{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2UOYYO3VNDJ4RCQRLJ3QHJHWWF","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":"5c03c16bde4e5f187a22cee48bd6bd0a7c4f09451174ee73cff22d6665c61405","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-03-16T16:55:55Z","title_canon_sha256":"c4f69319add62410a0c154856e9daaaa53125f09fb985c999a0f378889e0fc5b"},"schema_version":"1.0","source":{"id":"1703.05718","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.05718","created_at":"2026-05-18T00:46:34Z"},{"alias_kind":"arxiv_version","alias_value":"1703.05718v1","created_at":"2026-05-18T00:46:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05718","created_at":"2026-05-18T00:46:34Z"},{"alias_kind":"pith_short_12","alias_value":"2UOYYO3VNDJ4","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2UOYYO3VNDJ4RCQR","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2UOYYO3V","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:917f8f5c9c8a0d00c2a7fbdf59b8e0cf6c31660ce34f81d631488f034b07b8b2","target":"graph","created_at":"2026-05-18T00:46:34Z","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":"Spontaneous symmetry breaking (SSB) is an important phenomenon observed in various fields including physics and biology. In this connection, we here show that the trade-off between attractive and repulsive couplings can induce spontaneous symmetry breaking in a homogeneous system of coupled oscillators. With a simple model of a system of two coupled Stuart-Landau oscillators, we demonstrate how the tendency of attractive coupling in inducing in-phase synchronized (IPS) oscillations and the tendency of repulsive coupling in inducing out-of-phase synchronized (OPS) oscillations compete with each","authors_text":"D. V. Senthilkumar, K. Sathiyadevi, M. Lakshmanan, S. Karthiga, V. K. Chandrasekar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-03-16T16:55:55Z","title":"Spontaneous symmetry breaking due to the trade-off between attractive and repulsive couplings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05718","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":"sha256:2128212c8889865f912156d2dd13a4679b8e5fe4187a9fc10db7a39e193891e6","target":"record","created_at":"2026-05-18T00:46:34Z","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":"5c03c16bde4e5f187a22cee48bd6bd0a7c4f09451174ee73cff22d6665c61405","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-03-16T16:55:55Z","title_canon_sha256":"c4f69319add62410a0c154856e9daaaa53125f09fb985c999a0f378889e0fc5b"},"schema_version":"1.0","source":{"id":"1703.05718","kind":"arxiv","version":1}},"canonical_sha256":"d51d8c3b7568d3c88a115a7703a4f6b16a271d22cd25ab37200a8cba39d90e7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d51d8c3b7568d3c88a115a7703a4f6b16a271d22cd25ab37200a8cba39d90e7f","first_computed_at":"2026-05-18T00:46:34.549581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:34.549581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jy8vZ3EfeCzNlOc1CWGfG6HBDInXgyzI1fmoytYE2RhAL5TV3HGZ1gUQJsGNEeVieflzV5sp8V1fuXaleW8eBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:34.550214Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.05718","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2128212c8889865f912156d2dd13a4679b8e5fe4187a9fc10db7a39e193891e6","sha256:917f8f5c9c8a0d00c2a7fbdf59b8e0cf6c31660ce34f81d631488f034b07b8b2"],"state_sha256":"5726541ce12521fe22fe1964f16c9b348ac331081437f75dfd261acc583b1300"}