{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:ZTWQZDOS5ITKKUZ6ZQEB66PSG5","short_pith_number":"pith:ZTWQZDOS","schema_version":"1.0","canonical_sha256":"cced0c8dd2ea26a5533ecc081f79f23748e178118dd71d2ecf785fd9fa92f4a2","source":{"kind":"arxiv","id":"2605.26556","version":1},"attestation_state":"computed","paper":{"title":"Motivic Segre classes of Schubert cells and the connective formal group law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.RT"],"primary_cat":"math.CO","authors_text":"Raj Gandhi","submitted_at":"2026-05-26T05:11:18Z","abstract_excerpt":"We use the connective formal group law to define a one-parameter ($\\beta$-)deformation of the motivic Segre classes of Schubert cells in the $d$-step flag variety. This $\\beta$-deformation specializes to the motivic Segre classes of Schubert cells when $\\beta=1$ and to the Segre-Schwartz-MacPherson classes of Schubert cells when $\\beta=0$. We define rational function representatives for the $\\beta$-deformed classes in the $d=1$ case in terms of a solvable lattice model, and we prove a combinatorial formula for the structure constants in the $\\beta$-deformed basis in the $d=1$ case using Knutso"},"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":"2605.26556","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-05-26T05:11:18Z","cross_cats_sorted":["math.AT","math.RT"],"title_canon_sha256":"8e63a8b402407c9aaa4c2bd247e387252119e4fbb9d2de221524d8c499a328e0","abstract_canon_sha256":"897840f4b6b410fdf16df9280017523521e1cfcd10ef522fa79f19971a0fbdc5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:05:26.240350Z","signature_b64":"EEV3ZcW2fvNVckAKNP46yNaWQ1ZiviJyTwfXhYluW3p2yOz5f10MjsaAJRDLM+xpmcC6wQ3b14vhR8EBnkyTAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cced0c8dd2ea26a5533ecc081f79f23748e178118dd71d2ecf785fd9fa92f4a2","last_reissued_at":"2026-05-27T01:05:26.239782Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:05:26.239782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Motivic Segre classes of Schubert cells and the connective formal group law","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.RT"],"primary_cat":"math.CO","authors_text":"Raj Gandhi","submitted_at":"2026-05-26T05:11:18Z","abstract_excerpt":"We use the connective formal group law to define a one-parameter ($\\beta$-)deformation of the motivic Segre classes of Schubert cells in the $d$-step flag variety. This $\\beta$-deformation specializes to the motivic Segre classes of Schubert cells when $\\beta=1$ and to the Segre-Schwartz-MacPherson classes of Schubert cells when $\\beta=0$. We define rational function representatives for the $\\beta$-deformed classes in the $d=1$ case in terms of a solvable lattice model, and we prove a combinatorial formula for the structure constants in the $\\beta$-deformed basis in the $d=1$ case using Knutso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.26556","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/2605.26556/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":"2605.26556","created_at":"2026-05-27T01:05:26.239882+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.26556v1","created_at":"2026-05-27T01:05:26.239882+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.26556","created_at":"2026-05-27T01:05:26.239882+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZTWQZDOS5ITK","created_at":"2026-05-27T01:05:26.239882+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZTWQZDOS5ITKKUZ6","created_at":"2026-05-27T01:05:26.239882+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZTWQZDOS","created_at":"2026-05-27T01:05:26.239882+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/ZTWQZDOS5ITKKUZ6ZQEB66PSG5","json":"https://pith.science/pith/ZTWQZDOS5ITKKUZ6ZQEB66PSG5.json","graph_json":"https://pith.science/api/pith-number/ZTWQZDOS5ITKKUZ6ZQEB66PSG5/graph.json","events_json":"https://pith.science/api/pith-number/ZTWQZDOS5ITKKUZ6ZQEB66PSG5/events.json","paper":"https://pith.science/paper/ZTWQZDOS"},"agent_actions":{"view_html":"https://pith.science/pith/ZTWQZDOS5ITKKUZ6ZQEB66PSG5","download_json":"https://pith.science/pith/ZTWQZDOS5ITKKUZ6ZQEB66PSG5.json","view_paper":"https://pith.science/paper/ZTWQZDOS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.26556&json=true","fetch_graph":"https://pith.science/api/pith-number/ZTWQZDOS5ITKKUZ6ZQEB66PSG5/graph.json","fetch_events":"https://pith.science/api/pith-number/ZTWQZDOS5ITKKUZ6ZQEB66PSG5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZTWQZDOS5ITKKUZ6ZQEB66PSG5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZTWQZDOS5ITKKUZ6ZQEB66PSG5/action/storage_attestation","attest_author":"https://pith.science/pith/ZTWQZDOS5ITKKUZ6ZQEB66PSG5/action/author_attestation","sign_citation":"https://pith.science/pith/ZTWQZDOS5ITKKUZ6ZQEB66PSG5/action/citation_signature","submit_replication":"https://pith.science/pith/ZTWQZDOS5ITKKUZ6ZQEB66PSG5/action/replication_record"}},"created_at":"2026-05-27T01:05:26.239882+00:00","updated_at":"2026-05-27T01:05:26.239882+00:00"}