{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:G6YC5M3Z4BG6NVTZLUG2JLCL3R","short_pith_number":"pith:G6YC5M3Z","canonical_record":{"source":{"id":"1604.03379","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-04-12T12:46:18Z","cross_cats_sorted":[],"title_canon_sha256":"0b380e22aadfb30e3e3ef2ba0cb116be37b29e5a1b570e1e5b6470d89eef1ea7","abstract_canon_sha256":"aeab8d1d4c42c5dd2177b73e42178e161386396e6e95992bf8acc7fa5eaa2217"},"schema_version":"1.0"},"canonical_sha256":"37b02eb379e04de6d6795d0da4ac4bdc672a264cbb9c872c95c902cbe3b935b4","source":{"kind":"arxiv","id":"1604.03379","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03379","created_at":"2026-05-18T01:17:13Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03379v1","created_at":"2026-05-18T01:17:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03379","created_at":"2026-05-18T01:17:13Z"},{"alias_kind":"pith_short_12","alias_value":"G6YC5M3Z4BG6","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"G6YC5M3Z4BG6NVTZ","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"G6YC5M3Z","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:G6YC5M3Z4BG6NVTZLUG2JLCL3R","target":"record","payload":{"canonical_record":{"source":{"id":"1604.03379","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-04-12T12:46:18Z","cross_cats_sorted":[],"title_canon_sha256":"0b380e22aadfb30e3e3ef2ba0cb116be37b29e5a1b570e1e5b6470d89eef1ea7","abstract_canon_sha256":"aeab8d1d4c42c5dd2177b73e42178e161386396e6e95992bf8acc7fa5eaa2217"},"schema_version":"1.0"},"canonical_sha256":"37b02eb379e04de6d6795d0da4ac4bdc672a264cbb9c872c95c902cbe3b935b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:13.767550Z","signature_b64":"jd67xxAizSReFEotP0VO5POEugfFUe+lrhmeS86OzS6rGxG9wuKDE+0Jcj5KjN/9yFtLp6ylxp3+wsvUi0qHAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37b02eb379e04de6d6795d0da4ac4bdc672a264cbb9c872c95c902cbe3b935b4","last_reissued_at":"2026-05-18T01:17:13.766955Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:13.766955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.03379","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":"2026-05-18T01:17:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cYNKvkD+mqgpAdhlJ2RoJ/ocoij0XCZ/9eMTlFxVvbKChoIbOELBkf2NlO7a8wk7QOSMcgSJkgXXTxPpzvlFBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:05:45.493417Z"},"content_sha256":"5ed54b6dfa893b58dc6889ad276ae7c8ddb9767ed3f9479bde3658411cd5cde1","schema_version":"1.0","event_id":"sha256:5ed54b6dfa893b58dc6889ad276ae7c8ddb9767ed3f9479bde3658411cd5cde1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:G6YC5M3Z4BG6NVTZLUG2JLCL3R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Synchronization of linearly coupled reaction-diffusion neural networks with hybrid coupling and time-varying delays via aperiodically intermittent pinning control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Lingjun Zhou, Xiwei Liu, Zhang Chen","submitted_at":"2016-04-12T12:46:18Z","abstract_excerpt":"In this paper, the complete synchronization problem of linearly coupled neural networks with reaction-diffusion terms and time-varying delays via aperiodically intermittent pinning control is investigated. The coupling matrix for the network can be asymmetric. Compared with state coupling in the synchronization literature, we design a novel distributed coupling protocol by using the reaction-diffusion coupling-spatial coupling, which can accelerate the synchronization process. This can be regarded as the main difference between this paper and previous works. Using the Lyapunov function and the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03379","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":"2026-05-18T01:17:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"exayNsN4dnTkLzWetTMX1eD/cHrEy5oMcysIGpParDDsoRh/s81muFNs5mvX8QbeS9t92DFM8PtxpP89QcNRAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:05:45.493765Z"},"content_sha256":"ee0e7a09475fa193c084e23df74a8e4775d56bb6d9fd57a3d88b63f1633c5c65","schema_version":"1.0","event_id":"sha256:ee0e7a09475fa193c084e23df74a8e4775d56bb6d9fd57a3d88b63f1633c5c65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G6YC5M3Z4BG6NVTZLUG2JLCL3R/bundle.json","state_url":"https://pith.science/pith/G6YC5M3Z4BG6NVTZLUG2JLCL3R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G6YC5M3Z4BG6NVTZLUG2JLCL3R/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":"2026-06-22T16:05:45Z","links":{"resolver":"https://pith.science/pith/G6YC5M3Z4BG6NVTZLUG2JLCL3R","bundle":"https://pith.science/pith/G6YC5M3Z4BG6NVTZLUG2JLCL3R/bundle.json","state":"https://pith.science/pith/G6YC5M3Z4BG6NVTZLUG2JLCL3R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G6YC5M3Z4BG6NVTZLUG2JLCL3R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:G6YC5M3Z4BG6NVTZLUG2JLCL3R","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":"aeab8d1d4c42c5dd2177b73e42178e161386396e6e95992bf8acc7fa5eaa2217","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-04-12T12:46:18Z","title_canon_sha256":"0b380e22aadfb30e3e3ef2ba0cb116be37b29e5a1b570e1e5b6470d89eef1ea7"},"schema_version":"1.0","source":{"id":"1604.03379","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03379","created_at":"2026-05-18T01:17:13Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03379v1","created_at":"2026-05-18T01:17:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03379","created_at":"2026-05-18T01:17:13Z"},{"alias_kind":"pith_short_12","alias_value":"G6YC5M3Z4BG6","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"G6YC5M3Z4BG6NVTZ","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"G6YC5M3Z","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:ee0e7a09475fa193c084e23df74a8e4775d56bb6d9fd57a3d88b63f1633c5c65","target":"graph","created_at":"2026-05-18T01:17:13Z","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":"In this paper, the complete synchronization problem of linearly coupled neural networks with reaction-diffusion terms and time-varying delays via aperiodically intermittent pinning control is investigated. The coupling matrix for the network can be asymmetric. Compared with state coupling in the synchronization literature, we design a novel distributed coupling protocol by using the reaction-diffusion coupling-spatial coupling, which can accelerate the synchronization process. This can be regarded as the main difference between this paper and previous works. Using the Lyapunov function and the","authors_text":"Lingjun Zhou, Xiwei Liu, Zhang Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-04-12T12:46:18Z","title":"Synchronization of linearly coupled reaction-diffusion neural networks with hybrid coupling and time-varying delays via aperiodically intermittent pinning control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03379","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":"sha256:5ed54b6dfa893b58dc6889ad276ae7c8ddb9767ed3f9479bde3658411cd5cde1","target":"record","created_at":"2026-05-18T01:17:13Z","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":"aeab8d1d4c42c5dd2177b73e42178e161386396e6e95992bf8acc7fa5eaa2217","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-04-12T12:46:18Z","title_canon_sha256":"0b380e22aadfb30e3e3ef2ba0cb116be37b29e5a1b570e1e5b6470d89eef1ea7"},"schema_version":"1.0","source":{"id":"1604.03379","kind":"arxiv","version":1}},"canonical_sha256":"37b02eb379e04de6d6795d0da4ac4bdc672a264cbb9c872c95c902cbe3b935b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37b02eb379e04de6d6795d0da4ac4bdc672a264cbb9c872c95c902cbe3b935b4","first_computed_at":"2026-05-18T01:17:13.766955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:13.766955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jd67xxAizSReFEotP0VO5POEugfFUe+lrhmeS86OzS6rGxG9wuKDE+0Jcj5KjN/9yFtLp6ylxp3+wsvUi0qHAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:13.767550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03379","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ed54b6dfa893b58dc6889ad276ae7c8ddb9767ed3f9479bde3658411cd5cde1","sha256:ee0e7a09475fa193c084e23df74a8e4775d56bb6d9fd57a3d88b63f1633c5c65"],"state_sha256":"dcd30ec471504cfec28a9add4e5778d7ac5f1314d520ee8f5ecd37aeb0a59a83"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sSY/raWmseRO+9JrjJy+3zxcmr5bLGBoyE3xrKt99DQX+cFGVxQcsF5VKaTygxoKIqRTeDW1V89TiOHfg82FCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T16:05:45.495697Z","bundle_sha256":"99822f66faaa7e22a49d41dbe1e3819e849416f9de4f7ecedca973bee8ae8a9e"}}