{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CDY64CZSHTX4SUMWKUMJWGPYRD","short_pith_number":"pith:CDY64CZS","canonical_record":{"source":{"id":"1106.1606","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2011-06-08T17:45:25Z","cross_cats_sorted":[],"title_canon_sha256":"60468be515394b036742b70ff4a4e3c9e0de36e7d8eab2d582e641067e34e7e1","abstract_canon_sha256":"1faa98ccd08e74982dc0855aa6d452a67f954f2db24fe173b07b79d1dffe3680"},"schema_version":"1.0"},"canonical_sha256":"10f1ee0b323cefc9519655189b19f888ecd4b8fa7c0d432faed13f67d6972756","source":{"kind":"arxiv","id":"1106.1606","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.1606","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1106.1606v1","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.1606","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"CDY64CZSHTX4","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CDY64CZSHTX4SUMW","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CDY64CZS","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CDY64CZSHTX4SUMWKUMJWGPYRD","target":"record","payload":{"canonical_record":{"source":{"id":"1106.1606","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2011-06-08T17:45:25Z","cross_cats_sorted":[],"title_canon_sha256":"60468be515394b036742b70ff4a4e3c9e0de36e7d8eab2d582e641067e34e7e1","abstract_canon_sha256":"1faa98ccd08e74982dc0855aa6d452a67f954f2db24fe173b07b79d1dffe3680"},"schema_version":"1.0"},"canonical_sha256":"10f1ee0b323cefc9519655189b19f888ecd4b8fa7c0d432faed13f67d6972756","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:22.679271Z","signature_b64":"QMvd9fujYSfk4Iq4dEuZcBuxzxnHfUvWu7suC5NWz8Rziy/RPaj04R1raJ84sBRiGsEYI9+wBIFoPLkkcHOiCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10f1ee0b323cefc9519655189b19f888ecd4b8fa7c0d432faed13f67d6972756","last_reissued_at":"2026-05-18T04:20:22.678801Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:22.678801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.1606","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":"2026-05-18T04:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"caoTt75JDLTak1odBI4Ga7+MeMk8nd603sTncuTX57tCkbesGx544OV17RZNp7vWxF723hgck+1eMDC5NegyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:32:29.996947Z"},"content_sha256":"5c4d9f21abed8b36fa82203e44b54eef50cf111ca88a031fec954eac42332f44","schema_version":"1.0","event_id":"sha256:5c4d9f21abed8b36fa82203e44b54eef50cf111ca88a031fec954eac42332f44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CDY64CZSHTX4SUMWKUMJWGPYRD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximal exact structures on additive categories revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Septimiu Crivei","submitted_at":"2011-06-08T17:45:25Z","abstract_excerpt":"Sieg and Wegner showed that the stable exact sequences define a maximal exact structure (in the sense of Quillen) in any pre-abelian category. We generalize this result for weakly idempotent complete additive categories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.1606","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":"2026-05-18T04:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x/sRoZRL63vTDJWTY/AWuojIOnwmj/rQ7jitkLWdl/gVijwAyck7xO/CXXHzDnIBtPkal887MLJJTGiPi/h6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:32:29.997288Z"},"content_sha256":"2fc6e09c6e1be413c360fc025426e659e9c0ff60456d4cdffab616b5d74ab8d7","schema_version":"1.0","event_id":"sha256:2fc6e09c6e1be413c360fc025426e659e9c0ff60456d4cdffab616b5d74ab8d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CDY64CZSHTX4SUMWKUMJWGPYRD/bundle.json","state_url":"https://pith.science/pith/CDY64CZSHTX4SUMWKUMJWGPYRD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CDY64CZSHTX4SUMWKUMJWGPYRD/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":"2026-06-09T15:32:29Z","links":{"resolver":"https://pith.science/pith/CDY64CZSHTX4SUMWKUMJWGPYRD","bundle":"https://pith.science/pith/CDY64CZSHTX4SUMWKUMJWGPYRD/bundle.json","state":"https://pith.science/pith/CDY64CZSHTX4SUMWKUMJWGPYRD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CDY64CZSHTX4SUMWKUMJWGPYRD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CDY64CZSHTX4SUMWKUMJWGPYRD","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":"1faa98ccd08e74982dc0855aa6d452a67f954f2db24fe173b07b79d1dffe3680","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2011-06-08T17:45:25Z","title_canon_sha256":"60468be515394b036742b70ff4a4e3c9e0de36e7d8eab2d582e641067e34e7e1"},"schema_version":"1.0","source":{"id":"1106.1606","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.1606","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1106.1606v1","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.1606","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"CDY64CZSHTX4","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CDY64CZSHTX4SUMW","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CDY64CZS","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:2fc6e09c6e1be413c360fc025426e659e9c0ff60456d4cdffab616b5d74ab8d7","target":"graph","created_at":"2026-05-18T04:20:22Z","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":"Sieg and Wegner showed that the stable exact sequences define a maximal exact structure (in the sense of Quillen) in any pre-abelian category. We generalize this result for weakly idempotent complete additive categories.","authors_text":"Septimiu Crivei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2011-06-08T17:45:25Z","title":"Maximal exact structures on additive categories revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.1606","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":"sha256:5c4d9f21abed8b36fa82203e44b54eef50cf111ca88a031fec954eac42332f44","target":"record","created_at":"2026-05-18T04:20:22Z","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":"1faa98ccd08e74982dc0855aa6d452a67f954f2db24fe173b07b79d1dffe3680","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2011-06-08T17:45:25Z","title_canon_sha256":"60468be515394b036742b70ff4a4e3c9e0de36e7d8eab2d582e641067e34e7e1"},"schema_version":"1.0","source":{"id":"1106.1606","kind":"arxiv","version":1}},"canonical_sha256":"10f1ee0b323cefc9519655189b19f888ecd4b8fa7c0d432faed13f67d6972756","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10f1ee0b323cefc9519655189b19f888ecd4b8fa7c0d432faed13f67d6972756","first_computed_at":"2026-05-18T04:20:22.678801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:22.678801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QMvd9fujYSfk4Iq4dEuZcBuxzxnHfUvWu7suC5NWz8Rziy/RPaj04R1raJ84sBRiGsEYI9+wBIFoPLkkcHOiCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:22.679271Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.1606","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c4d9f21abed8b36fa82203e44b54eef50cf111ca88a031fec954eac42332f44","sha256:2fc6e09c6e1be413c360fc025426e659e9c0ff60456d4cdffab616b5d74ab8d7"],"state_sha256":"c8b681f23225dce02a8171b59801ec405a0aa45a2940fe965ff7a54ec7ebd668"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nrij4D/5+mA4/Ax5s7Vv6p5arq2EKKixKtUmcXKmqWZ7Oz/ULPwuS9ulX32gvBvyhgqEEG8g9Wep01MaGtioBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T15:32:29.999184Z","bundle_sha256":"18ac38d426cd513ba82e0f8b4afe9ccf323848b9c6010b872080f94712692c26"}}