{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UEPMHE3447GPSN57KOTPA3UCD3","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":"24efee41ecc4af8d2c7f97ed39b4e1eec58a2d1f058c378ac66c8eab3fab8819","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-03-30T14:38:02Z","title_canon_sha256":"8f60effd58151dd27e678c35321dd06a2a42eb54bbfa609403b0ada674eff883"},"schema_version":"1.0","source":{"id":"2603.28501","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.28501","created_at":"2026-06-19T16:12:53Z"},{"alias_kind":"arxiv_version","alias_value":"2603.28501v2","created_at":"2026-06-19T16:12:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.28501","created_at":"2026-06-19T16:12:53Z"},{"alias_kind":"pith_short_12","alias_value":"UEPMHE3447GP","created_at":"2026-06-19T16:12:53Z"},{"alias_kind":"pith_short_16","alias_value":"UEPMHE3447GPSN57","created_at":"2026-06-19T16:12:53Z"},{"alias_kind":"pith_short_8","alias_value":"UEPMHE34","created_at":"2026-06-19T16:12:53Z"}],"graph_snapshots":[{"event_id":"sha256:ab056c0d95e386f057377acf704167a92b1c423a5c43f481c310473c1c35d055","target":"graph","created_at":"2026-06-19T16:12:53Z","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/2603.28501/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop the theory of transfer and norm maps for finite group schemes, extending classical results from finite group theory to a context where induction and restriction are not necessarily bi-adjoint. In the additive setting, we construct a transfer map for both modules and $\\rm Ext $ groups and prove that its surjectivity characterizes relative projectivity, establishing a generalization of Higman's criterion. In the multiplicative setting, we define a relative norm map for algebras with a group scheme action. We compare this norm with other versions in the literature, proving that it coin","authors_text":"Kostas Karagiannis, Peter Symonds","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-03-30T14:38:02Z","title":"Transfer and Norm for Finite Group Schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.28501","kind":"arxiv","version":2},"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:d9cde8c831c3b4c6a9fa34765c24cacde890dcae3e99bcfaaf7fc16472c79263","target":"record","created_at":"2026-06-19T16:12:53Z","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":"24efee41ecc4af8d2c7f97ed39b4e1eec58a2d1f058c378ac66c8eab3fab8819","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-03-30T14:38:02Z","title_canon_sha256":"8f60effd58151dd27e678c35321dd06a2a42eb54bbfa609403b0ada674eff883"},"schema_version":"1.0","source":{"id":"2603.28501","kind":"arxiv","version":2}},"canonical_sha256":"a11ec3937ce7ccf937bf53a6f06e821ec4b14cc89279e83a18af393530098574","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a11ec3937ce7ccf937bf53a6f06e821ec4b14cc89279e83a18af393530098574","first_computed_at":"2026-06-19T16:12:53.633824Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:53.633824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EhUX/eRW6SiMxCb5w1mys+r71FETSL3hnBrINl+QCsAKFYR0gYL/z/GgRJRyiTWMErqaJUpRS1MUTala+I0wCg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:53.634341Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.28501","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9cde8c831c3b4c6a9fa34765c24cacde890dcae3e99bcfaaf7fc16472c79263","sha256:ab056c0d95e386f057377acf704167a92b1c423a5c43f481c310473c1c35d055"],"state_sha256":"c6a0d59972bbbe5ad201a7cf600e92547e117499b7a36dbb5c819e13edb8493f"}