{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CGE573FVNX4BSUCXVWNUU332HQ","short_pith_number":"pith:CGE573FV","schema_version":"1.0","canonical_sha256":"1189dfecb56df8195057ad9b4a6f7a3c3b9a55d9c137f6ee1971e7f1947e4a6d","source":{"kind":"arxiv","id":"1701.01314","version":1},"attestation_state":"computed","paper":{"title":"Classification of plethories in characteristic zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Magnus Carlson","submitted_at":"2017-01-05T13:51:43Z","abstract_excerpt":"We classify plethories over fields of characteristic zero, thus answering a question of Borger-Wieland and Bergman-Hausknecht. All plethories over characteristic zero fields are linear, in the sense that they are free plethories on a bialgebra. For the proof we need some facts from the theory of ring schemes where we extend previously known results. We also classify plethories with trivial Verschiebung over a perfect field of non-zero characteristic and indicate future work."},"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":"1701.01314","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-01-05T13:51:43Z","cross_cats_sorted":[],"title_canon_sha256":"6df89d1a5752dc712c715b66ca56a10f9c244b0964788c26f24fccafd7c24255","abstract_canon_sha256":"c5fd6a66c1f681b6f65606b02adeae4fc353af2f14eef9dde36a87d76cc5be65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:19.948511Z","signature_b64":"uugLbR6qDA4zwDsVTVfEXXfdR3qP1N3cxTvkEzQRp+IkolGnZdAanXq4WnrDPoRlu303aLyrLXBb8TC7Cy+OCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1189dfecb56df8195057ad9b4a6f7a3c3b9a55d9c137f6ee1971e7f1947e4a6d","last_reissued_at":"2026-05-18T00:53:19.948037Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:19.948037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of plethories in characteristic zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Magnus Carlson","submitted_at":"2017-01-05T13:51:43Z","abstract_excerpt":"We classify plethories over fields of characteristic zero, thus answering a question of Borger-Wieland and Bergman-Hausknecht. All plethories over characteristic zero fields are linear, in the sense that they are free plethories on a bialgebra. For the proof we need some facts from the theory of ring schemes where we extend previously known results. We also classify plethories with trivial Verschiebung over a perfect field of non-zero characteristic and indicate future work."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01314","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":"1701.01314","created_at":"2026-05-18T00:53:19.948120+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.01314v1","created_at":"2026-05-18T00:53:19.948120+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01314","created_at":"2026-05-18T00:53:19.948120+00:00"},{"alias_kind":"pith_short_12","alias_value":"CGE573FVNX4B","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CGE573FVNX4BSUCX","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CGE573FV","created_at":"2026-05-18T12:31:10.602751+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/CGE573FVNX4BSUCXVWNUU332HQ","json":"https://pith.science/pith/CGE573FVNX4BSUCXVWNUU332HQ.json","graph_json":"https://pith.science/api/pith-number/CGE573FVNX4BSUCXVWNUU332HQ/graph.json","events_json":"https://pith.science/api/pith-number/CGE573FVNX4BSUCXVWNUU332HQ/events.json","paper":"https://pith.science/paper/CGE573FV"},"agent_actions":{"view_html":"https://pith.science/pith/CGE573FVNX4BSUCXVWNUU332HQ","download_json":"https://pith.science/pith/CGE573FVNX4BSUCXVWNUU332HQ.json","view_paper":"https://pith.science/paper/CGE573FV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.01314&json=true","fetch_graph":"https://pith.science/api/pith-number/CGE573FVNX4BSUCXVWNUU332HQ/graph.json","fetch_events":"https://pith.science/api/pith-number/CGE573FVNX4BSUCXVWNUU332HQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CGE573FVNX4BSUCXVWNUU332HQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CGE573FVNX4BSUCXVWNUU332HQ/action/storage_attestation","attest_author":"https://pith.science/pith/CGE573FVNX4BSUCXVWNUU332HQ/action/author_attestation","sign_citation":"https://pith.science/pith/CGE573FVNX4BSUCXVWNUU332HQ/action/citation_signature","submit_replication":"https://pith.science/pith/CGE573FVNX4BSUCXVWNUU332HQ/action/replication_record"}},"created_at":"2026-05-18T00:53:19.948120+00:00","updated_at":"2026-05-18T00:53:19.948120+00:00"}