{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:YCNZQ5AUTG2WFNKBEML46VQCW5","short_pith_number":"pith:YCNZQ5AU","schema_version":"1.0","canonical_sha256":"c09b98741499b562b5412317cf5602b77adfb860b57f2e5b83cb84886980127c","source":{"kind":"arxiv","id":"1506.01475","version":3},"attestation_state":"computed","paper":{"title":"Presentably symmetric monoidal infinity-categories are represented by symmetric monoidal model categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Steffen Sagave, Thomas Nikolaus","submitted_at":"2015-06-04T06:52:33Z","abstract_excerpt":"We prove the theorem stated in the title. More precisely, we show the stronger statement that every symmetric monoidal left adjoint functor between presentably symmetric monoidal infinity-categories is represented by a strong symmetric monoidal left Quillen functor between simplicial, combinatorial and left proper symmetric monoidal model categories."},"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":"1506.01475","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-06-04T06:52:33Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"dd239c9c18fae0f696c2e5afba035074b119840a3e331f75a8d0de62b040203f","abstract_canon_sha256":"13488457c354534c9f7576c9882c9779e4346e3cefea2647af95d75cf24b01e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:00.332350Z","signature_b64":"xQD1vhmmEZGpb3fIcOMowmqe5dc22yNFMTd21nbKEGOYiSKyR8pGhst23lwoDmgETYNaBLUo1RttMUDQFV6VDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c09b98741499b562b5412317cf5602b77adfb860b57f2e5b83cb84886980127c","last_reissued_at":"2026-05-18T00:34:00.331662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:00.331662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Presentably symmetric monoidal infinity-categories are represented by symmetric monoidal model categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Steffen Sagave, Thomas Nikolaus","submitted_at":"2015-06-04T06:52:33Z","abstract_excerpt":"We prove the theorem stated in the title. More precisely, we show the stronger statement that every symmetric monoidal left adjoint functor between presentably symmetric monoidal infinity-categories is represented by a strong symmetric monoidal left Quillen functor between simplicial, combinatorial and left proper symmetric monoidal model categories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01475","kind":"arxiv","version":3},"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":"1506.01475","created_at":"2026-05-18T00:34:00.331759+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.01475v3","created_at":"2026-05-18T00:34:00.331759+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01475","created_at":"2026-05-18T00:34:00.331759+00:00"},{"alias_kind":"pith_short_12","alias_value":"YCNZQ5AUTG2W","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_16","alias_value":"YCNZQ5AUTG2WFNKB","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_8","alias_value":"YCNZQ5AU","created_at":"2026-05-18T12:29:50.041715+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/YCNZQ5AUTG2WFNKBEML46VQCW5","json":"https://pith.science/pith/YCNZQ5AUTG2WFNKBEML46VQCW5.json","graph_json":"https://pith.science/api/pith-number/YCNZQ5AUTG2WFNKBEML46VQCW5/graph.json","events_json":"https://pith.science/api/pith-number/YCNZQ5AUTG2WFNKBEML46VQCW5/events.json","paper":"https://pith.science/paper/YCNZQ5AU"},"agent_actions":{"view_html":"https://pith.science/pith/YCNZQ5AUTG2WFNKBEML46VQCW5","download_json":"https://pith.science/pith/YCNZQ5AUTG2WFNKBEML46VQCW5.json","view_paper":"https://pith.science/paper/YCNZQ5AU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.01475&json=true","fetch_graph":"https://pith.science/api/pith-number/YCNZQ5AUTG2WFNKBEML46VQCW5/graph.json","fetch_events":"https://pith.science/api/pith-number/YCNZQ5AUTG2WFNKBEML46VQCW5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YCNZQ5AUTG2WFNKBEML46VQCW5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YCNZQ5AUTG2WFNKBEML46VQCW5/action/storage_attestation","attest_author":"https://pith.science/pith/YCNZQ5AUTG2WFNKBEML46VQCW5/action/author_attestation","sign_citation":"https://pith.science/pith/YCNZQ5AUTG2WFNKBEML46VQCW5/action/citation_signature","submit_replication":"https://pith.science/pith/YCNZQ5AUTG2WFNKBEML46VQCW5/action/replication_record"}},"created_at":"2026-05-18T00:34:00.331759+00:00","updated_at":"2026-05-18T00:34:00.331759+00:00"}