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We show that for any algebra $A$ whose global dimension $\\mathop{\\rm gl. dim}\\nolimits A\\leq 2$ and any 2-term silting complex $\\mathbf{P}$ in the bounded derived category ${D^b(A)}$ of $A$, the global dimension of $\\mathop{\\rm End}\\nolimits_{D^b(A)}(\\mathbf{P})$ is at most 7. We also show that for each $n>2$, there is an algebra $A$ with $\\mathop{\\rm gl. dim}\\nolimits A=n$ such that ${D^b(A)}$ admits a 2-term silting complex $\\mathbf{P}$ with $\\mathop{\\rm gl. dim}\\nolimits \\mathop{\\rm End}\\n"},"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":"1605.09255","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-05-30T14:40:38Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"acd1e0cd308f6bdcd9d34c8366b9308d198f4c010191ad1826a9c613cc4c559c","abstract_canon_sha256":"39892daeb4c519b009983bfefda358ed0d7a6d69c71298706b4e54f66e958f39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:21.569841Z","signature_b64":"Pr/LvdLw2ULbqbt+6MVT4GuRie20WM6f72+h7LKiXRZ6T57aETnK+tVlxnR1ITWlIrAwCmfUxH/iVH5dECmpDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6575d6a3b0fa253995896f4c661543360f4a5e27561c224316da802a4975153b","last_reissued_at":"2026-05-18T01:13:21.569372Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:21.569372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Endomorphism algebras of 2-term silting complexes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Aslak Bakke Buan, Yu Zhou","submitted_at":"2016-05-30T14:40:38Z","abstract_excerpt":"We study possible values of the global dimension of endomorphism algebras of 2-term silting complexes. We show that for any algebra $A$ whose global dimension $\\mathop{\\rm gl. dim}\\nolimits A\\leq 2$ and any 2-term silting complex $\\mathbf{P}$ in the bounded derived category ${D^b(A)}$ of $A$, the global dimension of $\\mathop{\\rm End}\\nolimits_{D^b(A)}(\\mathbf{P})$ is at most 7. We also show that for each $n>2$, there is an algebra $A$ with $\\mathop{\\rm gl. dim}\\nolimits A=n$ such that ${D^b(A)}$ admits a 2-term silting complex $\\mathbf{P}$ with $\\mathop{\\rm gl. dim}\\nolimits \\mathop{\\rm End}\\n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09255","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":"1605.09255","created_at":"2026-05-18T01:13:21.569441+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.09255v1","created_at":"2026-05-18T01:13:21.569441+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.09255","created_at":"2026-05-18T01:13:21.569441+00:00"},{"alias_kind":"pith_short_12","alias_value":"MV25NI5Q7IST","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MV25NI5Q7ISTTFMJ","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MV25NI5Q","created_at":"2026-05-18T12:30:32.724797+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/MV25NI5Q7ISTTFMJN5GGMFKDGY","json":"https://pith.science/pith/MV25NI5Q7ISTTFMJN5GGMFKDGY.json","graph_json":"https://pith.science/api/pith-number/MV25NI5Q7ISTTFMJN5GGMFKDGY/graph.json","events_json":"https://pith.science/api/pith-number/MV25NI5Q7ISTTFMJN5GGMFKDGY/events.json","paper":"https://pith.science/paper/MV25NI5Q"},"agent_actions":{"view_html":"https://pith.science/pith/MV25NI5Q7ISTTFMJN5GGMFKDGY","download_json":"https://pith.science/pith/MV25NI5Q7ISTTFMJN5GGMFKDGY.json","view_paper":"https://pith.science/paper/MV25NI5Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.09255&json=true","fetch_graph":"https://pith.science/api/pith-number/MV25NI5Q7ISTTFMJN5GGMFKDGY/graph.json","fetch_events":"https://pith.science/api/pith-number/MV25NI5Q7ISTTFMJN5GGMFKDGY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MV25NI5Q7ISTTFMJN5GGMFKDGY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MV25NI5Q7ISTTFMJN5GGMFKDGY/action/storage_attestation","attest_author":"https://pith.science/pith/MV25NI5Q7ISTTFMJN5GGMFKDGY/action/author_attestation","sign_citation":"https://pith.science/pith/MV25NI5Q7ISTTFMJN5GGMFKDGY/action/citation_signature","submit_replication":"https://pith.science/pith/MV25NI5Q7ISTTFMJN5GGMFKDGY/action/replication_record"}},"created_at":"2026-05-18T01:13:21.569441+00:00","updated_at":"2026-05-18T01:13:21.569441+00:00"}