{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:IXZH3NYIRCTXHCMZYK2M32VRJS","short_pith_number":"pith:IXZH3NYI","schema_version":"1.0","canonical_sha256":"45f27db70888a7738999c2b4cdeab14c9a13642db5197167bf69128b9939972c","source":{"kind":"arxiv","id":"cond-mat/0209580","version":2},"attestation_state":"computed","paper":{"title":"Multicritical phenomena in O(n_1)+O(n_2)-symmetric theories","license":"","headline":"","cross_cats":["cond-mat.supr-con","hep-lat","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Pelissetto, Ettore Vicari, Pasquale Calabrese","submitted_at":"2002-09-25T11:51:04Z","abstract_excerpt":"We study the multicritical behavior arising from the competition of two distinct types of ordering characterized by O(n) symmetries. For this purpose, we consider the renormalization-group flow for the most general $O(n_1)\\oplus O(n_2)$-symmetric Landau-Ginzburg-Wilson Hamiltonian involving two fields $\\phi_1$ and $\\phi_2$ with $n_1$ and $n_2$ components respectively. In particular, we determine in which cases, approaching the multicritical point, one may observe the asymptotic enlargement of the symmetry to O(N) with N=n_1+n_2. By performing a five-loop $\\epsilon$-expansion computation we det"},"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":"cond-mat/0209580","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2002-09-25T11:51:04Z","cross_cats_sorted":["cond-mat.supr-con","hep-lat","hep-th"],"title_canon_sha256":"e4bf00a78b82e152599f005a3d17c6c99d8c7121cb65c67654440b81299e0d3a","abstract_canon_sha256":"4ce05bb2a4da235555c9079d20221a798bb8cc3f56b637e21d6136afb06b0349"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:33:07.583186Z","signature_b64":"NhrAJlawAOsw/gu2f4Pi7dHz7vIu8eJvvS1HRUhCe2hJZA09IQ9OZD8rj9gwRzE97oDBxFDznSEGDozLHD2WAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45f27db70888a7738999c2b4cdeab14c9a13642db5197167bf69128b9939972c","last_reissued_at":"2026-07-04T16:33:07.582741Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:33:07.582741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multicritical phenomena in O(n_1)+O(n_2)-symmetric theories","license":"","headline":"","cross_cats":["cond-mat.supr-con","hep-lat","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Pelissetto, Ettore Vicari, Pasquale Calabrese","submitted_at":"2002-09-25T11:51:04Z","abstract_excerpt":"We study the multicritical behavior arising from the competition of two distinct types of ordering characterized by O(n) symmetries. For this purpose, we consider the renormalization-group flow for the most general $O(n_1)\\oplus O(n_2)$-symmetric Landau-Ginzburg-Wilson Hamiltonian involving two fields $\\phi_1$ and $\\phi_2$ with $n_1$ and $n_2$ components respectively. In particular, we determine in which cases, approaching the multicritical point, one may observe the asymptotic enlargement of the symmetry to O(N) with N=n_1+n_2. By performing a five-loop $\\epsilon$-expansion computation we det"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0209580","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0209580/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"cond-mat/0209580","created_at":"2026-07-04T16:33:07.582802+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0209580v2","created_at":"2026-07-04T16:33:07.582802+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0209580","created_at":"2026-07-04T16:33:07.582802+00:00"},{"alias_kind":"pith_short_12","alias_value":"IXZH3NYIRCTX","created_at":"2026-07-04T16:33:07.582802+00:00"},{"alias_kind":"pith_short_16","alias_value":"IXZH3NYIRCTXHCMZ","created_at":"2026-07-04T16:33:07.582802+00:00"},{"alias_kind":"pith_short_8","alias_value":"IXZH3NYI","created_at":"2026-07-04T16:33:07.582802+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.09985","citing_title":"Bootstrap Cone of the Multicritical Deconfined Quantum Critical Point","ref_index":75,"is_internal_anchor":true},{"citing_arxiv_id":"2103.02626","citing_title":"Coherent and dissipative dynamics at quantum phase transitions","ref_index":87,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS","json":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS.json","graph_json":"https://pith.science/api/pith-number/IXZH3NYIRCTXHCMZYK2M32VRJS/graph.json","events_json":"https://pith.science/api/pith-number/IXZH3NYIRCTXHCMZYK2M32VRJS/events.json","paper":"https://pith.science/paper/IXZH3NYI"},"agent_actions":{"view_html":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS","download_json":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS.json","view_paper":"https://pith.science/paper/IXZH3NYI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0209580&json=true","fetch_graph":"https://pith.science/api/pith-number/IXZH3NYIRCTXHCMZYK2M32VRJS/graph.json","fetch_events":"https://pith.science/api/pith-number/IXZH3NYIRCTXHCMZYK2M32VRJS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS/action/storage_attestation","attest_author":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS/action/author_attestation","sign_citation":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS/action/citation_signature","submit_replication":"https://pith.science/pith/IXZH3NYIRCTXHCMZYK2M32VRJS/action/replication_record"}},"created_at":"2026-07-04T16:33:07.582802+00:00","updated_at":"2026-07-04T16:33:07.582802+00:00"}