{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5K7A6INTL5U73WU37NQPIV7UGA","short_pith_number":"pith:5K7A6INT","canonical_record":{"source":{"id":"1609.09605","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-09-30T05:58:49Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"25d1b0f31047e5c8b1f534684b0b6d80c9f9e58c3587f4db40058c00b4660c12","abstract_canon_sha256":"1cfa15c7d79af98318b30d7d0462ceb5f7358cafe38c3267980cf2428dfb7a7f"},"schema_version":"1.0"},"canonical_sha256":"eabe0f21b35f69fdda9bfb60f457f430146d78dcebd16046107c3c1b69242812","source":{"kind":"arxiv","id":"1609.09605","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.09605","created_at":"2026-05-18T01:03:35Z"},{"alias_kind":"arxiv_version","alias_value":"1609.09605v1","created_at":"2026-05-18T01:03:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09605","created_at":"2026-05-18T01:03:35Z"},{"alias_kind":"pith_short_12","alias_value":"5K7A6INTL5U7","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5K7A6INTL5U73WU3","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5K7A6INT","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5K7A6INTL5U73WU37NQPIV7UGA","target":"record","payload":{"canonical_record":{"source":{"id":"1609.09605","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-09-30T05:58:49Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"25d1b0f31047e5c8b1f534684b0b6d80c9f9e58c3587f4db40058c00b4660c12","abstract_canon_sha256":"1cfa15c7d79af98318b30d7d0462ceb5f7358cafe38c3267980cf2428dfb7a7f"},"schema_version":"1.0"},"canonical_sha256":"eabe0f21b35f69fdda9bfb60f457f430146d78dcebd16046107c3c1b69242812","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:35.555252Z","signature_b64":"HcLtj1tMOdqxLocliGeqHeqSEIZJJeYdjeuzBapeOyOR3WhMZ9BLykrZLSL80/TT9l6Y+I1B/PHUVi4arq4ICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eabe0f21b35f69fdda9bfb60f457f430146d78dcebd16046107c3c1b69242812","last_reissued_at":"2026-05-18T01:03:35.554523Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:35.554523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.09605","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":"2026-05-18T01:03:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JZj1uZl9xb7xY2zYFrA4tglkDRgX+xGeYPLAN1znuTjh0XxNuDf+9JTJdc9XR3e6txXNSDVxBfGu18Ds8zuMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T07:26:58.023779Z"},"content_sha256":"24d0f7096e8a30c8da3051ff7926174210a08a3dc6bf1f671d285a5b48cb18d4","schema_version":"1.0","event_id":"sha256:24d0f7096e8a30c8da3051ff7926174210a08a3dc6bf1f671d285a5b48cb18d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5K7A6INTL5U73WU37NQPIV7UGA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Event-triggered stabilization of coupled dynamical systems with fast Markovian switching","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"nlin.AO","authors_text":"Tianping Chen, Wenlian Lu, Yujuan Han","submitted_at":"2016-09-30T05:58:49Z","abstract_excerpt":"In this paper, stability of linearly coupled dynamical systems with feedback pinning is studied. Event-triggered rules are employed on both diffusion coupling and feedback pinning to reduce the updating load of the coupled system. Here, both the coupling matrix and the set of pinned-nodes vary with time are induced by a homogeneous Markov chain. For each node, the diffusion coupling and feedback pinning are set up from the observation of its neighbors' and target's (if pinned) information at the latest event time and the next event time is triggered by some specified criteria. Two event-trigge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09605","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":"2026-05-18T01:03:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tKz7QjKLT3FKt3ZwsEduPJjOd4yLmp3yryH3fylFwhe9PjIQoyKElLPcAuqOo845h7s2J34nnDmjhzB33MUWBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T07:26:58.024123Z"},"content_sha256":"000f2205e38629140b2b60722e6797596b8d4d1aaceb24f9c35b9270c47c59e5","schema_version":"1.0","event_id":"sha256:000f2205e38629140b2b60722e6797596b8d4d1aaceb24f9c35b9270c47c59e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5K7A6INTL5U73WU37NQPIV7UGA/bundle.json","state_url":"https://pith.science/pith/5K7A6INTL5U73WU37NQPIV7UGA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5K7A6INTL5U73WU37NQPIV7UGA/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":"2026-06-28T07:26:58Z","links":{"resolver":"https://pith.science/pith/5K7A6INTL5U73WU37NQPIV7UGA","bundle":"https://pith.science/pith/5K7A6INTL5U73WU37NQPIV7UGA/bundle.json","state":"https://pith.science/pith/5K7A6INTL5U73WU37NQPIV7UGA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5K7A6INTL5U73WU37NQPIV7UGA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5K7A6INTL5U73WU37NQPIV7UGA","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":"1cfa15c7d79af98318b30d7d0462ceb5f7358cafe38c3267980cf2428dfb7a7f","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-09-30T05:58:49Z","title_canon_sha256":"25d1b0f31047e5c8b1f534684b0b6d80c9f9e58c3587f4db40058c00b4660c12"},"schema_version":"1.0","source":{"id":"1609.09605","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.09605","created_at":"2026-05-18T01:03:35Z"},{"alias_kind":"arxiv_version","alias_value":"1609.09605v1","created_at":"2026-05-18T01:03:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09605","created_at":"2026-05-18T01:03:35Z"},{"alias_kind":"pith_short_12","alias_value":"5K7A6INTL5U7","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5K7A6INTL5U73WU3","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5K7A6INT","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:000f2205e38629140b2b60722e6797596b8d4d1aaceb24f9c35b9270c47c59e5","target":"graph","created_at":"2026-05-18T01:03:35Z","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, stability of linearly coupled dynamical systems with feedback pinning is studied. Event-triggered rules are employed on both diffusion coupling and feedback pinning to reduce the updating load of the coupled system. Here, both the coupling matrix and the set of pinned-nodes vary with time are induced by a homogeneous Markov chain. For each node, the diffusion coupling and feedback pinning are set up from the observation of its neighbors' and target's (if pinned) information at the latest event time and the next event time is triggered by some specified criteria. Two event-trigge","authors_text":"Tianping Chen, Wenlian Lu, Yujuan Han","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-09-30T05:58:49Z","title":"Event-triggered stabilization of coupled dynamical systems with fast Markovian switching"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09605","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":"sha256:24d0f7096e8a30c8da3051ff7926174210a08a3dc6bf1f671d285a5b48cb18d4","target":"record","created_at":"2026-05-18T01:03:35Z","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":"1cfa15c7d79af98318b30d7d0462ceb5f7358cafe38c3267980cf2428dfb7a7f","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-09-30T05:58:49Z","title_canon_sha256":"25d1b0f31047e5c8b1f534684b0b6d80c9f9e58c3587f4db40058c00b4660c12"},"schema_version":"1.0","source":{"id":"1609.09605","kind":"arxiv","version":1}},"canonical_sha256":"eabe0f21b35f69fdda9bfb60f457f430146d78dcebd16046107c3c1b69242812","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eabe0f21b35f69fdda9bfb60f457f430146d78dcebd16046107c3c1b69242812","first_computed_at":"2026-05-18T01:03:35.554523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:35.554523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HcLtj1tMOdqxLocliGeqHeqSEIZJJeYdjeuzBapeOyOR3WhMZ9BLykrZLSL80/TT9l6Y+I1B/PHUVi4arq4ICA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:35.555252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.09605","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24d0f7096e8a30c8da3051ff7926174210a08a3dc6bf1f671d285a5b48cb18d4","sha256:000f2205e38629140b2b60722e6797596b8d4d1aaceb24f9c35b9270c47c59e5"],"state_sha256":"892b55ea9b52af5ec87011969bc9ff580f4e6f44ab5f794277be7e4844a2c4f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oo3k1vUAMvWA7bHyECMTiABXSZfC+qdQknTJJYA9VFSy2rr+7ziCIu45O3un02pU8jtaPsAEeWtXXmIAbvTbAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T07:26:58.026098Z","bundle_sha256":"10ba663e787e261f1a266acb55dee82c9961ca2e2056c084da399aeef87a0611"}}