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This yields graphs $G$ of largest degree 6, asymptotic diameter $|V(G)|^{1/3}$ and almost all vertices with degree: {\\bf(a)} 6 in $G$; {\\bf(b)} 4 in exactly six connected subgraphs of the $(3,6,3,6)$-semi-regular tessellation; and {\\bf(c)} 3 in exactly four connected subgraphs of the $\\{6,3\\}$-regular hexagonal tessell"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1108.1571","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-08-07T20:12:20Z","cross_cats_sorted":[],"title_canon_sha256":"59e96afe8847bd10d9c2d937445b6f8d221a4acf9e9111d89e7e80c4d6573550","abstract_canon_sha256":"f5527707fb9aecd37a0c86e888c0c23257cfdbd40a6c02d24139513072889829"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:37.646595Z","signature_b64":"4UsOAv/qhwVGUU7DR/WRbvJGEfKAyA9YFUntCQNfrRQcLx9ttAy7gt+G3HfxV6z062IW30z4f8CHNBqeQaS6CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a10dea9c0a350557fd23ff4de0f694dcd0fe69de479d3106f7578db8e97f6cd3","last_reissued_at":"2026-05-18T02:38:37.646081Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:37.646081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On rainbow tetrahedra in Cayley graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Italo J. 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