{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:MZQCCY2FK3SJSU3EBPXHJZOF2E","short_pith_number":"pith:MZQCCY2F","canonical_record":{"source":{"id":"nlin/0008023","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2000-08-18T07:41:52Z","cross_cats_sorted":[],"title_canon_sha256":"22792413726973dd13e023fb14f2803534d90b6a080bb8b8da5727dae1c52e37","abstract_canon_sha256":"346251c9e300f75900483b91deb81f5a6ce3548f993049b28e3b4b68e503ce83"},"schema_version":"1.0"},"canonical_sha256":"666021634556e49953640bee74e5c5d115444edcd73ea39b341e8f2bbe097d83","source":{"kind":"arxiv","id":"nlin/0008023","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0008023","created_at":"2026-07-04T15:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0008023v1","created_at":"2026-07-04T15:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0008023","created_at":"2026-07-04T15:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"MZQCCY2FK3SJ","created_at":"2026-07-04T15:03:45Z"},{"alias_kind":"pith_short_16","alias_value":"MZQCCY2FK3SJSU3E","created_at":"2026-07-04T15:03:45Z"},{"alias_kind":"pith_short_8","alias_value":"MZQCCY2F","created_at":"2026-07-04T15:03:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:MZQCCY2FK3SJSU3EBPXHJZOF2E","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0008023","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2000-08-18T07:41:52Z","cross_cats_sorted":[],"title_canon_sha256":"22792413726973dd13e023fb14f2803534d90b6a080bb8b8da5727dae1c52e37","abstract_canon_sha256":"346251c9e300f75900483b91deb81f5a6ce3548f993049b28e3b4b68e503ce83"},"schema_version":"1.0"},"canonical_sha256":"666021634556e49953640bee74e5c5d115444edcd73ea39b341e8f2bbe097d83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:03:45.221998Z","signature_b64":"u5/RCEM4TItDGwFyXvh1Sya5JqjIPGpddQcdEraXX+DyN3MiD47bRStgbPssi1Xn3qcsm6BQ9raxLVRaHm5+Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"666021634556e49953640bee74e5c5d115444edcd73ea39b341e8f2bbe097d83","last_reissued_at":"2026-07-04T15:03:45.221564Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:03:45.221564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0008023","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":"2026-07-04T15:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wASx1qArTWC/611BPriQoH4t6qpi3kBst0aR4Vxb2fjIdw9sC0prcRkakOwMKKmMhx7HavT/wzynhRmX/4FTCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:08:09.202173Z"},"content_sha256":"cf1d7fad6de05af3e07e555927f97e8a6add4027c0d972ed06dbfce40bcb2131","schema_version":"1.0","event_id":"sha256:cf1d7fad6de05af3e07e555927f97e8a6add4027c0d972ed06dbfce40bcb2131"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:MZQCCY2FK3SJSU3EBPXHJZOF2E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correlations and fluctuations of matrix elements and cross sections","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Bruno Eckhardt, Imre Varga, Peter Pollner (Fachbereich Physik, Philipps-Universitaet Marburg)","submitted_at":"2000-08-18T07:41:52Z","abstract_excerpt":"The fluctuations and correlations of matrix elements of cross sections are investigated in open systems that are chaotic in the classical limit. The form of the correlation functions is discussed within a statistical analysis and tested in calculations for a damped quantum kicked rotator. We briefly comment on the modifications expected for systems with slowly decaying correlations, a typical feature in mixed phase spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0008023","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/nlin/0008023/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":"2026-07-04T15:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MRZqspfxrwcIB8+ZgGFxMt4nDiVaBGizyR5NMTShfqoUmTIH6VBhliTwduFXBV63TjyLdvmEihIOa+cSMZP6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:08:09.202909Z"},"content_sha256":"4b007f60d1b0739bbdfa0e73adea093feeb15790ed229caa14396ad879297c85","schema_version":"1.0","event_id":"sha256:4b007f60d1b0739bbdfa0e73adea093feeb15790ed229caa14396ad879297c85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MZQCCY2FK3SJSU3EBPXHJZOF2E/bundle.json","state_url":"https://pith.science/pith/MZQCCY2FK3SJSU3EBPXHJZOF2E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MZQCCY2FK3SJSU3EBPXHJZOF2E/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":"2026-07-07T13:08:09Z","links":{"resolver":"https://pith.science/pith/MZQCCY2FK3SJSU3EBPXHJZOF2E","bundle":"https://pith.science/pith/MZQCCY2FK3SJSU3EBPXHJZOF2E/bundle.json","state":"https://pith.science/pith/MZQCCY2FK3SJSU3EBPXHJZOF2E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MZQCCY2FK3SJSU3EBPXHJZOF2E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:MZQCCY2FK3SJSU3EBPXHJZOF2E","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":"346251c9e300f75900483b91deb81f5a6ce3548f993049b28e3b4b68e503ce83","cross_cats_sorted":[],"license":"","primary_cat":"nlin.CD","submitted_at":"2000-08-18T07:41:52Z","title_canon_sha256":"22792413726973dd13e023fb14f2803534d90b6a080bb8b8da5727dae1c52e37"},"schema_version":"1.0","source":{"id":"nlin/0008023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0008023","created_at":"2026-07-04T15:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0008023v1","created_at":"2026-07-04T15:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0008023","created_at":"2026-07-04T15:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"MZQCCY2FK3SJ","created_at":"2026-07-04T15:03:45Z"},{"alias_kind":"pith_short_16","alias_value":"MZQCCY2FK3SJSU3E","created_at":"2026-07-04T15:03:45Z"},{"alias_kind":"pith_short_8","alias_value":"MZQCCY2F","created_at":"2026-07-04T15:03:45Z"}],"graph_snapshots":[{"event_id":"sha256:4b007f60d1b0739bbdfa0e73adea093feeb15790ed229caa14396ad879297c85","target":"graph","created_at":"2026-07-04T15:03:45Z","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/nlin/0008023/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The fluctuations and correlations of matrix elements of cross sections are investigated in open systems that are chaotic in the classical limit. The form of the correlation functions is discussed within a statistical analysis and tested in calculations for a damped quantum kicked rotator. We briefly comment on the modifications expected for systems with slowly decaying correlations, a typical feature in mixed phase spaces.","authors_text":"Bruno Eckhardt, Imre Varga, Peter Pollner (Fachbereich Physik, Philipps-Universitaet Marburg)","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.CD","submitted_at":"2000-08-18T07:41:52Z","title":"Correlations and fluctuations of matrix elements and cross sections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0008023","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:cf1d7fad6de05af3e07e555927f97e8a6add4027c0d972ed06dbfce40bcb2131","target":"record","created_at":"2026-07-04T15:03:45Z","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":"346251c9e300f75900483b91deb81f5a6ce3548f993049b28e3b4b68e503ce83","cross_cats_sorted":[],"license":"","primary_cat":"nlin.CD","submitted_at":"2000-08-18T07:41:52Z","title_canon_sha256":"22792413726973dd13e023fb14f2803534d90b6a080bb8b8da5727dae1c52e37"},"schema_version":"1.0","source":{"id":"nlin/0008023","kind":"arxiv","version":1}},"canonical_sha256":"666021634556e49953640bee74e5c5d115444edcd73ea39b341e8f2bbe097d83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"666021634556e49953640bee74e5c5d115444edcd73ea39b341e8f2bbe097d83","first_computed_at":"2026-07-04T15:03:45.221564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:03:45.221564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u5/RCEM4TItDGwFyXvh1Sya5JqjIPGpddQcdEraXX+DyN3MiD47bRStgbPssi1Xn3qcsm6BQ9raxLVRaHm5+Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:03:45.221998Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0008023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf1d7fad6de05af3e07e555927f97e8a6add4027c0d972ed06dbfce40bcb2131","sha256:4b007f60d1b0739bbdfa0e73adea093feeb15790ed229caa14396ad879297c85"],"state_sha256":"b1abd63bf927d017edd20d37f6a8ac48b0a5cd31e4d72c6977064c9fb0cbb537"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CxJ2TdtXBPaClywb8nIFuticM4ySOAFC6fUk37LX2pTGkshOBX4+OhneHwNBv0TWaBWI7ISd9aaYgUzWhD2FDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T13:08:09.206793Z","bundle_sha256":"711d7f15efa99031f479dab448aeb6f61582697bfe2ac3f4edeb7eb761849e3b"}}