{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:3KFRKGZFOULMVYBBGDFSRU4QIM","short_pith_number":"pith:3KFRKGZF","schema_version":"1.0","canonical_sha256":"da8b151b257516cae02130cb28d3904327d01e696743da359b920fb492f94f24","source":{"kind":"arxiv","id":"2510.03007","version":3},"attestation_state":"computed","paper":{"title":"Multi-dimensional chaos I: Classical and quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"hep-th","authors_text":"Dorin Weissman, Jacob Sonnenschein, Massimo Bianchi, Maurizio Firrotta","submitted_at":"2025-10-03T13:51:38Z","abstract_excerpt":"We introduce the notion of multi-dimensional chaos that applies to processes described by erratic functions of several dynamical variables. We employ this concept in the interpretation of classical and quantum scattering off a pinball system. In the former case it is illustrated by means of two-dimensional plots of the scattering angle and of the number of bounces. We draw similar patterns for the quantum differential cross-section for various geometries of the disks. We find that the eigenvalues of the S-matrix are distributed according to the Circular Orthogonal Ensemble (COE) in random matr"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2510.03007","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-10-03T13:51:38Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"7045b5c6600f14ae2fe3ceea2e67d29cd4b4f2a2337bb2b2937f79f66da48f6e","abstract_canon_sha256":"4bebc567f21f1c61be64dc383eaa15b9f3ae0384a908ff9d47c4f63efcdea7c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:05:38.323026Z","signature_b64":"cSu5JDx+w482PPztnra/gIuvzGl929/gLhYdAeRmtOOTxWFSRtsWTUpiGq9HHWUBbutsZdTrQ94Fj2bwauWhDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da8b151b257516cae02130cb28d3904327d01e696743da359b920fb492f94f24","last_reissued_at":"2026-05-27T01:05:38.322411Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:05:38.322411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multi-dimensional chaos I: Classical and quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"hep-th","authors_text":"Dorin Weissman, Jacob Sonnenschein, Massimo Bianchi, Maurizio Firrotta","submitted_at":"2025-10-03T13:51:38Z","abstract_excerpt":"We introduce the notion of multi-dimensional chaos that applies to processes described by erratic functions of several dynamical variables. We employ this concept in the interpretation of classical and quantum scattering off a pinball system. In the former case it is illustrated by means of two-dimensional plots of the scattering angle and of the number of bounces. We draw similar patterns for the quantum differential cross-section for various geometries of the disks. We find that the eigenvalues of the S-matrix are distributed according to the Circular Orthogonal Ensemble (COE) in random matr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.03007","kind":"arxiv","version":3},"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/2510.03007/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2510.03007","created_at":"2026-05-27T01:05:38.322466+00:00"},{"alias_kind":"arxiv_version","alias_value":"2510.03007v3","created_at":"2026-05-27T01:05:38.322466+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.03007","created_at":"2026-05-27T01:05:38.322466+00:00"},{"alias_kind":"pith_short_12","alias_value":"3KFRKGZFOULM","created_at":"2026-05-27T01:05:38.322466+00:00"},{"alias_kind":"pith_short_16","alias_value":"3KFRKGZFOULMVYBB","created_at":"2026-05-27T01:05:38.322466+00:00"},{"alias_kind":"pith_short_8","alias_value":"3KFRKGZF","created_at":"2026-05-27T01:05:38.322466+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.09804","citing_title":"Joint distributions of eigenvectors of symmetric random tensors","ref_index":21,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3KFRKGZFOULMVYBBGDFSRU4QIM","json":"https://pith.science/pith/3KFRKGZFOULMVYBBGDFSRU4QIM.json","graph_json":"https://pith.science/api/pith-number/3KFRKGZFOULMVYBBGDFSRU4QIM/graph.json","events_json":"https://pith.science/api/pith-number/3KFRKGZFOULMVYBBGDFSRU4QIM/events.json","paper":"https://pith.science/paper/3KFRKGZF"},"agent_actions":{"view_html":"https://pith.science/pith/3KFRKGZFOULMVYBBGDFSRU4QIM","download_json":"https://pith.science/pith/3KFRKGZFOULMVYBBGDFSRU4QIM.json","view_paper":"https://pith.science/paper/3KFRKGZF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2510.03007&json=true","fetch_graph":"https://pith.science/api/pith-number/3KFRKGZFOULMVYBBGDFSRU4QIM/graph.json","fetch_events":"https://pith.science/api/pith-number/3KFRKGZFOULMVYBBGDFSRU4QIM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3KFRKGZFOULMVYBBGDFSRU4QIM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3KFRKGZFOULMVYBBGDFSRU4QIM/action/storage_attestation","attest_author":"https://pith.science/pith/3KFRKGZFOULMVYBBGDFSRU4QIM/action/author_attestation","sign_citation":"https://pith.science/pith/3KFRKGZFOULMVYBBGDFSRU4QIM/action/citation_signature","submit_replication":"https://pith.science/pith/3KFRKGZFOULMVYBBGDFSRU4QIM/action/replication_record"}},"created_at":"2026-05-27T01:05:38.322466+00:00","updated_at":"2026-05-27T01:05:38.322466+00:00"}