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For an integer n, let t(n, K_4^3-2e) denote the smallest integer d so that every 3-uniform hypergraph G of order n with minimum pair-degree \\delta_2(G) \\geq d contains \\floor{n/4} vertex-disjoint copies of K_4^3-2e. K\\\"uhn and Osthus proved that t(n, K_4^3-2e) = (1 + o(1))n/4 holds for large integers n. Here, we prove the exact counterpart, that for all sufficiently large integers n divisible by 4, t(n, K_4^3-2e) = n/4 when n/4 is odd, and t(n, K_4^3-2e) = n/4+1 when n/4 is even.\n  A main ingredient in our proof is th","authors_text":"Andrzej Czygrinow, Brendan Nagle, Louis DeBiasio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-08-20T19:11:31Z","title":"Tiling 3-uniform hypergraphs with K_4^3-2e"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4140","kind":"arxiv","version":3},"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:ef87961bbedb1a2da5994275f8fcb41ec419453bb4870993a2e5358bd8db967a","target":"record","created_at":"2026-05-18T03:38:46Z","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":"96535840fb98ac99643e6219077c6f1c21940c596ec26d24b7d0c4961ffda4d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-08-20T19:11:31Z","title_canon_sha256":"ad3319846e5ec7839a5829589b71008f2f96eee873f21b0ed8dae41d55eccf4c"},"schema_version":"1.0","source":{"id":"1108.4140","kind":"arxiv","version":3}},"canonical_sha256":"966fcd6a92bf47991aad3e108ea4fd6f9d99b9012c908ada3fb505c5f0853bdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"966fcd6a92bf47991aad3e108ea4fd6f9d99b9012c908ada3fb505c5f0853bdb","first_computed_at":"2026-05-18T03:38:46.397630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:46.397630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZKiaNHNATmlDoRj3Km4BTb1DQ0sAzCWBs7KDofjJWZyootSUg6vCLtUSK2aPGvV2N8nJpAjYtzFt9FBgWJctCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:46.398418Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4140","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef87961bbedb1a2da5994275f8fcb41ec419453bb4870993a2e5358bd8db967a","sha256:c63366046bb4c6a9095bbb9ff53da92dff7782320b184227c02c961445d04c19"],"state_sha256":"386bcfc30a69d8be220d13a8978f2003f5935b90ba89078d9f36e64aab59c8d5"}