{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YMMP57CLDAI6NR2WLLO6LK75IR","short_pith_number":"pith:YMMP57CL","schema_version":"1.0","canonical_sha256":"c318fefc4b1811e6c7565adde5abfd444c559008d8ac32b0b3ff2eccbc9b1d4a","source":{"kind":"arxiv","id":"1705.01038","version":2},"attestation_state":"computed","paper":{"title":"Noise-induced stabilization of collective dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Antonio Politi, Pau Clusella","submitted_at":"2017-05-02T15:50:59Z","abstract_excerpt":"We illustrate a counter-intuitive effect of an additive stochastic force, which acts independently on each element of an ensemble of globally coupled oscillators. We show numerically and semi-analytically that a very small white noise is able to stabilize an otherwise linearly unstable collective periodic regime. Microscopic simulations reveal two noise-induced bifurcations of different nature towards self-consistent partial synchrony. We develop a macroscopic treatment solving the corresponding nonlinear Fokker-Planck equation by means of a perturbative approach. The associated linear stabili"},"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":"1705.01038","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-05-02T15:50:59Z","cross_cats_sorted":[],"title_canon_sha256":"9bb410c2de71b2db8ad19c5cbfe374febb1d9e676cd51a3c879728ecb6749825","abstract_canon_sha256":"687da867794ff5f07ede823d01876a8eb29bd548fb6d57075936f09ba3b4e88b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:44.105506Z","signature_b64":"ECmt4hw7weaC0wx6xlr4YYHMCZq9CBNHdhp4Ol4I3uITjgTMBk6Cnmh5yeeKP2to4rBOYEXRZLYVwJZrkYxWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c318fefc4b1811e6c7565adde5abfd444c559008d8ac32b0b3ff2eccbc9b1d4a","last_reissued_at":"2026-05-18T00:41:44.104869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:44.104869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noise-induced stabilization of collective dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Antonio Politi, Pau Clusella","submitted_at":"2017-05-02T15:50:59Z","abstract_excerpt":"We illustrate a counter-intuitive effect of an additive stochastic force, which acts independently on each element of an ensemble of globally coupled oscillators. We show numerically and semi-analytically that a very small white noise is able to stabilize an otherwise linearly unstable collective periodic regime. Microscopic simulations reveal two noise-induced bifurcations of different nature towards self-consistent partial synchrony. We develop a macroscopic treatment solving the corresponding nonlinear Fokker-Planck equation by means of a perturbative approach. The associated linear stabili"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01038","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":"1705.01038","created_at":"2026-05-18T00:41:44.104981+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.01038v2","created_at":"2026-05-18T00:41:44.104981+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01038","created_at":"2026-05-18T00:41:44.104981+00:00"},{"alias_kind":"pith_short_12","alias_value":"YMMP57CLDAI6","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"YMMP57CLDAI6NR2W","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"YMMP57CL","created_at":"2026-05-18T12:31:56.362134+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/YMMP57CLDAI6NR2WLLO6LK75IR","json":"https://pith.science/pith/YMMP57CLDAI6NR2WLLO6LK75IR.json","graph_json":"https://pith.science/api/pith-number/YMMP57CLDAI6NR2WLLO6LK75IR/graph.json","events_json":"https://pith.science/api/pith-number/YMMP57CLDAI6NR2WLLO6LK75IR/events.json","paper":"https://pith.science/paper/YMMP57CL"},"agent_actions":{"view_html":"https://pith.science/pith/YMMP57CLDAI6NR2WLLO6LK75IR","download_json":"https://pith.science/pith/YMMP57CLDAI6NR2WLLO6LK75IR.json","view_paper":"https://pith.science/paper/YMMP57CL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.01038&json=true","fetch_graph":"https://pith.science/api/pith-number/YMMP57CLDAI6NR2WLLO6LK75IR/graph.json","fetch_events":"https://pith.science/api/pith-number/YMMP57CLDAI6NR2WLLO6LK75IR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YMMP57CLDAI6NR2WLLO6LK75IR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YMMP57CLDAI6NR2WLLO6LK75IR/action/storage_attestation","attest_author":"https://pith.science/pith/YMMP57CLDAI6NR2WLLO6LK75IR/action/author_attestation","sign_citation":"https://pith.science/pith/YMMP57CLDAI6NR2WLLO6LK75IR/action/citation_signature","submit_replication":"https://pith.science/pith/YMMP57CLDAI6NR2WLLO6LK75IR/action/replication_record"}},"created_at":"2026-05-18T00:41:44.104981+00:00","updated_at":"2026-05-18T00:41:44.104981+00:00"}