{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:TDFKWLSMYE6VFKT327PJZ2VB3X","short_pith_number":"pith:TDFKWLSM","schema_version":"1.0","canonical_sha256":"98caab2e4cc13d52aa7bd7de9ceaa1ddc6849a565d7096c4b254dd08816d9c1f","source":{"kind":"arxiv","id":"1803.04043","version":1},"attestation_state":"computed","paper":{"title":"Uncertainty dimension and basin entropy in relativistic chaotic scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Jes\\'us M. Seoane, Juan D. Bernal, Miguel A.F. Sanju\\'an","submitted_at":"2018-03-11T21:23:39Z","abstract_excerpt":"Chaotic scattering is an important topic in nonlinear dynamics and chaos with applications in several fields in physics and engineering. The study of this phenomenon in relativistic systems has receivedlittle attention as compared to the Newtonian case. Here, we focus our work on the study of some relevant characteristics of the exit basin topology in the relativistic H\\'enon-Heiles system: the uncertainty dimension, the Wada property and the basin entropy. Our main findings for the uncertainty dimension show two different behaviors insofar we change the relativistic parameter $\\beta$, in whic"},"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":"1803.04043","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-03-11T21:23:39Z","cross_cats_sorted":[],"title_canon_sha256":"ba3a420972c5f186411922584daa7bb36365666a46f7b590378282f8dd385bb5","abstract_canon_sha256":"823dabba7070af540a8c2b00e010c76982b0aaca9fcc9e79c7396018ec2d336a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:38.313520Z","signature_b64":"kT4IVv0XcXPpbJROmd12cRwtno8069JiE12A8r9t3twQteMvn1GIhizfaWJ9UJveWagXU6zAESVIv9oW8RaLAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98caab2e4cc13d52aa7bd7de9ceaa1ddc6849a565d7096c4b254dd08816d9c1f","last_reissued_at":"2026-05-18T00:17:38.312853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:38.312853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uncertainty dimension and basin entropy in relativistic chaotic scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Jes\\'us M. Seoane, Juan D. Bernal, Miguel A.F. Sanju\\'an","submitted_at":"2018-03-11T21:23:39Z","abstract_excerpt":"Chaotic scattering is an important topic in nonlinear dynamics and chaos with applications in several fields in physics and engineering. The study of this phenomenon in relativistic systems has receivedlittle attention as compared to the Newtonian case. Here, we focus our work on the study of some relevant characteristics of the exit basin topology in the relativistic H\\'enon-Heiles system: the uncertainty dimension, the Wada property and the basin entropy. Our main findings for the uncertainty dimension show two different behaviors insofar we change the relativistic parameter $\\beta$, in whic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04043","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1803.04043","created_at":"2026-05-18T00:17:38.312967+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.04043v1","created_at":"2026-05-18T00:17:38.312967+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04043","created_at":"2026-05-18T00:17:38.312967+00:00"},{"alias_kind":"pith_short_12","alias_value":"TDFKWLSMYE6V","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"TDFKWLSMYE6VFKT3","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"TDFKWLSM","created_at":"2026-05-18T12:32:53.628368+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TDFKWLSMYE6VFKT327PJZ2VB3X","json":"https://pith.science/pith/TDFKWLSMYE6VFKT327PJZ2VB3X.json","graph_json":"https://pith.science/api/pith-number/TDFKWLSMYE6VFKT327PJZ2VB3X/graph.json","events_json":"https://pith.science/api/pith-number/TDFKWLSMYE6VFKT327PJZ2VB3X/events.json","paper":"https://pith.science/paper/TDFKWLSM"},"agent_actions":{"view_html":"https://pith.science/pith/TDFKWLSMYE6VFKT327PJZ2VB3X","download_json":"https://pith.science/pith/TDFKWLSMYE6VFKT327PJZ2VB3X.json","view_paper":"https://pith.science/paper/TDFKWLSM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.04043&json=true","fetch_graph":"https://pith.science/api/pith-number/TDFKWLSMYE6VFKT327PJZ2VB3X/graph.json","fetch_events":"https://pith.science/api/pith-number/TDFKWLSMYE6VFKT327PJZ2VB3X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TDFKWLSMYE6VFKT327PJZ2VB3X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TDFKWLSMYE6VFKT327PJZ2VB3X/action/storage_attestation","attest_author":"https://pith.science/pith/TDFKWLSMYE6VFKT327PJZ2VB3X/action/author_attestation","sign_citation":"https://pith.science/pith/TDFKWLSMYE6VFKT327PJZ2VB3X/action/citation_signature","submit_replication":"https://pith.science/pith/TDFKWLSMYE6VFKT327PJZ2VB3X/action/replication_record"}},"created_at":"2026-05-18T00:17:38.312967+00:00","updated_at":"2026-05-18T00:17:38.312967+00:00"}