{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:GUW53TW7IVRDACU4YURXNYE55V","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":"675ebe66e0f742e37382fe051dcf1f98c69322cb81d9e7164cc393eef6c56241","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2009-04-27T14:15:46Z","title_canon_sha256":"aec557e7505490fb8bb4a9f6951ce00e524780a46d65dd1eda047d6532dd1564"},"schema_version":"1.0","source":{"id":"0904.4167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.4167","created_at":"2026-05-18T03:37:09Z"},{"alias_kind":"arxiv_version","alias_value":"0904.4167v1","created_at":"2026-05-18T03:37:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.4167","created_at":"2026-05-18T03:37:09Z"},{"alias_kind":"pith_short_12","alias_value":"GUW53TW7IVRD","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"GUW53TW7IVRDACU4","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"GUW53TW7","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:744d55c730bd1c477c1ce4d126c88d34c84c177bf90498db74b44a0fe7a98509","target":"graph","created_at":"2026-05-18T03:37:09Z","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":"Regular Ann-functor classification problem has been solved with Shukla cohomology. In this paper, we would like to present a solution to the above problem in the general case and in the case of strong Ann-functors with, respectively, Mac Lane cohomology and Hochschild cohomology.","authors_text":"Dang Dinh Hanh, Nguyen Tien Quang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2009-04-27T14:15:46Z","title":"Cohomological classification of Ann-functors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.4167","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":"sha256:3d887a74cbceaffe38afe58fc2de145ea7e96313dcefbf48466bbaf45c727ebd","target":"record","created_at":"2026-05-18T03:37:09Z","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":"675ebe66e0f742e37382fe051dcf1f98c69322cb81d9e7164cc393eef6c56241","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2009-04-27T14:15:46Z","title_canon_sha256":"aec557e7505490fb8bb4a9f6951ce00e524780a46d65dd1eda047d6532dd1564"},"schema_version":"1.0","source":{"id":"0904.4167","kind":"arxiv","version":1}},"canonical_sha256":"352dddcedf4562300a9cc52376e09ded7c87d3e0b6855434a2e6083e5b482934","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"352dddcedf4562300a9cc52376e09ded7c87d3e0b6855434a2e6083e5b482934","first_computed_at":"2026-05-18T03:37:09.543186Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:09.543186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nXS55LBxdTDpXqvppabf6HUnujkkwDQkA0BSrOS2btcf1YXF+k1KrCybkK0HNgVF1NzHjZits97JQgmN9qJWDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:09.544081Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.4167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d887a74cbceaffe38afe58fc2de145ea7e96313dcefbf48466bbaf45c727ebd","sha256:744d55c730bd1c477c1ce4d126c88d34c84c177bf90498db74b44a0fe7a98509"],"state_sha256":"8e1b3151238260acfc37dc401d83d4b8ecb8cebdc17bdc3844ed166f61138e64"}