{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7XDGSP2Z6MMWRHL6NQOSHP76OH","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":"55ff9871e8cca68fd24cff9d463698bcf16cee69b53b9ad266c34f3fe08ab9fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-04-28T07:40:15Z","title_canon_sha256":"b6caa42a6c97e22a83d9bd891d28e737317fb663560178f5c228cb850ede2b1c"},"schema_version":"1.0","source":{"id":"1404.6886","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6886","created_at":"2026-05-18T01:12:20Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6886v3","created_at":"2026-05-18T01:12:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6886","created_at":"2026-05-18T01:12:20Z"},{"alias_kind":"pith_short_12","alias_value":"7XDGSP2Z6MMW","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7XDGSP2Z6MMWRHL6","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7XDGSP2Z","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:a1579c5f2fa3be7793ddac83151319a61537a83b0b9085931e47ec226669a08a","target":"graph","created_at":"2026-05-18T01:12:20Z","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"},"paper":{"abstract_excerpt":"The aim of this paper is to study sub-algebras of the $\\mathbb{Z}/2$-equivariant Steenrod algebra (for cohomology with coefficients in the constant Mackey functor $\\mathbb{F}_2$) which come from quotient Hopf algebroids of the $\\mathbb{Z}/2$-equivariant dual Steenrod algebra. In particular, we study the equivariant counterpart of profile functions, exhibit the equivariant analogues of the classical $\\mathcal{A}(n)$ and $\\mathcal{E}(n)$ and show that the Steenrod algebra is free as a module over these.","authors_text":"Nicolas Ricka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-04-28T07:40:15Z","title":"Subalgebras of the Z/2-equivariant Steenrod algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6886","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:a65f85e03a976cb3fc4673ed0ffd5e09539d75a983b13b61b86f5e10ab24450f","target":"record","created_at":"2026-05-18T01:12:20Z","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":"55ff9871e8cca68fd24cff9d463698bcf16cee69b53b9ad266c34f3fe08ab9fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-04-28T07:40:15Z","title_canon_sha256":"b6caa42a6c97e22a83d9bd891d28e737317fb663560178f5c228cb850ede2b1c"},"schema_version":"1.0","source":{"id":"1404.6886","kind":"arxiv","version":3}},"canonical_sha256":"fdc6693f59f319689d7e6c1d23bffe71f3734f993282b8d8d714bd1217e3b101","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdc6693f59f319689d7e6c1d23bffe71f3734f993282b8d8d714bd1217e3b101","first_computed_at":"2026-05-18T01:12:20.114488Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:20.114488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pdZh745KUuzDlzciEtQNpmNrSkSwdvw9yyj2yQ+FtYJsCdEe/zUOEjuSCh4h9cTC8OGW0/PeZuKCNAYE4oNkAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:20.114822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6886","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a65f85e03a976cb3fc4673ed0ffd5e09539d75a983b13b61b86f5e10ab24450f","sha256:a1579c5f2fa3be7793ddac83151319a61537a83b0b9085931e47ec226669a08a"],"state_sha256":"6b9cd7937323b1c32a4b0508e3134531a1fac969ee236e624672dcf164528e3c"}