{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:X3KUESPA7THWEWQNOQTKBGM27K","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"82bf89ba78a5aaca613d19c1faff48410d41c02e51ad4c222a1c32a651ffb6bd","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-01-29T19:42:48Z","title_canon_sha256":"6c7544186d3d7ebe7e9b85d9abc0f0d04135bffc0bc64301bed7ef3003daed35"},"schema_version":"1.0","source":{"id":"1301.7034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7034","created_at":"2026-05-17T23:53:17Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7034v1","created_at":"2026-05-17T23:53:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7034","created_at":"2026-05-17T23:53:17Z"},{"alias_kind":"pith_short_12","alias_value":"X3KUESPA7THW","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X3KUESPA7THWEWQN","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X3KUESPA","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:90019fd5f4ff9dd158b3a32a8a45430d5093e5cffd35551f37a2643135f20f39","target":"graph","created_at":"2026-05-17T23:53:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we study the existence and the dynamics of a very special class of motions, which satisfy a strong global minimization property. More precisely, we call a free time minimizer a curve which satisfies the least action principle between any pair of its points without the constraint of time for the variations. An example of a free time minimizer defined on an unbounded interval is a parabolic homothetic motion by a minimal central confguration. The existence of a large amount of free time minimizers can be deduced from the weak KAM theorem. In particular, for any choice of x0, there ","authors_text":"Adriana da Luz, Ezequiel Maderna","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-01-29T19:42:48Z","title":"On the free time minimizers of the Newtonian N-body problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7034","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:44fc0ccef27388e0cda67f728f32ee6905c736daf2cf87bf66cd493a3f9b004f","target":"record","created_at":"2026-05-17T23:53:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"82bf89ba78a5aaca613d19c1faff48410d41c02e51ad4c222a1c32a651ffb6bd","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-01-29T19:42:48Z","title_canon_sha256":"6c7544186d3d7ebe7e9b85d9abc0f0d04135bffc0bc64301bed7ef3003daed35"},"schema_version":"1.0","source":{"id":"1301.7034","kind":"arxiv","version":1}},"canonical_sha256":"bed54249e0fccf625a0d7426a0999afa8b989763baccaca6911019f7748072c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bed54249e0fccf625a0d7426a0999afa8b989763baccaca6911019f7748072c8","first_computed_at":"2026-05-17T23:53:17.956237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:17.956237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cHkOlqWF+B5EWc4rerDv3hkgJrjjEqeewDbezmNkx1iYYc8T7V37CqSns3R+Rz/JkpSJ1BmVW7s4oSiJ1Yg1AQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:17.956877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.7034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44fc0ccef27388e0cda67f728f32ee6905c736daf2cf87bf66cd493a3f9b004f","sha256:90019fd5f4ff9dd158b3a32a8a45430d5093e5cffd35551f37a2643135f20f39"],"state_sha256":"3058505fcf3ff47fb0ef493cc11e7ed904dcef7dcbda3ca3b9ca7635863a7de5"}