{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:A3QFNEEXGV4HTADTRAKHU2RBX7","short_pith_number":"pith:A3QFNEEX","schema_version":"1.0","canonical_sha256":"06e0569097357879807388147a6a21bfea987619fba812db78a6d0e723711262","source":{"kind":"arxiv","id":"1411.7238","version":2},"attestation_state":"computed","paper":{"title":"An algebraic model for commutative HZ-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Birgit Richter, Brooke Shipley","submitted_at":"2014-11-26T14:18:54Z","abstract_excerpt":"We show that the homotopy category of commutative algebra spectra over the Eilenberg-Mac Lane spectrum of the integers is equivalent to the homotopy category of E-infinity-monoids in unbounded chain complexes. We do this by establishing a chain of Quillen equivalences between the corresponding model categories. We also provide a Quillen equivalence to commutative monoids in the category of functors from the category of finite sets and injections to unbounded chain complexes."},"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":"1411.7238","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-26T14:18:54Z","cross_cats_sorted":[],"title_canon_sha256":"779ae66c7436a6aa07019559488b40bb11207a9ef49ca2564112c3e432933cee","abstract_canon_sha256":"2eb1e4df70a6d7af23a0d3d67c866c983eef53ae4cd2893caf051ecef38e674c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:00.714979Z","signature_b64":"Eqs2z5Lx58bjv7BBLmTnwWjtTS0P4n9fSUQeZ4k7fLSyagueKlSlj70I4dCdT42mZH+G4e00MJlH3hqCxuj+AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06e0569097357879807388147a6a21bfea987619fba812db78a6d0e723711262","last_reissued_at":"2026-05-18T00:21:00.714468Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:00.714468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An algebraic model for commutative HZ-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Birgit Richter, Brooke Shipley","submitted_at":"2014-11-26T14:18:54Z","abstract_excerpt":"We show that the homotopy category of commutative algebra spectra over the Eilenberg-Mac Lane spectrum of the integers is equivalent to the homotopy category of E-infinity-monoids in unbounded chain complexes. We do this by establishing a chain of Quillen equivalences between the corresponding model categories. We also provide a Quillen equivalence to commutative monoids in the category of functors from the category of finite sets and injections to unbounded chain complexes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7238","kind":"arxiv","version":2},"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":"1411.7238","created_at":"2026-05-18T00:21:00.714547+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.7238v2","created_at":"2026-05-18T00:21:00.714547+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7238","created_at":"2026-05-18T00:21:00.714547+00:00"},{"alias_kind":"pith_short_12","alias_value":"A3QFNEEXGV4H","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"A3QFNEEXGV4HTADT","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"A3QFNEEX","created_at":"2026-05-18T12:28:19.803747+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/A3QFNEEXGV4HTADTRAKHU2RBX7","json":"https://pith.science/pith/A3QFNEEXGV4HTADTRAKHU2RBX7.json","graph_json":"https://pith.science/api/pith-number/A3QFNEEXGV4HTADTRAKHU2RBX7/graph.json","events_json":"https://pith.science/api/pith-number/A3QFNEEXGV4HTADTRAKHU2RBX7/events.json","paper":"https://pith.science/paper/A3QFNEEX"},"agent_actions":{"view_html":"https://pith.science/pith/A3QFNEEXGV4HTADTRAKHU2RBX7","download_json":"https://pith.science/pith/A3QFNEEXGV4HTADTRAKHU2RBX7.json","view_paper":"https://pith.science/paper/A3QFNEEX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.7238&json=true","fetch_graph":"https://pith.science/api/pith-number/A3QFNEEXGV4HTADTRAKHU2RBX7/graph.json","fetch_events":"https://pith.science/api/pith-number/A3QFNEEXGV4HTADTRAKHU2RBX7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A3QFNEEXGV4HTADTRAKHU2RBX7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A3QFNEEXGV4HTADTRAKHU2RBX7/action/storage_attestation","attest_author":"https://pith.science/pith/A3QFNEEXGV4HTADTRAKHU2RBX7/action/author_attestation","sign_citation":"https://pith.science/pith/A3QFNEEXGV4HTADTRAKHU2RBX7/action/citation_signature","submit_replication":"https://pith.science/pith/A3QFNEEXGV4HTADTRAKHU2RBX7/action/replication_record"}},"created_at":"2026-05-18T00:21:00.714547+00:00","updated_at":"2026-05-18T00:21:00.714547+00:00"}