{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:J2XYINQWYR4BVGZZMBPT2Z56AQ","short_pith_number":"pith:J2XYINQW","schema_version":"1.0","canonical_sha256":"4eaf843616c4781a9b39605f3d67be0412f751e03022f6036f68a53f63c5ed0d","source":{"kind":"arxiv","id":"2111.01799","version":1},"attestation_state":"computed","paper":{"title":"Conformal Bootstrap Deformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Nima Afkhami-Jeddi","submitted_at":"2021-11-02T18:00:01Z","abstract_excerpt":"We explore the space of extremal functionals in the conformal bootstrap. By recasting the bootstrap problem as a set of non-linear equations parameterized by the CFT data, we find an efficient algorithm for converging to the extremal solution corresponding to the boundary of allowed regions in the parameter space of CFTs. Furthermore, by deforming these solutions, we demonstrate that certain solutions corresponding to known theories are continuously connected. Employing these methods, we will explore the space of non-unitary CFTs in the context of modular as well as correlation function bootst"},"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":"2111.01799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-11-02T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"c45cb4c308756768c609a465f26ba6de65b02bdf6005f2f0bded02fb0f021d13","abstract_canon_sha256":"fc5ef34e8b0a49dc364e01aeac29dac458f4aeea9bdd0af3154fbc6cdd953379"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:07:36.321535Z","signature_b64":"i6j6danJMXANzPFS8ZF0Hu5CVH5dPNZ3oIwSgP7Z/KTXP1bBY3PZG+1fsFPfrl9+6jW8Wq8hrOfMJRT8+4sjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4eaf843616c4781a9b39605f3d67be0412f751e03022f6036f68a53f63c5ed0d","last_reissued_at":"2026-07-05T05:07:36.321104Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:07:36.321104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conformal Bootstrap Deformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Nima Afkhami-Jeddi","submitted_at":"2021-11-02T18:00:01Z","abstract_excerpt":"We explore the space of extremal functionals in the conformal bootstrap. By recasting the bootstrap problem as a set of non-linear equations parameterized by the CFT data, we find an efficient algorithm for converging to the extremal solution corresponding to the boundary of allowed regions in the parameter space of CFTs. Furthermore, by deforming these solutions, we demonstrate that certain solutions corresponding to known theories are continuously connected. Employing these methods, we will explore the space of non-unitary CFTs in the context of modular as well as correlation function bootst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.01799","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2111.01799/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":"2111.01799","created_at":"2026-07-05T05:07:36.321171+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.01799v1","created_at":"2026-07-05T05:07:36.321171+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.01799","created_at":"2026-07-05T05:07:36.321171+00:00"},{"alias_kind":"pith_short_12","alias_value":"J2XYINQWYR4B","created_at":"2026-07-05T05:07:36.321171+00:00"},{"alias_kind":"pith_short_16","alias_value":"J2XYINQWYR4BVGZZ","created_at":"2026-07-05T05:07:36.321171+00:00"},{"alias_kind":"pith_short_8","alias_value":"J2XYINQW","created_at":"2026-07-05T05:07:36.321171+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.16119","citing_title":"Boundary anomalous dimensions from BCFT: $\\phi^{3}$ theories with a boundary and higher-derivative generalizations","ref_index":89,"is_internal_anchor":false},{"citing_arxiv_id":"2604.01275","citing_title":"Descending into the Modular Bootstrap","ref_index":36,"is_internal_anchor":false},{"citing_arxiv_id":"2604.24839","citing_title":"Upgrading Extremal Flows in the Space of Derivatives","ref_index":29,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J2XYINQWYR4BVGZZMBPT2Z56AQ","json":"https://pith.science/pith/J2XYINQWYR4BVGZZMBPT2Z56AQ.json","graph_json":"https://pith.science/api/pith-number/J2XYINQWYR4BVGZZMBPT2Z56AQ/graph.json","events_json":"https://pith.science/api/pith-number/J2XYINQWYR4BVGZZMBPT2Z56AQ/events.json","paper":"https://pith.science/paper/J2XYINQW"},"agent_actions":{"view_html":"https://pith.science/pith/J2XYINQWYR4BVGZZMBPT2Z56AQ","download_json":"https://pith.science/pith/J2XYINQWYR4BVGZZMBPT2Z56AQ.json","view_paper":"https://pith.science/paper/J2XYINQW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.01799&json=true","fetch_graph":"https://pith.science/api/pith-number/J2XYINQWYR4BVGZZMBPT2Z56AQ/graph.json","fetch_events":"https://pith.science/api/pith-number/J2XYINQWYR4BVGZZMBPT2Z56AQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J2XYINQWYR4BVGZZMBPT2Z56AQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J2XYINQWYR4BVGZZMBPT2Z56AQ/action/storage_attestation","attest_author":"https://pith.science/pith/J2XYINQWYR4BVGZZMBPT2Z56AQ/action/author_attestation","sign_citation":"https://pith.science/pith/J2XYINQWYR4BVGZZMBPT2Z56AQ/action/citation_signature","submit_replication":"https://pith.science/pith/J2XYINQWYR4BVGZZMBPT2Z56AQ/action/replication_record"}},"created_at":"2026-07-05T05:07:36.321171+00:00","updated_at":"2026-07-05T05:07:36.321171+00:00"}