{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RMG4RRCXCTQEPFY5ASN4K2BKYZ","short_pith_number":"pith:RMG4RRCX","canonical_record":{"source":{"id":"1301.3487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-01-15T20:57:34Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"bb02151d287751b1298a7b88388b4fa65b9d25b505103b1382fa546052823f93","abstract_canon_sha256":"26c1515de68b9d01a8b98c3d1b0cff664dbc336aa5eafc38aed43a4f14124d18"},"schema_version":"1.0"},"canonical_sha256":"8b0dc8c45714e047971d049bc5682ac66999064528f0286667812636db410144","source":{"kind":"arxiv","id":"1301.3487","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3487","created_at":"2026-05-18T03:14:30Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3487v1","created_at":"2026-05-18T03:14:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3487","created_at":"2026-05-18T03:14:30Z"},{"alias_kind":"pith_short_12","alias_value":"RMG4RRCXCTQE","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RMG4RRCXCTQEPFY5","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RMG4RRCX","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RMG4RRCXCTQEPFY5ASN4K2BKYZ","target":"record","payload":{"canonical_record":{"source":{"id":"1301.3487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-01-15T20:57:34Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"bb02151d287751b1298a7b88388b4fa65b9d25b505103b1382fa546052823f93","abstract_canon_sha256":"26c1515de68b9d01a8b98c3d1b0cff664dbc336aa5eafc38aed43a4f14124d18"},"schema_version":"1.0"},"canonical_sha256":"8b0dc8c45714e047971d049bc5682ac66999064528f0286667812636db410144","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:30.422899Z","signature_b64":"La8bU6C/jZczz8UGDPCxnKnwdYw4s1OltLdAQfnj9QXpes4sKft1rKCQKdnSc29EK3ql99pdpV7FFf85ysXPAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b0dc8c45714e047971d049bc5682ac66999064528f0286667812636db410144","last_reissued_at":"2026-05-18T03:14:30.422489Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:30.422489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.3487","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":"2026-05-18T03:14:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Clcp3bRIWmlTAFUJAn9NKRJlzHhG92T5FMn3N839QT3R9ARuJHaFH4ICmyHXXoXv45VYFeWYgPDj6mllkzQ2AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:22:53.609132Z"},"content_sha256":"4fa2d7b383615f91631ec3716ed733a5156cfc0a63889fc6e69424e1502110be","schema_version":"1.0","event_id":"sha256:4fa2d7b383615f91631ec3716ed733a5156cfc0a63889fc6e69424e1502110be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RMG4RRCXCTQEPFY5ASN4K2BKYZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical localization in kicked rotator as a paradigm of other systems: spectral statistics and the localization measure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"nlin.CD","authors_text":"Marko Robnik, Thanos Manos","submitted_at":"2013-01-15T20:57:34Z","abstract_excerpt":"We study the intermediate statistics of the spectrum of quasi-energies and of the eigenfunctions in the kicked rotator, in the case when the corresponding system is fully chaotic while quantally localized. As for the eigenphases, we find clear evidence that the spectral statistics is well described by the Brody distribution, notably better than by the Izrailev's one, which has been proposed and used broadly to describe such cases. We also studied the eigenfunctions of the Floquet operator and their localization. We show the existence of a scaling law between the repulsion parameter with relati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3487","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":"2026-05-18T03:14:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4j6lUIsvq+8C/9URU8LNDhnhvr+2CbL4kgcs8PwO4KTGeK42xcGyXsJHMUHPO2rEFENg2CrZI2mwwJmEUOeHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:22:53.609687Z"},"content_sha256":"5a2eeb5fce570d3ef8533193d41ba441f16e22929bb3a7b0830794f1ad128dc2","schema_version":"1.0","event_id":"sha256:5a2eeb5fce570d3ef8533193d41ba441f16e22929bb3a7b0830794f1ad128dc2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RMG4RRCXCTQEPFY5ASN4K2BKYZ/bundle.json","state_url":"https://pith.science/pith/RMG4RRCXCTQEPFY5ASN4K2BKYZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RMG4RRCXCTQEPFY5ASN4K2BKYZ/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":"2026-05-31T21:22:53Z","links":{"resolver":"https://pith.science/pith/RMG4RRCXCTQEPFY5ASN4K2BKYZ","bundle":"https://pith.science/pith/RMG4RRCXCTQEPFY5ASN4K2BKYZ/bundle.json","state":"https://pith.science/pith/RMG4RRCXCTQEPFY5ASN4K2BKYZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RMG4RRCXCTQEPFY5ASN4K2BKYZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RMG4RRCXCTQEPFY5ASN4K2BKYZ","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":"26c1515de68b9d01a8b98c3d1b0cff664dbc336aa5eafc38aed43a4f14124d18","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-01-15T20:57:34Z","title_canon_sha256":"bb02151d287751b1298a7b88388b4fa65b9d25b505103b1382fa546052823f93"},"schema_version":"1.0","source":{"id":"1301.3487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3487","created_at":"2026-05-18T03:14:30Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3487v1","created_at":"2026-05-18T03:14:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3487","created_at":"2026-05-18T03:14:30Z"},{"alias_kind":"pith_short_12","alias_value":"RMG4RRCXCTQE","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RMG4RRCXCTQEPFY5","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RMG4RRCX","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:5a2eeb5fce570d3ef8533193d41ba441f16e22929bb3a7b0830794f1ad128dc2","target":"graph","created_at":"2026-05-18T03:14:30Z","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 study the intermediate statistics of the spectrum of quasi-energies and of the eigenfunctions in the kicked rotator, in the case when the corresponding system is fully chaotic while quantally localized. As for the eigenphases, we find clear evidence that the spectral statistics is well described by the Brody distribution, notably better than by the Izrailev's one, which has been proposed and used broadly to describe such cases. We also studied the eigenfunctions of the Floquet operator and their localization. We show the existence of a scaling law between the repulsion parameter with relati","authors_text":"Marko Robnik, Thanos Manos","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-01-15T20:57:34Z","title":"Dynamical localization in kicked rotator as a paradigm of other systems: spectral statistics and the localization measure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3487","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":"sha256:4fa2d7b383615f91631ec3716ed733a5156cfc0a63889fc6e69424e1502110be","target":"record","created_at":"2026-05-18T03:14:30Z","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":"26c1515de68b9d01a8b98c3d1b0cff664dbc336aa5eafc38aed43a4f14124d18","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-01-15T20:57:34Z","title_canon_sha256":"bb02151d287751b1298a7b88388b4fa65b9d25b505103b1382fa546052823f93"},"schema_version":"1.0","source":{"id":"1301.3487","kind":"arxiv","version":1}},"canonical_sha256":"8b0dc8c45714e047971d049bc5682ac66999064528f0286667812636db410144","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b0dc8c45714e047971d049bc5682ac66999064528f0286667812636db410144","first_computed_at":"2026-05-18T03:14:30.422489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:30.422489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"La8bU6C/jZczz8UGDPCxnKnwdYw4s1OltLdAQfnj9QXpes4sKft1rKCQKdnSc29EK3ql99pdpV7FFf85ysXPAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:30.422899Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.3487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fa2d7b383615f91631ec3716ed733a5156cfc0a63889fc6e69424e1502110be","sha256:5a2eeb5fce570d3ef8533193d41ba441f16e22929bb3a7b0830794f1ad128dc2"],"state_sha256":"82ed1ed90614fde11b0d0031438c92f333710ac5e1156e81802e3d8dbe72c354"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0IdE8SRKmFBSkHRyM5kcIHw8A8A775mW8B435YjHmgwsPRBeMOMHQ8BXk2vqf1LusP2PRTo7/FzVV8hZE7/PCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:22:53.612356Z","bundle_sha256":"40c413c7c8beffbdcdb813adab1c148e4c328ed9d81a7b24d328ec5f5cd53456"}}