{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HMSHX2AEOKS2JVPPYQAUZXXTHQ","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":"15b33254f33730005c5e7ba5cc9d3a7fa5598c275e6379dd5dd7f3a688700470","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-09-02T12:47:23Z","title_canon_sha256":"b320fdc9e6affa818bba8debc81bed5ccfb8dc1b311de35f3adb9e7b992d6ab1"},"schema_version":"1.0","source":{"id":"1009.0412","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.0412","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"arxiv_version","alias_value":"1009.0412v2","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.0412","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"pith_short_12","alias_value":"HMSHX2AEOKS2","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HMSHX2AEOKS2JVPP","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HMSHX2AE","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:1ab3facc84caa1346b1a0283ef7ba2eb3a63887f27315b2ab9e64975863a2d8a","target":"graph","created_at":"2026-05-18T04:40:08Z","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":"The generalization of the Dorokhov-Mello-Pereyra-Kumar equation for the description of transport in strongly disordered systems replaces the symmetry parameter $\\beta$ by a new parameter $\\gamma$, which decreases to zero when the disorder strength increases. We show numerically that although the value of $\\gamma$ strongly influences the statistical properties of transport parameters $\\Delta$ and of the energy level statistics, the form of their distributions always depends on the symmetry parameter $\\beta$ even in the limit of strong disorder. In particular, the probability distribution is $p(","authors_text":"L. Schweitzer, P. Markos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-09-02T12:47:23Z","title":"On the role of the symmetry parameter $\\beta$ in the strongly localized regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.0412","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:cb4383563548cc495d4401aae4217902c6216578a03d56cfdb403e4c90eb63e8","target":"record","created_at":"2026-05-18T04:40:08Z","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":"15b33254f33730005c5e7ba5cc9d3a7fa5598c275e6379dd5dd7f3a688700470","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-09-02T12:47:23Z","title_canon_sha256":"b320fdc9e6affa818bba8debc81bed5ccfb8dc1b311de35f3adb9e7b992d6ab1"},"schema_version":"1.0","source":{"id":"1009.0412","kind":"arxiv","version":2}},"canonical_sha256":"3b247be80472a5a4d5efc4014cdef33c1ae775e3e2cafd186eb9334c752224f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b247be80472a5a4d5efc4014cdef33c1ae775e3e2cafd186eb9334c752224f8","first_computed_at":"2026-05-18T04:40:08.121304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:08.121304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z57q8iuqtEjQuLZLdJDGFgtAX7Vn4RYb7OUS0BuniuKqufPqXdXboLPJ9Crvu3AvynOFqNGk2kl+CPWCBEckBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:08.121840Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.0412","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb4383563548cc495d4401aae4217902c6216578a03d56cfdb403e4c90eb63e8","sha256:1ab3facc84caa1346b1a0283ef7ba2eb3a63887f27315b2ab9e64975863a2d8a"],"state_sha256":"c733c2be494b499d973b6617674d61509af857217c806d7a8aac1d9b58e9cfab"}