{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:JMXOH3K5S6HJ4F25Q7SE7BUT6W","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":"211311a058ccd04493c51324a4a892afe55676f1fafcb43e9d7e3d29644cc261","cross_cats_sorted":["math-ph","math.AG","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-09T09:22:35Z","title_canon_sha256":"a0c8cc25ee27607cd2c15ea386e57d28e5823d2637fc4360e13f4e877269e632"},"schema_version":"1.0","source":{"id":"2109.04124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.04124","created_at":"2026-07-05T03:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"2109.04124v1","created_at":"2026-07-05T03:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.04124","created_at":"2026-07-05T03:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"JMXOH3K5S6HJ","created_at":"2026-07-05T03:12:55Z"},{"alias_kind":"pith_short_16","alias_value":"JMXOH3K5S6HJ4F25","created_at":"2026-07-05T03:12:55Z"},{"alias_kind":"pith_short_8","alias_value":"JMXOH3K5","created_at":"2026-07-05T03:12:55Z"}],"graph_snapshots":[{"event_id":"sha256:87762ba8010acefdecaaea64f954c63429cd32c2311c1fbe1050a0f1d35cfaa5","target":"graph","created_at":"2026-07-05T03:12:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2109.04124/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider gauged linear sigma models with gauge group U(1) that exhibit a geometric as well as a Landau Ginzburg phase. We construct defects that implement the transport of D-branes from the Landau-Ginzburg phase to the geometric phase. Through their fusion with boundary conditions these defects in particular provide functors between the respective D-brane categories. The latter map (equivariant) matrix factorizations to coherent sheaves and can be formulated explicitly in terms of complexes of matrix factorizations.","authors_text":"Daniel Roggenkamp, Ilka Brunner, Lukas Krumpeck","cross_cats":["math-ph","math.AG","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-09T09:22:35Z","title":"Defects and phase transitions to geometric phases of abelian GLSMs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.04124","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":"sha256:6538f9cfa58f6a3626795663096f638ca2b0535a0e566f02af4ddb0941be37ab","target":"record","created_at":"2026-07-05T03:12:55Z","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":"211311a058ccd04493c51324a4a892afe55676f1fafcb43e9d7e3d29644cc261","cross_cats_sorted":["math-ph","math.AG","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-09T09:22:35Z","title_canon_sha256":"a0c8cc25ee27607cd2c15ea386e57d28e5823d2637fc4360e13f4e877269e632"},"schema_version":"1.0","source":{"id":"2109.04124","kind":"arxiv","version":1}},"canonical_sha256":"4b2ee3ed5d978e9e175d87e44f8693f58bd71639509c0178db822efebb5f5385","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b2ee3ed5d978e9e175d87e44f8693f58bd71639509c0178db822efebb5f5385","first_computed_at":"2026-07-05T03:12:55.352636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:12:55.352636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nHxqOJFz2GrmIAYMzHoipsB+kenHCzcwp6oYqs1TNMzJlPyPdcML3oKe2jiZh+HWvOb4HdrBcp+Hnf3ak8okBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:12:55.353005Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.04124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6538f9cfa58f6a3626795663096f638ca2b0535a0e566f02af4ddb0941be37ab","sha256:87762ba8010acefdecaaea64f954c63429cd32c2311c1fbe1050a0f1d35cfaa5"],"state_sha256":"89fa48ed35da8b9df723e7ecd5225cf7abad61d83483bceba7c1c124d282d433"}