{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:Q5VFCZIK5PTHRBZJZNCAZU3SH3","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":"1e8016e22faccb6993761a46a325a91a3f8b2a10f5da2e7b06d36b9f4bacf1e4","cross_cats_sorted":["hep-th","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2010-08-27T12:33:32Z","title_canon_sha256":"cb30db5de20582279413a78539bdfac8efc3b81a4880fdb1bef98e7779c464f6"},"schema_version":"1.0","source":{"id":"1008.4701","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4701","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4701v1","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4701","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"pith_short_12","alias_value":"Q5VFCZIK5PTH","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"Q5VFCZIK5PTHRBZJ","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"Q5VFCZIK","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:2770d7efce4ec3017196e5caf47f2eb6dcbe499969f6576e286fc115e11d8b50","target":"graph","created_at":"2026-05-18T04:41:44Z","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 will construct the injective resolution of any $\\cR$-2-module, define the right derived 2-functor, and give some related properties of the derived 2-functor in ($\\cR$-2-Mod).","authors_text":"Fang Huang, Shao-Han Chen, Wei Chen, Zhu-Jun Zheng","cross_cats":["hep-th","math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2010-08-27T12:33:32Z","title":"Higher Dimensional Homology Algebra V:Injective Resolutions and Derived 2-Functors in ($\\cR$-2-Mod)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4701","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":"sha256:8b02aab8aa95b7f923175e4a9705155ed44001b18b4823f50554c5f889f1f914","target":"record","created_at":"2026-05-18T04:41:44Z","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":"1e8016e22faccb6993761a46a325a91a3f8b2a10f5da2e7b06d36b9f4bacf1e4","cross_cats_sorted":["hep-th","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2010-08-27T12:33:32Z","title_canon_sha256":"cb30db5de20582279413a78539bdfac8efc3b81a4880fdb1bef98e7779c464f6"},"schema_version":"1.0","source":{"id":"1008.4701","kind":"arxiv","version":1}},"canonical_sha256":"876a51650aebe6788729cb440cd3723efccb88575a38a69463c70e8c48ae1f85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"876a51650aebe6788729cb440cd3723efccb88575a38a69463c70e8c48ae1f85","first_computed_at":"2026-05-18T04:41:44.459076Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:44.459076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1AKJ7wfA0zxkUmOOJPLcN6DgudF5sSVGHgAJHEVB6kjwGSEbTCuK0KJeyo5/w67sjtyONkVDz0K5tHhxDKkyDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:44.459456Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4701","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b02aab8aa95b7f923175e4a9705155ed44001b18b4823f50554c5f889f1f914","sha256:2770d7efce4ec3017196e5caf47f2eb6dcbe499969f6576e286fc115e11d8b50"],"state_sha256":"78e9287aee9c5ec41beac6c7c63197091f940650a328e5fe2b89b871c13338d1"}