{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:RATDK5HALZ4G4FDFKTZJAI5XXV","short_pith_number":"pith:RATDK5HA","schema_version":"1.0","canonical_sha256":"88263574e05e786e146554f29023b7bd46886741a3a2028c0173480c37f1d85d","source":{"kind":"arxiv","id":"1305.3116","version":2},"attestation_state":"computed","paper":{"title":"Critical manifold of globally coupled overdamped anharmonic oscillators driven by additive Gaussian white noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"R\\\"udiger K\\\"ursten, Susanne G\\\"utter, Ulrich Behn","submitted_at":"2013-05-14T11:34:59Z","abstract_excerpt":"We prove for an infinite array of globally coupled overdamped anharmonic oscillators subject to additive Gaussian white noise the existence of a well-behaved critical manifold in the parameter space which separates a symmetric phase from a symmetry broken phase. Given two of the system parameters there is an unique critical value of the third. The proof exploits that the critical control parameter a_c is bounded by its limit values for weak and for strong noise. In these limits the mechanism of symmetry breaking differs. For weak noise the distribution is Gaussian and the symmetry is broken as"},"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":"1305.3116","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-05-14T11:34:59Z","cross_cats_sorted":[],"title_canon_sha256":"d0b9d02225d63c699a4c7228fbbb82e372e671649f5cde3267fe588dc16fc7b8","abstract_canon_sha256":"21352c1d685d8ec8746a73c3deab33824a907b11f2af552e35b284f2d62d944a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:05.866060Z","signature_b64":"s7Pe2NshApJiUGYcgyXhNlRr5QNo0o9+qTtqi7WWLohkINSpetWmLuF5V5LhlPuNkK+96ensZnhcXwOTAL5nAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88263574e05e786e146554f29023b7bd46886741a3a2028c0173480c37f1d85d","last_reissued_at":"2026-05-18T03:16:05.865594Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:05.865594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical manifold of globally coupled overdamped anharmonic oscillators driven by additive Gaussian white noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"R\\\"udiger K\\\"ursten, Susanne G\\\"utter, Ulrich Behn","submitted_at":"2013-05-14T11:34:59Z","abstract_excerpt":"We prove for an infinite array of globally coupled overdamped anharmonic oscillators subject to additive Gaussian white noise the existence of a well-behaved critical manifold in the parameter space which separates a symmetric phase from a symmetry broken phase. Given two of the system parameters there is an unique critical value of the third. The proof exploits that the critical control parameter a_c is bounded by its limit values for weak and for strong noise. In these limits the mechanism of symmetry breaking differs. For weak noise the distribution is Gaussian and the symmetry is broken as"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3116","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":"1305.3116","created_at":"2026-05-18T03:16:05.865665+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.3116v2","created_at":"2026-05-18T03:16:05.865665+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3116","created_at":"2026-05-18T03:16:05.865665+00:00"},{"alias_kind":"pith_short_12","alias_value":"RATDK5HALZ4G","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"RATDK5HALZ4G4FDF","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"RATDK5HA","created_at":"2026-05-18T12:27:57.521954+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/RATDK5HALZ4G4FDFKTZJAI5XXV","json":"https://pith.science/pith/RATDK5HALZ4G4FDFKTZJAI5XXV.json","graph_json":"https://pith.science/api/pith-number/RATDK5HALZ4G4FDFKTZJAI5XXV/graph.json","events_json":"https://pith.science/api/pith-number/RATDK5HALZ4G4FDFKTZJAI5XXV/events.json","paper":"https://pith.science/paper/RATDK5HA"},"agent_actions":{"view_html":"https://pith.science/pith/RATDK5HALZ4G4FDFKTZJAI5XXV","download_json":"https://pith.science/pith/RATDK5HALZ4G4FDFKTZJAI5XXV.json","view_paper":"https://pith.science/paper/RATDK5HA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.3116&json=true","fetch_graph":"https://pith.science/api/pith-number/RATDK5HALZ4G4FDFKTZJAI5XXV/graph.json","fetch_events":"https://pith.science/api/pith-number/RATDK5HALZ4G4FDFKTZJAI5XXV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RATDK5HALZ4G4FDFKTZJAI5XXV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RATDK5HALZ4G4FDFKTZJAI5XXV/action/storage_attestation","attest_author":"https://pith.science/pith/RATDK5HALZ4G4FDFKTZJAI5XXV/action/author_attestation","sign_citation":"https://pith.science/pith/RATDK5HALZ4G4FDFKTZJAI5XXV/action/citation_signature","submit_replication":"https://pith.science/pith/RATDK5HALZ4G4FDFKTZJAI5XXV/action/replication_record"}},"created_at":"2026-05-18T03:16:05.865665+00:00","updated_at":"2026-05-18T03:16:05.865665+00:00"}