{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:OYOUQHPHDB4EUDXMWY7NOWN5QN","short_pith_number":"pith:OYOUQHPH","canonical_record":{"source":{"id":"2606.19871","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-18T07:29:42Z","cross_cats_sorted":["cs.MA","cs.SY","eess.SY"],"title_canon_sha256":"9739e8c9de3621f5c2fc1fdfab557b075356b864712d4a6f7a2c3f7549427f99","abstract_canon_sha256":"7863d89cca7e6378b5be8fd7d78cd626688e90ba09543b03e3c080d2258ffa8f"},"schema_version":"1.0"},"canonical_sha256":"761d481de718784a0eecb63ed759bd836df165936fa40904dd6b966b12763889","source":{"kind":"arxiv","id":"2606.19871","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19871","created_at":"2026-06-19T16:12:37Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19871v1","created_at":"2026-06-19T16:12:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19871","created_at":"2026-06-19T16:12:37Z"},{"alias_kind":"pith_short_12","alias_value":"OYOUQHPHDB4E","created_at":"2026-06-19T16:12:37Z"},{"alias_kind":"pith_short_16","alias_value":"OYOUQHPHDB4EUDXM","created_at":"2026-06-19T16:12:37Z"},{"alias_kind":"pith_short_8","alias_value":"OYOUQHPH","created_at":"2026-06-19T16:12:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:OYOUQHPHDB4EUDXMWY7NOWN5QN","target":"record","payload":{"canonical_record":{"source":{"id":"2606.19871","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-18T07:29:42Z","cross_cats_sorted":["cs.MA","cs.SY","eess.SY"],"title_canon_sha256":"9739e8c9de3621f5c2fc1fdfab557b075356b864712d4a6f7a2c3f7549427f99","abstract_canon_sha256":"7863d89cca7e6378b5be8fd7d78cd626688e90ba09543b03e3c080d2258ffa8f"},"schema_version":"1.0"},"canonical_sha256":"761d481de718784a0eecb63ed759bd836df165936fa40904dd6b966b12763889","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:37.433142Z","signature_b64":"ldc8B2c39pbeLY9WoRRDynyh2B2uMs00ws+pCL71ykP5VXtEPg1XLUHMmbifWubd4gf8fnfnfGHtASI3THyIDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"761d481de718784a0eecb63ed759bd836df165936fa40904dd6b966b12763889","last_reissued_at":"2026-06-19T16:12:37.432798Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:37.432798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.19871","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:12:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dY6mWNOmCsFo9uQJNlXmR1sLkrqQ/HSzNvykQgAydXRdYJ5M454xF9QLGjD1AdM8Dzhe1GCL3fNtbUOOvPb2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T04:45:17.305431Z"},"content_sha256":"8d453ec3b89df16b712d21c0b38f31671ed2fdac8be74919759e893d744577e3","schema_version":"1.0","event_id":"sha256:8d453ec3b89df16b712d21c0b38f31671ed2fdac8be74919759e893d744577e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:OYOUQHPHDB4EUDXMWY7NOWN5QN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semiglobal Input-Delay Tolerance Algorithm for Distributed Nonconvex Optimization of Networked Nonlinear Systems","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.MA","cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Dinxin He, Jing-Zhe Xu, Ming-Feng Ge, Yan-Wu Wang, Zhi-Wei Liu","submitted_at":"2026-06-18T07:29:42Z","abstract_excerpt":"This paper studies a class of distributed optimization problems in networked nonlinear systems (NNSs) subject to input delays and consensus constraints. It introduces input-delay tolerant semiglobal convergence (IDTSC), meaning that for any prescribed compact initial set there exists an admissible delay bound under which the optimal solution is computed within consensus constraints and all node states converge to the solution. Building on a hierarchical design and input-to-state stability analysis, a new semiglobal input-delay tolerant (SIDT) algorithm is developed that practically achieves ID"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19871","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.19871/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:12:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FTi6W6CN8uWhuXC+jxLYM70fwFKJSk2yVkk88i8QofoCDSYiop78u1dYk5iehNJSvao9M+jo48OOmQBZtTIeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T04:45:17.305802Z"},"content_sha256":"27d7789adf84f57c4d275b34143f93d38a540805d5f52681012fc3ab120d1e61","schema_version":"1.0","event_id":"sha256:27d7789adf84f57c4d275b34143f93d38a540805d5f52681012fc3ab120d1e61"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OYOUQHPHDB4EUDXMWY7NOWN5QN/bundle.json","state_url":"https://pith.science/pith/OYOUQHPHDB4EUDXMWY7NOWN5QN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OYOUQHPHDB4EUDXMWY7NOWN5QN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-30T04:45:17Z","links":{"resolver":"https://pith.science/pith/OYOUQHPHDB4EUDXMWY7NOWN5QN","bundle":"https://pith.science/pith/OYOUQHPHDB4EUDXMWY7NOWN5QN/bundle.json","state":"https://pith.science/pith/OYOUQHPHDB4EUDXMWY7NOWN5QN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OYOUQHPHDB4EUDXMWY7NOWN5QN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OYOUQHPHDB4EUDXMWY7NOWN5QN","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":"7863d89cca7e6378b5be8fd7d78cd626688e90ba09543b03e3c080d2258ffa8f","cross_cats_sorted":["cs.MA","cs.SY","eess.SY"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-18T07:29:42Z","title_canon_sha256":"9739e8c9de3621f5c2fc1fdfab557b075356b864712d4a6f7a2c3f7549427f99"},"schema_version":"1.0","source":{"id":"2606.19871","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19871","created_at":"2026-06-19T16:12:37Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19871v1","created_at":"2026-06-19T16:12:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19871","created_at":"2026-06-19T16:12:37Z"},{"alias_kind":"pith_short_12","alias_value":"OYOUQHPHDB4E","created_at":"2026-06-19T16:12:37Z"},{"alias_kind":"pith_short_16","alias_value":"OYOUQHPHDB4EUDXM","created_at":"2026-06-19T16:12:37Z"},{"alias_kind":"pith_short_8","alias_value":"OYOUQHPH","created_at":"2026-06-19T16:12:37Z"}],"graph_snapshots":[{"event_id":"sha256:27d7789adf84f57c4d275b34143f93d38a540805d5f52681012fc3ab120d1e61","target":"graph","created_at":"2026-06-19T16:12:37Z","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/2606.19871/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper studies a class of distributed optimization problems in networked nonlinear systems (NNSs) subject to input delays and consensus constraints. It introduces input-delay tolerant semiglobal convergence (IDTSC), meaning that for any prescribed compact initial set there exists an admissible delay bound under which the optimal solution is computed within consensus constraints and all node states converge to the solution. Building on a hierarchical design and input-to-state stability analysis, a new semiglobal input-delay tolerant (SIDT) algorithm is developed that practically achieves ID","authors_text":"Dinxin He, Jing-Zhe Xu, Ming-Feng Ge, Yan-Wu Wang, Zhi-Wei Liu","cross_cats":["cs.MA","cs.SY","eess.SY"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-18T07:29:42Z","title":"Semiglobal Input-Delay Tolerance Algorithm for Distributed Nonconvex Optimization of Networked Nonlinear Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19871","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":"sha256:8d453ec3b89df16b712d21c0b38f31671ed2fdac8be74919759e893d744577e3","target":"record","created_at":"2026-06-19T16:12:37Z","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":"7863d89cca7e6378b5be8fd7d78cd626688e90ba09543b03e3c080d2258ffa8f","cross_cats_sorted":["cs.MA","cs.SY","eess.SY"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2026-06-18T07:29:42Z","title_canon_sha256":"9739e8c9de3621f5c2fc1fdfab557b075356b864712d4a6f7a2c3f7549427f99"},"schema_version":"1.0","source":{"id":"2606.19871","kind":"arxiv","version":1}},"canonical_sha256":"761d481de718784a0eecb63ed759bd836df165936fa40904dd6b966b12763889","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"761d481de718784a0eecb63ed759bd836df165936fa40904dd6b966b12763889","first_computed_at":"2026-06-19T16:12:37.432798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:37.432798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ldc8B2c39pbeLY9WoRRDynyh2B2uMs00ws+pCL71ykP5VXtEPg1XLUHMmbifWubd4gf8fnfnfGHtASI3THyIDg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:37.433142Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.19871","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d453ec3b89df16b712d21c0b38f31671ed2fdac8be74919759e893d744577e3","sha256:27d7789adf84f57c4d275b34143f93d38a540805d5f52681012fc3ab120d1e61"],"state_sha256":"0fcaf068d5e0ff5103f116b4be2096f24bcc1e72c302649e18eb539119e2fc11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p0ZYgevFQX7Q/65Qhu0xDTpoSbYwUOjh5/O58mGWbajfx1BZIgm0rahAn9t0S35Eq6qNUaEHDxta3xjPWv6dDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T04:45:17.308019Z","bundle_sha256":"66fb169f6212d745f8724df43356cd1a781ffedec3cb531cbf0029ac03a18228"}}