{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7UG5IC57VGCTPJL75BLAWUHHHY","short_pith_number":"pith:7UG5IC57","schema_version":"1.0","canonical_sha256":"fd0dd40bbfa98537a57fe8560b50e73e075b5cb450a4a0822a3288ecd39aa92b","source":{"kind":"arxiv","id":"1403.0788","version":8},"attestation_state":"computed","paper":{"title":"A Gysin formula for Hall-Littlewood polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Piotr Pragacz","submitted_at":"2014-03-04T13:43:42Z","abstract_excerpt":"We give a formula for pushing forward the classes of Hall-Littlewood polynomials in Grassmann bundles, generalizing Gysin formulas for Schur S- and Q-functions."},"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":"1403.0788","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-03-04T13:43:42Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"90a28f765944e402280cc68eaa298885a5302f2c7add60cc929ceabb538711eb","abstract_canon_sha256":"999e2e89d1093c21fd46b9951cfdccbb3b00e1aa858f13c1f7d41d52afef7a30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:37.933738Z","signature_b64":"PFo+o7juSHLyWspy0LuzHKhrvAWEbpUXvlL3+y+CHGTWrl0zzkLHGDJsYfX8gR+s75PM9EiOWdQX70tzNXz2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd0dd40bbfa98537a57fe8560b50e73e075b5cb450a4a0822a3288ecd39aa92b","last_reissued_at":"2026-05-18T01:17:37.933048Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:37.933048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Gysin formula for Hall-Littlewood polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Piotr Pragacz","submitted_at":"2014-03-04T13:43:42Z","abstract_excerpt":"We give a formula for pushing forward the classes of Hall-Littlewood polynomials in Grassmann bundles, generalizing Gysin formulas for Schur S- and Q-functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0788","kind":"arxiv","version":8},"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":"1403.0788","created_at":"2026-05-18T01:17:37.933156+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.0788v8","created_at":"2026-05-18T01:17:37.933156+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0788","created_at":"2026-05-18T01:17:37.933156+00:00"},{"alias_kind":"pith_short_12","alias_value":"7UG5IC57VGCT","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7UG5IC57VGCTPJL7","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7UG5IC57","created_at":"2026-05-18T12:28:19.803747+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/7UG5IC57VGCTPJL75BLAWUHHHY","json":"https://pith.science/pith/7UG5IC57VGCTPJL75BLAWUHHHY.json","graph_json":"https://pith.science/api/pith-number/7UG5IC57VGCTPJL75BLAWUHHHY/graph.json","events_json":"https://pith.science/api/pith-number/7UG5IC57VGCTPJL75BLAWUHHHY/events.json","paper":"https://pith.science/paper/7UG5IC57"},"agent_actions":{"view_html":"https://pith.science/pith/7UG5IC57VGCTPJL75BLAWUHHHY","download_json":"https://pith.science/pith/7UG5IC57VGCTPJL75BLAWUHHHY.json","view_paper":"https://pith.science/paper/7UG5IC57","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.0788&json=true","fetch_graph":"https://pith.science/api/pith-number/7UG5IC57VGCTPJL75BLAWUHHHY/graph.json","fetch_events":"https://pith.science/api/pith-number/7UG5IC57VGCTPJL75BLAWUHHHY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7UG5IC57VGCTPJL75BLAWUHHHY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7UG5IC57VGCTPJL75BLAWUHHHY/action/storage_attestation","attest_author":"https://pith.science/pith/7UG5IC57VGCTPJL75BLAWUHHHY/action/author_attestation","sign_citation":"https://pith.science/pith/7UG5IC57VGCTPJL75BLAWUHHHY/action/citation_signature","submit_replication":"https://pith.science/pith/7UG5IC57VGCTPJL75BLAWUHHHY/action/replication_record"}},"created_at":"2026-05-18T01:17:37.933156+00:00","updated_at":"2026-05-18T01:17:37.933156+00:00"}