{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:OSI6N6GQSCW273WAYHK3OABFF4","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":"b00a1b686130349cd31a1c9c4143771d64c839927a25cae3fe73f6df6ae500ae","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-05-24T13:31:11Z","title_canon_sha256":"7fac4ba3d9c978a308331204c54833e11508dee0acb973ae92e1e3bda8979e25"},"schema_version":"1.0","source":{"id":"2305.15136","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.15136","created_at":"2026-07-05T07:20:51Z"},{"alias_kind":"arxiv_version","alias_value":"2305.15136v2","created_at":"2026-07-05T07:20:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.15136","created_at":"2026-07-05T07:20:51Z"},{"alias_kind":"pith_short_12","alias_value":"OSI6N6GQSCW2","created_at":"2026-07-05T07:20:51Z"},{"alias_kind":"pith_short_16","alias_value":"OSI6N6GQSCW273WA","created_at":"2026-07-05T07:20:51Z"},{"alias_kind":"pith_short_8","alias_value":"OSI6N6GQ","created_at":"2026-07-05T07:20:51Z"}],"graph_snapshots":[{"event_id":"sha256:5dc9844386f7ba5ecbe3cc27cbbaa25043ed71d3e861afbb3718803a83f732c3","target":"graph","created_at":"2026-07-05T07:20:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2305.15136/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work presents ReSync, a Riemannian subgradient-based algorithm for solving the robust rotation synchronization problem, which arises in various engineering applications. ReSync solves a least-unsquared minimization formulation over the rotation group, which is nonsmooth and nonconvex, and aims at recovering the underlying rotations directly. We provide strong theoretical guarantees for ReSync under the random corruption setting. Specifically, we first show that the initialization procedure of ReSync yields a proper initial point that lies in a local region around the ground-truth rotation","authors_text":"Anthony Man-Cho So, Huikang Liu, Xiao Li","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-05-24T13:31:11Z","title":"ReSync: Riemannian Subgradient-based Robust Rotation Synchronization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.15136","kind":"arxiv","version":2},"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":"sha256:0cd15c388ef69132e19a20661047b94fb1812f9f7e7375df853cf9a8183311f6","target":"record","created_at":"2026-07-05T07:20:51Z","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":"b00a1b686130349cd31a1c9c4143771d64c839927a25cae3fe73f6df6ae500ae","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-05-24T13:31:11Z","title_canon_sha256":"7fac4ba3d9c978a308331204c54833e11508dee0acb973ae92e1e3bda8979e25"},"schema_version":"1.0","source":{"id":"2305.15136","kind":"arxiv","version":2}},"canonical_sha256":"7491e6f8d090adafeec0c1d5b700252f1222184c3309e53c3c3dc98c97762386","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7491e6f8d090adafeec0c1d5b700252f1222184c3309e53c3c3dc98c97762386","first_computed_at":"2026-07-05T07:20:51.244750Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:20:51.244750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WPD8nF2VerXFZ4HVJbMJeMlVSA+tlpvRYnosZ2fyp9cd+Vz9eqEAByjF8JYDCaQ0fUdciuz5Etkewoz5vqezDA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:20:51.245170Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.15136","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cd15c388ef69132e19a20661047b94fb1812f9f7e7375df853cf9a8183311f6","sha256:5dc9844386f7ba5ecbe3cc27cbbaa25043ed71d3e861afbb3718803a83f732c3"],"state_sha256":"0600c57a8cf0cc41eca0c292c3a966ce27be1b6b6a87ca6fcbd499ceb7a7709e"}