{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:VZ6KXQFQMLHMS3QQGE6H7BID6V","short_pith_number":"pith:VZ6KXQFQ","canonical_record":{"source":{"id":"1901.03010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-10T03:52:37Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"f39a515946111f66d475dae94860755fb5c1fa496c3b6e9b633e1f843a2a9f39","abstract_canon_sha256":"6ccd7512624532caa429830507a42f9023f1c2b2c43f8ee1fb42fb020a3ae73e"},"schema_version":"1.0"},"canonical_sha256":"ae7cabc0b062cec96e10313c7f8503f5419b5ed2d93d66dc59ea6946471792cc","source":{"kind":"arxiv","id":"1901.03010","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.03010","created_at":"2026-05-17T23:43:03Z"},{"alias_kind":"arxiv_version","alias_value":"1901.03010v1","created_at":"2026-05-17T23:43:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.03010","created_at":"2026-05-17T23:43:03Z"},{"alias_kind":"pith_short_12","alias_value":"VZ6KXQFQMLHM","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VZ6KXQFQMLHMS3QQ","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VZ6KXQFQ","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:VZ6KXQFQMLHMS3QQGE6H7BID6V","target":"record","payload":{"canonical_record":{"source":{"id":"1901.03010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-10T03:52:37Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"f39a515946111f66d475dae94860755fb5c1fa496c3b6e9b633e1f843a2a9f39","abstract_canon_sha256":"6ccd7512624532caa429830507a42f9023f1c2b2c43f8ee1fb42fb020a3ae73e"},"schema_version":"1.0"},"canonical_sha256":"ae7cabc0b062cec96e10313c7f8503f5419b5ed2d93d66dc59ea6946471792cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:03.808678Z","signature_b64":"EsElOs6rsCoNuJkwWBVgif+OiuYcf20N3VqNSxj6+G67Eocm3uwrEAcuFD6L5USEvFTZuxmYPDIlTir12lgbDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae7cabc0b062cec96e10313c7f8503f5419b5ed2d93d66dc59ea6946471792cc","last_reissued_at":"2026-05-17T23:43:03.808143Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:03.808143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.03010","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:43:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RKKmghyd4ZoI+//wojuaHJvReQJ8D2BMsDMjeJNX4Gh3zbt8lbCrNmyx+rcJkBDrBNqfbSArZdzXff/9V0r8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:51:48.727205Z"},"content_sha256":"6bbb4686d7116821dd0e806b0718795600c9960c3d979c5140117bce0e35e62d","schema_version":"1.0","event_id":"sha256:6bbb4686d7116821dd0e806b0718795600c9960c3d979c5140117bce0e35e62d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:VZ6KXQFQMLHMS3QQGE6H7BID6V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Grassmannian Heterotic Sigma Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Evgeniy Kurianovych, Michael Kreshchuk, Mikhail Shifman","submitted_at":"2019-01-10T03:52:37Z","abstract_excerpt":"We study the non-minimal supersymmetric heterotically deformed $\\mathcal{N}=(0,2)$ sigma model with the Grassmannian target space $\\mathcal{G}_{M,N}$. To develop the appropriate superfield formalism, we begin with a simplified model with flat target space, find its beta function up to two loops, and prove a non-renormalization theorem. Then we generalize the results to the full model with the Grassmannian target space. Using the geometric formulation, we calculate the beta functions and discuss the 't Hooft and Veneziano limits."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.03010","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:43:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZnywMof8l7UdndgADUaPU1veGxr6OZ+wdhHDEnx8S4o+/sDOriLLcrwHaf45GfgTjgZ4L8LgYMFlvjvFPHEqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:51:48.727732Z"},"content_sha256":"3e4dc918336cefee1f0f150493e708ccaafde90936bb166131b1e9116fa9c59c","schema_version":"1.0","event_id":"sha256:3e4dc918336cefee1f0f150493e708ccaafde90936bb166131b1e9116fa9c59c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VZ6KXQFQMLHMS3QQGE6H7BID6V/bundle.json","state_url":"https://pith.science/pith/VZ6KXQFQMLHMS3QQGE6H7BID6V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VZ6KXQFQMLHMS3QQGE6H7BID6V/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T00:51:48Z","links":{"resolver":"https://pith.science/pith/VZ6KXQFQMLHMS3QQGE6H7BID6V","bundle":"https://pith.science/pith/VZ6KXQFQMLHMS3QQGE6H7BID6V/bundle.json","state":"https://pith.science/pith/VZ6KXQFQMLHMS3QQGE6H7BID6V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VZ6KXQFQMLHMS3QQGE6H7BID6V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VZ6KXQFQMLHMS3QQGE6H7BID6V","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6ccd7512624532caa429830507a42f9023f1c2b2c43f8ee1fb42fb020a3ae73e","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-10T03:52:37Z","title_canon_sha256":"f39a515946111f66d475dae94860755fb5c1fa496c3b6e9b633e1f843a2a9f39"},"schema_version":"1.0","source":{"id":"1901.03010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.03010","created_at":"2026-05-17T23:43:03Z"},{"alias_kind":"arxiv_version","alias_value":"1901.03010v1","created_at":"2026-05-17T23:43:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.03010","created_at":"2026-05-17T23:43:03Z"},{"alias_kind":"pith_short_12","alias_value":"VZ6KXQFQMLHM","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VZ6KXQFQMLHMS3QQ","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VZ6KXQFQ","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:3e4dc918336cefee1f0f150493e708ccaafde90936bb166131b1e9116fa9c59c","target":"graph","created_at":"2026-05-17T23:43:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the non-minimal supersymmetric heterotically deformed $\\mathcal{N}=(0,2)$ sigma model with the Grassmannian target space $\\mathcal{G}_{M,N}$. To develop the appropriate superfield formalism, we begin with a simplified model with flat target space, find its beta function up to two loops, and prove a non-renormalization theorem. Then we generalize the results to the full model with the Grassmannian target space. Using the geometric formulation, we calculate the beta functions and discuss the 't Hooft and Veneziano limits.","authors_text":"Evgeniy Kurianovych, Michael Kreshchuk, Mikhail Shifman","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-10T03:52:37Z","title":"On Grassmannian Heterotic Sigma Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.03010","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6bbb4686d7116821dd0e806b0718795600c9960c3d979c5140117bce0e35e62d","target":"record","created_at":"2026-05-17T23:43:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6ccd7512624532caa429830507a42f9023f1c2b2c43f8ee1fb42fb020a3ae73e","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-10T03:52:37Z","title_canon_sha256":"f39a515946111f66d475dae94860755fb5c1fa496c3b6e9b633e1f843a2a9f39"},"schema_version":"1.0","source":{"id":"1901.03010","kind":"arxiv","version":1}},"canonical_sha256":"ae7cabc0b062cec96e10313c7f8503f5419b5ed2d93d66dc59ea6946471792cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae7cabc0b062cec96e10313c7f8503f5419b5ed2d93d66dc59ea6946471792cc","first_computed_at":"2026-05-17T23:43:03.808143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:03.808143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EsElOs6rsCoNuJkwWBVgif+OiuYcf20N3VqNSxj6+G67Eocm3uwrEAcuFD6L5USEvFTZuxmYPDIlTir12lgbDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:03.808678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.03010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bbb4686d7116821dd0e806b0718795600c9960c3d979c5140117bce0e35e62d","sha256:3e4dc918336cefee1f0f150493e708ccaafde90936bb166131b1e9116fa9c59c"],"state_sha256":"51b7908dc6a2fc096ffa22ad3bd4c3958cb46fc52321bfe5786c72ffa1a097f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J2CFLDWmlmwAzMw7c+FPPKWdrzdRc1u1f274/GE5c2I6DhnLl1InOBDGp2UHiF/LnwvviG8Pcx+tnU7bWuGhBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:51:48.732146Z","bundle_sha256":"aa08d77abaf9b43dc0f097bcc6ac8eeae439689cfd5b94e2b18cec475dcf4b69"}}