{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:N4MXT56XD2S6O7H2KQL6AD65VG","short_pith_number":"pith:N4MXT56X","schema_version":"1.0","canonical_sha256":"6f1979f7d71ea5e77cfa5417e00fdda98a2e46735776a16e7f85b609c140da70","source":{"kind":"arxiv","id":"1803.04542","version":2},"attestation_state":"computed","paper":{"title":"Symmetries of Chimera States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Felix P. Kemeth, Katharina Krischer, Sindre W. Haugland","submitted_at":"2018-03-12T21:27:30Z","abstract_excerpt":"Symmetry broken states arise naturally in oscillatory networks. In this Letter, we investigate chaotic attractors in an ensemble of four mean-coupled Stuart-Landau oscillators with two oscillators being synchronized. We report that these states with partially broken symmetry, so-called chimera states, have different set-wise symmetries in the incoherent oscillators, and in particular some are and some are not invariant under a permutation symmetry on average. This allows for a classification of different chimera states in small networks. We conclude our report with a discussion of related stat"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1803.04542","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-03-12T21:27:30Z","cross_cats_sorted":[],"title_canon_sha256":"cc65973aed9924d4db57ca805c34afd94d7feae4d9305c9d1ee0190a38bb8b95","abstract_canon_sha256":"26df90192122d5f213e1b346f05993a7ea32db7f6b2c736fe328874c973659eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:46.095922Z","signature_b64":"7TLAMmd164m7m5HMnWpGV8l+UDIysu3fK1rKSAWxlq4HoDKjf8A2opZsIR6MUxO+Db3ziHMc7n+xCQ7IaOUqAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f1979f7d71ea5e77cfa5417e00fdda98a2e46735776a16e7f85b609c140da70","last_reissued_at":"2026-05-18T00:14:46.095435Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:46.095435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetries of Chimera States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Felix P. Kemeth, Katharina Krischer, Sindre W. Haugland","submitted_at":"2018-03-12T21:27:30Z","abstract_excerpt":"Symmetry broken states arise naturally in oscillatory networks. In this Letter, we investigate chaotic attractors in an ensemble of four mean-coupled Stuart-Landau oscillators with two oscillators being synchronized. We report that these states with partially broken symmetry, so-called chimera states, have different set-wise symmetries in the incoherent oscillators, and in particular some are and some are not invariant under a permutation symmetry on average. This allows for a classification of different chimera states in small networks. We conclude our report with a discussion of related stat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04542","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1803.04542","created_at":"2026-05-18T00:14:46.095503+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.04542v2","created_at":"2026-05-18T00:14:46.095503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04542","created_at":"2026-05-18T00:14:46.095503+00:00"},{"alias_kind":"pith_short_12","alias_value":"N4MXT56XD2S6","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"N4MXT56XD2S6O7H2","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"N4MXT56X","created_at":"2026-05-18T12:32:40.477152+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/N4MXT56XD2S6O7H2KQL6AD65VG","json":"https://pith.science/pith/N4MXT56XD2S6O7H2KQL6AD65VG.json","graph_json":"https://pith.science/api/pith-number/N4MXT56XD2S6O7H2KQL6AD65VG/graph.json","events_json":"https://pith.science/api/pith-number/N4MXT56XD2S6O7H2KQL6AD65VG/events.json","paper":"https://pith.science/paper/N4MXT56X"},"agent_actions":{"view_html":"https://pith.science/pith/N4MXT56XD2S6O7H2KQL6AD65VG","download_json":"https://pith.science/pith/N4MXT56XD2S6O7H2KQL6AD65VG.json","view_paper":"https://pith.science/paper/N4MXT56X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.04542&json=true","fetch_graph":"https://pith.science/api/pith-number/N4MXT56XD2S6O7H2KQL6AD65VG/graph.json","fetch_events":"https://pith.science/api/pith-number/N4MXT56XD2S6O7H2KQL6AD65VG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N4MXT56XD2S6O7H2KQL6AD65VG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N4MXT56XD2S6O7H2KQL6AD65VG/action/storage_attestation","attest_author":"https://pith.science/pith/N4MXT56XD2S6O7H2KQL6AD65VG/action/author_attestation","sign_citation":"https://pith.science/pith/N4MXT56XD2S6O7H2KQL6AD65VG/action/citation_signature","submit_replication":"https://pith.science/pith/N4MXT56XD2S6O7H2KQL6AD65VG/action/replication_record"}},"created_at":"2026-05-18T00:14:46.095503+00:00","updated_at":"2026-05-18T00:14:46.095503+00:00"}