{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:JOK2GMLB3F5KZ223MFRCN3UBTL","short_pith_number":"pith:JOK2GMLB","canonical_record":{"source":{"id":"1902.09688","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-02-26T01:18:08Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2618ee6a13a6ed9d96a7c77b8e06da162650a838b5e92850c5ffdfdc33456066","abstract_canon_sha256":"2a8b11182312fb8948b0594bb1dc43c5953d6b8e879c8e102bb10c133344232e"},"schema_version":"1.0"},"canonical_sha256":"4b95a33161d97aaceb5b616226ee819afb582b2b0f2dac7be635aa3d637601cf","source":{"kind":"arxiv","id":"1902.09688","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09688","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09688v1","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09688","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"pith_short_12","alias_value":"JOK2GMLB3F5K","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"JOK2GMLB3F5KZ223","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"JOK2GMLB","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:JOK2GMLB3F5KZ223MFRCN3UBTL","target":"record","payload":{"canonical_record":{"source":{"id":"1902.09688","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-02-26T01:18:08Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2618ee6a13a6ed9d96a7c77b8e06da162650a838b5e92850c5ffdfdc33456066","abstract_canon_sha256":"2a8b11182312fb8948b0594bb1dc43c5953d6b8e879c8e102bb10c133344232e"},"schema_version":"1.0"},"canonical_sha256":"4b95a33161d97aaceb5b616226ee819afb582b2b0f2dac7be635aa3d637601cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:19.092147Z","signature_b64":"3pPeoXFbMICJWOinVfMUP3VMkgjzvhYdfxyz+ZbT/Fc/iLyhK+HWG4LwW0g0yjrvzpGgljY76KpV+Nk/JlffAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b95a33161d97aaceb5b616226ee819afb582b2b0f2dac7be635aa3d637601cf","last_reissued_at":"2026-05-17T23:50:19.091507Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:19.091507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.09688","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SiPyOQSRDvkHz+5A3+vT/Ksg06at1GxDxETttjdZWslibcGfgb6BWOiLuPGLIAAVDS9ZdLKqjF53P9K1BbxXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:38:04.316040Z"},"content_sha256":"1a502b6510dbad0b84577af20e17500d7303568b69af1cbf812a8638ac4203d5","schema_version":"1.0","event_id":"sha256:1a502b6510dbad0b84577af20e17500d7303568b69af1cbf812a8638ac4203d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:JOK2GMLB3F5KZ223MFRCN3UBTL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dirac wave transmission in L\\'evy disordered systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.mes-hall","authors_text":"Anderson L. R. Barbosa, Jonas R. F. Lima, Luiz Felipe C. Pereira","submitted_at":"2019-02-26T01:18:08Z","abstract_excerpt":"We investigate the propagation of electronic waves described by the Dirac equation subject to a L\\'evy-type disorder distribution. Our numerical calculations, based on the transfer matrix method, in a system with a distribution of potential barriers show that it presents a phase transition from anomalous to standard to anomalous localization as the incidence energy increases. In contrast, electronic waves described by the Schr\\\"odinger equation do not present such transitions. Moreover, we obtain the phase diagram delimiting anomalous and standard localization regimes, in the form of an incide"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09688","kind":"arxiv","version":1},"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":"2026-05-17T23:50:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S/rm0LsycsKSNPm2ZXhm2UJudfUKZHdx4EB7TmCHNhrUjDX+0xkgVIPI9BOeS4IfDjv6dnNCeYXxZCLDAmvkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:38:04.316618Z"},"content_sha256":"c1f653ecdb4b070825799935b544590a180c39ede710a0e92df20f01332f1362","schema_version":"1.0","event_id":"sha256:c1f653ecdb4b070825799935b544590a180c39ede710a0e92df20f01332f1362"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JOK2GMLB3F5KZ223MFRCN3UBTL/bundle.json","state_url":"https://pith.science/pith/JOK2GMLB3F5KZ223MFRCN3UBTL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JOK2GMLB3F5KZ223MFRCN3UBTL/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":"2026-05-26T15:38:04Z","links":{"resolver":"https://pith.science/pith/JOK2GMLB3F5KZ223MFRCN3UBTL","bundle":"https://pith.science/pith/JOK2GMLB3F5KZ223MFRCN3UBTL/bundle.json","state":"https://pith.science/pith/JOK2GMLB3F5KZ223MFRCN3UBTL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JOK2GMLB3F5KZ223MFRCN3UBTL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JOK2GMLB3F5KZ223MFRCN3UBTL","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":"2a8b11182312fb8948b0594bb1dc43c5953d6b8e879c8e102bb10c133344232e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-02-26T01:18:08Z","title_canon_sha256":"2618ee6a13a6ed9d96a7c77b8e06da162650a838b5e92850c5ffdfdc33456066"},"schema_version":"1.0","source":{"id":"1902.09688","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09688","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09688v1","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09688","created_at":"2026-05-17T23:50:19Z"},{"alias_kind":"pith_short_12","alias_value":"JOK2GMLB3F5K","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"JOK2GMLB3F5KZ223","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"JOK2GMLB","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:c1f653ecdb4b070825799935b544590a180c39ede710a0e92df20f01332f1362","target":"graph","created_at":"2026-05-17T23:50:19Z","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 investigate the propagation of electronic waves described by the Dirac equation subject to a L\\'evy-type disorder distribution. Our numerical calculations, based on the transfer matrix method, in a system with a distribution of potential barriers show that it presents a phase transition from anomalous to standard to anomalous localization as the incidence energy increases. In contrast, electronic waves described by the Schr\\\"odinger equation do not present such transitions. Moreover, we obtain the phase diagram delimiting anomalous and standard localization regimes, in the form of an incide","authors_text":"Anderson L. R. Barbosa, Jonas R. F. Lima, Luiz Felipe C. Pereira","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-02-26T01:18:08Z","title":"Dirac wave transmission in L\\'evy disordered systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09688","kind":"arxiv","version":1},"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":"sha256:1a502b6510dbad0b84577af20e17500d7303568b69af1cbf812a8638ac4203d5","target":"record","created_at":"2026-05-17T23:50:19Z","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":"2a8b11182312fb8948b0594bb1dc43c5953d6b8e879c8e102bb10c133344232e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2019-02-26T01:18:08Z","title_canon_sha256":"2618ee6a13a6ed9d96a7c77b8e06da162650a838b5e92850c5ffdfdc33456066"},"schema_version":"1.0","source":{"id":"1902.09688","kind":"arxiv","version":1}},"canonical_sha256":"4b95a33161d97aaceb5b616226ee819afb582b2b0f2dac7be635aa3d637601cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b95a33161d97aaceb5b616226ee819afb582b2b0f2dac7be635aa3d637601cf","first_computed_at":"2026-05-17T23:50:19.091507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:19.091507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3pPeoXFbMICJWOinVfMUP3VMkgjzvhYdfxyz+ZbT/Fc/iLyhK+HWG4LwW0g0yjrvzpGgljY76KpV+Nk/JlffAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:19.092147Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.09688","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a502b6510dbad0b84577af20e17500d7303568b69af1cbf812a8638ac4203d5","sha256:c1f653ecdb4b070825799935b544590a180c39ede710a0e92df20f01332f1362"],"state_sha256":"acb8f5d301179327b6eee1f1bf8c21931241e780988b093efb9f7ba9815dc058"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+pR0blxGKpcuy2lv+VXWEoPAkuB5R9RCv5vyDhiDpAVaiXYnym/HDJwcYqrJms6XUVMthXobOEkKVehnHYRaAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T15:38:04.320029Z","bundle_sha256":"d78999e437c25b65b9f383a1a762634475635829abfecc3ca608b39d86a09c94"}}