{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:XSZJQH4TAOY7OWSZJMONVAOJCB","short_pith_number":"pith:XSZJQH4T","schema_version":"1.0","canonical_sha256":"bcb2981f9303b1f75a594b1cda81c9104e260defe1283914bd2460abec8c41f3","source":{"kind":"arxiv","id":"2208.14993","version":2},"attestation_state":"computed","paper":{"title":"Stable motions of high energy particles interacting via a repelling potential","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.CD","physics.class-ph"],"primary_cat":"math.DS","authors_text":"D. Turaev, V. Rom-Kedar","submitted_at":"2022-08-31T17:47:02Z","abstract_excerpt":"The motion of N particles interacting by a smooth repelling potential and confined to a compact d-dimensional region is proved to be, under mild conditions, non-ergodic for all sufficiently large energies. Specifically, choreographic solutions, for which all particles follow approximately the same path close to an elliptic periodic orbit of the single-particle system, are proved to be KAM stable in the high energy limit. Finally, it is proved that the motion of N repelling particles in a rectangular box is non-ergodic at high energies for a generic choice of interacting potential: there exists"},"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":"2208.14993","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2022-08-31T17:47:02Z","cross_cats_sorted":["math-ph","math.MP","nlin.CD","physics.class-ph"],"title_canon_sha256":"150c6a80b7d93aaf621c0b81aa705ad0af6566fc8521aa09bdfb36624802bc2f","abstract_canon_sha256":"c151583bebac41bb5be760678e7bf499e83e6ff5948fa2c1deb1f94eeb8172ac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T01:04:49.343923Z","signature_b64":"0KJe9Z7nLyiIgzIk6f8mxd2HKzH989SS6DszLjAbWYpAFZswctUrOMdKIkC2sKLJfOdgAP8ae2aDlCPRGnOQCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcb2981f9303b1f75a594b1cda81c9104e260defe1283914bd2460abec8c41f3","last_reissued_at":"2026-05-29T01:04:49.343433Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T01:04:49.343433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stable motions of high energy particles interacting via a repelling potential","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.CD","physics.class-ph"],"primary_cat":"math.DS","authors_text":"D. Turaev, V. Rom-Kedar","submitted_at":"2022-08-31T17:47:02Z","abstract_excerpt":"The motion of N particles interacting by a smooth repelling potential and confined to a compact d-dimensional region is proved to be, under mild conditions, non-ergodic for all sufficiently large energies. Specifically, choreographic solutions, for which all particles follow approximately the same path close to an elliptic periodic orbit of the single-particle system, are proved to be KAM stable in the high energy limit. Finally, it is proved that the motion of N repelling particles in a rectangular box is non-ergodic at high energies for a generic choice of interacting potential: there exists"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.14993","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2208.14993/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":"2208.14993","created_at":"2026-05-29T01:04:49.343508+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.14993v2","created_at":"2026-05-29T01:04:49.343508+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.14993","created_at":"2026-05-29T01:04:49.343508+00:00"},{"alias_kind":"pith_short_12","alias_value":"XSZJQH4TAOY7","created_at":"2026-05-29T01:04:49.343508+00:00"},{"alias_kind":"pith_short_16","alias_value":"XSZJQH4TAOY7OWSZ","created_at":"2026-05-29T01:04:49.343508+00:00"},{"alias_kind":"pith_short_8","alias_value":"XSZJQH4T","created_at":"2026-05-29T01:04:49.343508+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/XSZJQH4TAOY7OWSZJMONVAOJCB","json":"https://pith.science/pith/XSZJQH4TAOY7OWSZJMONVAOJCB.json","graph_json":"https://pith.science/api/pith-number/XSZJQH4TAOY7OWSZJMONVAOJCB/graph.json","events_json":"https://pith.science/api/pith-number/XSZJQH4TAOY7OWSZJMONVAOJCB/events.json","paper":"https://pith.science/paper/XSZJQH4T"},"agent_actions":{"view_html":"https://pith.science/pith/XSZJQH4TAOY7OWSZJMONVAOJCB","download_json":"https://pith.science/pith/XSZJQH4TAOY7OWSZJMONVAOJCB.json","view_paper":"https://pith.science/paper/XSZJQH4T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.14993&json=true","fetch_graph":"https://pith.science/api/pith-number/XSZJQH4TAOY7OWSZJMONVAOJCB/graph.json","fetch_events":"https://pith.science/api/pith-number/XSZJQH4TAOY7OWSZJMONVAOJCB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XSZJQH4TAOY7OWSZJMONVAOJCB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XSZJQH4TAOY7OWSZJMONVAOJCB/action/storage_attestation","attest_author":"https://pith.science/pith/XSZJQH4TAOY7OWSZJMONVAOJCB/action/author_attestation","sign_citation":"https://pith.science/pith/XSZJQH4TAOY7OWSZJMONVAOJCB/action/citation_signature","submit_replication":"https://pith.science/pith/XSZJQH4TAOY7OWSZJMONVAOJCB/action/replication_record"}},"created_at":"2026-05-29T01:04:49.343508+00:00","updated_at":"2026-05-29T01:04:49.343508+00:00"}