{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:TUOODALMSSFDUYIBV6KFGHAP2M","short_pith_number":"pith:TUOODALM","schema_version":"1.0","canonical_sha256":"9d1ce1816c948a3a6101af94531c0fd33ab695e0842cf82c13ce1e8160e5cfd9","source":{"kind":"arxiv","id":"2606.17318","version":1},"attestation_state":"computed","paper":{"title":"Schubert varieties for the super affine Grassmannian of $GL_{n|m}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Sofia Gureva, Vladimir Stukopin","submitted_at":"2026-06-15T21:56:46Z","abstract_excerpt":"We study Schubert varieties of the affine Grassmannian for the general linear supergroup $GL_{n|m}$. An explicit computational study is conducted in low-dimensional cases, namely for dimensions $n|m = 1|1$ and $2|1$. We describe the supervariety structures that arise in these settings, providing coordinate descriptions, equations, and morphisms."},"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":"2606.17318","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-15T21:56:46Z","cross_cats_sorted":[],"title_canon_sha256":"9a1bf962320e301d5e3e4de5549fcb4a96b0e233948b6f7749e0e14424a2e3fe","abstract_canon_sha256":"20573b3d9892788168a03fa9787b71c61947d675406fa47ad0bf325833da5691"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:10:08.869493Z","signature_b64":"4rcfGTynVlR7wP4n/r6l0jDK5mv7yGJmy11MOzfAVEKI64dUkm4tCcV3IbPc8K/eUExMGhuzX+dG7TFmhHClCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d1ce1816c948a3a6101af94531c0fd33ab695e0842cf82c13ce1e8160e5cfd9","last_reissued_at":"2026-06-19T16:10:08.869131Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:10:08.869131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Schubert varieties for the super affine Grassmannian of $GL_{n|m}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Sofia Gureva, Vladimir Stukopin","submitted_at":"2026-06-15T21:56:46Z","abstract_excerpt":"We study Schubert varieties of the affine Grassmannian for the general linear supergroup $GL_{n|m}$. An explicit computational study is conducted in low-dimensional cases, namely for dimensions $n|m = 1|1$ and $2|1$. We describe the supervariety structures that arise in these settings, providing coordinate descriptions, equations, and morphisms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17318","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.17318/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":"2606.17318","created_at":"2026-06-19T16:10:08.869194+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.17318v1","created_at":"2026-06-19T16:10:08.869194+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.17318","created_at":"2026-06-19T16:10:08.869194+00:00"},{"alias_kind":"pith_short_12","alias_value":"TUOODALMSSFD","created_at":"2026-06-19T16:10:08.869194+00:00"},{"alias_kind":"pith_short_16","alias_value":"TUOODALMSSFDUYIB","created_at":"2026-06-19T16:10:08.869194+00:00"},{"alias_kind":"pith_short_8","alias_value":"TUOODALM","created_at":"2026-06-19T16:10:08.869194+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/TUOODALMSSFDUYIBV6KFGHAP2M","json":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M.json","graph_json":"https://pith.science/api/pith-number/TUOODALMSSFDUYIBV6KFGHAP2M/graph.json","events_json":"https://pith.science/api/pith-number/TUOODALMSSFDUYIBV6KFGHAP2M/events.json","paper":"https://pith.science/paper/TUOODALM"},"agent_actions":{"view_html":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M","download_json":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M.json","view_paper":"https://pith.science/paper/TUOODALM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.17318&json=true","fetch_graph":"https://pith.science/api/pith-number/TUOODALMSSFDUYIBV6KFGHAP2M/graph.json","fetch_events":"https://pith.science/api/pith-number/TUOODALMSSFDUYIBV6KFGHAP2M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M/action/storage_attestation","attest_author":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M/action/author_attestation","sign_citation":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M/action/citation_signature","submit_replication":"https://pith.science/pith/TUOODALMSSFDUYIBV6KFGHAP2M/action/replication_record"}},"created_at":"2026-06-19T16:10:08.869194+00:00","updated_at":"2026-06-19T16:10:08.869194+00:00"}