{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:AYCZDRXFFIIQZAZLJMX3N7EG6P","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":"47b4c1c4c4d212b1ebd7e6a34e92a3b14b6fcaa6218b788187defdabb0bbe63d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-05-19T10:57:28Z","title_canon_sha256":"01deb71c0c2dc4cd48bd7bed51a71b9217c0632963361216f4a5f1f2bff74bf2"},"schema_version":"1.0","source":{"id":"1005.3410","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.3410","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"1005.3410v2","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3410","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"AYCZDRXFFIIQ","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"AYCZDRXFFIIQZAZL","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"AYCZDRXF","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:4ede14b6288ee372113a59aac92b19d253c2da0d7b896fe3d7e1a06a3d06e5fd","target":"graph","created_at":"2026-05-18T04:24:06Z","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 random walk on one-dimensional inhomogeneous graphs built from Cantor fractals. Our study is motivated by recent experiments that demonstrated superdiffusion of light in complex disordered materials, thereby termed L\\'evy glasses. We introduce a geometric parameter $\\alpha$ which plays a role analogous to the exponent characterizing the step length distribution in random systems. We study the large-time behavior of both local and average observables; for the latter case, we distinguish two different types of averages, respectively over the set of all initial sites and over the sc","authors_text":"A. Vezzani, L. Caniparoli, R. Burioni, S. Lepri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-05-19T10:57:28Z","title":"Local and average behavior in inhomogeneous superdiffusive media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3410","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":"sha256:235220f934f48fa8112133058b9751b74a8b159a54b50d3c89da041763495bac","target":"record","created_at":"2026-05-18T04:24:06Z","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":"47b4c1c4c4d212b1ebd7e6a34e92a3b14b6fcaa6218b788187defdabb0bbe63d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-05-19T10:57:28Z","title_canon_sha256":"01deb71c0c2dc4cd48bd7bed51a71b9217c0632963361216f4a5f1f2bff74bf2"},"schema_version":"1.0","source":{"id":"1005.3410","kind":"arxiv","version":2}},"canonical_sha256":"060591c6e52a110c832b4b2fb6fc86f3c49a00ba9154eb18438a9691cf38a500","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"060591c6e52a110c832b4b2fb6fc86f3c49a00ba9154eb18438a9691cf38a500","first_computed_at":"2026-05-18T04:24:06.298209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:06.298209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"loetgt4GrfE8bAMhC6qjuuErScn0Ow4yJ1qt4leZfsulAJWxScG9pmtxjPRPeu9eV9i4QTRzWB5+KBqetFGnBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:06.298724Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.3410","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:235220f934f48fa8112133058b9751b74a8b159a54b50d3c89da041763495bac","sha256:4ede14b6288ee372113a59aac92b19d253c2da0d7b896fe3d7e1a06a3d06e5fd"],"state_sha256":"0ec214c09b10d04922700956b6b309e9193c41155770f4985103de354152f252"}