{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:TU7V5LSTMFZP2TBYA4MYYC4FK2","short_pith_number":"pith:TU7V5LST","canonical_record":{"source":{"id":"chao-dyn/9501016","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"chao-dyn","submitted_at":"1995-01-29T14:42:51Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"03beeb99035fd0aa05d0dd97535e18337f9dccfc1c9b5e91c711fb3ac64c2382","abstract_canon_sha256":"b14426e35ea0ac810945d6e5fa1284717f74572e6fafdd13333e65fddc54fcbd"},"schema_version":"1.0"},"canonical_sha256":"9d3f5eae536172fd4c3807198c0b855688bc3aa55fe99f0e9c9b43329ecd47d2","source":{"kind":"arxiv","id":"chao-dyn/9501016","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"chao-dyn/9501016","created_at":"2026-07-04T15:58:11Z"},{"alias_kind":"arxiv_version","alias_value":"chao-dyn/9501016v1","created_at":"2026-07-04T15:58:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.chao-dyn/9501016","created_at":"2026-07-04T15:58:11Z"},{"alias_kind":"pith_short_12","alias_value":"TU7V5LSTMFZP","created_at":"2026-07-04T15:58:11Z"},{"alias_kind":"pith_short_16","alias_value":"TU7V5LSTMFZP2TBY","created_at":"2026-07-04T15:58:11Z"},{"alias_kind":"pith_short_8","alias_value":"TU7V5LST","created_at":"2026-07-04T15:58:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:TU7V5LSTMFZP2TBYA4MYYC4FK2","target":"record","payload":{"canonical_record":{"source":{"id":"chao-dyn/9501016","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"chao-dyn","submitted_at":"1995-01-29T14:42:51Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"03beeb99035fd0aa05d0dd97535e18337f9dccfc1c9b5e91c711fb3ac64c2382","abstract_canon_sha256":"b14426e35ea0ac810945d6e5fa1284717f74572e6fafdd13333e65fddc54fcbd"},"schema_version":"1.0"},"canonical_sha256":"9d3f5eae536172fd4c3807198c0b855688bc3aa55fe99f0e9c9b43329ecd47d2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:58:11.258939Z","signature_b64":"AVjiHxx767vFCDiaeMtSKr5SvpakrWDNnhcXKwewzqcD0soGdTGfDL/OBP2A62QAI2cK9idFFhGnYU97biU2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d3f5eae536172fd4c3807198c0b855688bc3aa55fe99f0e9c9b43329ecd47d2","last_reissued_at":"2026-07-04T15:58:11.258490Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:58:11.258490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"chao-dyn/9501016","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":"2026-07-04T15:58:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jt9REBh8v6Tapo+z4jgFVJbkRcBR3732/MHPybo+mx1gCihPmwgQytEuoOGMycyXGtMmlHkNCNt6jNzTMHvMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T00:24:37.687247Z"},"content_sha256":"cb2d55b08856065d13e595a3b1c392300dcbe148f7a52d97d0a7ad25a042cb48","schema_version":"1.0","event_id":"sha256:cb2d55b08856065d13e595a3b1c392300dcbe148f7a52d97d0a7ad25a042cb48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:TU7V5LSTMFZP2TBYA4MYYC4FK2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical properties of energy levels of chaotic systems: Wigner or non-Wigner","license":"","headline":"","cross_cats":["nlin.CD"],"primary_cat":"chao-dyn","authors_text":"Dominique Delande (Laboratoire Kastler Brossel ENS, France), Jakub Zakrzewski, Karine Dupret, Paris","submitted_at":"1995-01-29T14:42:51Z","abstract_excerpt":"For systems whose classical dynamics is chaotic, it is generally believed that the local statistical properties of the quantum energy levels are well described by Random Matrix Theory. We present here two counterexamples - the hydrogen atom in a magnetic field and the quartic oscillator - which display nearest neighbor statistics strongly different from the usual Wigner distribution. We interpret the results with a simple model using a set of regular states coupled to a set of chaotic states modeled by a random matrix."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9501016","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/chao-dyn/9501016/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:58:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"53T3GXFZanzyXkJUO16D3DSdB0+epgjtj/FI5E0SiKYyQ/cMREJyQjyok81uBHVJ2ILZFcAmrWlyHuoL1LwNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T00:24:37.688271Z"},"content_sha256":"163274e1c70af2c051bde9d4f9b76397bfd1a4bafab465989aac6282c5debfda","schema_version":"1.0","event_id":"sha256:163274e1c70af2c051bde9d4f9b76397bfd1a4bafab465989aac6282c5debfda"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TU7V5LSTMFZP2TBYA4MYYC4FK2/bundle.json","state_url":"https://pith.science/pith/TU7V5LSTMFZP2TBYA4MYYC4FK2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TU7V5LSTMFZP2TBYA4MYYC4FK2/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":"2026-08-05T00:24:37Z","links":{"resolver":"https://pith.science/pith/TU7V5LSTMFZP2TBYA4MYYC4FK2","bundle":"https://pith.science/pith/TU7V5LSTMFZP2TBYA4MYYC4FK2/bundle.json","state":"https://pith.science/pith/TU7V5LSTMFZP2TBYA4MYYC4FK2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TU7V5LSTMFZP2TBYA4MYYC4FK2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:TU7V5LSTMFZP2TBYA4MYYC4FK2","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":"b14426e35ea0ac810945d6e5fa1284717f74572e6fafdd13333e65fddc54fcbd","cross_cats_sorted":["nlin.CD"],"license":"","primary_cat":"chao-dyn","submitted_at":"1995-01-29T14:42:51Z","title_canon_sha256":"03beeb99035fd0aa05d0dd97535e18337f9dccfc1c9b5e91c711fb3ac64c2382"},"schema_version":"1.0","source":{"id":"chao-dyn/9501016","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"chao-dyn/9501016","created_at":"2026-07-04T15:58:11Z"},{"alias_kind":"arxiv_version","alias_value":"chao-dyn/9501016v1","created_at":"2026-07-04T15:58:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.chao-dyn/9501016","created_at":"2026-07-04T15:58:11Z"},{"alias_kind":"pith_short_12","alias_value":"TU7V5LSTMFZP","created_at":"2026-07-04T15:58:11Z"},{"alias_kind":"pith_short_16","alias_value":"TU7V5LSTMFZP2TBY","created_at":"2026-07-04T15:58:11Z"},{"alias_kind":"pith_short_8","alias_value":"TU7V5LST","created_at":"2026-07-04T15:58:11Z"}],"graph_snapshots":[{"event_id":"sha256:163274e1c70af2c051bde9d4f9b76397bfd1a4bafab465989aac6282c5debfda","target":"graph","created_at":"2026-07-04T15:58:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/chao-dyn/9501016/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For systems whose classical dynamics is chaotic, it is generally believed that the local statistical properties of the quantum energy levels are well described by Random Matrix Theory. We present here two counterexamples - the hydrogen atom in a magnetic field and the quartic oscillator - which display nearest neighbor statistics strongly different from the usual Wigner distribution. We interpret the results with a simple model using a set of regular states coupled to a set of chaotic states modeled by a random matrix.","authors_text":"Dominique Delande (Laboratoire Kastler Brossel ENS, France), Jakub Zakrzewski, Karine Dupret, Paris","cross_cats":["nlin.CD"],"headline":"","license":"","primary_cat":"chao-dyn","submitted_at":"1995-01-29T14:42:51Z","title":"Statistical properties of energy levels of chaotic systems: Wigner or non-Wigner"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9501016","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:cb2d55b08856065d13e595a3b1c392300dcbe148f7a52d97d0a7ad25a042cb48","target":"record","created_at":"2026-07-04T15:58:11Z","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":"b14426e35ea0ac810945d6e5fa1284717f74572e6fafdd13333e65fddc54fcbd","cross_cats_sorted":["nlin.CD"],"license":"","primary_cat":"chao-dyn","submitted_at":"1995-01-29T14:42:51Z","title_canon_sha256":"03beeb99035fd0aa05d0dd97535e18337f9dccfc1c9b5e91c711fb3ac64c2382"},"schema_version":"1.0","source":{"id":"chao-dyn/9501016","kind":"arxiv","version":1}},"canonical_sha256":"9d3f5eae536172fd4c3807198c0b855688bc3aa55fe99f0e9c9b43329ecd47d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d3f5eae536172fd4c3807198c0b855688bc3aa55fe99f0e9c9b43329ecd47d2","first_computed_at":"2026-07-04T15:58:11.258490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:58:11.258490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AVjiHxx767vFCDiaeMtSKr5SvpakrWDNnhcXKwewzqcD0soGdTGfDL/OBP2A62QAI2cK9idFFhGnYU97biU2Ag==","signature_status":"signed_v1","signed_at":"2026-07-04T15:58:11.258939Z","signed_message":"canonical_sha256_bytes"},"source_id":"chao-dyn/9501016","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb2d55b08856065d13e595a3b1c392300dcbe148f7a52d97d0a7ad25a042cb48","sha256:163274e1c70af2c051bde9d4f9b76397bfd1a4bafab465989aac6282c5debfda"],"state_sha256":"684b5eb15695ff1322eb22165d05789f8d6b3588ca61b5bc8de935749195a328"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"21KEUTqyyhaiP7lvZOQE3mQWQ7lCeMlx+i7oJTyK3Q1xvyCp8wU8FE9ztdkO4Sf9Fk5nQaVgg7K3TdpzGfdCAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T00:24:37.714739Z","bundle_sha256":"d54c72d99ac7354170a90d8729fbc98d51af90546241057781d4ac9c574b96f0"}}