{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:P7SN3HBQRRO2DQXNRY6VNVQ564","short_pith_number":"pith:P7SN3HBQ","schema_version":"1.0","canonical_sha256":"7fe4dd9c308c5da1c2ed8e3d56d61df728a3f37552c0d1898c09ed03c985edec","source":{"kind":"arxiv","id":"1104.1817","version":4},"attestation_state":"computed","paper":{"title":"Transport and Scaling in Quenched 2D and 3D L\\'evy Quasicrystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alessandro Vezzani, Pierfrancesco Buonsante, Raffaella Burioni","submitted_at":"2011-04-10T23:57:38Z","abstract_excerpt":"We consider correlated L\\'evy walks on a class of two- and three-dimensional deterministic self-similar structures, with correlation between steps induced by the geometrical distribution of regions, featuring different diffusion properties. We introduce a geometric parameter $\\alpha$, playing a role analogous to the exponent characterizing the step-length distribution in random systems. By a {\\it single-long jump} approximation, we analytically determine the long-time asymptotic behavior of the moments of the probability distribution, as a function of $\\alpha$ and of the dynamic exponent $z$ a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1104.1817","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-10T23:57:38Z","cross_cats_sorted":[],"title_canon_sha256":"9da4503468b1bf972c06a06f3b41a36474b03a96f22f010cf2b894055c76eaea","abstract_canon_sha256":"5906d7a06cf06e4dfa6b2b5db3967dd96409462ca39c5ae34967defe6750a7f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:10.142278Z","signature_b64":"hfpY/gEgKGjA21QuYdDEEt10jmjn4nYN2k/dAqLHCVP5lBqu+xWgZSt0p7RnKh2eFpUrNLsY3Kqv4O2w6DXUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fe4dd9c308c5da1c2ed8e3d56d61df728a3f37552c0d1898c09ed03c985edec","last_reissued_at":"2026-05-18T02:22:10.141746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:10.141746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transport and Scaling in Quenched 2D and 3D L\\'evy Quasicrystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alessandro Vezzani, Pierfrancesco Buonsante, Raffaella Burioni","submitted_at":"2011-04-10T23:57:38Z","abstract_excerpt":"We consider correlated L\\'evy walks on a class of two- and three-dimensional deterministic self-similar structures, with correlation between steps induced by the geometrical distribution of regions, featuring different diffusion properties. We introduce a geometric parameter $\\alpha$, playing a role analogous to the exponent characterizing the step-length distribution in random systems. By a {\\it single-long jump} approximation, we analytically determine the long-time asymptotic behavior of the moments of the probability distribution, as a function of $\\alpha$ and of the dynamic exponent $z$ a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1817","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1104.1817","created_at":"2026-05-18T02:22:10.141831+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.1817v4","created_at":"2026-05-18T02:22:10.141831+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1817","created_at":"2026-05-18T02:22:10.141831+00:00"},{"alias_kind":"pith_short_12","alias_value":"P7SN3HBQRRO2","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"P7SN3HBQRRO2DQXN","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"P7SN3HBQ","created_at":"2026-05-18T12:26:39.201973+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564","json":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564.json","graph_json":"https://pith.science/api/pith-number/P7SN3HBQRRO2DQXNRY6VNVQ564/graph.json","events_json":"https://pith.science/api/pith-number/P7SN3HBQRRO2DQXNRY6VNVQ564/events.json","paper":"https://pith.science/paper/P7SN3HBQ"},"agent_actions":{"view_html":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564","download_json":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564.json","view_paper":"https://pith.science/paper/P7SN3HBQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.1817&json=true","fetch_graph":"https://pith.science/api/pith-number/P7SN3HBQRRO2DQXNRY6VNVQ564/graph.json","fetch_events":"https://pith.science/api/pith-number/P7SN3HBQRRO2DQXNRY6VNVQ564/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564/action/storage_attestation","attest_author":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564/action/author_attestation","sign_citation":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564/action/citation_signature","submit_replication":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564/action/replication_record"}},"created_at":"2026-05-18T02:22:10.141831+00:00","updated_at":"2026-05-18T02:22:10.141831+00:00"}