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Within this parameter region, the system exhibits bimodal performance: it either reaches near-perfect synchronization or becomes trapped in stable multi-cluster states, where symmetrically phase-offset subgroups mutually reinforce one another and prevent global synchrony.","weakest_assumption":"The model assumes that interactions remain symmetric enough for phase-offset subgroups to form and persist as stable attractors without additional unmodeled perturbations or heterogeneities among agents."}},"verdict_id":"008c6cf9-3818-447d-b6ed-ec389d61111f"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9afd79cb44e30dfa0e43e49ee0466f44555aef1205037be4be505bf9b089fdfc","target":"record","created_at":"2026-05-20T00:03:45Z","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":"77952a0d0f7ab825a7acbc2ffa2d2ca99ccda13c59b06f2e3b5c433957dd4d82","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.MA","submitted_at":"2026-05-17T00:38:49Z","title_canon_sha256":"2449d19986e3325721d9476e96a25548c8471638c9d0f969611aec79d54f7034"},"schema_version":"1.0","source":{"id":"2605.17206","kind":"arxiv","version":1}},"canonical_sha256":"97cc15bf5bb3b2a417f951e53fcc23c2fe7d45a7f3befdbc31bc174ea31dc22c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97cc15bf5bb3b2a417f951e53fcc23c2fe7d45a7f3befdbc31bc174ea31dc22c","first_computed_at":"2026-05-20T00:03:45.128447Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:45.128447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dxQDgu6kuKFYTfB9XXfGywNaYGzRtfjrNF5z6jU1KeNInUB/BJr9Gv1QKEuz+0GLpn+T4bS0VjXfsLk8MRM8DA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:45.129288Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.17206","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9afd79cb44e30dfa0e43e49ee0466f44555aef1205037be4be505bf9b089fdfc","sha256:d0170e2ebf5a0037db86893c576161211b3354463b00e4da5679467aaba443f6"],"state_sha256":"71462c7f310f5f01ac1f8ee6076ce08023503d7464478e5fb43a2a775e23016a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q46cbUzHq8Up5EfxRggAbsHc3yXLE7isfIsAmL/ixkDOn0OntRvR+2PDoPGxuAticGjnU6ooq55UvvgbSf+ZCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T15:19:10.125968Z","bundle_sha256":"961fe0ef48e1d65500c24ac613928ab1689a268540c3646cf098c2a7015dcff6"}}