{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:DG7FIJD24XQGZIJFDYCZCXZMTP","short_pith_number":"pith:DG7FIJD2","schema_version":"1.0","canonical_sha256":"19be54247ae5e06ca1251e05915f2c9bd657a6eb4df3861f3b1d65f25a2d9a38","source":{"kind":"arxiv","id":"2008.04909","version":2},"attestation_state":"computed","paper":{"title":"Quantum K theory of symplectic Grassmannians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Sharpe, H. Zou, L. Mihalcea, W. Gu","submitted_at":"2020-08-11T18:00:00Z","abstract_excerpt":"In this paper we discuss physical derivations of the quantum K theory rings of symplectic Grassmannians. We compare to standard presentations in terms of Schubert cycles, but most of our work revolves around a proposed description in terms of two other bases, involving shifted Wilson lines and lambda_y classes, which are motivated by and amenable to physics, and which we also provide for ordinary Grassmannians."},"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":"2008.04909","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-11T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"ee3d6f8f7f13cc99e4c292f633f529fd5b0bfd31d2159a268c875c858364f7a6","abstract_canon_sha256":"79267d02a5ee9c8a99be8a29552496926d9bd62187a31b5a773bb4917c852183"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:45:46.802276Z","signature_b64":"UlHXTGsHyNhFJ7RXsSiZScfgD0h+d0V8EodYF0g/WcEmAVaeMFafxZroYzQNSvgcrqHCxI5pnApx8iLpcNVvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19be54247ae5e06ca1251e05915f2c9bd657a6eb4df3861f3b1d65f25a2d9a38","last_reissued_at":"2026-07-05T06:45:46.801806Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:45:46.801806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum K theory of symplectic Grassmannians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Sharpe, H. Zou, L. Mihalcea, W. Gu","submitted_at":"2020-08-11T18:00:00Z","abstract_excerpt":"In this paper we discuss physical derivations of the quantum K theory rings of symplectic Grassmannians. We compare to standard presentations in terms of Schubert cycles, but most of our work revolves around a proposed description in terms of two other bases, involving shifted Wilson lines and lambda_y classes, which are motivated by and amenable to physics, and which we also provide for ordinary Grassmannians."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.04909","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/2008.04909/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":"2008.04909","created_at":"2026-07-05T06:45:46.801862+00:00"},{"alias_kind":"arxiv_version","alias_value":"2008.04909v2","created_at":"2026-07-05T06:45:46.801862+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.04909","created_at":"2026-07-05T06:45:46.801862+00:00"},{"alias_kind":"pith_short_12","alias_value":"DG7FIJD24XQG","created_at":"2026-07-05T06:45:46.801862+00:00"},{"alias_kind":"pith_short_16","alias_value":"DG7FIJD24XQGZIJF","created_at":"2026-07-05T06:45:46.801862+00:00"},{"alias_kind":"pith_short_8","alias_value":"DG7FIJD2","created_at":"2026-07-05T06:45:46.801862+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.15261","citing_title":"On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2508.00050","citing_title":"Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries","ref_index":92,"is_internal_anchor":false},{"citing_arxiv_id":"2512.19802","citing_title":"Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2601.18881","citing_title":"Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials","ref_index":11,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DG7FIJD24XQGZIJFDYCZCXZMTP","json":"https://pith.science/pith/DG7FIJD24XQGZIJFDYCZCXZMTP.json","graph_json":"https://pith.science/api/pith-number/DG7FIJD24XQGZIJFDYCZCXZMTP/graph.json","events_json":"https://pith.science/api/pith-number/DG7FIJD24XQGZIJFDYCZCXZMTP/events.json","paper":"https://pith.science/paper/DG7FIJD2"},"agent_actions":{"view_html":"https://pith.science/pith/DG7FIJD24XQGZIJFDYCZCXZMTP","download_json":"https://pith.science/pith/DG7FIJD24XQGZIJFDYCZCXZMTP.json","view_paper":"https://pith.science/paper/DG7FIJD2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2008.04909&json=true","fetch_graph":"https://pith.science/api/pith-number/DG7FIJD24XQGZIJFDYCZCXZMTP/graph.json","fetch_events":"https://pith.science/api/pith-number/DG7FIJD24XQGZIJFDYCZCXZMTP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DG7FIJD24XQGZIJFDYCZCXZMTP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DG7FIJD24XQGZIJFDYCZCXZMTP/action/storage_attestation","attest_author":"https://pith.science/pith/DG7FIJD24XQGZIJFDYCZCXZMTP/action/author_attestation","sign_citation":"https://pith.science/pith/DG7FIJD24XQGZIJFDYCZCXZMTP/action/citation_signature","submit_replication":"https://pith.science/pith/DG7FIJD24XQGZIJFDYCZCXZMTP/action/replication_record"}},"created_at":"2026-07-05T06:45:46.801862+00:00","updated_at":"2026-07-05T06:45:46.801862+00:00"}