{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PBHLZFMXDWPGTZODM2IHKYITIK","short_pith_number":"pith:PBHLZFMX","schema_version":"1.0","canonical_sha256":"784ebc95971d9e69e5c366907561134293985fecfc2d6bf172ea87d8493c4123","source":{"kind":"arxiv","id":"2606.15261","version":2},"attestation_state":"computed","paper":{"title":"On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hao Zou, Osama Khlaif, Zhihao Duan","submitted_at":"2026-06-13T11:39:01Z","abstract_excerpt":"We further investigate the 3d gauged linear sigma model (GLSM)/~quantum K-theory correspondence for partial flag manifolds $X \\equiv {\\rm Fl}(\\boldsymbol{k};n)$. This is a 3d uplift of the 2d GLSM/quantum cohomology correspondence with the 3d theory compactified on $\\mathbb{R}^2\\times S^1_\\beta$. Recently, a set of half-BPS line operators, called Schubert line defects, were constructed that correspond to the Schubert classes in the K-theory ring of $X$. Utilizing algebro-geometric algorithms, we compute $2$-point and $3$-point correlation functions of these line operators in the 3d A-model reg"},"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":"2606.15261","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-13T11:39:01Z","cross_cats_sorted":[],"title_canon_sha256":"d9fb3243bf69366ded0dce6938a96ffc15e1a9423ac42df57c08da7e36cf62c7","abstract_canon_sha256":"483fe0f519fdcfdc5b082e42c0577acc25811390506a21198d4ee627921f3c5f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-25T01:17:55.014372Z","signature_b64":"g3FAeMczuhavhYz1ZpZjAjsGXlt+h63GaWGWWwK4X3g2FDTpyefAp41P8GQLHWfO7RHp5Gur9y6x+4VYsAk3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"784ebc95971d9e69e5c366907561134293985fecfc2d6bf172ea87d8493c4123","last_reissued_at":"2026-06-25T01:17:55.014010Z","signature_status":"signed_v1","first_computed_at":"2026-06-25T01:17:55.014010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hao Zou, Osama Khlaif, Zhihao Duan","submitted_at":"2026-06-13T11:39:01Z","abstract_excerpt":"We further investigate the 3d gauged linear sigma model (GLSM)/~quantum K-theory correspondence for partial flag manifolds $X \\equiv {\\rm Fl}(\\boldsymbol{k};n)$. This is a 3d uplift of the 2d GLSM/quantum cohomology correspondence with the 3d theory compactified on $\\mathbb{R}^2\\times S^1_\\beta$. Recently, a set of half-BPS line operators, called Schubert line defects, were constructed that correspond to the Schubert classes in the K-theory ring of $X$. Utilizing algebro-geometric algorithms, we compute $2$-point and $3$-point correlation functions of these line operators in the 3d A-model reg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.15261","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.15261/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":"2606.15261","created_at":"2026-06-25T01:17:55.014069+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.15261v2","created_at":"2026-06-25T01:17:55.014069+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.15261","created_at":"2026-06-25T01:17:55.014069+00:00"},{"alias_kind":"pith_short_12","alias_value":"PBHLZFMXDWPG","created_at":"2026-06-25T01:17:55.014069+00:00"},{"alias_kind":"pith_short_16","alias_value":"PBHLZFMXDWPGTZOD","created_at":"2026-06-25T01:17:55.014069+00:00"},{"alias_kind":"pith_short_8","alias_value":"PBHLZFMX","created_at":"2026-06-25T01:17:55.014069+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/PBHLZFMXDWPGTZODM2IHKYITIK","json":"https://pith.science/pith/PBHLZFMXDWPGTZODM2IHKYITIK.json","graph_json":"https://pith.science/api/pith-number/PBHLZFMXDWPGTZODM2IHKYITIK/graph.json","events_json":"https://pith.science/api/pith-number/PBHLZFMXDWPGTZODM2IHKYITIK/events.json","paper":"https://pith.science/paper/PBHLZFMX"},"agent_actions":{"view_html":"https://pith.science/pith/PBHLZFMXDWPGTZODM2IHKYITIK","download_json":"https://pith.science/pith/PBHLZFMXDWPGTZODM2IHKYITIK.json","view_paper":"https://pith.science/paper/PBHLZFMX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.15261&json=true","fetch_graph":"https://pith.science/api/pith-number/PBHLZFMXDWPGTZODM2IHKYITIK/graph.json","fetch_events":"https://pith.science/api/pith-number/PBHLZFMXDWPGTZODM2IHKYITIK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PBHLZFMXDWPGTZODM2IHKYITIK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PBHLZFMXDWPGTZODM2IHKYITIK/action/storage_attestation","attest_author":"https://pith.science/pith/PBHLZFMXDWPGTZODM2IHKYITIK/action/author_attestation","sign_citation":"https://pith.science/pith/PBHLZFMXDWPGTZODM2IHKYITIK/action/citation_signature","submit_replication":"https://pith.science/pith/PBHLZFMXDWPGTZODM2IHKYITIK/action/replication_record"}},"created_at":"2026-06-25T01:17:55.014069+00:00","updated_at":"2026-06-25T01:17:55.014069+00:00"}