{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JF345ZIFH4K7TCRZNWHD6BDDPY","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":"43a712d629c7566af0abfe0423f746e74e057a8d627b02b841274234e710564d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2013-07-04T14:01:57Z","title_canon_sha256":"e90814486c055bf2909310314bd5668bc450d2ad750aef5cb6907c481a341423"},"schema_version":"1.0","source":{"id":"1307.1332","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.1332","created_at":"2026-05-18T03:18:53Z"},{"alias_kind":"arxiv_version","alias_value":"1307.1332v2","created_at":"2026-05-18T03:18:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1332","created_at":"2026-05-18T03:18:53Z"},{"alias_kind":"pith_short_12","alias_value":"JF345ZIFH4K7","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JF345ZIFH4K7TCRZ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JF345ZIF","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:ee74fcdf29e6fddf8b05aacb8b25b828f5def40d3962ed677d640822372991fb","target":"graph","created_at":"2026-05-18T03:18:53Z","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":"Much of the past work on asynchronous approximate Byzantine consensus has assumed scalar inputs at the nodes [4, 8]. Recent work has yielded approximate Byzantine consensus algorithms for the case when the input at each node is a d-dimensional vector, and the nodes must reach consensus on a vector in the convex hull of the input vectors at the fault-free nodes [9, 13]. The d-dimensional vectors can be equivalently viewed as points in the d-dimensional Euclidean space. Thus, the algorithms in [9, 13] require the fault-free nodes to decide on a point in the d-dimensional space.\n  In our recent w","authors_text":"Lewis Tseng, Nitin Vaidya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2013-07-04T14:01:57Z","title":"Byzantine Convex Consensus: An Optimal Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1332","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:d5466b7090cb7edd34b99a3eb3d8414ee30fc0f0c448935aeccfeec867fa5d87","target":"record","created_at":"2026-05-18T03:18:53Z","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":"43a712d629c7566af0abfe0423f746e74e057a8d627b02b841274234e710564d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2013-07-04T14:01:57Z","title_canon_sha256":"e90814486c055bf2909310314bd5668bc450d2ad750aef5cb6907c481a341423"},"schema_version":"1.0","source":{"id":"1307.1332","kind":"arxiv","version":2}},"canonical_sha256":"4977cee5053f15f98a396d8e3f04637e0bcdabbc0f0a25523c03db668d921ccf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4977cee5053f15f98a396d8e3f04637e0bcdabbc0f0a25523c03db668d921ccf","first_computed_at":"2026-05-18T03:18:53.060181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:53.060181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7rDSN+UUyLerBQLxa6JkvlJqoaxHSTU56/q/szDqlcmqMSD6RKHbpzJdr5jnzhd8k/7imjqyCSYJuoxsvT1wCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:53.060629Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.1332","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5466b7090cb7edd34b99a3eb3d8414ee30fc0f0c448935aeccfeec867fa5d87","sha256:ee74fcdf29e6fddf8b05aacb8b25b828f5def40d3962ed677d640822372991fb"],"state_sha256":"34c4ac371b887fc3d23903dde37311c4b553515325b8a62b381574b9489a5651"}