{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:O7ZSF3FXAF7QLDJYATEYZDQ27T","short_pith_number":"pith:O7ZSF3FX","schema_version":"1.0","canonical_sha256":"77f322ecb7017f058d3804c98c8e1afcfef5bec12c207258580152e8bf2eb06a","source":{"kind":"arxiv","id":"1404.4415","version":2},"attestation_state":"computed","paper":{"title":"Generalised column removal for graded homomorphisms between Specht modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Liron Speyer, Matthew Fayers","submitted_at":"2014-04-17T02:23:07Z","abstract_excerpt":"Let $n$ be a positive integer, and let $\\mathscr{H}_n$ denote the affine KLR algebra in type A. Kleshchev, Mathas and Ram have given a homogeneous presentation for graded column Specht modules $\\operatorname{S}_{\\lambda}$ for $\\mathscr{H}_n$. Given two multipartitions $\\lambda$ and $\\mu$, we define the notion of a \\emph{dominated} homomorphism $\\operatorname{S}_{\\lambda}\\to\\operatorname{S}_{\\mu}$, and use the KMR presentation to prove a generalised column removal theorem for graded dominated homomorphisms between Specht modules. In the process, we prove some useful properties of $\\mathscr{H}_n"},"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":"1404.4415","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-17T02:23:07Z","cross_cats_sorted":[],"title_canon_sha256":"503907b3ae536b35c2b5534a9d5a79eed7b693fba5e9b1b0503b5aadbf5abf69","abstract_canon_sha256":"126eaa5406bb5000ea86ff43dcee41c66377d68a9427b7ecd79eb0d337fcfe5c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:49.896652Z","signature_b64":"Su9DSWbKF3UhrTXzUaJB3OxQWgYSUobqvzC0dFOJGEOiRDSouysu4FP4ygtNprxer8rAexL+qqT4DNFiF2IkAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77f322ecb7017f058d3804c98c8e1afcfef5bec12c207258580152e8bf2eb06a","last_reissued_at":"2026-05-18T01:09:49.896041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:49.896041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalised column removal for graded homomorphisms between Specht modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Liron Speyer, Matthew Fayers","submitted_at":"2014-04-17T02:23:07Z","abstract_excerpt":"Let $n$ be a positive integer, and let $\\mathscr{H}_n$ denote the affine KLR algebra in type A. Kleshchev, Mathas and Ram have given a homogeneous presentation for graded column Specht modules $\\operatorname{S}_{\\lambda}$ for $\\mathscr{H}_n$. Given two multipartitions $\\lambda$ and $\\mu$, we define the notion of a \\emph{dominated} homomorphism $\\operatorname{S}_{\\lambda}\\to\\operatorname{S}_{\\mu}$, and use the KMR presentation to prove a generalised column removal theorem for graded dominated homomorphisms between Specht modules. In the process, we prove some useful properties of $\\mathscr{H}_n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4415","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":"1404.4415","created_at":"2026-05-18T01:09:49.896141+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.4415v2","created_at":"2026-05-18T01:09:49.896141+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4415","created_at":"2026-05-18T01:09:49.896141+00:00"},{"alias_kind":"pith_short_12","alias_value":"O7ZSF3FXAF7Q","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"O7ZSF3FXAF7QLDJY","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"O7ZSF3FX","created_at":"2026-05-18T12:28:41.024544+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/O7ZSF3FXAF7QLDJYATEYZDQ27T","json":"https://pith.science/pith/O7ZSF3FXAF7QLDJYATEYZDQ27T.json","graph_json":"https://pith.science/api/pith-number/O7ZSF3FXAF7QLDJYATEYZDQ27T/graph.json","events_json":"https://pith.science/api/pith-number/O7ZSF3FXAF7QLDJYATEYZDQ27T/events.json","paper":"https://pith.science/paper/O7ZSF3FX"},"agent_actions":{"view_html":"https://pith.science/pith/O7ZSF3FXAF7QLDJYATEYZDQ27T","download_json":"https://pith.science/pith/O7ZSF3FXAF7QLDJYATEYZDQ27T.json","view_paper":"https://pith.science/paper/O7ZSF3FX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.4415&json=true","fetch_graph":"https://pith.science/api/pith-number/O7ZSF3FXAF7QLDJYATEYZDQ27T/graph.json","fetch_events":"https://pith.science/api/pith-number/O7ZSF3FXAF7QLDJYATEYZDQ27T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O7ZSF3FXAF7QLDJYATEYZDQ27T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O7ZSF3FXAF7QLDJYATEYZDQ27T/action/storage_attestation","attest_author":"https://pith.science/pith/O7ZSF3FXAF7QLDJYATEYZDQ27T/action/author_attestation","sign_citation":"https://pith.science/pith/O7ZSF3FXAF7QLDJYATEYZDQ27T/action/citation_signature","submit_replication":"https://pith.science/pith/O7ZSF3FXAF7QLDJYATEYZDQ27T/action/replication_record"}},"created_at":"2026-05-18T01:09:49.896141+00:00","updated_at":"2026-05-18T01:09:49.896141+00:00"}