{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HST7J6JDDDIP3667UYBVJRXTCO","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":"b3576e3bf91b8be3b7f34471abddccccfe31e155ae14d8e2f61ec51278bd49c8","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2026-08-10T18:00:03Z","title_canon_sha256":"b584c3c7db72936937c0daeb27aa5f9829bd55d5cbc49a95b6a4b61a2f6cf3d7"},"schema_version":"1.0","source":{"id":"2608.10076","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.10076","created_at":"2026-08-12T00:22:44Z"},{"alias_kind":"arxiv_version","alias_value":"2608.10076v1","created_at":"2026-08-12T00:22:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.10076","created_at":"2026-08-12T00:22:44Z"},{"alias_kind":"pith_short_12","alias_value":"HST7J6JDDDIP","created_at":"2026-08-12T00:22:44Z"},{"alias_kind":"pith_short_16","alias_value":"HST7J6JDDDIP3667","created_at":"2026-08-12T00:22:44Z"},{"alias_kind":"pith_short_8","alias_value":"HST7J6JD","created_at":"2026-08-12T00:22:44Z"}],"graph_snapshots":[{"event_id":"sha256:e7dc3ba02a5c440c7916986af7d7f38f0d89925a8299d7ee4fd41311732d5ad8","target":"graph","created_at":"2026-08-12T00:22:44Z","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/2608.10076/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Time delays are ubiquitous in physical and biological networked systems, playing a fundamental role in the emergence and stability of collective behavior. Yet, existing theoretical methods for synchronization analysis of delay-coupled systems are largely limited to networks with homogeneous degree distributions. Here, we extend the master stability function framework to a broad class of degree-heterogeneous, weighted, and directed delay-coupled networks. The analysis reveals that synchronization can be enhanced in heterogeneous networks compared to homogeneous ones, including all-to-all networ","authors_text":"Adilson E. Motter, Ana Elisa D. Barioni, Arthur N. Montanari","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2026-08-10T18:00:03Z","title":"Generalized Master Stability of Heterogeneous Delay-Coupled Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.10076","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":"sha256:81d8e9fd619ef78062816eb0c745cdab6ac8a39a4bfe9748ab47469b350e3f4c","target":"record","created_at":"2026-08-12T00:22:44Z","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":"b3576e3bf91b8be3b7f34471abddccccfe31e155ae14d8e2f61ec51278bd49c8","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2026-08-10T18:00:03Z","title_canon_sha256":"b584c3c7db72936937c0daeb27aa5f9829bd55d5cbc49a95b6a4b61a2f6cf3d7"},"schema_version":"1.0","source":{"id":"2608.10076","kind":"arxiv","version":1}},"canonical_sha256":"3ca7f4f92318d0fdfbdfa60354c6f313b63c9d96e2b0a446f984f4b58caaf6ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ca7f4f92318d0fdfbdfa60354c6f313b63c9d96e2b0a446f984f4b58caaf6ae","first_computed_at":"2026-08-12T00:22:44.181562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-12T00:22:44.181562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ie3X0QD9JjV6oRDlQ/cJIqDuP/4JAH3xGZg8d7tJD6W3JEeVLJkTmMmdb15xwbFIC7SU1JSKSf4+/NNcNJO/Bg==","signature_status":"signed_v1","signed_at":"2026-08-12T00:22:44.183193Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.10076","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81d8e9fd619ef78062816eb0c745cdab6ac8a39a4bfe9748ab47469b350e3f4c","sha256:e7dc3ba02a5c440c7916986af7d7f38f0d89925a8299d7ee4fd41311732d5ad8"],"state_sha256":"8d65ae09571e7da456051e731348f60f94e453de01e5843890f5f952d2d3cd97"}