{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:H3Q3YYIBKS2DQV3KWNLEL3F3PO","short_pith_number":"pith:H3Q3YYIB","schema_version":"1.0","canonical_sha256":"3ee1bc610154b438576ab35645ecbb7bb4923e37667d571eb834007e808ea9ed","source":{"kind":"arxiv","id":"1009.4421","version":1},"attestation_state":"computed","paper":{"title":"Perturbative Aspects of Heterotically Deformed CP(N-1) Sigma Model. I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. Shifman, Xiaoyi Cui","submitted_at":"2010-09-22T16:51:05Z","abstract_excerpt":"In this paper we begin the study of renormalizations in the heterotically deformed N=(0,2) CP(N-1) sigma models. In addition to the coupling constant g^2 of the undeformed N=(2,2) model, there is the second coupling constant \\gamma describing the strength of the heterotic deformation. We calculate both \\beta functions, \\beta_g and \\beta_\\gamma at one loop, determining the flow of g^2 and \\gamma. Under a certain choice of the initial conditions, the theory is asymptotically free. The \\beta function for the ratio \\rho =\\gamma^2/g^2 exhibits an infrared fixed point at \\rho={1}{2}. Formally this f"},"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":"1009.4421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-22T16:51:05Z","cross_cats_sorted":[],"title_canon_sha256":"bdf5bffdd789f2386a339ba9ac7a32e1b7c59f971c96c51246f7fb58cb3468b3","abstract_canon_sha256":"d12d738e7a204afc04805976e12552dae35803c59b0688d372431f12821423ed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:45.558355Z","signature_b64":"8bWOGudtyaDOCQU+qSgi+oKu+1Xp7okJp9/5NngMnmOU0kRTKWoMIrLH9JGJweQipMNpKM7uCiWbIrGSXLYnCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ee1bc610154b438576ab35645ecbb7bb4923e37667d571eb834007e808ea9ed","last_reissued_at":"2026-05-18T04:32:45.557748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:45.557748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Perturbative Aspects of Heterotically Deformed CP(N-1) Sigma Model. I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. Shifman, Xiaoyi Cui","submitted_at":"2010-09-22T16:51:05Z","abstract_excerpt":"In this paper we begin the study of renormalizations in the heterotically deformed N=(0,2) CP(N-1) sigma models. In addition to the coupling constant g^2 of the undeformed N=(2,2) model, there is the second coupling constant \\gamma describing the strength of the heterotic deformation. We calculate both \\beta functions, \\beta_g and \\beta_\\gamma at one loop, determining the flow of g^2 and \\gamma. Under a certain choice of the initial conditions, the theory is asymptotically free. The \\beta function for the ratio \\rho =\\gamma^2/g^2 exhibits an infrared fixed point at \\rho={1}{2}. Formally this f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4421","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":""},"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":"1009.4421","created_at":"2026-05-18T04:32:45.557846+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.4421v1","created_at":"2026-05-18T04:32:45.557846+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4421","created_at":"2026-05-18T04:32:45.557846+00:00"},{"alias_kind":"pith_short_12","alias_value":"H3Q3YYIBKS2D","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"H3Q3YYIBKS2DQV3K","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"H3Q3YYIB","created_at":"2026-05-18T12:26:07.630475+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/H3Q3YYIBKS2DQV3KWNLEL3F3PO","json":"https://pith.science/pith/H3Q3YYIBKS2DQV3KWNLEL3F3PO.json","graph_json":"https://pith.science/api/pith-number/H3Q3YYIBKS2DQV3KWNLEL3F3PO/graph.json","events_json":"https://pith.science/api/pith-number/H3Q3YYIBKS2DQV3KWNLEL3F3PO/events.json","paper":"https://pith.science/paper/H3Q3YYIB"},"agent_actions":{"view_html":"https://pith.science/pith/H3Q3YYIBKS2DQV3KWNLEL3F3PO","download_json":"https://pith.science/pith/H3Q3YYIBKS2DQV3KWNLEL3F3PO.json","view_paper":"https://pith.science/paper/H3Q3YYIB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.4421&json=true","fetch_graph":"https://pith.science/api/pith-number/H3Q3YYIBKS2DQV3KWNLEL3F3PO/graph.json","fetch_events":"https://pith.science/api/pith-number/H3Q3YYIBKS2DQV3KWNLEL3F3PO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H3Q3YYIBKS2DQV3KWNLEL3F3PO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H3Q3YYIBKS2DQV3KWNLEL3F3PO/action/storage_attestation","attest_author":"https://pith.science/pith/H3Q3YYIBKS2DQV3KWNLEL3F3PO/action/author_attestation","sign_citation":"https://pith.science/pith/H3Q3YYIBKS2DQV3KWNLEL3F3PO/action/citation_signature","submit_replication":"https://pith.science/pith/H3Q3YYIBKS2DQV3KWNLEL3F3PO/action/replication_record"}},"created_at":"2026-05-18T04:32:45.557846+00:00","updated_at":"2026-05-18T04:32:45.557846+00:00"}