{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:R6FCK2MO5PE22VAE7UULUB3SAC","short_pith_number":"pith:R6FCK2MO","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"},"canonical_sha256":"8f8a25698eebc9ad5404fd28ba07720090277e04f847ba8fe763f3aefe571e44","source":{"kind":"arxiv","id":"1803.05316","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.05316","created_at":"2026-05-18T00:03:29Z"},{"alias_kind":"arxiv_version","alias_value":"1803.05316v3","created_at":"2026-05-18T00:03:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05316","created_at":"2026-05-18T00:03:29Z"},{"alias_kind":"pith_short_12","alias_value":"R6FCK2MO5PE2","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"R6FCK2MO5PE22VAE","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"R6FCK2MO","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:R6FCK2MO5PE22VAE7UULUB3SAC","target":"record","payload":{"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"},"canonical_sha256":"8f8a25698eebc9ad5404fd28ba07720090277e04f847ba8fe763f3aefe571e44","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"},"source_kind":"arxiv","source_id":"1803.05316","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:03:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kGqXzr1QngywAw08zaOxSa1OCU0ucQTCw5rFOxs9hfdu9sJUb9UsRYhDA1hpwyhIAk7lpWvEYKqrpa0TPC/eAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:53:40.409645Z"},"content_sha256":"b11a38a5d4d6d65496d73ae1cfef5612350d3fe92c29bd018b34c15543bbf77d","schema_version":"1.0","event_id":"sha256:b11a38a5d4d6d65496d73ae1cfef5612350d3fe92c29bd018b34c15543bbf77d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:R6FCK2MO5PE22VAE7UULUB3SAC","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:03:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JEBZ0AQbgrkVudDIfWQffn1AmSVlM25GPOtuYwi4oSVUa9/TTVts8sZ15/9DKo4VeBZrwOmsZT870bxukOSkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:53:40.409995Z"},"content_sha256":"7a826a3c98ae1d19335a8672f8cc458dd89aa72c47b695776cfc499bd8122484","schema_version":"1.0","event_id":"sha256:7a826a3c98ae1d19335a8672f8cc458dd89aa72c47b695776cfc499bd8122484"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC/bundle.json","state_url":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R6FCK2MO5PE22VAE7UULUB3SAC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T02:53:40Z","links":{"resolver":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC","bundle":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC/bundle.json","state":"https://pith.science/pith/R6FCK2MO5PE22VAE7UULUB3SAC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R6FCK2MO5PE22VAE7UULUB3SAC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:R6FCK2MO5PE22VAE7UULUB3SAC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"be78da091bb27b777849259a14415e568f21c6f9b14d0f724fedcb26753e486b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2018-03-14T14:37:48Z","title_canon_sha256":"d4d2daa2aaa39aefd9f8580d8639f2fcef99492ae6d20ef5be16a3e18cb5edb4"},"schema_version":"1.0","source":{"id":"1803.05316","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.05316","created_at":"2026-05-18T00:03:29Z"},{"alias_kind":"arxiv_version","alias_value":"1803.05316v3","created_at":"2026-05-18T00:03:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05316","created_at":"2026-05-18T00:03:29Z"},{"alias_kind":"pith_short_12","alias_value":"R6FCK2MO5PE2","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"R6FCK2MO5PE22VAE","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"R6FCK2MO","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:7a826a3c98ae1d19335a8672f8cc458dd89aa72c47b695776cfc499bd8122484","target":"graph","created_at":"2026-05-18T00:03:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Brendan Fong, David I Spivak","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2018-03-14T14:37:48Z","title":"Seven Sketches in Compositionality: An Invitation to Applied Category Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05316","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b11a38a5d4d6d65496d73ae1cfef5612350d3fe92c29bd018b34c15543bbf77d","target":"record","created_at":"2026-05-18T00:03:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"be78da091bb27b777849259a14415e568f21c6f9b14d0f724fedcb26753e486b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CT","submitted_at":"2018-03-14T14:37:48Z","title_canon_sha256":"d4d2daa2aaa39aefd9f8580d8639f2fcef99492ae6d20ef5be16a3e18cb5edb4"},"schema_version":"1.0","source":{"id":"1803.05316","kind":"arxiv","version":3}},"canonical_sha256":"8f8a25698eebc9ad5404fd28ba07720090277e04f847ba8fe763f3aefe571e44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f8a25698eebc9ad5404fd28ba07720090277e04f847ba8fe763f3aefe571e44","first_computed_at":"2026-05-18T00:03:29.371683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:29.371683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AWAJufGtr8v3uOVx1B+PuseCMjtHQSBYg5AECdte2m6lnBSuLnSCfBmf5BPeJGNt/9sNy36gzPcEPI9YBSkcBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:29.372261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.05316","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b11a38a5d4d6d65496d73ae1cfef5612350d3fe92c29bd018b34c15543bbf77d","sha256:7a826a3c98ae1d19335a8672f8cc458dd89aa72c47b695776cfc499bd8122484"],"state_sha256":"137f2908b8009636d07ff496d5a34469e5c7b341496beb026ce5444e36b7aeba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1tGAzeLwGBLj/72axXbCJr/QyTagMtoZVcd6xwIHJ0IE8DoJyXpin6rvI5VdmXoCbxQVrL5sovSmUICrDagTAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T02:53:40.412722Z","bundle_sha256":"32c007513dc012b833fac1c6d1619268aa2f3f75b7141e1b2c118b65f14bcba3"}}