{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3SB47S7K6SWAXO3BF6X7MSNC4J","short_pith_number":"pith:3SB47S7K","schema_version":"1.0","canonical_sha256":"dc83cfcbeaf4ac0bbb612faff649a2e26702c38cc330c8435e0eac177c1048df","source":{"kind":"arxiv","id":"1708.05274","version":3},"attestation_state":"computed","paper":{"title":"Bounded t-structures on the bounded derived category of coherent sheaves over a weighted projective line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CT"],"primary_cat":"math.RT","authors_text":"Chao Sun","submitted_at":"2017-08-17T13:52:34Z","abstract_excerpt":"We use recollement and HRS-tilt to describe bounded t-structures on the bounded derived category $\\mathcal{D}^b(\\mathbb{X})$ of coherent sheaves over a weighted projective line $\\mathbb{X}$ of virtual genus $\\leq 1$. We will see from our description that the combinatorics in classification of bounded t-structures on $\\mathcal{D}^b(\\mathbb{X})$ can be reduced to that in classification of bounded t-structures on bounded derived categories of finite dimensional right modules over representation-finite finite dimensional hereditary algebras."},"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":"1708.05274","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-17T13:52:34Z","cross_cats_sorted":["math.AG","math.CT"],"title_canon_sha256":"e2b4c6f605b63ad4d46ca949bd49c1400609bbd9015d25388b71d23bb2602ea3","abstract_canon_sha256":"032c1b77c250cde658991fb6e8bf63235613f1e43df6b3c53b2d15bf2e3cf681"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:34.505515Z","signature_b64":"CBEZcTdoNWe5TTZk6BFXTb8T35Wm9w+G5ZWXtITC6s9zN/iYtykZPX9S7ndz/MZ/KXfL/j2tvLN4yEmrA/AvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc83cfcbeaf4ac0bbb612faff649a2e26702c38cc330c8435e0eac177c1048df","last_reissued_at":"2026-05-17T23:51:34.504803Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:34.504803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounded t-structures on the bounded derived category of coherent sheaves over a weighted projective line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CT"],"primary_cat":"math.RT","authors_text":"Chao Sun","submitted_at":"2017-08-17T13:52:34Z","abstract_excerpt":"We use recollement and HRS-tilt to describe bounded t-structures on the bounded derived category $\\mathcal{D}^b(\\mathbb{X})$ of coherent sheaves over a weighted projective line $\\mathbb{X}$ of virtual genus $\\leq 1$. We will see from our description that the combinatorics in classification of bounded t-structures on $\\mathcal{D}^b(\\mathbb{X})$ can be reduced to that in classification of bounded t-structures on bounded derived categories of finite dimensional right modules over representation-finite finite dimensional hereditary algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05274","kind":"arxiv","version":3},"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":"1708.05274","created_at":"2026-05-17T23:51:34.504909+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.05274v3","created_at":"2026-05-17T23:51:34.504909+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05274","created_at":"2026-05-17T23:51:34.504909+00:00"},{"alias_kind":"pith_short_12","alias_value":"3SB47S7K6SWA","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3SB47S7K6SWAXO3B","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3SB47S7K","created_at":"2026-05-18T12:30:58.224056+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/3SB47S7K6SWAXO3BF6X7MSNC4J","json":"https://pith.science/pith/3SB47S7K6SWAXO3BF6X7MSNC4J.json","graph_json":"https://pith.science/api/pith-number/3SB47S7K6SWAXO3BF6X7MSNC4J/graph.json","events_json":"https://pith.science/api/pith-number/3SB47S7K6SWAXO3BF6X7MSNC4J/events.json","paper":"https://pith.science/paper/3SB47S7K"},"agent_actions":{"view_html":"https://pith.science/pith/3SB47S7K6SWAXO3BF6X7MSNC4J","download_json":"https://pith.science/pith/3SB47S7K6SWAXO3BF6X7MSNC4J.json","view_paper":"https://pith.science/paper/3SB47S7K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.05274&json=true","fetch_graph":"https://pith.science/api/pith-number/3SB47S7K6SWAXO3BF6X7MSNC4J/graph.json","fetch_events":"https://pith.science/api/pith-number/3SB47S7K6SWAXO3BF6X7MSNC4J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3SB47S7K6SWAXO3BF6X7MSNC4J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3SB47S7K6SWAXO3BF6X7MSNC4J/action/storage_attestation","attest_author":"https://pith.science/pith/3SB47S7K6SWAXO3BF6X7MSNC4J/action/author_attestation","sign_citation":"https://pith.science/pith/3SB47S7K6SWAXO3BF6X7MSNC4J/action/citation_signature","submit_replication":"https://pith.science/pith/3SB47S7K6SWAXO3BF6X7MSNC4J/action/replication_record"}},"created_at":"2026-05-17T23:51:34.504909+00:00","updated_at":"2026-05-17T23:51:34.504909+00:00"}