{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:CWE3LBDMCXHIANDNR2ZNLNKD3G","short_pith_number":"pith:CWE3LBDM","canonical_record":{"source":{"id":"2310.17363","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2023-10-26T12:56:02Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"7477eeb90614df2e806d3349bbb55ea4500d760ae02f33ced1dea6536fcb5c02","abstract_canon_sha256":"848b1a5272ecf34f674bec86d603fc5ce0314b94881076b194909b026290c958"},"schema_version":"1.0"},"canonical_sha256":"1589b5846c15ce80346d8eb2d5b543d99461c2a55ca0544b40629982a7ea78d6","source":{"kind":"arxiv","id":"2310.17363","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.17363","created_at":"2026-07-05T07:05:32Z"},{"alias_kind":"arxiv_version","alias_value":"2310.17363v1","created_at":"2026-07-05T07:05:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.17363","created_at":"2026-07-05T07:05:32Z"},{"alias_kind":"pith_short_12","alias_value":"CWE3LBDMCXHI","created_at":"2026-07-05T07:05:32Z"},{"alias_kind":"pith_short_16","alias_value":"CWE3LBDMCXHIANDN","created_at":"2026-07-05T07:05:32Z"},{"alias_kind":"pith_short_8","alias_value":"CWE3LBDM","created_at":"2026-07-05T07:05:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:CWE3LBDMCXHIANDNR2ZNLNKD3G","target":"record","payload":{"canonical_record":{"source":{"id":"2310.17363","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2023-10-26T12:56:02Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"7477eeb90614df2e806d3349bbb55ea4500d760ae02f33ced1dea6536fcb5c02","abstract_canon_sha256":"848b1a5272ecf34f674bec86d603fc5ce0314b94881076b194909b026290c958"},"schema_version":"1.0"},"canonical_sha256":"1589b5846c15ce80346d8eb2d5b543d99461c2a55ca0544b40629982a7ea78d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:05:32.560010Z","signature_b64":"QeFBp52H90PLcz9jsfAt67gWwmyT+GMXkTJ+W7MNBRydE1wPvSkn5vOQ6Up6jDKHqCTvJ96BXjdzdY7qPzeaBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1589b5846c15ce80346d8eb2d5b543d99461c2a55ca0544b40629982a7ea78d6","last_reissued_at":"2026-07-05T07:05:32.559495Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:05:32.559495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.17363","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":"2026-07-05T07:05:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kpd2g0Mkw4MPfEGZXictLn+3GxO6bQC9zlF8imYaMCtySXRW9MuMOXY+r4XHedSSPJPdI0tj9a6FISWlJLpjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:20:41.904265Z"},"content_sha256":"cddc8a0f0f09b861dde4d8c15d948997865807c822ff18a38fd43d4e94a74296","schema_version":"1.0","event_id":"sha256:cddc8a0f0f09b861dde4d8c15d948997865807c822ff18a38fd43d4e94a74296"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:CWE3LBDMCXHIANDNR2ZNLNKD3G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Controllability of networked multiagent systems based on linearized Turing's model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Ruichang Zhang, Tianhao Li, Xiaoming Hu, Zhixin Liu, Zhuo Zou","submitted_at":"2023-10-26T12:56:02Z","abstract_excerpt":"Turing's model has been widely used to explain how simple, uniform structures can give rise to complex, patterned structures during the development of organisms. However, it is very hard to establish rigorous theoretical results for the dynamic evolution behavior of Turing's model since it is described by nonlinear partial differential equations. We focus on controllability of Turing's model by linearization and spatial discretization. This linearized model is a networked system whose agents are second order linear systems and these agents interact with each other by Laplacian dynamics on a gr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.17363","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/2310.17363/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":"2026-07-05T07:05:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LvI1Xnarz8/NRDqg21KBsg8TKvJc8O8T6h3M76t+85grzq5cIwiPEyJTKynITW7b3fgyu1+sbYgKAFlNrbWLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:20:41.904782Z"},"content_sha256":"9a04b042bf144505ee4259107c7eebcc61ad0935f74f6eba33756ef42f395777","schema_version":"1.0","event_id":"sha256:9a04b042bf144505ee4259107c7eebcc61ad0935f74f6eba33756ef42f395777"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CWE3LBDMCXHIANDNR2ZNLNKD3G/bundle.json","state_url":"https://pith.science/pith/CWE3LBDMCXHIANDNR2ZNLNKD3G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CWE3LBDMCXHIANDNR2ZNLNKD3G/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":"2026-08-04T13:20:41Z","links":{"resolver":"https://pith.science/pith/CWE3LBDMCXHIANDNR2ZNLNKD3G","bundle":"https://pith.science/pith/CWE3LBDMCXHIANDNR2ZNLNKD3G/bundle.json","state":"https://pith.science/pith/CWE3LBDMCXHIANDNR2ZNLNKD3G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CWE3LBDMCXHIANDNR2ZNLNKD3G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CWE3LBDMCXHIANDNR2ZNLNKD3G","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":"848b1a5272ecf34f674bec86d603fc5ce0314b94881076b194909b026290c958","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2023-10-26T12:56:02Z","title_canon_sha256":"7477eeb90614df2e806d3349bbb55ea4500d760ae02f33ced1dea6536fcb5c02"},"schema_version":"1.0","source":{"id":"2310.17363","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.17363","created_at":"2026-07-05T07:05:32Z"},{"alias_kind":"arxiv_version","alias_value":"2310.17363v1","created_at":"2026-07-05T07:05:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.17363","created_at":"2026-07-05T07:05:32Z"},{"alias_kind":"pith_short_12","alias_value":"CWE3LBDMCXHI","created_at":"2026-07-05T07:05:32Z"},{"alias_kind":"pith_short_16","alias_value":"CWE3LBDMCXHIANDN","created_at":"2026-07-05T07:05:32Z"},{"alias_kind":"pith_short_8","alias_value":"CWE3LBDM","created_at":"2026-07-05T07:05:32Z"}],"graph_snapshots":[{"event_id":"sha256:9a04b042bf144505ee4259107c7eebcc61ad0935f74f6eba33756ef42f395777","target":"graph","created_at":"2026-07-05T07:05:32Z","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/2310.17363/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Turing's model has been widely used to explain how simple, uniform structures can give rise to complex, patterned structures during the development of organisms. However, it is very hard to establish rigorous theoretical results for the dynamic evolution behavior of Turing's model since it is described by nonlinear partial differential equations. We focus on controllability of Turing's model by linearization and spatial discretization. This linearized model is a networked system whose agents are second order linear systems and these agents interact with each other by Laplacian dynamics on a gr","authors_text":"Ruichang Zhang, Tianhao Li, Xiaoming Hu, Zhixin Liu, Zhuo Zou","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2023-10-26T12:56:02Z","title":"Controllability of networked multiagent systems based on linearized Turing's model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.17363","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:cddc8a0f0f09b861dde4d8c15d948997865807c822ff18a38fd43d4e94a74296","target":"record","created_at":"2026-07-05T07:05:32Z","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":"848b1a5272ecf34f674bec86d603fc5ce0314b94881076b194909b026290c958","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2023-10-26T12:56:02Z","title_canon_sha256":"7477eeb90614df2e806d3349bbb55ea4500d760ae02f33ced1dea6536fcb5c02"},"schema_version":"1.0","source":{"id":"2310.17363","kind":"arxiv","version":1}},"canonical_sha256":"1589b5846c15ce80346d8eb2d5b543d99461c2a55ca0544b40629982a7ea78d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1589b5846c15ce80346d8eb2d5b543d99461c2a55ca0544b40629982a7ea78d6","first_computed_at":"2026-07-05T07:05:32.559495Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:05:32.559495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QeFBp52H90PLcz9jsfAt67gWwmyT+GMXkTJ+W7MNBRydE1wPvSkn5vOQ6Up6jDKHqCTvJ96BXjdzdY7qPzeaBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:05:32.560010Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.17363","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cddc8a0f0f09b861dde4d8c15d948997865807c822ff18a38fd43d4e94a74296","sha256:9a04b042bf144505ee4259107c7eebcc61ad0935f74f6eba33756ef42f395777"],"state_sha256":"94a3c385a80469126221fd21d73a75d4ad1e9503f91511f9a64ca0f43b3173b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uyu5wFybTpjjGWoAZ4HWwqOr8uHLBBxJhvHN0hR+FI2IS44JyjcmHvO8NSk+ykaEtfv17vM9lgVw3MRo1f0TAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T13:20:41.908877Z","bundle_sha256":"d7ed068385559b8cbb9e68e505d7c8728faa2a2c75406726af75fd17306f8c8b"}}