{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:TOWO4KGF437TKSAOQ6VSPJ7CI3","short_pith_number":"pith:TOWO4KGF","canonical_record":{"source":{"id":"1505.05406","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2015-05-20T14:46:26Z","cross_cats_sorted":[],"title_canon_sha256":"9a676c34cea30d099ca360e3fc1ec1bfe5ad52cfa1c2b0e09857434795663dbf","abstract_canon_sha256":"23739275eb2ab3610fabf70e6131583d362fdbcae889aca877cf1e059b3d98ba"},"schema_version":"1.0"},"canonical_sha256":"9bacee28c5e6ff35480e87ab27a7e246d02439d62e3f807a7e71716c46091051","source":{"kind":"arxiv","id":"1505.05406","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05406","created_at":"2026-05-18T00:31:05Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05406v2","created_at":"2026-05-18T00:31:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05406","created_at":"2026-05-18T00:31:05Z"},{"alias_kind":"pith_short_12","alias_value":"TOWO4KGF437T","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TOWO4KGF437TKSAO","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TOWO4KGF","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:TOWO4KGF437TKSAOQ6VSPJ7CI3","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05406","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2015-05-20T14:46:26Z","cross_cats_sorted":[],"title_canon_sha256":"9a676c34cea30d099ca360e3fc1ec1bfe5ad52cfa1c2b0e09857434795663dbf","abstract_canon_sha256":"23739275eb2ab3610fabf70e6131583d362fdbcae889aca877cf1e059b3d98ba"},"schema_version":"1.0"},"canonical_sha256":"9bacee28c5e6ff35480e87ab27a7e246d02439d62e3f807a7e71716c46091051","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:05.681747Z","signature_b64":"qL2BTD6zeLi0byf1K08KXi1jY5t9fcLr3zS3uhAc67PEcH7uGb7d0VMFpNcT274tTXlP8L1q1/UwLFiWTwKYDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bacee28c5e6ff35480e87ab27a7e246d02439d62e3f807a7e71716c46091051","last_reissued_at":"2026-05-18T00:31:05.681131Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:05.681131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05406","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":"2026-05-18T00:31:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P/88JFLn1JGxdPsskN7TOo0DCwYbNye5B5joYTRyYfMNns6z7AMbqiOZISnraQKWG1ul4L8+vqL5F7zPb7ZsAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:33:33.546630Z"},"content_sha256":"a478208bea6476b41a9329dd3f0ff308a661e4631ea59120d4e7005205a8d261","schema_version":"1.0","event_id":"sha256:a478208bea6476b41a9329dd3f0ff308a661e4631ea59120d4e7005205a8d261"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:TOWO4KGF437TKSAOQ6VSPJ7CI3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Yoneda isomorphism commutes with homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"George Peschke, Tim Van der Linden","submitted_at":"2015-05-20T14:46:26Z","abstract_excerpt":"We show that, for a right exact functor from an abelian category to abelian groups, Yoneda's isomorphism commutes with homology and, hence, with functor derivation. Then we extend this result to semiabelian domains. An interpretation in terms of satellites and higher central extensions follows. As an application, we develop semiabelian (higher) torsion theories and the associated theory of (higher) universal (central) extensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05406","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":"2026-05-18T00:31:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"puIiH/HdJ8Vcy0tunpQZMEdYg4ZnwwAEWrzPWw/EKzHl0EN/0aC+2fOKM6CG+4X8VCAy/fOpxQ0upgTIHKXQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:33:33.547357Z"},"content_sha256":"f40bd5140e8d14b4b03df0ccec5ffedf5293720bbe6b6c28b7ab457a9df78cb6","schema_version":"1.0","event_id":"sha256:f40bd5140e8d14b4b03df0ccec5ffedf5293720bbe6b6c28b7ab457a9df78cb6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TOWO4KGF437TKSAOQ6VSPJ7CI3/bundle.json","state_url":"https://pith.science/pith/TOWO4KGF437TKSAOQ6VSPJ7CI3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TOWO4KGF437TKSAOQ6VSPJ7CI3/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":"2026-05-26T16:33:33Z","links":{"resolver":"https://pith.science/pith/TOWO4KGF437TKSAOQ6VSPJ7CI3","bundle":"https://pith.science/pith/TOWO4KGF437TKSAOQ6VSPJ7CI3/bundle.json","state":"https://pith.science/pith/TOWO4KGF437TKSAOQ6VSPJ7CI3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TOWO4KGF437TKSAOQ6VSPJ7CI3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TOWO4KGF437TKSAOQ6VSPJ7CI3","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":"23739275eb2ab3610fabf70e6131583d362fdbcae889aca877cf1e059b3d98ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2015-05-20T14:46:26Z","title_canon_sha256":"9a676c34cea30d099ca360e3fc1ec1bfe5ad52cfa1c2b0e09857434795663dbf"},"schema_version":"1.0","source":{"id":"1505.05406","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05406","created_at":"2026-05-18T00:31:05Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05406v2","created_at":"2026-05-18T00:31:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05406","created_at":"2026-05-18T00:31:05Z"},{"alias_kind":"pith_short_12","alias_value":"TOWO4KGF437T","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TOWO4KGF437TKSAO","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TOWO4KGF","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:f40bd5140e8d14b4b03df0ccec5ffedf5293720bbe6b6c28b7ab457a9df78cb6","target":"graph","created_at":"2026-05-18T00:31:05Z","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 show that, for a right exact functor from an abelian category to abelian groups, Yoneda's isomorphism commutes with homology and, hence, with functor derivation. Then we extend this result to semiabelian domains. An interpretation in terms of satellites and higher central extensions follows. As an application, we develop semiabelian (higher) torsion theories and the associated theory of (higher) universal (central) extensions.","authors_text":"George Peschke, Tim Van der Linden","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2015-05-20T14:46:26Z","title":"The Yoneda isomorphism commutes with homology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05406","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:a478208bea6476b41a9329dd3f0ff308a661e4631ea59120d4e7005205a8d261","target":"record","created_at":"2026-05-18T00:31:05Z","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":"23739275eb2ab3610fabf70e6131583d362fdbcae889aca877cf1e059b3d98ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2015-05-20T14:46:26Z","title_canon_sha256":"9a676c34cea30d099ca360e3fc1ec1bfe5ad52cfa1c2b0e09857434795663dbf"},"schema_version":"1.0","source":{"id":"1505.05406","kind":"arxiv","version":2}},"canonical_sha256":"9bacee28c5e6ff35480e87ab27a7e246d02439d62e3f807a7e71716c46091051","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bacee28c5e6ff35480e87ab27a7e246d02439d62e3f807a7e71716c46091051","first_computed_at":"2026-05-18T00:31:05.681131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:05.681131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qL2BTD6zeLi0byf1K08KXi1jY5t9fcLr3zS3uhAc67PEcH7uGb7d0VMFpNcT274tTXlP8L1q1/UwLFiWTwKYDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:05.681747Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05406","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a478208bea6476b41a9329dd3f0ff308a661e4631ea59120d4e7005205a8d261","sha256:f40bd5140e8d14b4b03df0ccec5ffedf5293720bbe6b6c28b7ab457a9df78cb6"],"state_sha256":"5ebb62e5ef7c62f5198ffbaba5ef3e159fef72cd542fbc0b31655fc88cb70248"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pp86EgYwXIecsr8c0bjsdA+xWoGE1MFApx/eocR0jMSQYcCy9VwNXjU8+8o0nODFsWIW/AFrm0GF06L0j5/DAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:33:33.551141Z","bundle_sha256":"45ce694d3054236179dd6cc14c5309088f797d4be429521fbd0bad876e5dc47e"}}