{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:P63JTTIRKXKLVRX3R7YMZYQWNG","short_pith_number":"pith:P63JTTIR","canonical_record":{"source":{"id":"1707.00748","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-03T20:21:15Z","cross_cats_sorted":[],"title_canon_sha256":"ff69b9d0be93389e6037fdce7ac12287bde766cac01067bb9b57296903079d5a","abstract_canon_sha256":"b57585bad113b525d33843416164d06331c99af8edb917ebdb1bc8d19845048e"},"schema_version":"1.0"},"canonical_sha256":"7fb699cd1155d4bac6fb8ff0cce21669879eded8bb4d7daa470877277a8aff92","source":{"kind":"arxiv","id":"1707.00748","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00748","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00748v1","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00748","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"P63JTTIRKXKL","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"P63JTTIRKXKLVRX3","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"P63JTTIR","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:P63JTTIRKXKLVRX3R7YMZYQWNG","target":"record","payload":{"canonical_record":{"source":{"id":"1707.00748","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-03T20:21:15Z","cross_cats_sorted":[],"title_canon_sha256":"ff69b9d0be93389e6037fdce7ac12287bde766cac01067bb9b57296903079d5a","abstract_canon_sha256":"b57585bad113b525d33843416164d06331c99af8edb917ebdb1bc8d19845048e"},"schema_version":"1.0"},"canonical_sha256":"7fb699cd1155d4bac6fb8ff0cce21669879eded8bb4d7daa470877277a8aff92","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:31.908881Z","signature_b64":"Q34drEs1oi2kP5SSTDGvlmuqkSWB+BWw8Gkkv0oBAvZoewshEsBsgyepPx8JlXdsn6qdXqsSAbgrQRrl6fezBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fb699cd1155d4bac6fb8ff0cce21669879eded8bb4d7daa470877277a8aff92","last_reissued_at":"2026-05-18T00:16:31.908489Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:31.908489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.00748","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":"2026-05-18T00:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i+xGuLt+lM1d7I4GMyOcVt9JDclfqNBE7Fhj98YWV5yhyochS3WYhWuTWkhciq4hlI4dIZ7hyF+RJp8oCm/vBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:31:08.357195Z"},"content_sha256":"fd87128f2fe67cec3913adee534086f4722c521caa1a2844562139b17591e759","schema_version":"1.0","event_id":"sha256:fd87128f2fe67cec3913adee534086f4722c521caa1a2844562139b17591e759"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:P63JTTIRKXKLVRX3R7YMZYQWNG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cluster synchronization of diffusively-coupled nonlinear systems: A contraction based approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Biswadip Dey, Elizabeth N. Davison, Naomi Ehrich Leonard, Zahra Aminzare","submitted_at":"2017-07-03T20:21:15Z","abstract_excerpt":"Finding the conditions that foster synchronization in networked oscillatory systems is critical to understanding a wide range of biological and mechanical systems. However, the conditions proved in the literature for synchronization in nonlinear systems with linear coupling, such as has been used to model neuronal networks, are in general not strict enough to accurately determine the system behavior. We leverage contraction theory to derive new sufficient conditions for cluster synchronization in terms of the network structure, for a network where the intrinsic nonlinear dynamics of each node "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00748","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":"2026-05-18T00:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LvXV1e+VmSez2cqXu8KIUNFPYxB6RLG8i5dc+H9jYJUKgstH/YP+4h23Pi8iweuuZ2GMskZRpIWSl5TzaFJbBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:31:08.357876Z"},"content_sha256":"75e679c5a71edf4deee88b00a98de532a9e30ed8b6abad2c6ea1d3bbcdd22776","schema_version":"1.0","event_id":"sha256:75e679c5a71edf4deee88b00a98de532a9e30ed8b6abad2c6ea1d3bbcdd22776"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P63JTTIRKXKLVRX3R7YMZYQWNG/bundle.json","state_url":"https://pith.science/pith/P63JTTIRKXKLVRX3R7YMZYQWNG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P63JTTIRKXKLVRX3R7YMZYQWNG/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":"2026-05-30T20:31:08Z","links":{"resolver":"https://pith.science/pith/P63JTTIRKXKLVRX3R7YMZYQWNG","bundle":"https://pith.science/pith/P63JTTIRKXKLVRX3R7YMZYQWNG/bundle.json","state":"https://pith.science/pith/P63JTTIRKXKLVRX3R7YMZYQWNG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P63JTTIRKXKLVRX3R7YMZYQWNG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:P63JTTIRKXKLVRX3R7YMZYQWNG","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":"b57585bad113b525d33843416164d06331c99af8edb917ebdb1bc8d19845048e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-03T20:21:15Z","title_canon_sha256":"ff69b9d0be93389e6037fdce7ac12287bde766cac01067bb9b57296903079d5a"},"schema_version":"1.0","source":{"id":"1707.00748","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00748","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00748v1","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00748","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"P63JTTIRKXKL","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"P63JTTIRKXKLVRX3","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"P63JTTIR","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:75e679c5a71edf4deee88b00a98de532a9e30ed8b6abad2c6ea1d3bbcdd22776","target":"graph","created_at":"2026-05-18T00:16:31Z","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":"Finding the conditions that foster synchronization in networked oscillatory systems is critical to understanding a wide range of biological and mechanical systems. However, the conditions proved in the literature for synchronization in nonlinear systems with linear coupling, such as has been used to model neuronal networks, are in general not strict enough to accurately determine the system behavior. We leverage contraction theory to derive new sufficient conditions for cluster synchronization in terms of the network structure, for a network where the intrinsic nonlinear dynamics of each node ","authors_text":"Biswadip Dey, Elizabeth N. Davison, Naomi Ehrich Leonard, Zahra Aminzare","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-03T20:21:15Z","title":"Cluster synchronization of diffusively-coupled nonlinear systems: A contraction based approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00748","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:fd87128f2fe67cec3913adee534086f4722c521caa1a2844562139b17591e759","target":"record","created_at":"2026-05-18T00:16:31Z","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":"b57585bad113b525d33843416164d06331c99af8edb917ebdb1bc8d19845048e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-03T20:21:15Z","title_canon_sha256":"ff69b9d0be93389e6037fdce7ac12287bde766cac01067bb9b57296903079d5a"},"schema_version":"1.0","source":{"id":"1707.00748","kind":"arxiv","version":1}},"canonical_sha256":"7fb699cd1155d4bac6fb8ff0cce21669879eded8bb4d7daa470877277a8aff92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fb699cd1155d4bac6fb8ff0cce21669879eded8bb4d7daa470877277a8aff92","first_computed_at":"2026-05-18T00:16:31.908489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:31.908489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q34drEs1oi2kP5SSTDGvlmuqkSWB+BWw8Gkkv0oBAvZoewshEsBsgyepPx8JlXdsn6qdXqsSAbgrQRrl6fezBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:31.908881Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.00748","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd87128f2fe67cec3913adee534086f4722c521caa1a2844562139b17591e759","sha256:75e679c5a71edf4deee88b00a98de532a9e30ed8b6abad2c6ea1d3bbcdd22776"],"state_sha256":"e5fae477eba8c3cbb04dfa138fe93e8db94e88637078da4e957de8591af97ff6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uUJmf/jvArFNEEc/7VW3oissI7bNBP4C7aixyLxdRpuqEhn9//82iRsAvY9DRyBzbu0NqbchvkN4VGR0jox4CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T20:31:08.361395Z","bundle_sha256":"058639ff4112bc255b38257f006036c229c741d98fbcef14f235aa22a1e46ec2"}}