{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:O6EUOSV3Q5RZYSP23OIEIHN56K","short_pith_number":"pith:O6EUOSV3","schema_version":"1.0","canonical_sha256":"7789474abb87639c49fadb90441dbdf2ad1c3c1ff800a924a9f0931c25e62118","source":{"kind":"arxiv","id":"1003.1061","version":1},"attestation_state":"computed","paper":{"title":"Phase transitions induced by microscopic disorder: a study based on the order parameter expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Niko Komin, Raul Toral","submitted_at":"2010-03-04T15:07:34Z","abstract_excerpt":"Based on the order parameter expansion, we present an approximate method which allows us to reduce large systems of coupled differential equations with diverse parameters to three equations: one for the global, mean field, variable and two which describe the fluctuations around this mean value. With this tool we analyze phase-transitions induced by microscopic disorder in three prototypical models of phase-transitions which have been studied previously in the presence of thermal noise. We study how macroscopic order is induced or destroyed by time independent local disorder and analyze the lim"},"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":"1003.1061","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-03-04T15:07:34Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"4e39e128f9234ce136ce466d198fa5eecd6f912173869d5ff613b0467cb7687b","abstract_canon_sha256":"9974e98a9b8a6ed1b617bc418ae8dc771bedd3db516d9f3864780db5948dc584"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:46.321248Z","signature_b64":"PTcjgTnBks3J2qNlg8OxOQu2HnMBlptWa00wLRNdNHk+p/LcTBhd8HJCsyuqGV8fLApGqm2xlru7FH55Qa+8DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7789474abb87639c49fadb90441dbdf2ad1c3c1ff800a924a9f0931c25e62118","last_reissued_at":"2026-05-18T02:08:46.320503Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:46.320503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase transitions induced by microscopic disorder: a study based on the order parameter expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Niko Komin, Raul Toral","submitted_at":"2010-03-04T15:07:34Z","abstract_excerpt":"Based on the order parameter expansion, we present an approximate method which allows us to reduce large systems of coupled differential equations with diverse parameters to three equations: one for the global, mean field, variable and two which describe the fluctuations around this mean value. With this tool we analyze phase-transitions induced by microscopic disorder in three prototypical models of phase-transitions which have been studied previously in the presence of thermal noise. We study how macroscopic order is induced or destroyed by time independent local disorder and analyze the lim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1061","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":"1003.1061","created_at":"2026-05-18T02:08:46.320642+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.1061v1","created_at":"2026-05-18T02:08:46.320642+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1061","created_at":"2026-05-18T02:08:46.320642+00:00"},{"alias_kind":"pith_short_12","alias_value":"O6EUOSV3Q5RZ","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"O6EUOSV3Q5RZYSP2","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"O6EUOSV3","created_at":"2026-05-18T12:26:12.377268+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/O6EUOSV3Q5RZYSP23OIEIHN56K","json":"https://pith.science/pith/O6EUOSV3Q5RZYSP23OIEIHN56K.json","graph_json":"https://pith.science/api/pith-number/O6EUOSV3Q5RZYSP23OIEIHN56K/graph.json","events_json":"https://pith.science/api/pith-number/O6EUOSV3Q5RZYSP23OIEIHN56K/events.json","paper":"https://pith.science/paper/O6EUOSV3"},"agent_actions":{"view_html":"https://pith.science/pith/O6EUOSV3Q5RZYSP23OIEIHN56K","download_json":"https://pith.science/pith/O6EUOSV3Q5RZYSP23OIEIHN56K.json","view_paper":"https://pith.science/paper/O6EUOSV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.1061&json=true","fetch_graph":"https://pith.science/api/pith-number/O6EUOSV3Q5RZYSP23OIEIHN56K/graph.json","fetch_events":"https://pith.science/api/pith-number/O6EUOSV3Q5RZYSP23OIEIHN56K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O6EUOSV3Q5RZYSP23OIEIHN56K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O6EUOSV3Q5RZYSP23OIEIHN56K/action/storage_attestation","attest_author":"https://pith.science/pith/O6EUOSV3Q5RZYSP23OIEIHN56K/action/author_attestation","sign_citation":"https://pith.science/pith/O6EUOSV3Q5RZYSP23OIEIHN56K/action/citation_signature","submit_replication":"https://pith.science/pith/O6EUOSV3Q5RZYSP23OIEIHN56K/action/replication_record"}},"created_at":"2026-05-18T02:08:46.320642+00:00","updated_at":"2026-05-18T02:08:46.320642+00:00"}