media different average procedures can display different asymptotic behavior. In particular, we estimate the moments of the displacement averaged over processes starting"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2161","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":"2026-05-18T02:08:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"46eUMWKblb+6Cxb73cAKssGdBPF49Lnmzp7sJS7ivtKX/FAeHofPx49uG+FbjMdVDL7LvtfafaG/l6v787GzAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T02:00:27.729629Z"},"content_sha256":"f7ef228de73606530ea82b216612821a1c9edffd9716696a7d7642fc20589c88","schema_version":"1.0","event_id":"sha256:f7ef228de73606530ea82b216612821a1c9edffd9716696a7d7642fc20589c88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/55QT6N5DMIFFSTVHVMCJMGIVIS/bundle.json","state_url":"https://pith.science/pith/55QT6N5DMIFFSTVHVMCJMGIVIS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/55QT6N5DMIFFSTVHVMCJMGIVIS/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":"2026-06-08T02:00:27Z","links":{"resolver":"https://pith.science/pith/55QT6N5DMIFFSTVHVMCJMGIVIS","bundle":"https://pith.science/pith/55QT6N5DMIFFSTVHVMCJMGIVIS/bundle.json","state":"https://pith.science/pith/55QT6N5DMIFFSTVHVMCJMGIVIS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/55QT6N5DMIFFSTVHVMCJMGIVIS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:55QT6N5DMIFFSTVHVMCJMGIVIS","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":"88a662e1a89f2a043013885c6e17c7b3825f6dbfe67251a3eca2244e6df5cece","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-10T17:36:39Z","title_canon_sha256":"aca40602960bab7319f27eca2af222d5272fb1a0589e1c123e74e75ed9d7ab61"},"schema_version":"1.0","source":{"id":"1003.2161","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.2161","created_at":"2026-05-18T02:08:35Z"},{"alias_kind":"arxiv_version","alias_value":"1003.2161v3","created_at":"2026-05-18T02:08:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2161","created_at":"2026-05-18T02:08:35Z"},{"alias_kind":"pith_short_12","alias_value":"55QT6N5DMIFF","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"55QT6N5DMIFFSTVH","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"55QT6N5D","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:f7ef228de73606530ea82b216612821a1c9edffd9716696a7d7642fc20589c88","target":"graph","created_at":"2026-05-18T02:08:35Z","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 L\\'evy walks in quenched disordered one-dimensional media, with scatterers spaced according to a long-tailed distribution. By analyzing the scaling relations for the random-walk probability and for the resistivity in the equivalent electric problem, we obtain the asymptotic behavior of the mean square displacement as a function of the exponent characterizing the scatterers distribution. We demonstrate that in quenched media different average procedures can display different asymptotic behavior. In particular, we estimate the moments of the displacement averaged over processes starting","authors_text":"A. Vezzani, L. Caniparoli, R. Burioni","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-10T17:36:39Z","title":"L\\'evy walks and scaling in quenched disordered media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2161","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":"sha256:3f6838019c0ef41ed7e2740a1619c3f9caea30e0f2f357b24eeb4220a5bbd1a9","target":"record","created_at":"2026-05-18T02:08:35Z","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":"88a662e1a89f2a043013885c6e17c7b3825f6dbfe67251a3eca2244e6df5cece","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-10T17:36:39Z","title_canon_sha256":"aca40602960bab7319f27eca2af222d5272fb1a0589e1c123e74e75ed9d7ab61"},"schema_version":"1.0","source":{"id":"1003.2161","kind":"arxiv","version":3}},"canonical_sha256":"ef613f37a3620a594ea7ab0496191544a2cd04707fe4296c35b4afe0d05c66ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef613f37a3620a594ea7ab0496191544a2cd04707fe4296c35b4afe0d05c66ef","first_computed_at":"2026-05-18T02:08:35.420892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:35.420892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"07GzVkGAOubtFtOfux95olHbUOW/S8C9RM/z7dChtC/wMZSYwE/6rnPI+r1JoosszRcJl28xjGFv0L5z/ITFBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:35.421436Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.2161","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f6838019c0ef41ed7e2740a1619c3f9caea30e0f2f357b24eeb4220a5bbd1a9","sha256:f7ef228de73606530ea82b216612821a1c9edffd9716696a7d7642fc20589c88"],"state_sha256":"2bcddb1f569c06972b177be9508948358e5d9a44f8a8752b4130554190a5b3c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0v/1kc91O2eULDm6pgGywm4pNjgOaFLzF/60Se9Mz4a1S7g97wswzT3hUw9ZWU4DiZ8NVOwMQfoJKBdaMGidAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T02:00:27.733143Z","bundle_sha256":"64d748e54d5e6608b5131d5dfbd7ec8ac13d8d6abd0f193e861776138b6351bd"}}