{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:R6FCK2MO5PE22VAE7UULUB3SAC","short_pith_number":"pith:R6FCK2MO","schema_version":"1.0","canonical_sha256":"8f8a25698eebc9ad5404fd28ba07720090277e04f847ba8fe763f3aefe571e44","source":{"kind":"arxiv","id":"1803.05316","version":3},"attestation_state":"computed","paper":{"title":"Seven Sketches in Compositionality: An Invitation to Applied Category Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Brendan Fong, David I Spivak","submitted_at":"2018-03-14T14:37:48Z","abstract_excerpt":"This book is an invitation to discover advanced topics in category theory through concrete, real-world examples. It aims to give a tour: a gentle, quick introduction to guide later exploration. The tour takes place over seven sketches, each pairing an evocative application, such as databases, electric circuits, or dynamical systems, with the exploration of a categorical structure, such as adjoint functors, enriched categories, or toposes.\n  No prior knowledge of category theory is assumed.\n  A feedback form for typos, comments, questions, and suggestions is available here: https://docs.google."},"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":"1803.05316","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2018-03-14T14:37:48Z","cross_cats_sorted":[],"title_canon_sha256":"d4d2daa2aaa39aefd9f8580d8639f2fcef99492ae6d20ef5be16a3e18cb5edb4","abstract_canon_sha256":"be78da091bb27b777849259a14415e568f21c6f9b14d0f724fedcb26753e486b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:29.372261Z","signature_b64":"AWAJufGtr8v3uOVx1B+PuseCMjtHQSBYg5AECdte2m6lnBSuLnSCfBmf5BPeJGNt/9sNy36gzPcEPI9YBSkcBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f8a25698eebc9ad5404fd28ba07720090277e04f847ba8fe763f3aefe571e44","last_reissued_at":"2026-05-18T00:03:29.371683Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:29.371683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Seven Sketches in Compositionality: An Invitation to Applied Category Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Brendan Fong, David I Spivak","submitted_at":"2018-03-14T14:37:48Z","abstract_excerpt":"This book is an invitation to discover advanced topics in category theory through concrete, real-world examples. It aims to give a tour: a gentle, quick introduction to guide later exploration. The tour takes place over seven sketches, each pairing an evocative application, such as databases, electric circuits, or dynamical systems, with the exploration of a categorical structure, such as adjoint functors, enriched categories, or toposes.\n  No prior knowledge of category theory is assumed.\n  A feedback form for typos, comments, questions, and suggestions is available here: https://docs.google."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05316","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":"1803.05316","created_at":"2026-05-18T00:03:29.371767+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.05316v3","created_at":"2026-05-18T00:03:29.371767+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05316","created_at":"2026-05-18T00:03:29.371767+00:00"},{"alias_kind":"pith_short_12","alias_value":"R6FCK2MO5PE2","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"R6FCK2MO5PE22VAE","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"R6FCK2MO","created_at":"2026-05-18T12:32:50.500415+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2211.16327","citing_title":"On the Power of Foundation Models","ref_index":27,"is_internal_anchor":true},{"citing_arxiv_id":"2507.19247","citing_title":"A Markov Categorical Framework for Language Modeling","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2605.08934","citing_title":"From Mechanistic to Compositional Interpretability","ref_index":146,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC","json":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC.json","graph_json":"https://pith.science/api/pith-number/R6FCK2MO5PE22VAE7UULUB3SAC/graph.json","events_json":"https://pith.science/api/pith-number/R6FCK2MO5PE22VAE7UULUB3SAC/events.json","paper":"https://pith.science/paper/R6FCK2MO"},"agent_actions":{"view_html":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC","download_json":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC.json","view_paper":"https://pith.science/paper/R6FCK2MO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.05316&json=true","fetch_graph":"https://pith.science/api/pith-number/R6FCK2MO5PE22VAE7UULUB3SAC/graph.json","fetch_events":"https://pith.science/api/pith-number/R6FCK2MO5PE22VAE7UULUB3SAC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC/action/storage_attestation","attest_author":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC/action/author_attestation","sign_citation":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC/action/citation_signature","submit_replication":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC/action/replication_record"}},"created_at":"2026-05-18T00:03:29.371767+00:00","updated_at":"2026-05-18T00:03:29.371767+00:00"}