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A {\\it monic integer Chebyshev polynomial} $M_n \\in {\\M}_n({\\Z})$ satisfies $$ \\| M_n \\|_{E} = \\inf_{P_n \\in{\\M}_n ({\\Z})} \\| P_n \\|_{E}. $$ and the {\\it monic integer Chebyshev constant} is then defined by $$ t_M(E) := \\lim_{n \\rightarrow \\infty} \\| M_n \\|_{E}^{1/n}. $$ This is the obvious analogue of the more usual {\\it integer Chebyshev constant} that has been much studied.\n  We compute $t_M(E)$ for vari"},"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":"1307.5362","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-07-20T01:41:24Z","cross_cats_sorted":[],"title_canon_sha256":"39fd226b9c16a2fff69a9efcfa191384c12b123c51ad98fc29493e49afd00252","abstract_canon_sha256":"daa37ccd8fb88e7f3691ea19f5162f13e1330794a5bd7d45159168610dac838d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:55.997090Z","signature_b64":"+YmKfJT44pLSYp4mTwIvSotAp67IiEp46d2O2IqAhLG/MBsfiUuUanBsIgOxWHnUMiOXlBIj1KZnzIlUtE9gAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d8096c502aa040166f740573cf6ce2e5e7b7ac880b79880c07e528fff2ac4b0","last_reissued_at":"2026-05-18T03:17:55.996395Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:55.996395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Monic integer Chebyshev problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"C. 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A {\\it monic integer Chebyshev polynomial} $M_n \\in {\\M}_n({\\Z})$ satisfies $$ \\| M_n \\|_{E} = \\inf_{P_n \\in{\\M}_n ({\\Z})} \\| P_n \\|_{E}. $$ and the {\\it monic integer Chebyshev constant} is then defined by $$ t_M(E) := \\lim_{n \\rightarrow \\infty} \\| M_n \\|_{E}^{1/n}. $$ This is the obvious analogue of the more usual {\\it integer Chebyshev constant} that has been much studied.\n  We compute $t_M(E)$ for vari"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5362","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1307.5362","created_at":"2026-05-18T03:17:55.996522+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.5362v1","created_at":"2026-05-18T03:17:55.996522+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5362","created_at":"2026-05-18T03:17:55.996522+00:00"},{"alias_kind":"pith_short_12","alias_value":"DWAJNRICVICA","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"DWAJNRICVICACZXX","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"DWAJNRIC","created_at":"2026-05-18T12:27:43.054852+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DWAJNRICVICACZXXIBLTZ5WOFZ","json":"https://pith.science/pith/DWAJNRICVICACZXXIBLTZ5WOFZ.json","graph_json":"https://pith.science/api/pith-number/DWAJNRICVICACZXXIBLTZ5WOFZ/graph.json","events_json":"https://pith.science/api/pith-number/DWAJNRICVICACZXXIBLTZ5WOFZ/events.json","paper":"https://pith.science/paper/DWAJNRIC"},"agent_actions":{"view_html":"https://pith.science/pith/DWAJNRICVICACZXXIBLTZ5WOFZ","download_json":"https://pith.science/pith/DWAJNRICVICACZXXIBLTZ5WOFZ.json","view_paper":"https://pith.science/paper/DWAJNRIC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.5362&json=true","fetch_graph":"https://pith.science/api/pith-number/DWAJNRICVICACZXXIBLTZ5WOFZ/graph.json","fetch_events":"https://pith.science/api/pith-number/DWAJNRICVICACZXXIBLTZ5WOFZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DWAJNRICVICACZXXIBLTZ5WOFZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DWAJNRICVICACZXXIBLTZ5WOFZ/action/storage_attestation","attest_author":"https://pith.science/pith/DWAJNRICVICACZXXIBLTZ5WOFZ/action/author_attestation","sign_citation":"https://pith.science/pith/DWAJNRICVICACZXXIBLTZ5WOFZ/action/citation_signature","submit_replication":"https://pith.science/pith/DWAJNRICVICACZXXIBLTZ5WOFZ/action/replication_record"}},"created_at":"2026-05-18T03:17:55.996522+00:00","updated_at":"2026-05-18T03:17:55.996522+00:00"}