{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:CBPLEVOTKUNFO74ZKN7RZASO76","short_pith_number":"pith:CBPLEVOT","schema_version":"1.0","canonical_sha256":"105eb255d3551a577f99537f1c824eff94afa7ccf0040f0d26203855d303fee4","source":{"kind":"arxiv","id":"1810.11300","version":2},"attestation_state":"computed","paper":{"title":"The formal theory of multimonoidal monads","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Gabriella B\\\"ohm","submitted_at":"2018-10-26T12:56:36Z","abstract_excerpt":"Certain aspects of Street's formal theory of monads in 2-categories are extended to multimonoidal monads in symmetric strict monoidal 2-categories. Namely, any symmetric strict monoidal 2-category $\\mathcal M$ admits a symmetric strict monoidal 2-category of pseudomonoids, monoidal 1-cells and monoidal 2-cells in $\\mathcal M$. Dually, there is a symmetric strict monoidal 2-category of pseudomonoids, opmonoidal 1-cells and opmonoidal 2-cells in $\\mathcal M$. Extending a construction due to Aguiar and Mahajan for $\\mathcal M=\\mathsf{Cat}$, we may apply the first construction $p$-times and the se"},"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":"1810.11300","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2018-10-26T12:56:36Z","cross_cats_sorted":[],"title_canon_sha256":"16914cead4c302b1cfb7e9235a7eb48b5ce9c6dc81f7ddd6e75b41afa3ba2335","abstract_canon_sha256":"c5a8e98b958038c15b56bfac4f085249df6dffbbc47ae970b312c1297d43df50"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:50.616332Z","signature_b64":"vG897djYJQL4V4/CY5F0EfnVODYmvtMoDbLXHP8qqWEzLW2sbw+PEtzQKrGgQIWF2iB4W3CpN+j0UbI8XSIZDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"105eb255d3551a577f99537f1c824eff94afa7ccf0040f0d26203855d303fee4","last_reissued_at":"2026-05-17T23:48:50.615718Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:50.615718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The formal theory of multimonoidal monads","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Gabriella B\\\"ohm","submitted_at":"2018-10-26T12:56:36Z","abstract_excerpt":"Certain aspects of Street's formal theory of monads in 2-categories are extended to multimonoidal monads in symmetric strict monoidal 2-categories. Namely, any symmetric strict monoidal 2-category $\\mathcal M$ admits a symmetric strict monoidal 2-category of pseudomonoids, monoidal 1-cells and monoidal 2-cells in $\\mathcal M$. Dually, there is a symmetric strict monoidal 2-category of pseudomonoids, opmonoidal 1-cells and opmonoidal 2-cells in $\\mathcal M$. Extending a construction due to Aguiar and Mahajan for $\\mathcal M=\\mathsf{Cat}$, we may apply the first construction $p$-times and the se"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11300","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":"1810.11300","created_at":"2026-05-17T23:48:50.615836+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.11300v2","created_at":"2026-05-17T23:48:50.615836+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.11300","created_at":"2026-05-17T23:48:50.615836+00:00"},{"alias_kind":"pith_short_12","alias_value":"CBPLEVOTKUNF","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"CBPLEVOTKUNFO74Z","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"CBPLEVOT","created_at":"2026-05-18T12:32:16.446611+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/CBPLEVOTKUNFO74ZKN7RZASO76","json":"https://pith.science/pith/CBPLEVOTKUNFO74ZKN7RZASO76.json","graph_json":"https://pith.science/api/pith-number/CBPLEVOTKUNFO74ZKN7RZASO76/graph.json","events_json":"https://pith.science/api/pith-number/CBPLEVOTKUNFO74ZKN7RZASO76/events.json","paper":"https://pith.science/paper/CBPLEVOT"},"agent_actions":{"view_html":"https://pith.science/pith/CBPLEVOTKUNFO74ZKN7RZASO76","download_json":"https://pith.science/pith/CBPLEVOTKUNFO74ZKN7RZASO76.json","view_paper":"https://pith.science/paper/CBPLEVOT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.11300&json=true","fetch_graph":"https://pith.science/api/pith-number/CBPLEVOTKUNFO74ZKN7RZASO76/graph.json","fetch_events":"https://pith.science/api/pith-number/CBPLEVOTKUNFO74ZKN7RZASO76/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CBPLEVOTKUNFO74ZKN7RZASO76/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CBPLEVOTKUNFO74ZKN7RZASO76/action/storage_attestation","attest_author":"https://pith.science/pith/CBPLEVOTKUNFO74ZKN7RZASO76/action/author_attestation","sign_citation":"https://pith.science/pith/CBPLEVOTKUNFO74ZKN7RZASO76/action/citation_signature","submit_replication":"https://pith.science/pith/CBPLEVOTKUNFO74ZKN7RZASO76/action/replication_record"}},"created_at":"2026-05-17T23:48:50.615836+00:00","updated_at":"2026-05-17T23:48:50.615836+00:00"}