{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:BC4RDKO7GOZCYRRSZ427UJE442","short_pith_number":"pith:BC4RDKO7","schema_version":"1.0","canonical_sha256":"08b911a9df33b22c4632cf35fa249ce681e03855600333417d856bf3389f171c","source":{"kind":"arxiv","id":"1904.00017","version":5},"attestation_state":"computed","paper":{"title":"Bootstrapping MN and Tetragonal CFTs in Three Dimensions","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","submitted_at":"2019-03-29T18:00:01Z","abstract_excerpt":"Conformal field theories (CFTs) with MN and tetragonal global symmetry in $d=2+1$ dimensions are relevant for structural, antiferromagnetic and helimagnetic phase transitions in a wide class of materials. The study of these theories with the nonperturbative numerical conformal bootstrap is initiated in this work. Bounds for operator dimensions are obtained and they are found to possess sharp kinks in the MN case, suggesting the existence of full-fledged CFTs. In the tetragonal case, no new kinks are found. Estimates for critical exponents are provided for a few cases describing phase transitio"},"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":"1904.00017","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-29T18:00:01Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"c6bb5618302eb002ac0e6e9308ffe4ca7a84eff08ae35b63da46ded94d4945e1","abstract_canon_sha256":"f42003516abde2bf36326b8ed970ca030ad709a9598059920de632e3333842a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:53:06.280330Z","signature_b64":"EJh3ZiDUq6pA7lhAoml0Iaqx+aDY60ZjxGnKw8iN7VdneP3c1MnQUJELVjoq0qjk62EQmbUFvMrJI2ij+pksBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08b911a9df33b22c4632cf35fa249ce681e03855600333417d856bf3389f171c","last_reissued_at":"2026-07-05T01:53:06.279850Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:53:06.279850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bootstrapping MN and Tetragonal CFTs in Three Dimensions","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","submitted_at":"2019-03-29T18:00:01Z","abstract_excerpt":"Conformal field theories (CFTs) with MN and tetragonal global symmetry in $d=2+1$ dimensions are relevant for structural, antiferromagnetic and helimagnetic phase transitions in a wide class of materials. The study of these theories with the nonperturbative numerical conformal bootstrap is initiated in this work. Bounds for operator dimensions are obtained and they are found to possess sharp kinks in the MN case, suggesting the existence of full-fledged CFTs. In the tetragonal case, no new kinks are found. Estimates for critical exponents are provided for a few cases describing phase transitio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00017","kind":"arxiv","version":5},"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/1904.00017/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":"1904.00017","created_at":"2026-07-05T01:53:06.279908+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.00017v5","created_at":"2026-07-05T01:53:06.279908+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00017","created_at":"2026-07-05T01:53:06.279908+00:00"},{"alias_kind":"pith_short_12","alias_value":"BC4RDKO7GOZC","created_at":"2026-07-05T01:53:06.279908+00:00"},{"alias_kind":"pith_short_16","alias_value":"BC4RDKO7GOZCYRRS","created_at":"2026-07-05T01:53:06.279908+00:00"},{"alias_kind":"pith_short_8","alias_value":"BC4RDKO7","created_at":"2026-07-05T01:53:06.279908+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2511.00386","citing_title":"Conformal Bootstrap with Duality-Inspired Fusion Rule","ref_index":44,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BC4RDKO7GOZCYRRSZ427UJE442","json":"https://pith.science/pith/BC4RDKO7GOZCYRRSZ427UJE442.json","graph_json":"https://pith.science/api/pith-number/BC4RDKO7GOZCYRRSZ427UJE442/graph.json","events_json":"https://pith.science/api/pith-number/BC4RDKO7GOZCYRRSZ427UJE442/events.json","paper":"https://pith.science/paper/BC4RDKO7"},"agent_actions":{"view_html":"https://pith.science/pith/BC4RDKO7GOZCYRRSZ427UJE442","download_json":"https://pith.science/pith/BC4RDKO7GOZCYRRSZ427UJE442.json","view_paper":"https://pith.science/paper/BC4RDKO7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.00017&json=true","fetch_graph":"https://pith.science/api/pith-number/BC4RDKO7GOZCYRRSZ427UJE442/graph.json","fetch_events":"https://pith.science/api/pith-number/BC4RDKO7GOZCYRRSZ427UJE442/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BC4RDKO7GOZCYRRSZ427UJE442/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BC4RDKO7GOZCYRRSZ427UJE442/action/storage_attestation","attest_author":"https://pith.science/pith/BC4RDKO7GOZCYRRSZ427UJE442/action/author_attestation","sign_citation":"https://pith.science/pith/BC4RDKO7GOZCYRRSZ427UJE442/action/citation_signature","submit_replication":"https://pith.science/pith/BC4RDKO7GOZCYRRSZ427UJE442/action/replication_record"}},"created_at":"2026-07-05T01:53:06.279908+00:00","updated_at":"2026-07-05T01:53:06.279908+00:00"}