{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:6CCNDXZ7LM2BXZJKWZ6R5FIQAB","short_pith_number":"pith:6CCNDXZ7","schema_version":"1.0","canonical_sha256":"f084d1df3f5b341be52ab67d1e9510006350962258d755d3639991e3cb6ee21a","source":{"kind":"arxiv","id":"1711.04567","version":1},"attestation_state":"computed","paper":{"title":"Criticality of O(N) symmetric models in the presence of discrete gauge symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Pelissetto, Antonio Tripodo, Ettore Vicari","submitted_at":"2017-11-13T13:21:15Z","abstract_excerpt":"We investigate the critical properties of the three-dimensional (3D) antiferromagnetic RP(N-1}) model, which is characterized by a global O(N) symmetry and a discrete Z_2 gauge symmetry. We perform a field-theoretical analysis using the Landau-Ginzburg-Wilson (LGW) approach and a numerical Monte Carlo study. The LGW field-theoretical results are obtained by high-order perturbative analyses of the renormalization-group (RG) flow of the most general Phi^4 theory with the same global symmetry as the model, assuming a gauge-invariant order-parameter field. For N=4 no stable fixed point is found, i"},"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":"1711.04567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-11-13T13:21:15Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"6912b941dd5bfb5d3f75c34f648e8768c319c6abd660e11a03867860aa685032","abstract_canon_sha256":"2b5fd4f44b8a5701ff3bb39709bb5a7669e919a7a13d8c714098ce2b3f72b21e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:16.241920Z","signature_b64":"oVkWi+CiY09TOx8Wfn+IjffOrGMJda0itMf4rtx5tTg2Qvk1Q+Mk65NAIwxGrZjh225cCushRt6lM6tuJ9SnBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f084d1df3f5b341be52ab67d1e9510006350962258d755d3639991e3cb6ee21a","last_reissued_at":"2026-05-18T00:25:16.241132Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:16.241132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Criticality of O(N) symmetric models in the presence of discrete gauge symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Pelissetto, Antonio Tripodo, Ettore Vicari","submitted_at":"2017-11-13T13:21:15Z","abstract_excerpt":"We investigate the critical properties of the three-dimensional (3D) antiferromagnetic RP(N-1}) model, which is characterized by a global O(N) symmetry and a discrete Z_2 gauge symmetry. We perform a field-theoretical analysis using the Landau-Ginzburg-Wilson (LGW) approach and a numerical Monte Carlo study. The LGW field-theoretical results are obtained by high-order perturbative analyses of the renormalization-group (RG) flow of the most general Phi^4 theory with the same global symmetry as the model, assuming a gauge-invariant order-parameter field. For N=4 no stable fixed point is found, i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04567","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":"1711.04567","created_at":"2026-05-18T00:25:16.241276+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.04567v1","created_at":"2026-05-18T00:25:16.241276+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04567","created_at":"2026-05-18T00:25:16.241276+00:00"},{"alias_kind":"pith_short_12","alias_value":"6CCNDXZ7LM2B","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"6CCNDXZ7LM2BXZJK","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"6CCNDXZ7","created_at":"2026-05-18T12:31:03.183658+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/6CCNDXZ7LM2BXZJKWZ6R5FIQAB","json":"https://pith.science/pith/6CCNDXZ7LM2BXZJKWZ6R5FIQAB.json","graph_json":"https://pith.science/api/pith-number/6CCNDXZ7LM2BXZJKWZ6R5FIQAB/graph.json","events_json":"https://pith.science/api/pith-number/6CCNDXZ7LM2BXZJKWZ6R5FIQAB/events.json","paper":"https://pith.science/paper/6CCNDXZ7"},"agent_actions":{"view_html":"https://pith.science/pith/6CCNDXZ7LM2BXZJKWZ6R5FIQAB","download_json":"https://pith.science/pith/6CCNDXZ7LM2BXZJKWZ6R5FIQAB.json","view_paper":"https://pith.science/paper/6CCNDXZ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.04567&json=true","fetch_graph":"https://pith.science/api/pith-number/6CCNDXZ7LM2BXZJKWZ6R5FIQAB/graph.json","fetch_events":"https://pith.science/api/pith-number/6CCNDXZ7LM2BXZJKWZ6R5FIQAB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6CCNDXZ7LM2BXZJKWZ6R5FIQAB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6CCNDXZ7LM2BXZJKWZ6R5FIQAB/action/storage_attestation","attest_author":"https://pith.science/pith/6CCNDXZ7LM2BXZJKWZ6R5FIQAB/action/author_attestation","sign_citation":"https://pith.science/pith/6CCNDXZ7LM2BXZJKWZ6R5FIQAB/action/citation_signature","submit_replication":"https://pith.science/pith/6CCNDXZ7LM2BXZJKWZ6R5FIQAB/action/replication_record"}},"created_at":"2026-05-18T00:25:16.241276+00:00","updated_at":"2026-05-18T00:25:16.241276+00:00"}