{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3CR3W6EOKUOWXL7YDRYBL2YHFP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ea1dccd91f1e06d651d1e2cb402692be00a83f5d14f18bdbf502cc8a31c4a521","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-03-16T22:27:52Z","title_canon_sha256":"57816762fef7cdb8727ca2e580bc65bfbd4d07ed82e77548193d5986ce451078"},"schema_version":"1.0","source":{"id":"2403.11030","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.11030","created_at":"2026-07-05T10:24:53Z"},{"alias_kind":"arxiv_version","alias_value":"2403.11030v3","created_at":"2026-07-05T10:24:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.11030","created_at":"2026-07-05T10:24:53Z"},{"alias_kind":"pith_short_12","alias_value":"3CR3W6EOKUOW","created_at":"2026-07-05T10:24:53Z"},{"alias_kind":"pith_short_16","alias_value":"3CR3W6EOKUOWXL7Y","created_at":"2026-07-05T10:24:53Z"},{"alias_kind":"pith_short_8","alias_value":"3CR3W6EO","created_at":"2026-07-05T10:24:53Z"}],"graph_snapshots":[{"event_id":"sha256:2db501bab022c7c43caf4f291fb57e778147aa89ddac47f36f362c362d78b496","target":"graph","created_at":"2026-07-05T10:24:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2403.11030/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given a prime number $p$, we perform the study of Chow motives and motivic decompositions, with coefficients in $\\mathbb{Z}/p\\mathbb{Z}$, of projective homogeneous varieties for $p'$-inner $p$-consistent reductive algebraic groups. Assorted with the known case of $p$-inner reductive groups, our results cover all absolutely simple groups of type not $^3\\!D_4$ or $^6\\!D_4$, among other examples. First, we define the A-upper motives of such a reductive group $G$; they are indecomposable motives, naturally related to Artin motives built out of spectra of subextensions of a minimal extension over w","authors_text":"Anne Qu\\'eguiner-Mathieu, Charles De Clercq, Nikita Karpenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-03-16T22:27:52Z","title":"A-upper motives of reductive groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.11030","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d4516bf173cb3855f2d5f8d2e11cfe87f29bc92ebe14352c1060ba4dc9814436","target":"record","created_at":"2026-07-05T10:24:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ea1dccd91f1e06d651d1e2cb402692be00a83f5d14f18bdbf502cc8a31c4a521","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-03-16T22:27:52Z","title_canon_sha256":"57816762fef7cdb8727ca2e580bc65bfbd4d07ed82e77548193d5986ce451078"},"schema_version":"1.0","source":{"id":"2403.11030","kind":"arxiv","version":3}},"canonical_sha256":"d8a3bb788e551d6baff81c7015eb072befb2c4e4342dd826138e1b2433591bff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8a3bb788e551d6baff81c7015eb072befb2c4e4342dd826138e1b2433591bff","first_computed_at":"2026-07-05T10:24:53.343586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:24:53.343586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lu+P0XY0YKW+SJxBL6YKOqdMH+yeA8T+lLAfG8gN4wC9Qxae3boYFsapP5F4zwpB3HGNmmnDoVLPOVne9SveCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:24:53.344222Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.11030","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4516bf173cb3855f2d5f8d2e11cfe87f29bc92ebe14352c1060ba4dc9814436","sha256:2db501bab022c7c43caf4f291fb57e778147aa89ddac47f36f362c362d78b496"],"state_sha256":"62e11877f3118069aa8e0f639c7cdf0b9c61b13affc30f267390c537eff3a023"}