{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:PBTMRS7ZIU2B3F2IO2H4RQTUYU","short_pith_number":"pith:PBTMRS7Z","schema_version":"1.0","canonical_sha256":"7866c8cbf945341d9748768fc8c274c53488e937db824feae07d986ff90eedd3","source":{"kind":"arxiv","id":"2112.10634","version":2},"attestation_state":"computed","paper":{"title":"Localized magnetic field in the $O(N)$ model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Gabriel Cuomo, M\\'ark Mezei, Zohar Komargodski","submitted_at":"2021-12-20T15:47:54Z","abstract_excerpt":"We consider the critical $O(N)$ model in the presence of an external magnetic field localized in space. This setup can potentially be realized in quantum simulators and in some liquid mixtures. The external field can be understood as a relevant perturbation of the trivial line defect, and thus triggers a defect Renormalization Group (RG) flow. In agreement with the $g$-theorem, the external localized field leads at long distances to a stable nontrivial defect CFT (DCFT) with $g<1$. We obtain several predictions for the corresponding DCFT data in the epsilon expansion and in the large $N$ limit"},"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":"2112.10634","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-20T15:47:54Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"6dac612d13d2b7754b0907c299ac80d0fde8d2d4c0d4ad80728793d373cd7951","abstract_canon_sha256":"9f00489f8e39e5ace5b97f2d294069de627230cc03f6f69661a8815d4408aa05"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:03:00.615798Z","signature_b64":"bumBRm83X95qv3KDjXyEnEekdGXXWhTw4yhdrjE3Q1FdPccb7PAo/WUawOaeorlVJljpfzgjRe/Yqtpir8DOAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7866c8cbf945341d9748768fc8c274c53488e937db824feae07d986ff90eedd3","last_reissued_at":"2026-07-05T04:03:00.615251Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:03:00.615251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Localized magnetic field in the $O(N)$ model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Gabriel Cuomo, M\\'ark Mezei, Zohar Komargodski","submitted_at":"2021-12-20T15:47:54Z","abstract_excerpt":"We consider the critical $O(N)$ model in the presence of an external magnetic field localized in space. This setup can potentially be realized in quantum simulators and in some liquid mixtures. The external field can be understood as a relevant perturbation of the trivial line defect, and thus triggers a defect Renormalization Group (RG) flow. In agreement with the $g$-theorem, the external localized field leads at long distances to a stable nontrivial defect CFT (DCFT) with $g<1$. We obtain several predictions for the corresponding DCFT data in the epsilon expansion and in the large $N$ limit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.10634","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/2112.10634/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":"2112.10634","created_at":"2026-07-05T04:03:00.615328+00:00"},{"alias_kind":"arxiv_version","alias_value":"2112.10634v2","created_at":"2026-07-05T04:03:00.615328+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.10634","created_at":"2026-07-05T04:03:00.615328+00:00"},{"alias_kind":"pith_short_12","alias_value":"PBTMRS7ZIU2B","created_at":"2026-07-05T04:03:00.615328+00:00"},{"alias_kind":"pith_short_16","alias_value":"PBTMRS7ZIU2B3F2I","created_at":"2026-07-05T04:03:00.615328+00:00"},{"alias_kind":"pith_short_8","alias_value":"PBTMRS7Z","created_at":"2026-07-05T04:03:00.615328+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.21755","citing_title":"Universalities of Defects in Quantum Field Theories","ref_index":53,"is_internal_anchor":false},{"citing_arxiv_id":"2605.22628","citing_title":"Ising surface defects can get dirty","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2506.06422","citing_title":"The analytic bootstrap at finite temperature","ref_index":100,"is_internal_anchor":false},{"citing_arxiv_id":"2604.19868","citing_title":"Crosscap Defects","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13975","citing_title":"Protected operators in non-local defect CFTs from AdS","ref_index":56,"is_internal_anchor":false},{"citing_arxiv_id":"2604.19868","citing_title":"Crosscap Defects","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2604.18686","citing_title":"Neural Spectral Bias and Conformal Correlators I: Introduction and Applications","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PBTMRS7ZIU2B3F2IO2H4RQTUYU","json":"https://pith.science/pith/PBTMRS7ZIU2B3F2IO2H4RQTUYU.json","graph_json":"https://pith.science/api/pith-number/PBTMRS7ZIU2B3F2IO2H4RQTUYU/graph.json","events_json":"https://pith.science/api/pith-number/PBTMRS7ZIU2B3F2IO2H4RQTUYU/events.json","paper":"https://pith.science/paper/PBTMRS7Z"},"agent_actions":{"view_html":"https://pith.science/pith/PBTMRS7ZIU2B3F2IO2H4RQTUYU","download_json":"https://pith.science/pith/PBTMRS7ZIU2B3F2IO2H4RQTUYU.json","view_paper":"https://pith.science/paper/PBTMRS7Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2112.10634&json=true","fetch_graph":"https://pith.science/api/pith-number/PBTMRS7ZIU2B3F2IO2H4RQTUYU/graph.json","fetch_events":"https://pith.science/api/pith-number/PBTMRS7ZIU2B3F2IO2H4RQTUYU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PBTMRS7ZIU2B3F2IO2H4RQTUYU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PBTMRS7ZIU2B3F2IO2H4RQTUYU/action/storage_attestation","attest_author":"https://pith.science/pith/PBTMRS7ZIU2B3F2IO2H4RQTUYU/action/author_attestation","sign_citation":"https://pith.science/pith/PBTMRS7ZIU2B3F2IO2H4RQTUYU/action/citation_signature","submit_replication":"https://pith.science/pith/PBTMRS7ZIU2B3F2IO2H4RQTUYU/action/replication_record"}},"created_at":"2026-07-05T04:03:00.615328+00:00","updated_at":"2026-07-05T04:03:00.615328+00:00"}