{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3CAS6NHJAP4IGZUPYPIYLTCMEB","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":"ca35249b5edfe980e72f6adf5f29aad9df8a29605cd0d8af7e3cd065ea51944c","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-08-16T15:46:34Z","title_canon_sha256":"e2a234c93a27e061e056fe21c5882948b4fd12e13312cf04af7dfea16cd64f16"},"schema_version":"1.0","source":{"id":"1008.2694","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2694","created_at":"2026-05-18T04:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2694v1","created_at":"2026-05-18T04:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2694","created_at":"2026-05-18T04:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"3CAS6NHJAP4I","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3CAS6NHJAP4IGZUP","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3CAS6NHJ","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:e1891d5fa0bf5a4e182f75dd7320610b4bc5dacdcdee4dda1bd9d1ab2b954ee5","target":"graph","created_at":"2026-05-18T04:38:39Z","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 dynamical scaling for statistics of critical multifractal eigenstates proposed by Chalker is analytically verified for the critical random matrix ensemble in the limit of strong multifractality controlled by the small parameter $b\\ll 1$. The power law behavior of the quantum return probability $P_{N}(\\tau)$ as a function of the matrix size $N$ or time $\\tau$ is confirmed in the limits $\\tau/N\\rightarrow\\infty$ and $N/\\tau\\rightarrow\\infty$, respectively, and it is shown that the exponents characterizing these power laws are equal to each other up to the order $b^{2}$. The corresponding ana","authors_text":"A. Ossipov, E. Cuevas, O.M. Yevtushenko, V.E. Kravtsov","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-08-16T15:46:34Z","title":"Dynamical scaling for critical states: is Chalker's ansatz valid for strong fractality?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2694","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":"sha256:281acf551e9361c312e5f15734f7960614fd099da420abf94245a6b45c2d5394","target":"record","created_at":"2026-05-18T04:38:39Z","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":"ca35249b5edfe980e72f6adf5f29aad9df8a29605cd0d8af7e3cd065ea51944c","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-08-16T15:46:34Z","title_canon_sha256":"e2a234c93a27e061e056fe21c5882948b4fd12e13312cf04af7dfea16cd64f16"},"schema_version":"1.0","source":{"id":"1008.2694","kind":"arxiv","version":1}},"canonical_sha256":"d8812f34e903f883668fc3d185cc4c20481d04bafa77c88c4dd9a76b749f4eb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8812f34e903f883668fc3d185cc4c20481d04bafa77c88c4dd9a76b749f4eb4","first_computed_at":"2026-05-18T04:38:39.509514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:39.509514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HQpO3aIX6mSyYZOsRc/j/1iC/XHj1z0FP00BqGlIU5WDIlMft7xdPu2hjIcwKhhQsxVAgcdrwlHmopcfo7KdDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:39.510271Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.2694","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:281acf551e9361c312e5f15734f7960614fd099da420abf94245a6b45c2d5394","sha256:e1891d5fa0bf5a4e182f75dd7320610b4bc5dacdcdee4dda1bd9d1ab2b954ee5"],"state_sha256":"195b1bee0a116aeef4173d613895b3fc205710b6b1279e398ff9c749a289c7ba"}