{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:X7CBKZIAHDHZWAYZU2L2Y5F3AO","short_pith_number":"pith:X7CBKZIA","canonical_record":{"source":{"id":"1505.06430","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-05-24T11:41:50Z","cross_cats_sorted":[],"title_canon_sha256":"5c04f0473db3e6bb629e60b982193cc9640e34f2f9d099aed61625a52d7b58de","abstract_canon_sha256":"e1962001fe409e2ff6e1cb0eb1022ed7440533c4f1d0be10c95821f89f02db73"},"schema_version":"1.0"},"canonical_sha256":"bfc415650038cf9b0319a697ac74bb03b45dd07f5a9442601eae2e150a3bb9ab","source":{"kind":"arxiv","id":"1505.06430","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06430","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06430v1","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06430","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"pith_short_12","alias_value":"X7CBKZIAHDHZ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"X7CBKZIAHDHZWAYZ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"X7CBKZIA","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:X7CBKZIAHDHZWAYZU2L2Y5F3AO","target":"record","payload":{"canonical_record":{"source":{"id":"1505.06430","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-05-24T11:41:50Z","cross_cats_sorted":[],"title_canon_sha256":"5c04f0473db3e6bb629e60b982193cc9640e34f2f9d099aed61625a52d7b58de","abstract_canon_sha256":"e1962001fe409e2ff6e1cb0eb1022ed7440533c4f1d0be10c95821f89f02db73"},"schema_version":"1.0"},"canonical_sha256":"bfc415650038cf9b0319a697ac74bb03b45dd07f5a9442601eae2e150a3bb9ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:47.250503Z","signature_b64":"VIcqn3+SLK04GYry2kmF48gejNaWxuGDRUavF2mma4cpn49oud9xab0bzu6H4LEYBtwT+L8aj0DXLsib0JMoDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfc415650038cf9b0319a697ac74bb03b45dd07f5a9442601eae2e150a3bb9ab","last_reissued_at":"2026-05-18T02:03:47.249938Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:47.249938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.06430","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:03:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wcViqSd+rgFOisZsLPdwmOzcY3qJlrgoi0Qs3o3mtWJrVhzjajR60mES8n7JE4/XuourS6EPTW6cg3to+SquBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:07:30.584865Z"},"content_sha256":"0f93a0c9c9ff43d8987c8825eb649dad93c2e2197c22b3e2d9a4bb88403813a7","schema_version":"1.0","event_id":"sha256:0f93a0c9c9ff43d8987c8825eb649dad93c2e2197c22b3e2d9a4bb88403813a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:X7CBKZIAHDHZWAYZU2L2Y5F3AO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Category Theory in Coq 8.5","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Amin Timany, Bart Jacobs","submitted_at":"2015-05-24T11:41:50Z","abstract_excerpt":"We report on our experience implementing category theory in Coq 8.5. The repository of this development can be found at https://bitbucket.org/amintimany/categories/. This implementation most notably makes use of features, primitive projections for records and universe polymorphism that are new to Coq 8.5."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06430","kind":"arxiv","version":1},"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":"2026-05-18T02:03:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+2uQIY6Ukos0zYII6QNeSv6orRUoFiX35PkEIp+swq5lDtjC1Y5pJ6rjIQy0AYg+Heex7PJOV8xSWpmVWDouAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:07:30.585206Z"},"content_sha256":"040b2581c97e71a43c3387cd7655dab1966124fb6de640478767e8dd71159360","schema_version":"1.0","event_id":"sha256:040b2581c97e71a43c3387cd7655dab1966124fb6de640478767e8dd71159360"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X7CBKZIAHDHZWAYZU2L2Y5F3AO/bundle.json","state_url":"https://pith.science/pith/X7CBKZIAHDHZWAYZU2L2Y5F3AO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X7CBKZIAHDHZWAYZU2L2Y5F3AO/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":"2026-05-28T09:07:30Z","links":{"resolver":"https://pith.science/pith/X7CBKZIAHDHZWAYZU2L2Y5F3AO","bundle":"https://pith.science/pith/X7CBKZIAHDHZWAYZU2L2Y5F3AO/bundle.json","state":"https://pith.science/pith/X7CBKZIAHDHZWAYZU2L2Y5F3AO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X7CBKZIAHDHZWAYZU2L2Y5F3AO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:X7CBKZIAHDHZWAYZU2L2Y5F3AO","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":"e1962001fe409e2ff6e1cb0eb1022ed7440533c4f1d0be10c95821f89f02db73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-05-24T11:41:50Z","title_canon_sha256":"5c04f0473db3e6bb629e60b982193cc9640e34f2f9d099aed61625a52d7b58de"},"schema_version":"1.0","source":{"id":"1505.06430","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06430","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06430v1","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06430","created_at":"2026-05-18T02:03:47Z"},{"alias_kind":"pith_short_12","alias_value":"X7CBKZIAHDHZ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"X7CBKZIAHDHZWAYZ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"X7CBKZIA","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:040b2581c97e71a43c3387cd7655dab1966124fb6de640478767e8dd71159360","target":"graph","created_at":"2026-05-18T02:03:47Z","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":"We report on our experience implementing category theory in Coq 8.5. The repository of this development can be found at https://bitbucket.org/amintimany/categories/. This implementation most notably makes use of features, primitive projections for records and universe polymorphism that are new to Coq 8.5.","authors_text":"Amin Timany, Bart Jacobs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-05-24T11:41:50Z","title":"Category Theory in Coq 8.5"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06430","kind":"arxiv","version":1},"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":"sha256:0f93a0c9c9ff43d8987c8825eb649dad93c2e2197c22b3e2d9a4bb88403813a7","target":"record","created_at":"2026-05-18T02:03:47Z","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":"e1962001fe409e2ff6e1cb0eb1022ed7440533c4f1d0be10c95821f89f02db73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-05-24T11:41:50Z","title_canon_sha256":"5c04f0473db3e6bb629e60b982193cc9640e34f2f9d099aed61625a52d7b58de"},"schema_version":"1.0","source":{"id":"1505.06430","kind":"arxiv","version":1}},"canonical_sha256":"bfc415650038cf9b0319a697ac74bb03b45dd07f5a9442601eae2e150a3bb9ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfc415650038cf9b0319a697ac74bb03b45dd07f5a9442601eae2e150a3bb9ab","first_computed_at":"2026-05-18T02:03:47.249938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:47.249938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VIcqn3+SLK04GYry2kmF48gejNaWxuGDRUavF2mma4cpn49oud9xab0bzu6H4LEYBtwT+L8aj0DXLsib0JMoDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:47.250503Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.06430","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f93a0c9c9ff43d8987c8825eb649dad93c2e2197c22b3e2d9a4bb88403813a7","sha256:040b2581c97e71a43c3387cd7655dab1966124fb6de640478767e8dd71159360"],"state_sha256":"2753c6bfe58c22a9cec0ceb2d88829fc7fdce6ddac7805d81e0ea2e267046c0d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KRkDsNVXRNRG1YoA5WAfmPLNnJCnfzKDlVoTzulfPsooo8zkeRhtlfCF1mRS0ke5WZ5T0CrsrcoMNfU/jJ6SCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T09:07:30.587109Z","bundle_sha256":"5e0963938d54f85bc3b50db852763350a750c0c6300323540799d699ddd083b2"}}