{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KVQ5XIFNRUIWZY7SKSJYN3X7GF","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":"6508660e952eb89501141e97da3a218934374c3a4b3ed630d1ccbf9e19ca382f","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-03-08T12:15:42Z","title_canon_sha256":"fbd56ee3dccc2d726222f19348f65db41d94e7f026afc9f76c33033cd4d993b2"},"schema_version":"1.0","source":{"id":"1203.1767","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1767","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1767v1","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1767","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"KVQ5XIFNRUIW","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KVQ5XIFNRUIWZY7S","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KVQ5XIFN","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:8f9b9f9f525a3d48b5ffa622ca5b89f4bc8633959347d728d6fed9ebf5ada895","target":"graph","created_at":"2026-05-18T01:58:13Z","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":"We describe a solvable model of a phase oscillator network on a circle with infinite-range Mexican-hat-type interaction. We derive self-consistent equations of the order parameters and obtain three non-trivial solutions characterized by the rotation number. We also derive relevant characteristics such as the location-dependent distributions of the resultant frequencies of desynchronized oscillators. Simulation results closely agree with the theoretical ones.","authors_text":"Masato Okada, Tatsuya Uezu, Tomoyuki Kimoto","cross_cats":["cond-mat.stat-mech","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-03-08T12:15:42Z","title":"Solvable model of a phase oscillator network on a circle with infinite-range Mexican-hat-type interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1767","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":"sha256:971ded0e5bd301e27f89f7f67fedb150500f263a7e00747ab9b1d8b15f97669a","target":"record","created_at":"2026-05-18T01:58:13Z","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":"6508660e952eb89501141e97da3a218934374c3a4b3ed630d1ccbf9e19ca382f","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-03-08T12:15:42Z","title_canon_sha256":"fbd56ee3dccc2d726222f19348f65db41d94e7f026afc9f76c33033cd4d993b2"},"schema_version":"1.0","source":{"id":"1203.1767","kind":"arxiv","version":1}},"canonical_sha256":"5561dba0ad8d116ce3f2549386eeff31772492fbbee74c926e690350708cf0e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5561dba0ad8d116ce3f2549386eeff31772492fbbee74c926e690350708cf0e3","first_computed_at":"2026-05-18T01:58:13.064447Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:13.064447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XwirzekoxdRG9JZRuAyamDfVxCv8twdvJmD63HQEgcMzbZh3sQyCNVbCZW/8m4pYpTs7gfIVQl04D3pKoX8DCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:13.065040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1767","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:971ded0e5bd301e27f89f7f67fedb150500f263a7e00747ab9b1d8b15f97669a","sha256:8f9b9f9f525a3d48b5ffa622ca5b89f4bc8633959347d728d6fed9ebf5ada895"],"state_sha256":"49a14c44955f4f5699b9280e5f70f1ff914e43f3fda3dabfeabf5330cb5681f0"}