{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:UDPUFTS5DPRBVOYES5VJUQIDDF","short_pith_number":"pith:UDPUFTS5","schema_version":"1.0","canonical_sha256":"a0df42ce5d1be21abb04976a9a41031958ba0eb7aaa16a1db53e9ed22bae52d7","source":{"kind":"arxiv","id":"1204.1713","version":2},"attestation_state":"computed","paper":{"title":"A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"nlin.SI","authors_text":"Gaetano Zampieri, Gianluca Gorni","submitted_at":"2012-04-08T07:23:23Z","abstract_excerpt":"The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a large subclass, the asymptotic data of the trajectories define a global canonical diffeomorphism $A$ that brings the system into the normal form $\\dot P=0$, $\\dot Q=P$.\n  The integrability theory applies for example to a system of $n$ particles on the line interacting pairwise through rather general repulsive potentials. The inverse $r$-power potential for arbitrary $r>0$ is included, the reduction to normal form being"},"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":"1204.1713","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-04-08T07:23:23Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"a96ad87e487e3af48af53ba914dee8d956f88fcfa383cf8168c8a5f8faa49849","abstract_canon_sha256":"ef70336b909666c56999d46b7fb3876467541db633c119763db3d33159bcc30e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:14.074885Z","signature_b64":"l913/60znoVMu2nbgj+NRps3c9zdk5sME7Pm1IbqLmbGOKZtPZaoF6G4UN6edFRV84dO2QG5thqFta4D1L8MCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0df42ce5d1be21abb04976a9a41031958ba0eb7aaa16a1db53e9ed22bae52d7","last_reissued_at":"2026-05-18T03:51:14.073930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:14.073930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"nlin.SI","authors_text":"Gaetano Zampieri, Gianluca Gorni","submitted_at":"2012-04-08T07:23:23Z","abstract_excerpt":"The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a large subclass, the asymptotic data of the trajectories define a global canonical diffeomorphism $A$ that brings the system into the normal form $\\dot P=0$, $\\dot Q=P$.\n  The integrability theory applies for example to a system of $n$ particles on the line interacting pairwise through rather general repulsive potentials. The inverse $r$-power potential for arbitrary $r>0$ is included, the reduction to normal form being"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1713","kind":"arxiv","version":2},"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":"1204.1713","created_at":"2026-05-18T03:51:14.074086+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.1713v2","created_at":"2026-05-18T03:51:14.074086+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1713","created_at":"2026-05-18T03:51:14.074086+00:00"},{"alias_kind":"pith_short_12","alias_value":"UDPUFTS5DPRB","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"UDPUFTS5DPRBVOYE","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"UDPUFTS5","created_at":"2026-05-18T12:27:23.164592+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/UDPUFTS5DPRBVOYES5VJUQIDDF","json":"https://pith.science/pith/UDPUFTS5DPRBVOYES5VJUQIDDF.json","graph_json":"https://pith.science/api/pith-number/UDPUFTS5DPRBVOYES5VJUQIDDF/graph.json","events_json":"https://pith.science/api/pith-number/UDPUFTS5DPRBVOYES5VJUQIDDF/events.json","paper":"https://pith.science/paper/UDPUFTS5"},"agent_actions":{"view_html":"https://pith.science/pith/UDPUFTS5DPRBVOYES5VJUQIDDF","download_json":"https://pith.science/pith/UDPUFTS5DPRBVOYES5VJUQIDDF.json","view_paper":"https://pith.science/paper/UDPUFTS5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.1713&json=true","fetch_graph":"https://pith.science/api/pith-number/UDPUFTS5DPRBVOYES5VJUQIDDF/graph.json","fetch_events":"https://pith.science/api/pith-number/UDPUFTS5DPRBVOYES5VJUQIDDF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UDPUFTS5DPRBVOYES5VJUQIDDF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UDPUFTS5DPRBVOYES5VJUQIDDF/action/storage_attestation","attest_author":"https://pith.science/pith/UDPUFTS5DPRBVOYES5VJUQIDDF/action/author_attestation","sign_citation":"https://pith.science/pith/UDPUFTS5DPRBVOYES5VJUQIDDF/action/citation_signature","submit_replication":"https://pith.science/pith/UDPUFTS5DPRBVOYES5VJUQIDDF/action/replication_record"}},"created_at":"2026-05-18T03:51:14.074086+00:00","updated_at":"2026-05-18T03:51:14.074086+00:00"}