{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FOUMITN5EAEZY3E73SRPIMIQB5","short_pith_number":"pith:FOUMITN5","schema_version":"1.0","canonical_sha256":"2ba8c44dbd20099c6c9fdca2f431100f5341fc2e2be78d7a2403b2199a5ef03d","source":{"kind":"arxiv","id":"1708.09003","version":1},"attestation_state":"computed","paper":{"title":"An algebraic model for rational naive-commutative equivariant ring spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"David Barnes, J.P.C.Greenlees, Magdalena Kedziorek","submitted_at":"2017-08-29T20:09:39Z","abstract_excerpt":"Equipping a non-equivariant topological E_\\infty operad with the trivial G-action gives an operad in G-spaces. The algebra structure encoded by this operad in G-spectra is characterised homotopically by having no non-trivial multiplicative norms. Algebras over this operad are called naive-commutative ring G-spectra. In this paper we let G be a finite group and we show that commutative algebras in the algebraic model for rational G-spectra model the rational naive-commutative ring G-spectra."},"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":"1708.09003","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-08-29T20:09:39Z","cross_cats_sorted":[],"title_canon_sha256":"db6789e1f8bc46863092e0887e6c34ba59d193cff913b513ceeb37b02335038d","abstract_canon_sha256":"d5fbb720d736172aff23ac31be026bee6c99c4d7ea5e05d5e536c81ba8ed61db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:21.414084Z","signature_b64":"sVYD4SWe/d7x6ifnGLnAvVCGOw3fcDXwyoQxiLYkPjIr2QfiKhLdJealwAY0YVrHCAtaHJ2GXOohvbziuEvICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ba8c44dbd20099c6c9fdca2f431100f5341fc2e2be78d7a2403b2199a5ef03d","last_reissued_at":"2026-05-18T00:36:21.413403Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:21.413403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An algebraic model for rational naive-commutative equivariant ring spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"David Barnes, J.P.C.Greenlees, Magdalena Kedziorek","submitted_at":"2017-08-29T20:09:39Z","abstract_excerpt":"Equipping a non-equivariant topological E_\\infty operad with the trivial G-action gives an operad in G-spaces. The algebra structure encoded by this operad in G-spectra is characterised homotopically by having no non-trivial multiplicative norms. Algebras over this operad are called naive-commutative ring G-spectra. In this paper we let G be a finite group and we show that commutative algebras in the algebraic model for rational G-spectra model the rational naive-commutative ring G-spectra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09003","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":"1708.09003","created_at":"2026-05-18T00:36:21.413497+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.09003v1","created_at":"2026-05-18T00:36:21.413497+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09003","created_at":"2026-05-18T00:36:21.413497+00:00"},{"alias_kind":"pith_short_12","alias_value":"FOUMITN5EAEZ","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FOUMITN5EAEZY3E7","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FOUMITN5","created_at":"2026-05-18T12:31:15.632608+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/FOUMITN5EAEZY3E73SRPIMIQB5","json":"https://pith.science/pith/FOUMITN5EAEZY3E73SRPIMIQB5.json","graph_json":"https://pith.science/api/pith-number/FOUMITN5EAEZY3E73SRPIMIQB5/graph.json","events_json":"https://pith.science/api/pith-number/FOUMITN5EAEZY3E73SRPIMIQB5/events.json","paper":"https://pith.science/paper/FOUMITN5"},"agent_actions":{"view_html":"https://pith.science/pith/FOUMITN5EAEZY3E73SRPIMIQB5","download_json":"https://pith.science/pith/FOUMITN5EAEZY3E73SRPIMIQB5.json","view_paper":"https://pith.science/paper/FOUMITN5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.09003&json=true","fetch_graph":"https://pith.science/api/pith-number/FOUMITN5EAEZY3E73SRPIMIQB5/graph.json","fetch_events":"https://pith.science/api/pith-number/FOUMITN5EAEZY3E73SRPIMIQB5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FOUMITN5EAEZY3E73SRPIMIQB5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FOUMITN5EAEZY3E73SRPIMIQB5/action/storage_attestation","attest_author":"https://pith.science/pith/FOUMITN5EAEZY3E73SRPIMIQB5/action/author_attestation","sign_citation":"https://pith.science/pith/FOUMITN5EAEZY3E73SRPIMIQB5/action/citation_signature","submit_replication":"https://pith.science/pith/FOUMITN5EAEZY3E73SRPIMIQB5/action/replication_record"}},"created_at":"2026-05-18T00:36:21.413497+00:00","updated_at":"2026-05-18T00:36:21.413497+00:00"}