{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LSIHUAN5MHH4JCVJZRIKPTVFCL","short_pith_number":"pith:LSIHUAN5","schema_version":"1.0","canonical_sha256":"5c907a01bd61cfc48aa9cc50a7cea512c1b877e23e0aa8f69e3d0a2785c11a47","source":{"kind":"arxiv","id":"1204.5685","version":2},"attestation_state":"computed","paper":{"title":"Super-Rough Glassy Phase of the Random Field XY Model in Two Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Anthony Perret, Gregory Schehr, Kay J. Wiese, Pierre Le Doussal, Zoran Ristivojevic","submitted_at":"2012-04-25T15:42:28Z","abstract_excerpt":"We study both analytically, using the renormalization group (RG) to two loop order, and numerically, using an exact polynomial algorithm, the disorder-induced glass phase of the two-dimensional XY model with quenched random symmetry-breaking fields and without vortices. In the super-rough glassy phase, i.e. below the critical temperature $T_c$, the disorder and thermally averaged correlation function $B(r)$ of the phase field $\\theta(x)$, $B(r) = \\bar{<[\\theta(x) - \\theta(x+ r) ]^2>}$ behaves, for $r \\gg a$, as $B(r) \\simeq A(\\tau) \\ln^2 (r/a)$ where $r = |r|$ and $a$ is a microscopic length s"},"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":"1204.5685","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-04-25T15:42:28Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"d6a41a09859c5ba91380e79a969526b01875bcaf11dc55296be1776dcbdb0f9c","abstract_canon_sha256":"64663d6bd4f58d611bb9f06dd684ddd4f8e0374ddd93ba3d49ece6568b9e8e9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:32.078348Z","signature_b64":"t9A8iS+dHOIZJie9ZORHWbj2ONAOz1ozxv8lWL/tuY9qb4Ef8OVQQz8o0X2xHfo2xqq0bAbftyNfSCzPwMhPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c907a01bd61cfc48aa9cc50a7cea512c1b877e23e0aa8f69e3d0a2785c11a47","last_reissued_at":"2026-05-18T03:42:32.077862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:32.077862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Super-Rough Glassy Phase of the Random Field XY Model in Two Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Anthony Perret, Gregory Schehr, Kay J. Wiese, Pierre Le Doussal, Zoran Ristivojevic","submitted_at":"2012-04-25T15:42:28Z","abstract_excerpt":"We study both analytically, using the renormalization group (RG) to two loop order, and numerically, using an exact polynomial algorithm, the disorder-induced glass phase of the two-dimensional XY model with quenched random symmetry-breaking fields and without vortices. In the super-rough glassy phase, i.e. below the critical temperature $T_c$, the disorder and thermally averaged correlation function $B(r)$ of the phase field $\\theta(x)$, $B(r) = \\bar{<[\\theta(x) - \\theta(x+ r) ]^2>}$ behaves, for $r \\gg a$, as $B(r) \\simeq A(\\tau) \\ln^2 (r/a)$ where $r = |r|$ and $a$ is a microscopic length s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5685","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":"1204.5685","created_at":"2026-05-18T03:42:32.077933+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.5685v2","created_at":"2026-05-18T03:42:32.077933+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5685","created_at":"2026-05-18T03:42:32.077933+00:00"},{"alias_kind":"pith_short_12","alias_value":"LSIHUAN5MHH4","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LSIHUAN5MHH4JCVJ","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LSIHUAN5","created_at":"2026-05-18T12:27:14.488303+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/LSIHUAN5MHH4JCVJZRIKPTVFCL","json":"https://pith.science/pith/LSIHUAN5MHH4JCVJZRIKPTVFCL.json","graph_json":"https://pith.science/api/pith-number/LSIHUAN5MHH4JCVJZRIKPTVFCL/graph.json","events_json":"https://pith.science/api/pith-number/LSIHUAN5MHH4JCVJZRIKPTVFCL/events.json","paper":"https://pith.science/paper/LSIHUAN5"},"agent_actions":{"view_html":"https://pith.science/pith/LSIHUAN5MHH4JCVJZRIKPTVFCL","download_json":"https://pith.science/pith/LSIHUAN5MHH4JCVJZRIKPTVFCL.json","view_paper":"https://pith.science/paper/LSIHUAN5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.5685&json=true","fetch_graph":"https://pith.science/api/pith-number/LSIHUAN5MHH4JCVJZRIKPTVFCL/graph.json","fetch_events":"https://pith.science/api/pith-number/LSIHUAN5MHH4JCVJZRIKPTVFCL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LSIHUAN5MHH4JCVJZRIKPTVFCL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LSIHUAN5MHH4JCVJZRIKPTVFCL/action/storage_attestation","attest_author":"https://pith.science/pith/LSIHUAN5MHH4JCVJZRIKPTVFCL/action/author_attestation","sign_citation":"https://pith.science/pith/LSIHUAN5MHH4JCVJZRIKPTVFCL/action/citation_signature","submit_replication":"https://pith.science/pith/LSIHUAN5MHH4JCVJZRIKPTVFCL/action/replication_record"}},"created_at":"2026-05-18T03:42:32.077933+00:00","updated_at":"2026-05-18T03:42:32.077933+00:00"}