{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Y56DULCGG2PK2MWXWLKYWZWE74","short_pith_number":"pith:Y56DULCG","canonical_record":{"source":{"id":"1102.1889","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.LO","submitted_at":"2011-02-09T15:49:49Z","cross_cats_sorted":["cs.AI","math.CT"],"title_canon_sha256":"de5a042cc7cd01cc81829e429edd4eb078446ea9751a88c134934ad680c8d9c2","abstract_canon_sha256":"491e8bd55666b916a4d66d0ffd918bb2111bfc525e43915a395f66f002aa979a"},"schema_version":"1.0"},"canonical_sha256":"c77c3a2c46369ead32d7b2d58b66c4ff296f78bd8e390205a867a9c8b0f874d5","source":{"kind":"arxiv","id":"1102.1889","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1889","created_at":"2026-05-18T02:03:14Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1889v2","created_at":"2026-05-18T02:03:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1889","created_at":"2026-05-18T02:03:14Z"},{"alias_kind":"pith_short_12","alias_value":"Y56DULCGG2PK","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y56DULCGG2PK2MWX","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y56DULCG","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Y56DULCGG2PK2MWXWLKYWZWE74","target":"record","payload":{"canonical_record":{"source":{"id":"1102.1889","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.LO","submitted_at":"2011-02-09T15:49:49Z","cross_cats_sorted":["cs.AI","math.CT"],"title_canon_sha256":"de5a042cc7cd01cc81829e429edd4eb078446ea9751a88c134934ad680c8d9c2","abstract_canon_sha256":"491e8bd55666b916a4d66d0ffd918bb2111bfc525e43915a395f66f002aa979a"},"schema_version":"1.0"},"canonical_sha256":"c77c3a2c46369ead32d7b2d58b66c4ff296f78bd8e390205a867a9c8b0f874d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:14.860376Z","signature_b64":"r0LBKNHDtVzEMlPAaTpTbjgml3FrIY8ipQO7NulBEbektDbZrN5a2bYMRiO2SSa3nzhaPY7Z7Lay+8QbievVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c77c3a2c46369ead32d7b2d58b66c4ff296f78bd8e390205a867a9c8b0f874d5","last_reissued_at":"2026-05-18T02:03:14.859690Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:14.859690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.1889","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:03:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sXM9vCbvznEBvrd1Uvzn6Jl2HAxcc7FnA0eDV3CW10sQrj2ZNJg3Tm78jCNv6bxNlU/Cr0hTn69Gh27WdVPLDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T17:49:42.552232Z"},"content_sha256":"f1160343e95fd51465560ef2f8b8eebe2f6131f7e7e0e3c9da3f52ec48c2f081","schema_version":"1.0","event_id":"sha256:f1160343e95fd51465560ef2f8b8eebe2f6131f7e7e0e3c9da3f52ec48c2f081"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Y56DULCGG2PK2MWXWLKYWZWE74","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ologs: a categorical framework for knowledge representation","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["cs.AI","math.CT"],"primary_cat":"cs.LO","authors_text":"David I. Spivak, Robert E. Kent","submitted_at":"2011-02-09T15:49:49Z","abstract_excerpt":"In this paper we introduce the olog, or ontology log, a category-theoretic model for knowledge representation (KR). Grounded in formal mathematics, ologs can be rigorously formulated and cross-compared in ways that other KR models (such as semantic networks) cannot. An olog is similar to a relational database schema; in fact an olog can serve as a data repository if desired. Unlike database schemas, which are generally difficult to create or modify, ologs are designed to be user-friendly enough that authoring or reconfiguring an olog is a matter of course rather than a difficult chore. It is h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1889","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:03:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ACGoWjwnsTtqdCy58UkkKAbvHhkV+zoPxTGVtnalDS97AFOms7bf6NrcXRR1eCjyjEEoNi+T/Eq1T7+lE0HCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T17:49:42.552656Z"},"content_sha256":"899b8f6b6117c883141114b731304ae5a5f02e9ab77c5f523305bd141ccb5ed4","schema_version":"1.0","event_id":"sha256:899b8f6b6117c883141114b731304ae5a5f02e9ab77c5f523305bd141ccb5ed4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y56DULCGG2PK2MWXWLKYWZWE74/bundle.json","state_url":"https://pith.science/pith/Y56DULCGG2PK2MWXWLKYWZWE74/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y56DULCGG2PK2MWXWLKYWZWE74/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":"2026-05-21T17:49:42Z","links":{"resolver":"https://pith.science/pith/Y56DULCGG2PK2MWXWLKYWZWE74","bundle":"https://pith.science/pith/Y56DULCGG2PK2MWXWLKYWZWE74/bundle.json","state":"https://pith.science/pith/Y56DULCGG2PK2MWXWLKYWZWE74/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y56DULCGG2PK2MWXWLKYWZWE74/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Y56DULCGG2PK2MWXWLKYWZWE74","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":"491e8bd55666b916a4d66d0ffd918bb2111bfc525e43915a395f66f002aa979a","cross_cats_sorted":["cs.AI","math.CT"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.LO","submitted_at":"2011-02-09T15:49:49Z","title_canon_sha256":"de5a042cc7cd01cc81829e429edd4eb078446ea9751a88c134934ad680c8d9c2"},"schema_version":"1.0","source":{"id":"1102.1889","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1889","created_at":"2026-05-18T02:03:14Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1889v2","created_at":"2026-05-18T02:03:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1889","created_at":"2026-05-18T02:03:14Z"},{"alias_kind":"pith_short_12","alias_value":"Y56DULCGG2PK","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y56DULCGG2PK2MWX","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y56DULCG","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:899b8f6b6117c883141114b731304ae5a5f02e9ab77c5f523305bd141ccb5ed4","target":"graph","created_at":"2026-05-18T02:03:14Z","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":"In this paper we introduce the olog, or ontology log, a category-theoretic model for knowledge representation (KR). Grounded in formal mathematics, ologs can be rigorously formulated and cross-compared in ways that other KR models (such as semantic networks) cannot. An olog is similar to a relational database schema; in fact an olog can serve as a data repository if desired. Unlike database schemas, which are generally difficult to create or modify, ologs are designed to be user-friendly enough that authoring or reconfiguring an olog is a matter of course rather than a difficult chore. It is h","authors_text":"David I. Spivak, Robert E. Kent","cross_cats":["cs.AI","math.CT"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.LO","submitted_at":"2011-02-09T15:49:49Z","title":"Ologs: a categorical framework for knowledge representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1889","kind":"arxiv","version":2},"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:f1160343e95fd51465560ef2f8b8eebe2f6131f7e7e0e3c9da3f52ec48c2f081","target":"record","created_at":"2026-05-18T02:03:14Z","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":"491e8bd55666b916a4d66d0ffd918bb2111bfc525e43915a395f66f002aa979a","cross_cats_sorted":["cs.AI","math.CT"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.LO","submitted_at":"2011-02-09T15:49:49Z","title_canon_sha256":"de5a042cc7cd01cc81829e429edd4eb078446ea9751a88c134934ad680c8d9c2"},"schema_version":"1.0","source":{"id":"1102.1889","kind":"arxiv","version":2}},"canonical_sha256":"c77c3a2c46369ead32d7b2d58b66c4ff296f78bd8e390205a867a9c8b0f874d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c77c3a2c46369ead32d7b2d58b66c4ff296f78bd8e390205a867a9c8b0f874d5","first_computed_at":"2026-05-18T02:03:14.859690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:14.859690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r0LBKNHDtVzEMlPAaTpTbjgml3FrIY8ipQO7NulBEbektDbZrN5a2bYMRiO2SSa3nzhaPY7Z7Lay+8QbievVBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:14.860376Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1889","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1160343e95fd51465560ef2f8b8eebe2f6131f7e7e0e3c9da3f52ec48c2f081","sha256:899b8f6b6117c883141114b731304ae5a5f02e9ab77c5f523305bd141ccb5ed4"],"state_sha256":"09a797f42f0d1059759fd0ffb341e2bf50e8212bb268b9437a08fd3bf99d6273"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ocVigXgEPlUpDI/THFa5jfOCUlHu+x6KlbftO873CmgWMs0IVe2ZN/Rcpw+HQca76Jkqm7gs2OsPa/My6R3NCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T17:49:42.554852Z","bundle_sha256":"4b70f709a38c17972a34e8133344db69ce6ab497a5a38d49c0a91d3eb9d13f74"}}