{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GQJJ343WAYHDVTAJRM4UQJP25F","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":"a09c747aac81e292ece73d10976e53f149826a0445618f68cee3f370df70e7e6","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-06-03T13:09:40Z","title_canon_sha256":"0c40981cbb01547ecf4f987dc8e97fa431e31090bf6b17d0ca4c10ee5aed2c69"},"schema_version":"1.0","source":{"id":"2506.02840","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.02840","created_at":"2026-07-05T11:15:10Z"},{"alias_kind":"arxiv_version","alias_value":"2506.02840v1","created_at":"2026-07-05T11:15:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.02840","created_at":"2026-07-05T11:15:10Z"},{"alias_kind":"pith_short_12","alias_value":"GQJJ343WAYHD","created_at":"2026-07-05T11:15:10Z"},{"alias_kind":"pith_short_16","alias_value":"GQJJ343WAYHDVTAJ","created_at":"2026-07-05T11:15:10Z"},{"alias_kind":"pith_short_8","alias_value":"GQJJ343W","created_at":"2026-07-05T11:15:10Z"}],"graph_snapshots":[{"event_id":"sha256:eacac4a681b38ffc1957babe518223e5f6d095980a716efcadc8e0b28a778243","target":"graph","created_at":"2026-07-05T11:15:10Z","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/2506.02840/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we investigate the problem of dual-rate consensus under transmission delays, where the control updates happen at a faster rate than the measurements being received. We assume that the measurements are delayed by a fixed delay and show that for all delays and rates, the system reaches a consensus if and only if the communication graph of the agents is connected and the control gain is chosen in a specific interval. Based on these results we dive deeper into the convergence properties and investigate how the convergence changes when we change the rate for sending measurements. We ","authors_text":"David Umsonst, Mina Ferizbegovic","cross_cats":["cs.SY","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-06-03T13:09:40Z","title":"On dual-rate consensus under transmission delays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.02840","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":"sha256:4ee5a98273bc4bf492f882318fcbeecf14a610e42af48817aa72236a1af701e0","target":"record","created_at":"2026-07-05T11:15:10Z","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":"a09c747aac81e292ece73d10976e53f149826a0445618f68cee3f370df70e7e6","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-06-03T13:09:40Z","title_canon_sha256":"0c40981cbb01547ecf4f987dc8e97fa431e31090bf6b17d0ca4c10ee5aed2c69"},"schema_version":"1.0","source":{"id":"2506.02840","kind":"arxiv","version":1}},"canonical_sha256":"34129df376060e3acc098b394825fae95a6cd9bcefbb327dfdd2c3f6c3a33c61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34129df376060e3acc098b394825fae95a6cd9bcefbb327dfdd2c3f6c3a33c61","first_computed_at":"2026-07-05T11:15:10.201089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:15:10.201089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E8PdSLIYNzC7bcXV8l79/lJiRjMPCuo+lUrFh6C9w2XBcF7EDW2FPlKDcSGaDwdcteFQEpJazlNk24vSiGWNDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:15:10.201580Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.02840","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ee5a98273bc4bf492f882318fcbeecf14a610e42af48817aa72236a1af701e0","sha256:eacac4a681b38ffc1957babe518223e5f6d095980a716efcadc8e0b28a778243"],"state_sha256":"1c147d176c4c4aa4a9bccc84d4533eed903a9407f8076cfbe4b437d650fcc2ff"}