{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:24U2PZ7KOJJE4PBIFNJXSUIQSP","short_pith_number":"pith:24U2PZ7K","schema_version":"1.0","canonical_sha256":"d729a7e7ea72524e3c282b5379511093eeed6fbe279ec11f0a89100485caf518","source":{"kind":"arxiv","id":"1711.03375","version":2},"attestation_state":"computed","paper":{"title":"The equivariant cohomology of weighted flag orbifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"math.AT","authors_text":"Haniya Azam, Muhammad Imran Qureshi, Shaheen Nazir","submitted_at":"2017-11-09T13:42:55Z","abstract_excerpt":"We describe the torus-equivariant cohomology of weighted partial flag orbifolds ${\\mathrm{w}}\\Sigma$ of type $A$. We establish counterparts of several results known for the partial flag variety that collectively constitute what we refer to as ``Schubert Calculus on ${\\mathrm{w}}\\Sigma$''. For the weighed Schubert classes in ${\\mathrm{w}}\\Sigma$, we give the Chevalley's formula. In addition, we define the weighted analogue of double Schubert polynomials and give the corresponding Chevalley--Monk's formula."},"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":"1711.03375","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-11-09T13:42:55Z","cross_cats_sorted":["math.AG","math.CO"],"title_canon_sha256":"a78e1d1a8fb4c519419970d3f2a673dcda59d2f59a706efd37ee9d97f28b0783","abstract_canon_sha256":"7ea6fe4c231f157a292e896a5c2ece0e3a56c212e91fc44386c577959ed43c59"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:28.602229Z","signature_b64":"b+Cf4HH5sWdP9Y4KNshUTNM2u/n/t6lI86DA10gpDGfrihTZHVdttTbcD7OBE6GZp3g6O3NH2UJwOSHnGHQYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d729a7e7ea72524e3c282b5379511093eeed6fbe279ec11f0a89100485caf518","last_reissued_at":"2026-05-17T23:43:28.601659Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:28.601659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The equivariant cohomology of weighted flag orbifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"math.AT","authors_text":"Haniya Azam, Muhammad Imran Qureshi, Shaheen Nazir","submitted_at":"2017-11-09T13:42:55Z","abstract_excerpt":"We describe the torus-equivariant cohomology of weighted partial flag orbifolds ${\\mathrm{w}}\\Sigma$ of type $A$. We establish counterparts of several results known for the partial flag variety that collectively constitute what we refer to as ``Schubert Calculus on ${\\mathrm{w}}\\Sigma$''. For the weighed Schubert classes in ${\\mathrm{w}}\\Sigma$, we give the Chevalley's formula. In addition, we define the weighted analogue of double Schubert polynomials and give the corresponding Chevalley--Monk's formula."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03375","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":""},"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":"1711.03375","created_at":"2026-05-17T23:43:28.601749+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.03375v2","created_at":"2026-05-17T23:43:28.601749+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.03375","created_at":"2026-05-17T23:43:28.601749+00:00"},{"alias_kind":"pith_short_12","alias_value":"24U2PZ7KOJJE","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"24U2PZ7KOJJE4PBI","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"24U2PZ7K","created_at":"2026-05-18T12:30:55.937587+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/24U2PZ7KOJJE4PBIFNJXSUIQSP","json":"https://pith.science/pith/24U2PZ7KOJJE4PBIFNJXSUIQSP.json","graph_json":"https://pith.science/api/pith-number/24U2PZ7KOJJE4PBIFNJXSUIQSP/graph.json","events_json":"https://pith.science/api/pith-number/24U2PZ7KOJJE4PBIFNJXSUIQSP/events.json","paper":"https://pith.science/paper/24U2PZ7K"},"agent_actions":{"view_html":"https://pith.science/pith/24U2PZ7KOJJE4PBIFNJXSUIQSP","download_json":"https://pith.science/pith/24U2PZ7KOJJE4PBIFNJXSUIQSP.json","view_paper":"https://pith.science/paper/24U2PZ7K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.03375&json=true","fetch_graph":"https://pith.science/api/pith-number/24U2PZ7KOJJE4PBIFNJXSUIQSP/graph.json","fetch_events":"https://pith.science/api/pith-number/24U2PZ7KOJJE4PBIFNJXSUIQSP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/24U2PZ7KOJJE4PBIFNJXSUIQSP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/24U2PZ7KOJJE4PBIFNJXSUIQSP/action/storage_attestation","attest_author":"https://pith.science/pith/24U2PZ7KOJJE4PBIFNJXSUIQSP/action/author_attestation","sign_citation":"https://pith.science/pith/24U2PZ7KOJJE4PBIFNJXSUIQSP/action/citation_signature","submit_replication":"https://pith.science/pith/24U2PZ7KOJJE4PBIFNJXSUIQSP/action/replication_record"}},"created_at":"2026-05-17T23:43:28.601749+00:00","updated_at":"2026-05-17T23:43:28.601749+00:00"}