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In 1987, Gy\\'arf\\'as conjectured that for every $c$, if $\\mathcal{C}$ is a class of graphs such that $\\chi(G)\\le \\omega(G)+c$ for every induced subgraph $G$ of every graph in the class, then the class of complements of members of $\\mathcal{C}$ is $\\chi$-bounded. We prove this conjecture. Indeed, more generally, a class of graphs is $\\chi$-bounded if it"},"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":"1701.06301","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-01-23T09:06:25Z","cross_cats_sorted":[],"title_canon_sha256":"57314fdbdf5eb9ccc1ecffd208c1d7718a62bc9dc95741b80f20b496cf9c2d19","abstract_canon_sha256":"b540e40378ed9ed96bfe9904cdde0ce84b9156bb6a9f1211f7fd65b1e35f1da5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:20.184814Z","signature_b64":"rcsk8UecC0cKhA1EscsvSxGA3ntxHoldV8h36onqeOnZSRA8WfAyQLanDV3KZ4ErSfMGUuvFDhowHMkOvBhHBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2f50b2ec6134bfe43f9d1cb6b5dbd33c6e890f038e9a1ee3eab0b34dc26dd1b","last_reissued_at":"2026-05-17T23:51:20.184177Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:20.184177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Induced subgraphs of graphs with large chromatic number. 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