{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:6EZCM77HTJY64TMBT4UXFPDNKJ","short_pith_number":"pith:6EZCM77H","schema_version":"1.0","canonical_sha256":"f132267fe79a71ee4d819f2972bc6d52498ac6a7f1da24d90315b64eb27f78b0","source":{"kind":"arxiv","id":"1610.02803","version":1},"attestation_state":"computed","paper":{"title":"Phase diagram for the O(n) model with defects of \"random local field\" type and verity of the Imry-Ma theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"A.A. Berzin, A.I. Morosov, A.S. Sigov","submitted_at":"2016-10-10T08:39:34Z","abstract_excerpt":"It is shown that the Imry-Ma theorem stating that in space dimensions d<4 the introduction of an arbitrarily small concentration of defects of the \"random local field\" type in a system with continuous symmetry of the n-component vector order parameter (O(n)model) leads to the long-range order collapse and to the occurrence of a disordered state, is not true if the anisotropic distribution of the defect-induced random local field directions in the n-dimensional space of the order parameter leads to the defect-induced effective anisotropy of the \"easy axis\" type. For a weakly anisotropic field d"},"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":"1610.02803","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-10-10T08:39:34Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"6c132514cedd488f8750c2dd56881d90bfa5e2ab80e4956982ebf8e4df3dcfe3","abstract_canon_sha256":"545ef29bcb02cda528d69f4d4683a428f7fe5126c67b874d34647bf128f00626"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:05.167594Z","signature_b64":"GxaubW+OA7SMeqXAyPXPs+AYFvN2DYBK8zCVEtxlYvhMYk37yUBbVmiviBhhhKrKoSmrZm/Adm3WgQg0DsdUDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f132267fe79a71ee4d819f2972bc6d52498ac6a7f1da24d90315b64eb27f78b0","last_reissued_at":"2026-05-18T00:34:05.167010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:05.167010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase diagram for the O(n) model with defects of \"random local field\" type and verity of the Imry-Ma theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"A.A. Berzin, A.I. Morosov, A.S. Sigov","submitted_at":"2016-10-10T08:39:34Z","abstract_excerpt":"It is shown that the Imry-Ma theorem stating that in space dimensions d<4 the introduction of an arbitrarily small concentration of defects of the \"random local field\" type in a system with continuous symmetry of the n-component vector order parameter (O(n)model) leads to the long-range order collapse and to the occurrence of a disordered state, is not true if the anisotropic distribution of the defect-induced random local field directions in the n-dimensional space of the order parameter leads to the defect-induced effective anisotropy of the \"easy axis\" type. For a weakly anisotropic field d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02803","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":"1610.02803","created_at":"2026-05-18T00:34:05.167121+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.02803v1","created_at":"2026-05-18T00:34:05.167121+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02803","created_at":"2026-05-18T00:34:05.167121+00:00"},{"alias_kind":"pith_short_12","alias_value":"6EZCM77HTJY6","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"6EZCM77HTJY64TMB","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"6EZCM77H","created_at":"2026-05-18T12:30:01.593930+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/6EZCM77HTJY64TMBT4UXFPDNKJ","json":"https://pith.science/pith/6EZCM77HTJY64TMBT4UXFPDNKJ.json","graph_json":"https://pith.science/api/pith-number/6EZCM77HTJY64TMBT4UXFPDNKJ/graph.json","events_json":"https://pith.science/api/pith-number/6EZCM77HTJY64TMBT4UXFPDNKJ/events.json","paper":"https://pith.science/paper/6EZCM77H"},"agent_actions":{"view_html":"https://pith.science/pith/6EZCM77HTJY64TMBT4UXFPDNKJ","download_json":"https://pith.science/pith/6EZCM77HTJY64TMBT4UXFPDNKJ.json","view_paper":"https://pith.science/paper/6EZCM77H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.02803&json=true","fetch_graph":"https://pith.science/api/pith-number/6EZCM77HTJY64TMBT4UXFPDNKJ/graph.json","fetch_events":"https://pith.science/api/pith-number/6EZCM77HTJY64TMBT4UXFPDNKJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6EZCM77HTJY64TMBT4UXFPDNKJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6EZCM77HTJY64TMBT4UXFPDNKJ/action/storage_attestation","attest_author":"https://pith.science/pith/6EZCM77HTJY64TMBT4UXFPDNKJ/action/author_attestation","sign_citation":"https://pith.science/pith/6EZCM77HTJY64TMBT4UXFPDNKJ/action/citation_signature","submit_replication":"https://pith.science/pith/6EZCM77HTJY64TMBT4UXFPDNKJ/action/replication_record"}},"created_at":"2026-05-18T00:34:05.167121+00:00","updated_at":"2026-05-18T00:34:05.167121+00:00"}