{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:TJEMGSLDCIB7INSYRS4B7L3PNC","short_pith_number":"pith:TJEMGSLD","schema_version":"1.0","canonical_sha256":"9a48c349631203f436588cb81faf6f6889194a264c8e37499897642077f06aa0","source":{"kind":"arxiv","id":"2004.14388","version":4},"attestation_state":"computed","paper":{"title":"Analytic and Numerical Bootstrap of CFTs with $O(m)\\times O(n)$ Global Symmetry in 3D","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":"Andreas Stergiou, Johan Henriksson, Stefanos R. Kousvos","submitted_at":"2020-04-29T18:00:00Z","abstract_excerpt":"Motivated by applications to critical phenomena and open theoretical questions, we study conformal field theories with $O(m)\\times O(n)$ global symmetry in $d=3$ spacetime dimensions. We use both analytic and numerical bootstrap techniques. Using the analytic bootstrap, we calculate anomalous dimensions and OPE coefficients as power series in $\\varepsilon=4-d$ and in $1/n$, with a method that generalizes to arbitrary global symmetry. Whenever comparison is possible, our results agree with earlier results obtained with diagrammatic methods in the literature. Using the numerical bootstrap, we ob"},"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":"2004.14388","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-04-29T18:00:00Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"8b1a24e0233b35b058acc0ccf3b3aee63eb4f629496f92cc271650a43c2f0dce","abstract_canon_sha256":"7306a404e7c3830cc768685ff7b86eb2299cdfa32a75a88849cd350875a4a276"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:58:09.057127Z","signature_b64":"117fVLAonU/w8Aop6udtEFCvrv1yoKVjLPrQB1allqgW/71RdCE04/Hrp5GwdOxbXtdC5xln44BshhrjLnBdDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a48c349631203f436588cb81faf6f6889194a264c8e37499897642077f06aa0","last_reissued_at":"2026-07-05T01:58:09.056643Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:58:09.056643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic and Numerical Bootstrap of CFTs with $O(m)\\times O(n)$ Global Symmetry in 3D","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":"Andreas Stergiou, Johan Henriksson, Stefanos R. Kousvos","submitted_at":"2020-04-29T18:00:00Z","abstract_excerpt":"Motivated by applications to critical phenomena and open theoretical questions, we study conformal field theories with $O(m)\\times O(n)$ global symmetry in $d=3$ spacetime dimensions. We use both analytic and numerical bootstrap techniques. Using the analytic bootstrap, we calculate anomalous dimensions and OPE coefficients as power series in $\\varepsilon=4-d$ and in $1/n$, with a method that generalizes to arbitrary global symmetry. Whenever comparison is possible, our results agree with earlier results obtained with diagrammatic methods in the literature. Using the numerical bootstrap, we ob"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.14388","kind":"arxiv","version":4},"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/2004.14388/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":"2004.14388","created_at":"2026-07-05T01:58:09.056705+00:00"},{"alias_kind":"arxiv_version","alias_value":"2004.14388v4","created_at":"2026-07-05T01:58:09.056705+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.14388","created_at":"2026-07-05T01:58:09.056705+00:00"},{"alias_kind":"pith_short_12","alias_value":"TJEMGSLDCIB7","created_at":"2026-07-05T01:58:09.056705+00:00"},{"alias_kind":"pith_short_16","alias_value":"TJEMGSLDCIB7INSY","created_at":"2026-07-05T01:58:09.056705+00:00"},{"alias_kind":"pith_short_8","alias_value":"TJEMGSLD","created_at":"2026-07-05T01:58:09.056705+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.03974","citing_title":"Flowing with Displacements and Tilts: Surface Operators in $O(N)$ Models","ref_index":34,"is_internal_anchor":false},{"citing_arxiv_id":"2511.00386","citing_title":"Conformal Bootstrap with Duality-Inspired Fusion Rule","ref_index":49,"is_internal_anchor":false},{"citing_arxiv_id":"2512.23664","citing_title":"Taxonomy of coupled minimal models from finite groups","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2603.09977","citing_title":"Does hot QCD have a conformal manifold in the chiral limit?","ref_index":128,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TJEMGSLDCIB7INSYRS4B7L3PNC","json":"https://pith.science/pith/TJEMGSLDCIB7INSYRS4B7L3PNC.json","graph_json":"https://pith.science/api/pith-number/TJEMGSLDCIB7INSYRS4B7L3PNC/graph.json","events_json":"https://pith.science/api/pith-number/TJEMGSLDCIB7INSYRS4B7L3PNC/events.json","paper":"https://pith.science/paper/TJEMGSLD"},"agent_actions":{"view_html":"https://pith.science/pith/TJEMGSLDCIB7INSYRS4B7L3PNC","download_json":"https://pith.science/pith/TJEMGSLDCIB7INSYRS4B7L3PNC.json","view_paper":"https://pith.science/paper/TJEMGSLD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2004.14388&json=true","fetch_graph":"https://pith.science/api/pith-number/TJEMGSLDCIB7INSYRS4B7L3PNC/graph.json","fetch_events":"https://pith.science/api/pith-number/TJEMGSLDCIB7INSYRS4B7L3PNC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TJEMGSLDCIB7INSYRS4B7L3PNC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TJEMGSLDCIB7INSYRS4B7L3PNC/action/storage_attestation","attest_author":"https://pith.science/pith/TJEMGSLDCIB7INSYRS4B7L3PNC/action/author_attestation","sign_citation":"https://pith.science/pith/TJEMGSLDCIB7INSYRS4B7L3PNC/action/citation_signature","submit_replication":"https://pith.science/pith/TJEMGSLDCIB7INSYRS4B7L3PNC/action/replication_record"}},"created_at":"2026-07-05T01:58:09.056705+00:00","updated_at":"2026-07-05T01:58:09.056705+00:00"}