{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:PDRR3YEOS3MUZC37FF3EZOKB6A","short_pith_number":"pith:PDRR3YEO","schema_version":"1.0","canonical_sha256":"78e31de08e96d94c8b7f29764cb941f0197a7be09c247a3d3af00cf18ef86fe7","source":{"kind":"arxiv","id":"2312.07639","version":2},"attestation_state":"computed","paper":{"title":"Grade restriction and D-brane transport for a non-abelian GLSM of an elliptic curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Johanna Knapp","submitted_at":"2023-12-12T12:48:13Z","abstract_excerpt":"We discuss a simple model for D-brane transport in non-abelian GLSMs. The model is the elliptic curve version of a non-abelian GLSM introduced by Hori and Tong and has gauge group U(2). It has two geometric phases, both of which describe the same elliptic curve, once realised as a codimension five complete intersection in G(2,5) and once as a determinantal variety. The determinantal phase is strongly coupled with unbroken SU(2). There are two singular points in the moduli space where the theory has a Coulomb branch. Using grade restriction rules, we show how to transport B-branes between the t"},"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":"2312.07639","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-12T12:48:13Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"0db2906e3eab3f8bbf94065d7d614eed7d46daf4b5f3970f5f1e92f2faa5d113","abstract_canon_sha256":"13ec2f2989f53888cce27cff2edd1a74b93788b9219e2b2f8df3be121e1a2ef1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:30:58.120362Z","signature_b64":"b4F3RJEt2IeflQI/2Haxff0BI9WQzGf6pG6Y+qAyC8UniCGP8JT2tgeKl1zCzs7noZu4+18Rdpie5ZuXKmSvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78e31de08e96d94c8b7f29764cb941f0197a7be09c247a3d3af00cf18ef86fe7","last_reissued_at":"2026-07-05T09:30:58.119815Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:30:58.119815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Grade restriction and D-brane transport for a non-abelian GLSM of an elliptic curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Johanna Knapp","submitted_at":"2023-12-12T12:48:13Z","abstract_excerpt":"We discuss a simple model for D-brane transport in non-abelian GLSMs. The model is the elliptic curve version of a non-abelian GLSM introduced by Hori and Tong and has gauge group U(2). It has two geometric phases, both of which describe the same elliptic curve, once realised as a codimension five complete intersection in G(2,5) and once as a determinantal variety. The determinantal phase is strongly coupled with unbroken SU(2). There are two singular points in the moduli space where the theory has a Coulomb branch. Using grade restriction rules, we show how to transport B-branes between the t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.07639","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/2312.07639/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":"2312.07639","created_at":"2026-07-05T09:30:58.119883+00:00"},{"alias_kind":"arxiv_version","alias_value":"2312.07639v2","created_at":"2026-07-05T09:30:58.119883+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.07639","created_at":"2026-07-05T09:30:58.119883+00:00"},{"alias_kind":"pith_short_12","alias_value":"PDRR3YEOS3MU","created_at":"2026-07-05T09:30:58.119883+00:00"},{"alias_kind":"pith_short_16","alias_value":"PDRR3YEOS3MUZC37","created_at":"2026-07-05T09:30:58.119883+00:00"},{"alias_kind":"pith_short_8","alias_value":"PDRR3YEO","created_at":"2026-07-05T09:30:58.119883+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.18514","citing_title":"Monodromy of Calabi-Yau threefold flops via grade restriction rule and their quantum Kahler moduli","ref_index":51,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PDRR3YEOS3MUZC37FF3EZOKB6A","json":"https://pith.science/pith/PDRR3YEOS3MUZC37FF3EZOKB6A.json","graph_json":"https://pith.science/api/pith-number/PDRR3YEOS3MUZC37FF3EZOKB6A/graph.json","events_json":"https://pith.science/api/pith-number/PDRR3YEOS3MUZC37FF3EZOKB6A/events.json","paper":"https://pith.science/paper/PDRR3YEO"},"agent_actions":{"view_html":"https://pith.science/pith/PDRR3YEOS3MUZC37FF3EZOKB6A","download_json":"https://pith.science/pith/PDRR3YEOS3MUZC37FF3EZOKB6A.json","view_paper":"https://pith.science/paper/PDRR3YEO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2312.07639&json=true","fetch_graph":"https://pith.science/api/pith-number/PDRR3YEOS3MUZC37FF3EZOKB6A/graph.json","fetch_events":"https://pith.science/api/pith-number/PDRR3YEOS3MUZC37FF3EZOKB6A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PDRR3YEOS3MUZC37FF3EZOKB6A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PDRR3YEOS3MUZC37FF3EZOKB6A/action/storage_attestation","attest_author":"https://pith.science/pith/PDRR3YEOS3MUZC37FF3EZOKB6A/action/author_attestation","sign_citation":"https://pith.science/pith/PDRR3YEOS3MUZC37FF3EZOKB6A/action/citation_signature","submit_replication":"https://pith.science/pith/PDRR3YEOS3MUZC37FF3EZOKB6A/action/replication_record"}},"created_at":"2026-07-05T09:30:58.119883+00:00","updated_at":"2026-07-05T09:30:58.119883+00:00"}