{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:P7SN3HBQRRO2DQXNRY6VNVQ564","short_pith_number":"pith:P7SN3HBQ","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"},"canonical_sha256":"7fe4dd9c308c5da1c2ed8e3d56d61df728a3f37552c0d1898c09ed03c985edec","source":{"kind":"arxiv","id":"1104.1817","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1817","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1817v4","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1817","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"pith_short_12","alias_value":"P7SN3HBQRRO2","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"P7SN3HBQRRO2DQXN","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"P7SN3HBQ","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:P7SN3HBQRRO2DQXNRY6VNVQ564","target":"record","payload":{"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"},"canonical_sha256":"7fe4dd9c308c5da1c2ed8e3d56d61df728a3f37552c0d1898c09ed03c985edec","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"},"source_kind":"arxiv","source_id":"1104.1817","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IxP+j6DQKXIHlGxKItEd5Rbh4UbUTYMR7hWocOmqSEvFkK8LwyI/Luk8kLIgb0edTRBhlSsayHeK51wQtGDrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:06:44.823450Z"},"content_sha256":"4fe381433a11077ae1bb04ad6e85afe2d5d2ef4365b3eba37bf11eca3ff9573d","schema_version":"1.0","event_id":"sha256:4fe381433a11077ae1bb04ad6e85afe2d5d2ef4365b3eba37bf11eca3ff9573d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:P7SN3HBQRRO2DQXNRY6VNVQ564","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zHw27N/E5sdWwUBLNsA5Y5dT0YYUrAOq8nWEEb4isMiCfHa98kEYQaLG6bRJh07c83+DCW+TLiUNTWuoV1M8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:06:44.823803Z"},"content_sha256":"a4bc774c7d336e16468dfb0d61f4f4e2cdb2bfadf5d732a96975bfe5702a61ea","schema_version":"1.0","event_id":"sha256:a4bc774c7d336e16468dfb0d61f4f4e2cdb2bfadf5d732a96975bfe5702a61ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564/bundle.json","state_url":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P7SN3HBQRRO2DQXNRY6VNVQ564/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":"2026-06-02T11:06:44Z","links":{"resolver":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564","bundle":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564/bundle.json","state":"https://pith.science/pith/P7SN3HBQRRO2DQXNRY6VNVQ564/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P7SN3HBQRRO2DQXNRY6VNVQ564/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:P7SN3HBQRRO2DQXNRY6VNVQ564","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":"5906d7a06cf06e4dfa6b2b5db3967dd96409462ca39c5ae34967defe6750a7f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-10T23:57:38Z","title_canon_sha256":"9da4503468b1bf972c06a06f3b41a36474b03a96f22f010cf2b894055c76eaea"},"schema_version":"1.0","source":{"id":"1104.1817","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1817","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1817v4","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1817","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"pith_short_12","alias_value":"P7SN3HBQRRO2","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"P7SN3HBQRRO2DQXN","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"P7SN3HBQ","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:a4bc774c7d336e16468dfb0d61f4f4e2cdb2bfadf5d732a96975bfe5702a61ea","target":"graph","created_at":"2026-05-18T02:22:10Z","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 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","authors_text":"Alessandro Vezzani, Pierfrancesco Buonsante, Raffaella Burioni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-10T23:57:38Z","title":"Transport and Scaling in Quenched 2D and 3D L\\'evy Quasicrystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1817","kind":"arxiv","version":4},"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":"sha256:4fe381433a11077ae1bb04ad6e85afe2d5d2ef4365b3eba37bf11eca3ff9573d","target":"record","created_at":"2026-05-18T02:22:10Z","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":"5906d7a06cf06e4dfa6b2b5db3967dd96409462ca39c5ae34967defe6750a7f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-10T23:57:38Z","title_canon_sha256":"9da4503468b1bf972c06a06f3b41a36474b03a96f22f010cf2b894055c76eaea"},"schema_version":"1.0","source":{"id":"1104.1817","kind":"arxiv","version":4}},"canonical_sha256":"7fe4dd9c308c5da1c2ed8e3d56d61df728a3f37552c0d1898c09ed03c985edec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fe4dd9c308c5da1c2ed8e3d56d61df728a3f37552c0d1898c09ed03c985edec","first_computed_at":"2026-05-18T02:22:10.141746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:10.141746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hfpY/gEgKGjA21QuYdDEEt10jmjn4nYN2k/dAqLHCVP5lBqu+xWgZSt0p7RnKh2eFpUrNLsY3Kqv4O2w6DXUAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:10.142278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1817","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fe381433a11077ae1bb04ad6e85afe2d5d2ef4365b3eba37bf11eca3ff9573d","sha256:a4bc774c7d336e16468dfb0d61f4f4e2cdb2bfadf5d732a96975bfe5702a61ea"],"state_sha256":"b24aba988a8786f3c80f8d07b2cc4e9f511f4914c2772099f158be23c0f9468e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LU9kGVXkuz3c9wrj1MVqnTQvZ/yTAZTE5ZXp4MmHq2Pif9jJLKjxWnPO8o39W+SB7bzbeCbsbH9+7NYFxUBTBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T11:06:44.825831Z","bundle_sha256":"3fd804c4e13e9431b21f1e3ea91ea6fa61d7531dd64641bcfdff402332634242"}}