{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:TX3GV7VMUBVATFZR7LVPO667DU","short_pith_number":"pith:TX3GV7VM","schema_version":"1.0","canonical_sha256":"9df66afeaca06a099731faeaf77bdf1d2eac8dbc324a941070cc5685d16433e7","source":{"kind":"arxiv","id":"1507.05383","version":1},"attestation_state":"computed","paper":{"title":"Landau damping effects in the synchronization of conformist and contrarian oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Hongjie Bi, Jie Liu, S. Boccaletti, Shuguang Guan, Tian Qiu, Yue Zhang, Zonghua Liu","submitted_at":"2015-07-20T05:10:32Z","abstract_excerpt":"Two decades ago, a phenomenon resembling Landau damping was described in the synchronization of globally coupled oscillators: the evidence of a regime where the order parameter decays when linear theory predicts neutral stability for the incoherent state. We here show that such an effect is far more generic, as soon as phase oscillators couple to their mean field according to their natural frequencies, being then grouped into two distinct populations of conformists and contrarians. We report the analytical solution of this latter situation, which allows determining the critical coupling streng"},"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":"1507.05383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-07-20T05:10:32Z","cross_cats_sorted":[],"title_canon_sha256":"ac87305280406b7540daa8b902dc151d8ca4894d01e5fac4274c644f778b1fca","abstract_canon_sha256":"a2ea4a51a57ddc547141dcd8c81e333f7e3db685733ddbf21d7df8a9a6c125b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:36.983244Z","signature_b64":"Ixn52sJiw/wZ1MvRH0NchLFrcCMNF/AC8mWy0gExSUljD9iBv0pzdX4aN/Ke4A8bNm5lFvVDgIdGa/gGgCGpBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9df66afeaca06a099731faeaf77bdf1d2eac8dbc324a941070cc5685d16433e7","last_reissued_at":"2026-05-18T01:36:36.982653Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:36.982653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Landau damping effects in the synchronization of conformist and contrarian oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Hongjie Bi, Jie Liu, S. Boccaletti, Shuguang Guan, Tian Qiu, Yue Zhang, Zonghua Liu","submitted_at":"2015-07-20T05:10:32Z","abstract_excerpt":"Two decades ago, a phenomenon resembling Landau damping was described in the synchronization of globally coupled oscillators: the evidence of a regime where the order parameter decays when linear theory predicts neutral stability for the incoherent state. We here show that such an effect is far more generic, as soon as phase oscillators couple to their mean field according to their natural frequencies, being then grouped into two distinct populations of conformists and contrarians. We report the analytical solution of this latter situation, which allows determining the critical coupling streng"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05383","kind":"arxiv","version":1},"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":"1507.05383","created_at":"2026-05-18T01:36:36.982748+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.05383v1","created_at":"2026-05-18T01:36:36.982748+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05383","created_at":"2026-05-18T01:36:36.982748+00:00"},{"alias_kind":"pith_short_12","alias_value":"TX3GV7VMUBVA","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"TX3GV7VMUBVATFZR","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"TX3GV7VM","created_at":"2026-05-18T12:29:42.218222+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/TX3GV7VMUBVATFZR7LVPO667DU","json":"https://pith.science/pith/TX3GV7VMUBVATFZR7LVPO667DU.json","graph_json":"https://pith.science/api/pith-number/TX3GV7VMUBVATFZR7LVPO667DU/graph.json","events_json":"https://pith.science/api/pith-number/TX3GV7VMUBVATFZR7LVPO667DU/events.json","paper":"https://pith.science/paper/TX3GV7VM"},"agent_actions":{"view_html":"https://pith.science/pith/TX3GV7VMUBVATFZR7LVPO667DU","download_json":"https://pith.science/pith/TX3GV7VMUBVATFZR7LVPO667DU.json","view_paper":"https://pith.science/paper/TX3GV7VM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.05383&json=true","fetch_graph":"https://pith.science/api/pith-number/TX3GV7VMUBVATFZR7LVPO667DU/graph.json","fetch_events":"https://pith.science/api/pith-number/TX3GV7VMUBVATFZR7LVPO667DU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TX3GV7VMUBVATFZR7LVPO667DU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TX3GV7VMUBVATFZR7LVPO667DU/action/storage_attestation","attest_author":"https://pith.science/pith/TX3GV7VMUBVATFZR7LVPO667DU/action/author_attestation","sign_citation":"https://pith.science/pith/TX3GV7VMUBVATFZR7LVPO667DU/action/citation_signature","submit_replication":"https://pith.science/pith/TX3GV7VMUBVATFZR7LVPO667DU/action/replication_record"}},"created_at":"2026-05-18T01:36:36.982748+00:00","updated_at":"2026-05-18T01:36:36.982748+00:00"}