{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SWQ7CSTZXPIICAALK5E457J5HF","short_pith_number":"pith:SWQ7CSTZ","schema_version":"1.0","canonical_sha256":"95a1f14a79bbd081000b5749cefd3d394fa9ba35f8d175ca9f2dc8b45329eeb2","source":{"kind":"arxiv","id":"1201.4595","version":2},"attestation_state":"computed","paper":{"title":"Challenges of beta-deformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A. Morozov","submitted_at":"2012-01-22T20:10:52Z","abstract_excerpt":"A brief review of problems, arising in the study of the beta-deformation, also known as \"refinement\", which appears as a central difficult element in a number of related modern subjects: beta \\neq 1 is responsible for deviation from free fermions in 2d conformal theories, from symmetric omega-backgrounds with epsilon_2 = - epsilon_1 in instanton sums in 4d SYM theories, from eigenvalue matrix models to beta-ensembles, from HOMFLY to super-polynomials in Chern-Simons theory, from quantum groups to elliptic and hyperbolic algebras etc. The main attention is paid to the context of AGT relation an"},"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":"1201.4595","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-01-22T20:10:52Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ee4ad4b27a9796d6cc9def2dd3e85a4d0d03ba332910468da94338ead85e29c2","abstract_canon_sha256":"fdec845975025bb457618948f84d0fb13913d4bc797036860c240786aa9a8650"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:00.544995Z","signature_b64":"Ux/1hW+Bp6TEbSlDddCZJ9DnyFOhKjTOYBk/ehcWbbYQ4qYEAvCE2hueMM7W6BppkS8ssZTv0kCkv7+m5yV8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95a1f14a79bbd081000b5749cefd3d394fa9ba35f8d175ca9f2dc8b45329eeb2","last_reissued_at":"2026-05-18T02:32:00.544377Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:00.544377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Challenges of beta-deformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A. Morozov","submitted_at":"2012-01-22T20:10:52Z","abstract_excerpt":"A brief review of problems, arising in the study of the beta-deformation, also known as \"refinement\", which appears as a central difficult element in a number of related modern subjects: beta \\neq 1 is responsible for deviation from free fermions in 2d conformal theories, from symmetric omega-backgrounds with epsilon_2 = - epsilon_1 in instanton sums in 4d SYM theories, from eigenvalue matrix models to beta-ensembles, from HOMFLY to super-polynomials in Chern-Simons theory, from quantum groups to elliptic and hyperbolic algebras etc. The main attention is paid to the context of AGT relation an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4595","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":""},"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":"1201.4595","created_at":"2026-05-18T02:32:00.544483+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.4595v2","created_at":"2026-05-18T02:32:00.544483+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4595","created_at":"2026-05-18T02:32:00.544483+00:00"},{"alias_kind":"pith_short_12","alias_value":"SWQ7CSTZXPII","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"SWQ7CSTZXPIICAAL","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"SWQ7CSTZ","created_at":"2026-05-18T12:27:23.164592+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/SWQ7CSTZXPIICAALK5E457J5HF","json":"https://pith.science/pith/SWQ7CSTZXPIICAALK5E457J5HF.json","graph_json":"https://pith.science/api/pith-number/SWQ7CSTZXPIICAALK5E457J5HF/graph.json","events_json":"https://pith.science/api/pith-number/SWQ7CSTZXPIICAALK5E457J5HF/events.json","paper":"https://pith.science/paper/SWQ7CSTZ"},"agent_actions":{"view_html":"https://pith.science/pith/SWQ7CSTZXPIICAALK5E457J5HF","download_json":"https://pith.science/pith/SWQ7CSTZXPIICAALK5E457J5HF.json","view_paper":"https://pith.science/paper/SWQ7CSTZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.4595&json=true","fetch_graph":"https://pith.science/api/pith-number/SWQ7CSTZXPIICAALK5E457J5HF/graph.json","fetch_events":"https://pith.science/api/pith-number/SWQ7CSTZXPIICAALK5E457J5HF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SWQ7CSTZXPIICAALK5E457J5HF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SWQ7CSTZXPIICAALK5E457J5HF/action/storage_attestation","attest_author":"https://pith.science/pith/SWQ7CSTZXPIICAALK5E457J5HF/action/author_attestation","sign_citation":"https://pith.science/pith/SWQ7CSTZXPIICAALK5E457J5HF/action/citation_signature","submit_replication":"https://pith.science/pith/SWQ7CSTZXPIICAALK5E457J5HF/action/replication_record"}},"created_at":"2026-05-18T02:32:00.544483+00:00","updated_at":"2026-05-18T02:32:00.544483+00:00"}