{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:F3GX67OBR5OQO773YUCCTMIGGN","short_pith_number":"pith:F3GX67OB","schema_version":"1.0","canonical_sha256":"2ecd7f7dc18f5d077ffbc50429b106337af33468ae646a98e44c873868d0584e","source":{"kind":"arxiv","id":"1706.06915","version":2},"attestation_state":"computed","paper":{"title":"A Monoidal Model for Multilinearization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Sarah Yeakel","submitted_at":"2017-06-21T14:07:38Z","abstract_excerpt":"Using the category of finite sets and injections, we construct a new model for the multilinearization of multifunctors between spaces that appears in the derivatives of Goodwillie calculus. We show that this model yields a lax monoidal functor from the category of symmetric functor sequences to the category of symmetric sequences of spaces after evaluating at the unit."},"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":"1706.06915","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-06-21T14:07:38Z","cross_cats_sorted":[],"title_canon_sha256":"c52ebac4779aebf5250def0f9ca49e268d47cd9c9b16f0106652a8a93f9187b5","abstract_canon_sha256":"105016fda398c423c273e3fc39657764c6e8451271cfb2ca0856a6d48a5deb5d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:25.026137Z","signature_b64":"tcHCKJg4OqpHVYYKFy2wmKuF+Bs4W0hmnvVFifjfmCDjYNWEp5Arx20NpKMhpckgFjYCYg6f5H6Ulh7SfzOpAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ecd7f7dc18f5d077ffbc50429b106337af33468ae646a98e44c873868d0584e","last_reissued_at":"2026-05-18T00:03:25.025676Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:25.025676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Monoidal Model for Multilinearization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Sarah Yeakel","submitted_at":"2017-06-21T14:07:38Z","abstract_excerpt":"Using the category of finite sets and injections, we construct a new model for the multilinearization of multifunctors between spaces that appears in the derivatives of Goodwillie calculus. We show that this model yields a lax monoidal functor from the category of symmetric functor sequences to the category of symmetric sequences of spaces after evaluating at the unit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06915","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":"1706.06915","created_at":"2026-05-18T00:03:25.025736+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.06915v2","created_at":"2026-05-18T00:03:25.025736+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06915","created_at":"2026-05-18T00:03:25.025736+00:00"},{"alias_kind":"pith_short_12","alias_value":"F3GX67OBR5OQ","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"F3GX67OBR5OQO773","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"F3GX67OB","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/F3GX67OBR5OQO773YUCCTMIGGN","json":"https://pith.science/pith/F3GX67OBR5OQO773YUCCTMIGGN.json","graph_json":"https://pith.science/api/pith-number/F3GX67OBR5OQO773YUCCTMIGGN/graph.json","events_json":"https://pith.science/api/pith-number/F3GX67OBR5OQO773YUCCTMIGGN/events.json","paper":"https://pith.science/paper/F3GX67OB"},"agent_actions":{"view_html":"https://pith.science/pith/F3GX67OBR5OQO773YUCCTMIGGN","download_json":"https://pith.science/pith/F3GX67OBR5OQO773YUCCTMIGGN.json","view_paper":"https://pith.science/paper/F3GX67OB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.06915&json=true","fetch_graph":"https://pith.science/api/pith-number/F3GX67OBR5OQO773YUCCTMIGGN/graph.json","fetch_events":"https://pith.science/api/pith-number/F3GX67OBR5OQO773YUCCTMIGGN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F3GX67OBR5OQO773YUCCTMIGGN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F3GX67OBR5OQO773YUCCTMIGGN/action/storage_attestation","attest_author":"https://pith.science/pith/F3GX67OBR5OQO773YUCCTMIGGN/action/author_attestation","sign_citation":"https://pith.science/pith/F3GX67OBR5OQO773YUCCTMIGGN/action/citation_signature","submit_replication":"https://pith.science/pith/F3GX67OBR5OQO773YUCCTMIGGN/action/replication_record"}},"created_at":"2026-05-18T00:03:25.025736+00:00","updated_at":"2026-05-18T00:03:25.025736+00:00"}