{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:RBR3T44DDUAXPLVT5OFCYRHKBX","short_pith_number":"pith:RBR3T44D","schema_version":"1.0","canonical_sha256":"8863b9f3831d0177aeb3eb8a2c44ea0dc007f91f97fbcac61c0a6ae0c8fc25d2","source":{"kind":"arxiv","id":"1902.04353","version":1},"attestation_state":"computed","paper":{"title":"Torus quotient of Richardson varieties in Orthogonal and Symplectic Grassmannians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Arpita Nayek, Santosha Kumar Pattanayak","submitted_at":"2019-02-12T12:22:38Z","abstract_excerpt":"For any simple, simply connected algebraic group $G$ of type $B,C$ and $D$ and for any maximal parabolic subgroup $P$ of $G$, we provide a criterion for a Richardson variety in $G/P$ to admit semistable points for the action of a maximal torus $T$ with respect to an ample line bundle on $G/P$."},"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":"1902.04353","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-02-12T12:22:38Z","cross_cats_sorted":[],"title_canon_sha256":"45372c0505bc7f5888c6ba2fe8019581afdb0c2cb420785ae39b9eaf89f8faee","abstract_canon_sha256":"a0375587b2373755bbba6fd00e31dcce6a40044a187f4b236b8a0ff5be493a4c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:12.505256Z","signature_b64":"MtOxPjR0ifm2BaJl2mpRS0/f8w744djQqJrfGPUblYZjCfx3Opk4t+IZGwCkSCAqKFOXdVWo+igKmlAy5MaADA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8863b9f3831d0177aeb3eb8a2c44ea0dc007f91f97fbcac61c0a6ae0c8fc25d2","last_reissued_at":"2026-05-17T23:54:12.504835Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:12.504835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Torus quotient of Richardson varieties in Orthogonal and Symplectic Grassmannians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Arpita Nayek, Santosha Kumar Pattanayak","submitted_at":"2019-02-12T12:22:38Z","abstract_excerpt":"For any simple, simply connected algebraic group $G$ of type $B,C$ and $D$ and for any maximal parabolic subgroup $P$ of $G$, we provide a criterion for a Richardson variety in $G/P$ to admit semistable points for the action of a maximal torus $T$ with respect to an ample line bundle on $G/P$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04353","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":""},"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":"1902.04353","created_at":"2026-05-17T23:54:12.504901+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.04353v1","created_at":"2026-05-17T23:54:12.504901+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04353","created_at":"2026-05-17T23:54:12.504901+00:00"},{"alias_kind":"pith_short_12","alias_value":"RBR3T44DDUAX","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"RBR3T44DDUAXPLVT","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"RBR3T44D","created_at":"2026-05-18T12:33:27.125529+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/RBR3T44DDUAXPLVT5OFCYRHKBX","json":"https://pith.science/pith/RBR3T44DDUAXPLVT5OFCYRHKBX.json","graph_json":"https://pith.science/api/pith-number/RBR3T44DDUAXPLVT5OFCYRHKBX/graph.json","events_json":"https://pith.science/api/pith-number/RBR3T44DDUAXPLVT5OFCYRHKBX/events.json","paper":"https://pith.science/paper/RBR3T44D"},"agent_actions":{"view_html":"https://pith.science/pith/RBR3T44DDUAXPLVT5OFCYRHKBX","download_json":"https://pith.science/pith/RBR3T44DDUAXPLVT5OFCYRHKBX.json","view_paper":"https://pith.science/paper/RBR3T44D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.04353&json=true","fetch_graph":"https://pith.science/api/pith-number/RBR3T44DDUAXPLVT5OFCYRHKBX/graph.json","fetch_events":"https://pith.science/api/pith-number/RBR3T44DDUAXPLVT5OFCYRHKBX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RBR3T44DDUAXPLVT5OFCYRHKBX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RBR3T44DDUAXPLVT5OFCYRHKBX/action/storage_attestation","attest_author":"https://pith.science/pith/RBR3T44DDUAXPLVT5OFCYRHKBX/action/author_attestation","sign_citation":"https://pith.science/pith/RBR3T44DDUAXPLVT5OFCYRHKBX/action/citation_signature","submit_replication":"https://pith.science/pith/RBR3T44DDUAXPLVT5OFCYRHKBX/action/replication_record"}},"created_at":"2026-05-17T23:54:12.504901+00:00","updated_at":"2026-05-17T23:54:12.504901+00:00"}