{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NTYXCJKE7E743JTGXLK3354BEJ","short_pith_number":"pith:NTYXCJKE","canonical_record":{"source":{"id":"1709.06679","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-09-19T23:42:59Z","cross_cats_sorted":[],"title_canon_sha256":"b8407d8c5ea6f7cd93fbc59732904fde533558ae8aff9a4cf813152715c0ae3f","abstract_canon_sha256":"c3bea08a581d2513473f9c3c0ab1036abf3c67b263b7ebfeb380a9cd365e9424"},"schema_version":"1.0"},"canonical_sha256":"6cf1712544f93fcda666bad5bdf781226437269f8a59a20ec1a77045d7f0f613","source":{"kind":"arxiv","id":"1709.06679","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06679","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06679v1","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06679","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"pith_short_12","alias_value":"NTYXCJKE7E74","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NTYXCJKE7E743JTG","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NTYXCJKE","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NTYXCJKE7E743JTGXLK3354BEJ","target":"record","payload":{"canonical_record":{"source":{"id":"1709.06679","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-09-19T23:42:59Z","cross_cats_sorted":[],"title_canon_sha256":"b8407d8c5ea6f7cd93fbc59732904fde533558ae8aff9a4cf813152715c0ae3f","abstract_canon_sha256":"c3bea08a581d2513473f9c3c0ab1036abf3c67b263b7ebfeb380a9cd365e9424"},"schema_version":"1.0"},"canonical_sha256":"6cf1712544f93fcda666bad5bdf781226437269f8a59a20ec1a77045d7f0f613","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:40.828899Z","signature_b64":"6sZSln8ZUgi1KZ5LAkBKvVNdBWB7UN7OM9pX6K9OydZheQkGwbOdaRX/PyiZmWfq+EjsrHpSQUHLjUwuV1ycAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cf1712544f93fcda666bad5bdf781226437269f8a59a20ec1a77045d7f0f613","last_reissued_at":"2026-05-18T00:34:40.828079Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:40.828079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.06679","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":"2026-05-18T00:34:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C5s+rYRSwFnOGuEKxVXHgKVsR8I93llr1/LaEuwjFZKe8hpPb2x5BzJiHdAjFC11cY4nfnMvojK1j5W66wsXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:59:55.648143Z"},"content_sha256":"eb64c007c4d103924d33b8193d7c3def2af23898afd5fadae4f1552962796c13","schema_version":"1.0","event_id":"sha256:eb64c007c4d103924d33b8193d7c3def2af23898afd5fadae4f1552962796c13"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NTYXCJKE7E743JTGXLK3354BEJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Controllability and data-driven identification of bipartite consensus on nonlinear signed networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Mathias Hudoba de Badyn, Mehran Mesbahi, Siavash Alemzadeh","submitted_at":"2017-09-19T23:42:59Z","abstract_excerpt":"Nonlinear networked systems are of interest in several areas of research, such as multi-agent systems and social networks. In this paper, we examine the controllability of several classes of nonlinear networked dynamics on which the underlying graph admits negative weights. Such signed networks exhibit bipartite clustering when the underlying graph is structurally balanced. We show that structural balance is the key ingredient inducing uncontrollability when combined with a leader-node symmetry and a certain type of dynamical symmetry. We then examine the problem of extracting the bipartite st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06679","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":""},"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":"2026-05-18T00:34:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lEgWT8L8g8o8XFYcqg5DXZiB3x7VGCxoIS/cpq4DBqwqzqcELv2POmLK+nXuXxaF8+fiYffbE+zi1X1ZtV06Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:59:55.649076Z"},"content_sha256":"ceca9638cd667b1485a011280e6e046ef5dad957169ce91c0c18bfc2ac0f2523","schema_version":"1.0","event_id":"sha256:ceca9638cd667b1485a011280e6e046ef5dad957169ce91c0c18bfc2ac0f2523"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NTYXCJKE7E743JTGXLK3354BEJ/bundle.json","state_url":"https://pith.science/pith/NTYXCJKE7E743JTGXLK3354BEJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NTYXCJKE7E743JTGXLK3354BEJ/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":"2026-05-31T06:59:55Z","links":{"resolver":"https://pith.science/pith/NTYXCJKE7E743JTGXLK3354BEJ","bundle":"https://pith.science/pith/NTYXCJKE7E743JTGXLK3354BEJ/bundle.json","state":"https://pith.science/pith/NTYXCJKE7E743JTGXLK3354BEJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NTYXCJKE7E743JTGXLK3354BEJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NTYXCJKE7E743JTGXLK3354BEJ","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":"c3bea08a581d2513473f9c3c0ab1036abf3c67b263b7ebfeb380a9cd365e9424","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-09-19T23:42:59Z","title_canon_sha256":"b8407d8c5ea6f7cd93fbc59732904fde533558ae8aff9a4cf813152715c0ae3f"},"schema_version":"1.0","source":{"id":"1709.06679","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06679","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06679v1","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06679","created_at":"2026-05-18T00:34:40Z"},{"alias_kind":"pith_short_12","alias_value":"NTYXCJKE7E74","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NTYXCJKE7E743JTG","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NTYXCJKE","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:ceca9638cd667b1485a011280e6e046ef5dad957169ce91c0c18bfc2ac0f2523","target":"graph","created_at":"2026-05-18T00:34:40Z","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":"Nonlinear networked systems are of interest in several areas of research, such as multi-agent systems and social networks. In this paper, we examine the controllability of several classes of nonlinear networked dynamics on which the underlying graph admits negative weights. Such signed networks exhibit bipartite clustering when the underlying graph is structurally balanced. We show that structural balance is the key ingredient inducing uncontrollability when combined with a leader-node symmetry and a certain type of dynamical symmetry. We then examine the problem of extracting the bipartite st","authors_text":"Mathias Hudoba de Badyn, Mehran Mesbahi, Siavash Alemzadeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-09-19T23:42:59Z","title":"Controllability and data-driven identification of bipartite consensus on nonlinear signed networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06679","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:eb64c007c4d103924d33b8193d7c3def2af23898afd5fadae4f1552962796c13","target":"record","created_at":"2026-05-18T00:34:40Z","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":"c3bea08a581d2513473f9c3c0ab1036abf3c67b263b7ebfeb380a9cd365e9424","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-09-19T23:42:59Z","title_canon_sha256":"b8407d8c5ea6f7cd93fbc59732904fde533558ae8aff9a4cf813152715c0ae3f"},"schema_version":"1.0","source":{"id":"1709.06679","kind":"arxiv","version":1}},"canonical_sha256":"6cf1712544f93fcda666bad5bdf781226437269f8a59a20ec1a77045d7f0f613","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cf1712544f93fcda666bad5bdf781226437269f8a59a20ec1a77045d7f0f613","first_computed_at":"2026-05-18T00:34:40.828079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:40.828079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6sZSln8ZUgi1KZ5LAkBKvVNdBWB7UN7OM9pX6K9OydZheQkGwbOdaRX/PyiZmWfq+EjsrHpSQUHLjUwuV1ycAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:40.828899Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.06679","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb64c007c4d103924d33b8193d7c3def2af23898afd5fadae4f1552962796c13","sha256:ceca9638cd667b1485a011280e6e046ef5dad957169ce91c0c18bfc2ac0f2523"],"state_sha256":"0785a87062fa889eb28825ce33411cac6335766c27a10d1c5cfe70765758e324"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vQ4rVPfuO1l0qBuhEps2beStzGbcixMLOdfle26sr6gqF7D7Qxkr2FcZgyzGMz8w6rAzPQUXwm17lXuDv2FxCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:59:55.654431Z","bundle_sha256":"a18630a21d5d26cc98ea528a0d2ceeb410dcea1dd55163a41184e95d126be693"}}