{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:PTKXIWO7SW5RM2P4E3HWCBIZPP","short_pith_number":"pith:PTKXIWO7","canonical_record":{"source":{"id":"2010.00355","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-10-01T12:43:35Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"40e8c48e0dda2bee1781998c8a36d462c7a410b3e256857bb286e57a86a689c7","abstract_canon_sha256":"bac3a51c703083baa8121229d306a93b2590448e6fef6c3cc1c60d10e861361f"},"schema_version":"1.0"},"canonical_sha256":"7cd57459df95bb1669fc26cf6105197bd28ee7a814e5a3695c34446ac2bda681","source":{"kind":"arxiv","id":"2010.00355","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.00355","created_at":"2026-07-05T03:09:04Z"},{"alias_kind":"arxiv_version","alias_value":"2010.00355v1","created_at":"2026-07-05T03:09:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.00355","created_at":"2026-07-05T03:09:04Z"},{"alias_kind":"pith_short_12","alias_value":"PTKXIWO7SW5R","created_at":"2026-07-05T03:09:04Z"},{"alias_kind":"pith_short_16","alias_value":"PTKXIWO7SW5RM2P4","created_at":"2026-07-05T03:09:04Z"},{"alias_kind":"pith_short_8","alias_value":"PTKXIWO7","created_at":"2026-07-05T03:09:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:PTKXIWO7SW5RM2P4E3HWCBIZPP","target":"record","payload":{"canonical_record":{"source":{"id":"2010.00355","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-10-01T12:43:35Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"40e8c48e0dda2bee1781998c8a36d462c7a410b3e256857bb286e57a86a689c7","abstract_canon_sha256":"bac3a51c703083baa8121229d306a93b2590448e6fef6c3cc1c60d10e861361f"},"schema_version":"1.0"},"canonical_sha256":"7cd57459df95bb1669fc26cf6105197bd28ee7a814e5a3695c34446ac2bda681","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:09:04.857407Z","signature_b64":"pbRvNhPXYRlxtMTRpRwBHPbVLcSs5zCUHaHdVnXF3xy9h7kMemuYGkGmzdocZQeNKn0Zr5bIXdfbCsuWgsV6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cd57459df95bb1669fc26cf6105197bd28ee7a814e5a3695c34446ac2bda681","last_reissued_at":"2026-07-05T03:09:04.856939Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:09:04.856939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.00355","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":"2026-07-05T03:09:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gqW3ry7Q79h1+h4X/GDpI/wz/v+lAUk1gQ1AOzm+UibKxEOU0TpYamqpQPIqbTUTvPy5/F5yFp0QxQDMOfTxCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:38:50.581154Z"},"content_sha256":"ab41006ce22509ca6b22047a93c6f52affbca728b5b747f02c86e9b27f54f40b","schema_version":"1.0","event_id":"sha256:ab41006ce22509ca6b22047a93c6f52affbca728b5b747f02c86e9b27f54f40b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:PTKXIWO7SW5RM2P4E3HWCBIZPP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributed two-time-scale methods over clustered networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Dinh Hoa Nguyen, Thiem V. Pham, Thinh T. Doan","submitted_at":"2020-10-01T12:43:35Z","abstract_excerpt":"In this paper, we consider consensus problems over a network of nodes, where the network is divided into a number of clusters. We are interested in the case where the communication topology within each cluster is dense as compared to the sparse communication across the clusters. Moreover, each cluster has one leader which can communicate with other leaders in different clusters. The goal of the nodes is to agree at some common value under the presence of communication delays across the clusters.\n  Our main contribution is to propose a novel distributed two-time-scale consensus algorithm, which"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.00355","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/2010.00355/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":"2026-07-05T03:09:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JgutPLClGETwBm8kA2V7F7Imd+6x5k8Tl0HFg8te0cT/QUfs+Elkl89ctrDYsBL6sD7sKNmLhdbNV4cGtI7TCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:38:50.581545Z"},"content_sha256":"0ecca058f081abe8f56369f8c5feaa84ecb59a7495c994bd4c78cf6f2c0f8d17","schema_version":"1.0","event_id":"sha256:0ecca058f081abe8f56369f8c5feaa84ecb59a7495c994bd4c78cf6f2c0f8d17"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PTKXIWO7SW5RM2P4E3HWCBIZPP/bundle.json","state_url":"https://pith.science/pith/PTKXIWO7SW5RM2P4E3HWCBIZPP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PTKXIWO7SW5RM2P4E3HWCBIZPP/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":"2026-07-07T12:38:50Z","links":{"resolver":"https://pith.science/pith/PTKXIWO7SW5RM2P4E3HWCBIZPP","bundle":"https://pith.science/pith/PTKXIWO7SW5RM2P4E3HWCBIZPP/bundle.json","state":"https://pith.science/pith/PTKXIWO7SW5RM2P4E3HWCBIZPP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PTKXIWO7SW5RM2P4E3HWCBIZPP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:PTKXIWO7SW5RM2P4E3HWCBIZPP","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":"bac3a51c703083baa8121229d306a93b2590448e6fef6c3cc1c60d10e861361f","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-10-01T12:43:35Z","title_canon_sha256":"40e8c48e0dda2bee1781998c8a36d462c7a410b3e256857bb286e57a86a689c7"},"schema_version":"1.0","source":{"id":"2010.00355","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.00355","created_at":"2026-07-05T03:09:04Z"},{"alias_kind":"arxiv_version","alias_value":"2010.00355v1","created_at":"2026-07-05T03:09:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.00355","created_at":"2026-07-05T03:09:04Z"},{"alias_kind":"pith_short_12","alias_value":"PTKXIWO7SW5R","created_at":"2026-07-05T03:09:04Z"},{"alias_kind":"pith_short_16","alias_value":"PTKXIWO7SW5RM2P4","created_at":"2026-07-05T03:09:04Z"},{"alias_kind":"pith_short_8","alias_value":"PTKXIWO7","created_at":"2026-07-05T03:09:04Z"}],"graph_snapshots":[{"event_id":"sha256:0ecca058f081abe8f56369f8c5feaa84ecb59a7495c994bd4c78cf6f2c0f8d17","target":"graph","created_at":"2026-07-05T03:09:04Z","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/2010.00355/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we consider consensus problems over a network of nodes, where the network is divided into a number of clusters. We are interested in the case where the communication topology within each cluster is dense as compared to the sparse communication across the clusters. Moreover, each cluster has one leader which can communicate with other leaders in different clusters. The goal of the nodes is to agree at some common value under the presence of communication delays across the clusters.\n  Our main contribution is to propose a novel distributed two-time-scale consensus algorithm, which","authors_text":"Dinh Hoa Nguyen, Thiem V. Pham, Thinh T. Doan","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-10-01T12:43:35Z","title":"Distributed two-time-scale methods over clustered networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.00355","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:ab41006ce22509ca6b22047a93c6f52affbca728b5b747f02c86e9b27f54f40b","target":"record","created_at":"2026-07-05T03:09:04Z","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":"bac3a51c703083baa8121229d306a93b2590448e6fef6c3cc1c60d10e861361f","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-10-01T12:43:35Z","title_canon_sha256":"40e8c48e0dda2bee1781998c8a36d462c7a410b3e256857bb286e57a86a689c7"},"schema_version":"1.0","source":{"id":"2010.00355","kind":"arxiv","version":1}},"canonical_sha256":"7cd57459df95bb1669fc26cf6105197bd28ee7a814e5a3695c34446ac2bda681","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cd57459df95bb1669fc26cf6105197bd28ee7a814e5a3695c34446ac2bda681","first_computed_at":"2026-07-05T03:09:04.856939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:09:04.856939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pbRvNhPXYRlxtMTRpRwBHPbVLcSs5zCUHaHdVnXF3xy9h7kMemuYGkGmzdocZQeNKn0Zr5bIXdfbCsuWgsV6BA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:09:04.857407Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.00355","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab41006ce22509ca6b22047a93c6f52affbca728b5b747f02c86e9b27f54f40b","sha256:0ecca058f081abe8f56369f8c5feaa84ecb59a7495c994bd4c78cf6f2c0f8d17"],"state_sha256":"2ea0c9e36a6ec5b33670973906c3c1d4e7915feb9d562f0187d5e1818a9b9669"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aZQisLdj/PuHcq6HAHm0jXXCA6xriipIC1Ho8B42R44fS+nhSqms34GdCtvy0bEJQhP94Bk+3YIoeXvcIvqTBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T12:38:50.583914Z","bundle_sha256":"c3db7607895c1b8c51330e222dc86b04b8138a2b0e850963cd0a5268860d4fa9"}}