{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GFGIQAV5FWODJ2H7X4FL57MCVY","short_pith_number":"pith:GFGIQAV5","canonical_record":{"source":{"id":"1406.5428","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-06-20T15:31:29Z","cross_cats_sorted":[],"title_canon_sha256":"7bdd690842f8ff2b1eeac622106010e76fc250a3ee04b11c3380c7deef607736","abstract_canon_sha256":"259f559f48fdd2d9a26c276e53f7b2dc308b8a28eb0a2f1cbf65fe780e90fb3d"},"schema_version":"1.0"},"canonical_sha256":"314c8802bd2d9c34e8ffbf0abefd82ae08da7a1745251a63032acd9d98e110fc","source":{"kind":"arxiv","id":"1406.5428","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5428","created_at":"2026-05-18T02:39:23Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5428v2","created_at":"2026-05-18T02:39:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5428","created_at":"2026-05-18T02:39:23Z"},{"alias_kind":"pith_short_12","alias_value":"GFGIQAV5FWOD","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GFGIQAV5FWODJ2H7","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GFGIQAV5","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GFGIQAV5FWODJ2H7X4FL57MCVY","target":"record","payload":{"canonical_record":{"source":{"id":"1406.5428","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-06-20T15:31:29Z","cross_cats_sorted":[],"title_canon_sha256":"7bdd690842f8ff2b1eeac622106010e76fc250a3ee04b11c3380c7deef607736","abstract_canon_sha256":"259f559f48fdd2d9a26c276e53f7b2dc308b8a28eb0a2f1cbf65fe780e90fb3d"},"schema_version":"1.0"},"canonical_sha256":"314c8802bd2d9c34e8ffbf0abefd82ae08da7a1745251a63032acd9d98e110fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:23.632558Z","signature_b64":"hN1f9zGuGC6zHimIvQOPaZ62cpEWH8RKadwz0JTWFsORM8LzcMjc8C4BxJ0xgMCIuK1MowD4807+ghLq23oWAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"314c8802bd2d9c34e8ffbf0abefd82ae08da7a1745251a63032acd9d98e110fc","last_reissued_at":"2026-05-18T02:39:23.632207Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:23.632207Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.5428","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:39:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aLeuL+j20kvnHKsBbKIOOLXZnaa9l2KryJH/9FKpk1roqK6p9Gat/O/4fVoWBzJOlK8+DEyVdZYKUY/P077vCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:34:50.394862Z"},"content_sha256":"c500b729b9de186a20a9599ea59969da44139bfebcf6ceac63bac9ffc1e9960e","schema_version":"1.0","event_id":"sha256:c500b729b9de186a20a9599ea59969da44139bfebcf6ceac63bac9ffc1e9960e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GFGIQAV5FWODJ2H7X4FL57MCVY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Synchronization of networks of oscillators with distributed delay coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"E. Schoell, K.B. Blyuss, Y.N. Kyrychko","submitted_at":"2014-06-20T15:31:29Z","abstract_excerpt":"This paper studies the stability of synchronized states in networks where couplings between nodes are characterized by some distributed time delay, and develops a generalized master stability function approach. Using a generic example of Stuart-Landau oscillators, it is shown how the stability of synchronized solutions in networks with distributed delay coupling can be determined through a semi-analytic computation of Floquet exponents. The analysis of stability of fully synchronized and of cluster or splay states is illustrated for several practically important choices of delay distributions "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5428","kind":"arxiv","version":2},"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":"2026-05-18T02:39:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"87CddD9ylCYNqz7EFmd+b4CliOLhpWv2H9Xkdz80QtqsjQkrUzKaqp/5DrbrmsIBeHqXYv7xSh1NEC0JLayLDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:34:50.395718Z"},"content_sha256":"73235808548ff4a6d02c56a4ea1a78c7ddd6c0fc81cfe10ad2ea9ec336f7f298","schema_version":"1.0","event_id":"sha256:73235808548ff4a6d02c56a4ea1a78c7ddd6c0fc81cfe10ad2ea9ec336f7f298"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GFGIQAV5FWODJ2H7X4FL57MCVY/bundle.json","state_url":"https://pith.science/pith/GFGIQAV5FWODJ2H7X4FL57MCVY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GFGIQAV5FWODJ2H7X4FL57MCVY/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":"2026-06-09T19:34:50Z","links":{"resolver":"https://pith.science/pith/GFGIQAV5FWODJ2H7X4FL57MCVY","bundle":"https://pith.science/pith/GFGIQAV5FWODJ2H7X4FL57MCVY/bundle.json","state":"https://pith.science/pith/GFGIQAV5FWODJ2H7X4FL57MCVY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GFGIQAV5FWODJ2H7X4FL57MCVY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GFGIQAV5FWODJ2H7X4FL57MCVY","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":"259f559f48fdd2d9a26c276e53f7b2dc308b8a28eb0a2f1cbf65fe780e90fb3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-06-20T15:31:29Z","title_canon_sha256":"7bdd690842f8ff2b1eeac622106010e76fc250a3ee04b11c3380c7deef607736"},"schema_version":"1.0","source":{"id":"1406.5428","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5428","created_at":"2026-05-18T02:39:23Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5428v2","created_at":"2026-05-18T02:39:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5428","created_at":"2026-05-18T02:39:23Z"},{"alias_kind":"pith_short_12","alias_value":"GFGIQAV5FWOD","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GFGIQAV5FWODJ2H7","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GFGIQAV5","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:73235808548ff4a6d02c56a4ea1a78c7ddd6c0fc81cfe10ad2ea9ec336f7f298","target":"graph","created_at":"2026-05-18T02:39:23Z","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":"This paper studies the stability of synchronized states in networks where couplings between nodes are characterized by some distributed time delay, and develops a generalized master stability function approach. Using a generic example of Stuart-Landau oscillators, it is shown how the stability of synchronized solutions in networks with distributed delay coupling can be determined through a semi-analytic computation of Floquet exponents. The analysis of stability of fully synchronized and of cluster or splay states is illustrated for several practically important choices of delay distributions ","authors_text":"E. Schoell, K.B. Blyuss, Y.N. Kyrychko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-06-20T15:31:29Z","title":"Synchronization of networks of oscillators with distributed delay coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5428","kind":"arxiv","version":2},"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:c500b729b9de186a20a9599ea59969da44139bfebcf6ceac63bac9ffc1e9960e","target":"record","created_at":"2026-05-18T02:39:23Z","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":"259f559f48fdd2d9a26c276e53f7b2dc308b8a28eb0a2f1cbf65fe780e90fb3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-06-20T15:31:29Z","title_canon_sha256":"7bdd690842f8ff2b1eeac622106010e76fc250a3ee04b11c3380c7deef607736"},"schema_version":"1.0","source":{"id":"1406.5428","kind":"arxiv","version":2}},"canonical_sha256":"314c8802bd2d9c34e8ffbf0abefd82ae08da7a1745251a63032acd9d98e110fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"314c8802bd2d9c34e8ffbf0abefd82ae08da7a1745251a63032acd9d98e110fc","first_computed_at":"2026-05-18T02:39:23.632207Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:23.632207Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hN1f9zGuGC6zHimIvQOPaZ62cpEWH8RKadwz0JTWFsORM8LzcMjc8C4BxJ0xgMCIuK1MowD4807+ghLq23oWAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:23.632558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5428","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c500b729b9de186a20a9599ea59969da44139bfebcf6ceac63bac9ffc1e9960e","sha256:73235808548ff4a6d02c56a4ea1a78c7ddd6c0fc81cfe10ad2ea9ec336f7f298"],"state_sha256":"f5949631e2817eae5ef0674411b6fa5d45cd88ee30ba9bc6793371fc8bf62f37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DTOSiK4FuL+idTNihf9upZ3XxMrEODOAIGrJaIbCui6gKwtgUla6/2KLJnRPHC/ax1Hth6mVhJ20WOzj4+m5Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:34:50.399595Z","bundle_sha256":"8bdfad9e0265c5f891bb934616825fac1d8233e95228455b0d95595de161db7d"}}