{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:35O6CDHHBPSSJHHJ5QIA7ATNTH","short_pith_number":"pith:35O6CDHH","schema_version":"1.0","canonical_sha256":"df5de10ce70be5249ce9ec100f826d99d5ea977d1f5ffe58b1e28829ba26b6fd","source":{"kind":"arxiv","id":"1509.08268","version":1},"attestation_state":"computed","paper":{"title":"On Blocks with One Modular Character","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Britta Sp\\\"ath, Gabriel Navarro, Gunter Malle","submitted_at":"2015-09-28T11:05:46Z","abstract_excerpt":"Suppose that $B$ is a Brauer $p$-block of a finite group $G$ with a unique modular character $\\varphi$. We prove that $\\varphi$ is liftable to an ordinary character of $G$ (which moreover is $p$-rational for odd $p$). This confirms the basic set conjecture for these blocks."},"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":"1509.08268","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-09-28T11:05:46Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"9d3a2e2bdfe6896dcb09a14e00df82522cbf80c0dc6a6c03e28a805ac6c0a6c0","abstract_canon_sha256":"aa53601bf4dd51b3b057bf9dc7d1da715c71317d293352fb8e272c8c478ca58e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:54.282755Z","signature_b64":"YaQri4zvDNT6mziPznIDBNorhyE2bxDcVB30uV+WCaWGYadNdocGGGKs0C7VHhya1iYDcL9ULmzOZySqEfhuCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df5de10ce70be5249ce9ec100f826d99d5ea977d1f5ffe58b1e28829ba26b6fd","last_reissued_at":"2026-05-18T01:31:54.282198Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:54.282198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Blocks with One Modular Character","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Britta Sp\\\"ath, Gabriel Navarro, Gunter Malle","submitted_at":"2015-09-28T11:05:46Z","abstract_excerpt":"Suppose that $B$ is a Brauer $p$-block of a finite group $G$ with a unique modular character $\\varphi$. We prove that $\\varphi$ is liftable to an ordinary character of $G$ (which moreover is $p$-rational for odd $p$). This confirms the basic set conjecture for these blocks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08268","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":""},"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":"1509.08268","created_at":"2026-05-18T01:31:54.282282+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.08268v1","created_at":"2026-05-18T01:31:54.282282+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08268","created_at":"2026-05-18T01:31:54.282282+00:00"},{"alias_kind":"pith_short_12","alias_value":"35O6CDHHBPSS","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"35O6CDHHBPSSJHHJ","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"35O6CDHH","created_at":"2026-05-18T12:29:02.477457+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/35O6CDHHBPSSJHHJ5QIA7ATNTH","json":"https://pith.science/pith/35O6CDHHBPSSJHHJ5QIA7ATNTH.json","graph_json":"https://pith.science/api/pith-number/35O6CDHHBPSSJHHJ5QIA7ATNTH/graph.json","events_json":"https://pith.science/api/pith-number/35O6CDHHBPSSJHHJ5QIA7ATNTH/events.json","paper":"https://pith.science/paper/35O6CDHH"},"agent_actions":{"view_html":"https://pith.science/pith/35O6CDHHBPSSJHHJ5QIA7ATNTH","download_json":"https://pith.science/pith/35O6CDHHBPSSJHHJ5QIA7ATNTH.json","view_paper":"https://pith.science/paper/35O6CDHH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.08268&json=true","fetch_graph":"https://pith.science/api/pith-number/35O6CDHHBPSSJHHJ5QIA7ATNTH/graph.json","fetch_events":"https://pith.science/api/pith-number/35O6CDHHBPSSJHHJ5QIA7ATNTH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/35O6CDHHBPSSJHHJ5QIA7ATNTH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/35O6CDHHBPSSJHHJ5QIA7ATNTH/action/storage_attestation","attest_author":"https://pith.science/pith/35O6CDHHBPSSJHHJ5QIA7ATNTH/action/author_attestation","sign_citation":"https://pith.science/pith/35O6CDHHBPSSJHHJ5QIA7ATNTH/action/citation_signature","submit_replication":"https://pith.science/pith/35O6CDHHBPSSJHHJ5QIA7ATNTH/action/replication_record"}},"created_at":"2026-05-18T01:31:54.282282+00:00","updated_at":"2026-05-18T01:31:54.282282+00:00"}