{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:NTU745GLCAAYHUUA3UBMPDDGA7","short_pith_number":"pith:NTU745GL","schema_version":"1.0","canonical_sha256":"6ce9fe74cb100183d280dd02c78c6607c73f7c83fcf29c7c068e77684bec9cf7","source":{"kind":"arxiv","id":"1903.07717","version":3},"attestation_state":"computed","paper":{"title":"Kronecker positivity and 2-modular representation theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.RT","authors_text":"C. Bessenrodt, C. Bowman, L. Sutton","submitted_at":"2019-03-18T20:58:44Z","abstract_excerpt":"This paper consists of two prongs. Firstly, we prove that any Specht module labelled by a 2-separated partition is semisimple and we completely determine its decomposition as a direct sum of graded simple modules. Secondly, we apply these results and other modular representation theoretic techniques on the study of Kronecker coefficients and hence verify Saxl's conjecture for a large new class of partitions."},"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":"1903.07717","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-18T20:58:44Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"d2931f28af6c30ec50d066c1ccc665914544f7805e1387679cd8a3c62962be23","abstract_canon_sha256":"db50461a94f2faf7b4bec60a0616843665fc98919f0eb6c3c3a32865923bf871"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:08.763739Z","signature_b64":"lSEQAG0DA1PjkRhyrkNDVRahQzlVMyN6GZ9LLcCpAtpIrp3PNo8o0Z6NiMuUmsre7G17We8Z7TIFgjwaYdgTCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ce9fe74cb100183d280dd02c78c6607c73f7c83fcf29c7c068e77684bec9cf7","last_reissued_at":"2026-05-17T23:49:08.763065Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:08.763065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kronecker positivity and 2-modular representation theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.RT","authors_text":"C. Bessenrodt, C. Bowman, L. Sutton","submitted_at":"2019-03-18T20:58:44Z","abstract_excerpt":"This paper consists of two prongs. Firstly, we prove that any Specht module labelled by a 2-separated partition is semisimple and we completely determine its decomposition as a direct sum of graded simple modules. Secondly, we apply these results and other modular representation theoretic techniques on the study of Kronecker coefficients and hence verify Saxl's conjecture for a large new class of partitions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07717","kind":"arxiv","version":3},"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":"1903.07717","created_at":"2026-05-17T23:49:08.763166+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.07717v3","created_at":"2026-05-17T23:49:08.763166+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07717","created_at":"2026-05-17T23:49:08.763166+00:00"},{"alias_kind":"pith_short_12","alias_value":"NTU745GLCAAY","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"NTU745GLCAAYHUUA","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"NTU745GL","created_at":"2026-05-18T12:33:24.271573+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/NTU745GLCAAYHUUA3UBMPDDGA7","json":"https://pith.science/pith/NTU745GLCAAYHUUA3UBMPDDGA7.json","graph_json":"https://pith.science/api/pith-number/NTU745GLCAAYHUUA3UBMPDDGA7/graph.json","events_json":"https://pith.science/api/pith-number/NTU745GLCAAYHUUA3UBMPDDGA7/events.json","paper":"https://pith.science/paper/NTU745GL"},"agent_actions":{"view_html":"https://pith.science/pith/NTU745GLCAAYHUUA3UBMPDDGA7","download_json":"https://pith.science/pith/NTU745GLCAAYHUUA3UBMPDDGA7.json","view_paper":"https://pith.science/paper/NTU745GL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.07717&json=true","fetch_graph":"https://pith.science/api/pith-number/NTU745GLCAAYHUUA3UBMPDDGA7/graph.json","fetch_events":"https://pith.science/api/pith-number/NTU745GLCAAYHUUA3UBMPDDGA7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NTU745GLCAAYHUUA3UBMPDDGA7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NTU745GLCAAYHUUA3UBMPDDGA7/action/storage_attestation","attest_author":"https://pith.science/pith/NTU745GLCAAYHUUA3UBMPDDGA7/action/author_attestation","sign_citation":"https://pith.science/pith/NTU745GLCAAYHUUA3UBMPDDGA7/action/citation_signature","submit_replication":"https://pith.science/pith/NTU745GLCAAYHUUA3UBMPDDGA7/action/replication_record"}},"created_at":"2026-05-17T23:49:08.763166+00:00","updated_at":"2026-05-17T23:49:08.763166+00:00"}