{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MYCYRIBJRGB3ZML3NS4QZWOQ47","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":"9fc4ad60d3cba425e6aec476a50ac8c235f4e195af21e376184079c30b957769","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-10-15T17:45:25Z","title_canon_sha256":"405fc5fde3fc0ec420231462f5c50918557e31bcb6a52358322a3666f153a459"},"schema_version":"1.0","source":{"id":"1610.04767","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04767","created_at":"2026-05-18T01:02:07Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04767v1","created_at":"2026-05-18T01:02:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04767","created_at":"2026-05-18T01:02:07Z"},{"alias_kind":"pith_short_12","alias_value":"MYCYRIBJRGB3","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MYCYRIBJRGB3ZML3","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MYCYRIBJ","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:969e436c6e809f2cc10a60dc7e7e44e938142ec6a8359038e5de077bdbf14b83","target":"graph","created_at":"2026-05-18T01:02:07Z","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":"The paper is about the parking 3-sphere swimmer ($\\text{sPr}_3$). This is a low-Reynolds number model swimmer composed of three balls of equal radii. The three balls can move along three horizontal axes (supported in the same plane) that mutually meet at the center of $\\text{sPr}_3$ with angles of $120^{\\circ}$ . The governing dynamical system is introduced and the implications of its geometric symmetries revealed. It is then shown that, in the first order range of small strokes, optimal periodic strokes are ellipses embedded in 3d space, i.e. closed curves of the form $t\\in [0,2\\pi] \\mapsto (","authors_text":"Fran\\c{c}ois Alouges, Giovanni Di Fratta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-10-15T17:45:25Z","title":"Parking 3-sphere swimmer. I. Energy minimizing strokes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04767","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":"sha256:65761c08e38ba2178170f1a64e198246119eefc5a02f942d34573c82d7209397","target":"record","created_at":"2026-05-18T01:02:07Z","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":"9fc4ad60d3cba425e6aec476a50ac8c235f4e195af21e376184079c30b957769","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-10-15T17:45:25Z","title_canon_sha256":"405fc5fde3fc0ec420231462f5c50918557e31bcb6a52358322a3666f153a459"},"schema_version":"1.0","source":{"id":"1610.04767","kind":"arxiv","version":1}},"canonical_sha256":"660588a0298983bcb17b6cb90cd9d0e7d96c5815b83117b21b767c2e3bfa201d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"660588a0298983bcb17b6cb90cd9d0e7d96c5815b83117b21b767c2e3bfa201d","first_computed_at":"2026-05-18T01:02:07.140245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:07.140245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dh4q82LGoTFuCeLWPRUzxt/1ezVuF0ftzouEp8TyiwpZoXc1W+8rGcwpfcj3PB44AcOu6DGu8CHe1vBrRgTUCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:07.140726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04767","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65761c08e38ba2178170f1a64e198246119eefc5a02f942d34573c82d7209397","sha256:969e436c6e809f2cc10a60dc7e7e44e938142ec6a8359038e5de077bdbf14b83"],"state_sha256":"e2ef233b25d1123886afb5bd27ccef4e99ee5fbee2b107d00a5d51c2097ab3f6"}