{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:XLB5IJEY45PPPE5JHOAMQFZVN5","short_pith_number":"pith:XLB5IJEY","schema_version":"1.0","canonical_sha256":"bac3d42498e75ef793a93b80c817356f55e696597052e92547c6ae8b78d4a3dc","source":{"kind":"arxiv","id":"2607.20099","version":1},"attestation_state":"computed","paper":{"title":"Scattering Dynamics and Chaotic Motions in a Relativistic Two-Centre Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DS","authors_text":"Gian Marco Canneori, Stefano Baranzini","submitted_at":"2026-07-22T12:55:01Z","abstract_excerpt":"We study the planar relativistic two-centre problem at fixed energy, including a class of perturbations of the Keplerian potential. Up to a reparametrisation of time, the relativistic dynamics is equivalent to a classical two-centre system with critical strong-force singularities. This reduction allows us to apply variational methods based on the Maupertuis functional. We construct collision-free relativistic trajectories with prescribed symbolic itineraries and obtain a coding of the dynamics by admissible sequences. In particular, we prove the existence of bounded orbits, scattering solution"},"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":"2607.20099","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2026-07-22T12:55:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8dca9e237a92677c2128cdc99022e6f18bf8297c6fcb34d4f1a38e30a43c53a2","abstract_canon_sha256":"3e7b0c37b30d115ea16d534ac0329a26ce0fe4a4e6b8f6acf6fe72776a1e5b00"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-23T01:25:01.358387Z","signature_b64":"eFZ+UdXW56phxGqfq3sn5OvolVrh9522rKV6uFxhKgmdRCjHSQaHbLNGvnAFC6bXcODq1IwBtriR8KJQWD4QBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bac3d42498e75ef793a93b80c817356f55e696597052e92547c6ae8b78d4a3dc","last_reissued_at":"2026-07-23T01:25:01.357504Z","signature_status":"signed_v1","first_computed_at":"2026-07-23T01:25:01.357504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scattering Dynamics and Chaotic Motions in a Relativistic Two-Centre Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DS","authors_text":"Gian Marco Canneori, Stefano Baranzini","submitted_at":"2026-07-22T12:55:01Z","abstract_excerpt":"We study the planar relativistic two-centre problem at fixed energy, including a class of perturbations of the Keplerian potential. Up to a reparametrisation of time, the relativistic dynamics is equivalent to a classical two-centre system with critical strong-force singularities. This reduction allows us to apply variational methods based on the Maupertuis functional. We construct collision-free relativistic trajectories with prescribed symbolic itineraries and obtain a coding of the dynamics by admissible sequences. In particular, we prove the existence of bounded orbits, scattering solution"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.20099","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/2607.20099/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":"2607.20099","created_at":"2026-07-23T01:25:01.357990+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.20099v1","created_at":"2026-07-23T01:25:01.357990+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.20099","created_at":"2026-07-23T01:25:01.357990+00:00"},{"alias_kind":"pith_short_12","alias_value":"XLB5IJEY45PP","created_at":"2026-07-23T01:25:01.357990+00:00"},{"alias_kind":"pith_short_16","alias_value":"XLB5IJEY45PPPE5J","created_at":"2026-07-23T01:25:01.357990+00:00"},{"alias_kind":"pith_short_8","alias_value":"XLB5IJEY","created_at":"2026-07-23T01:25:01.357990+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/XLB5IJEY45PPPE5JHOAMQFZVN5","json":"https://pith.science/pith/XLB5IJEY45PPPE5JHOAMQFZVN5.json","graph_json":"https://pith.science/api/pith-number/XLB5IJEY45PPPE5JHOAMQFZVN5/graph.json","events_json":"https://pith.science/api/pith-number/XLB5IJEY45PPPE5JHOAMQFZVN5/events.json","paper":"https://pith.science/paper/XLB5IJEY"},"agent_actions":{"view_html":"https://pith.science/pith/XLB5IJEY45PPPE5JHOAMQFZVN5","download_json":"https://pith.science/pith/XLB5IJEY45PPPE5JHOAMQFZVN5.json","view_paper":"https://pith.science/paper/XLB5IJEY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.20099&json=true","fetch_graph":"https://pith.science/api/pith-number/XLB5IJEY45PPPE5JHOAMQFZVN5/graph.json","fetch_events":"https://pith.science/api/pith-number/XLB5IJEY45PPPE5JHOAMQFZVN5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XLB5IJEY45PPPE5JHOAMQFZVN5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XLB5IJEY45PPPE5JHOAMQFZVN5/action/storage_attestation","attest_author":"https://pith.science/pith/XLB5IJEY45PPPE5JHOAMQFZVN5/action/author_attestation","sign_citation":"https://pith.science/pith/XLB5IJEY45PPPE5JHOAMQFZVN5/action/citation_signature","submit_replication":"https://pith.science/pith/XLB5IJEY45PPPE5JHOAMQFZVN5/action/replication_record"}},"created_at":"2026-07-23T01:25:01.357990+00:00","updated_at":"2026-07-23T01:25:01.357990+00:00"}