{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:NBB7DWHOZVKE3GWUIHTQ4L6OTU","short_pith_number":"pith:NBB7DWHO","canonical_record":{"source":{"id":"nlin/0111063","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2001-11-28T09:11:15Z","cross_cats_sorted":[],"title_canon_sha256":"694dfaa071b802a79a1dd3338e6c404707ab153200449bd0d830326fdec0f342","abstract_canon_sha256":"f02e900d27a58b1d3355392854d2bc45b4e31920ee6133b0fcf4a8bb04be1d4c"},"schema_version":"1.0"},"canonical_sha256":"6843f1d8eecd544d9ad441e70e2fce9d1da8844d23ff2307295baabc140a9801","source":{"kind":"arxiv","id":"nlin/0111063","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0111063","created_at":"2026-07-04T16:28:23Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0111063v1","created_at":"2026-07-04T16:28:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0111063","created_at":"2026-07-04T16:28:23Z"},{"alias_kind":"pith_short_12","alias_value":"NBB7DWHOZVKE","created_at":"2026-07-04T16:28:23Z"},{"alias_kind":"pith_short_16","alias_value":"NBB7DWHOZVKE3GWU","created_at":"2026-07-04T16:28:23Z"},{"alias_kind":"pith_short_8","alias_value":"NBB7DWHO","created_at":"2026-07-04T16:28:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:NBB7DWHOZVKE3GWUIHTQ4L6OTU","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0111063","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2001-11-28T09:11:15Z","cross_cats_sorted":[],"title_canon_sha256":"694dfaa071b802a79a1dd3338e6c404707ab153200449bd0d830326fdec0f342","abstract_canon_sha256":"f02e900d27a58b1d3355392854d2bc45b4e31920ee6133b0fcf4a8bb04be1d4c"},"schema_version":"1.0"},"canonical_sha256":"6843f1d8eecd544d9ad441e70e2fce9d1da8844d23ff2307295baabc140a9801","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:28:23.310967Z","signature_b64":"V9irVdxD9rblzJsZtOubgNJOKaxw/JEooA/vLqI56Z+iOuvxrn18291R4CYNdIEWZvsCsYurgcjg+oTeiIo4Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6843f1d8eecd544d9ad441e70e2fce9d1da8844d23ff2307295baabc140a9801","last_reissued_at":"2026-07-04T16:28:23.310584Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:28:23.310584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0111063","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":"2026-07-04T16:28:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"95jZk+iJ+6Md3WeTBNxiU3ESBrJ/LHBD95qImjrquFwQJWcFj9A2o+x2BZVTpOwiPHsyn5GBSatPDTq9BpI7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T19:30:24.462511Z"},"content_sha256":"25b1ac4ea3db0e3588847a99fc26188457d8754dec959a8cb5c5a62efa5ddf3b","schema_version":"1.0","event_id":"sha256:25b1ac4ea3db0e3588847a99fc26188457d8754dec959a8cb5c5a62efa5ddf3b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:NBB7DWHOZVKE3GWUIHTQ4L6OTU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Localized Perturbations of Integrable Systems","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Saar Rahav, Shmuel Fishman","submitted_at":"2001-11-28T09:11:15Z","abstract_excerpt":"The statistics of energy levels of a rectangular billiard, that is perturbed by a strong localized potential, are studied analytically and numerically, when this perturbation is at the center or at a typical position. Different results are found for these two types of positions. If the scatterer is at the center, the symmetry leads to additional contributions, some of them are related to the angular dependence of the potential. The limit of the $\\delta$-like scatterer is obtained explicitly. The form factor, that is the Fourier transform of the energy-energy correlation function, is calculated"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0111063","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/0111063/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":"2026-07-04T16:28:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wpn/QOBZHSw0Af5xPoPrMUxd3Bz7k4vTUHssJos2WndPqh7qOhmp4fBvZQTOgeezBF6vhc2/JXQ16aVjJIpTBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T19:30:24.463326Z"},"content_sha256":"2893df02e3dcace6974a9456b8a0cf2575619ac9ed20cec956a999913a0b5517","schema_version":"1.0","event_id":"sha256:2893df02e3dcace6974a9456b8a0cf2575619ac9ed20cec956a999913a0b5517"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NBB7DWHOZVKE3GWUIHTQ4L6OTU/bundle.json","state_url":"https://pith.science/pith/NBB7DWHOZVKE3GWUIHTQ4L6OTU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NBB7DWHOZVKE3GWUIHTQ4L6OTU/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":"2026-08-06T19:30:24Z","links":{"resolver":"https://pith.science/pith/NBB7DWHOZVKE3GWUIHTQ4L6OTU","bundle":"https://pith.science/pith/NBB7DWHOZVKE3GWUIHTQ4L6OTU/bundle.json","state":"https://pith.science/pith/NBB7DWHOZVKE3GWUIHTQ4L6OTU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NBB7DWHOZVKE3GWUIHTQ4L6OTU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:NBB7DWHOZVKE3GWUIHTQ4L6OTU","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":"f02e900d27a58b1d3355392854d2bc45b4e31920ee6133b0fcf4a8bb04be1d4c","cross_cats_sorted":[],"license":"","primary_cat":"nlin.CD","submitted_at":"2001-11-28T09:11:15Z","title_canon_sha256":"694dfaa071b802a79a1dd3338e6c404707ab153200449bd0d830326fdec0f342"},"schema_version":"1.0","source":{"id":"nlin/0111063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0111063","created_at":"2026-07-04T16:28:23Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0111063v1","created_at":"2026-07-04T16:28:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0111063","created_at":"2026-07-04T16:28:23Z"},{"alias_kind":"pith_short_12","alias_value":"NBB7DWHOZVKE","created_at":"2026-07-04T16:28:23Z"},{"alias_kind":"pith_short_16","alias_value":"NBB7DWHOZVKE3GWU","created_at":"2026-07-04T16:28:23Z"},{"alias_kind":"pith_short_8","alias_value":"NBB7DWHO","created_at":"2026-07-04T16:28:23Z"}],"graph_snapshots":[{"event_id":"sha256:2893df02e3dcace6974a9456b8a0cf2575619ac9ed20cec956a999913a0b5517","target":"graph","created_at":"2026-07-04T16:28:23Z","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/0111063/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The statistics of energy levels of a rectangular billiard, that is perturbed by a strong localized potential, are studied analytically and numerically, when this perturbation is at the center or at a typical position. Different results are found for these two types of positions. If the scatterer is at the center, the symmetry leads to additional contributions, some of them are related to the angular dependence of the potential. The limit of the $\\delta$-like scatterer is obtained explicitly. The form factor, that is the Fourier transform of the energy-energy correlation function, is calculated","authors_text":"Saar Rahav, Shmuel Fishman","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.CD","submitted_at":"2001-11-28T09:11:15Z","title":"Localized Perturbations of Integrable Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0111063","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":"sha256:25b1ac4ea3db0e3588847a99fc26188457d8754dec959a8cb5c5a62efa5ddf3b","target":"record","created_at":"2026-07-04T16:28:23Z","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":"f02e900d27a58b1d3355392854d2bc45b4e31920ee6133b0fcf4a8bb04be1d4c","cross_cats_sorted":[],"license":"","primary_cat":"nlin.CD","submitted_at":"2001-11-28T09:11:15Z","title_canon_sha256":"694dfaa071b802a79a1dd3338e6c404707ab153200449bd0d830326fdec0f342"},"schema_version":"1.0","source":{"id":"nlin/0111063","kind":"arxiv","version":1}},"canonical_sha256":"6843f1d8eecd544d9ad441e70e2fce9d1da8844d23ff2307295baabc140a9801","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6843f1d8eecd544d9ad441e70e2fce9d1da8844d23ff2307295baabc140a9801","first_computed_at":"2026-07-04T16:28:23.310584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:28:23.310584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V9irVdxD9rblzJsZtOubgNJOKaxw/JEooA/vLqI56Z+iOuvxrn18291R4CYNdIEWZvsCsYurgcjg+oTeiIo4Cw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:28:23.310967Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0111063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25b1ac4ea3db0e3588847a99fc26188457d8754dec959a8cb5c5a62efa5ddf3b","sha256:2893df02e3dcace6974a9456b8a0cf2575619ac9ed20cec956a999913a0b5517"],"state_sha256":"c49d2977349703ea040986ff26cdf2eafaee10e986038499727fd14060cd2f61"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b3lQvkSSkg4aqp+mTAXIoIM0S+IGjnILMJ6bDSg2d2tUkxzXMmp0EUI/heat2jNXnPh8MRY5efcti+vvRda0Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T19:30:24.472217Z","bundle_sha256":"79a02f7e7b265979415ea4be19343b59337ea00cba690f09e6f437dd14582868"}}