{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:VKD6WR26XA3WPXLYAKLL2KMG6C","short_pith_number":"pith:VKD6WR26","canonical_record":{"source":{"id":"1304.5108","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-18T12:37:02Z","cross_cats_sorted":[],"title_canon_sha256":"11df0f49e6492826cadae0427c9b4890f9837720ef014801d5046267d61258a0","abstract_canon_sha256":"58c2f9104426f1df02c53d447599d48e6ed87676d378e3dc1ff88d7aaea3dd4d"},"schema_version":"1.0"},"canonical_sha256":"aa87eb475eb83767dd780296bd2986f0a489efbbe6d2c4525216284eb5a69338","source":{"kind":"arxiv","id":"1304.5108","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.5108","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"arxiv_version","alias_value":"1304.5108v1","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5108","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"pith_short_12","alias_value":"VKD6WR26XA3W","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VKD6WR26XA3WPXLY","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VKD6WR26","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:VKD6WR26XA3WPXLYAKLL2KMG6C","target":"record","payload":{"canonical_record":{"source":{"id":"1304.5108","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-18T12:37:02Z","cross_cats_sorted":[],"title_canon_sha256":"11df0f49e6492826cadae0427c9b4890f9837720ef014801d5046267d61258a0","abstract_canon_sha256":"58c2f9104426f1df02c53d447599d48e6ed87676d378e3dc1ff88d7aaea3dd4d"},"schema_version":"1.0"},"canonical_sha256":"aa87eb475eb83767dd780296bd2986f0a489efbbe6d2c4525216284eb5a69338","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:41.738639Z","signature_b64":"h3CWhglEcFVq1i5+SI2xdn8CcN7+CDD/9U3cUtdrtYUVdxlZvEbCbTAEY0wpk9LVaKYDAPBqogpLUvCdqcD6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa87eb475eb83767dd780296bd2986f0a489efbbe6d2c4525216284eb5a69338","last_reissued_at":"2026-05-18T03:27:41.738074Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:41.738074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.5108","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:27:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VDy5M3uLQBLSK45f60HDaIxdonRgxbaEeHHL0UBNNXbizlBl5WxaIg5OaadS5gybE7k87waPm9Srw+PH7pSuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:14:38.441129Z"},"content_sha256":"ec19562cc76ee537bbf3a7f38ca8787ddca70423c805f03228cfc0980628c86d","schema_version":"1.0","event_id":"sha256:ec19562cc76ee537bbf3a7f38ca8787ddca70423c805f03228cfc0980628c86d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:VKD6WR26XA3WPXLYAKLL2KMG6C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tilting bundles and the \"missing part\" on the weighted projective line of type $(2, 2, n)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jianmin Chen, Shiquan Ruan, Yanan Lin","submitted_at":"2013-04-18T12:37:02Z","abstract_excerpt":"This paper classifies all the tilting bundles in the category of coherent sheaves on the weighted projective line of weight type $(2, 2, n)$, and investigates the abelianness of the \"missing part\" from the category of coherent sheaves to the category of finitely generated right modules on the associated tilted algebra for each tilting bundle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5108","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:27:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"imDkT3KOFMBJSyUnvbcGLUA7YdFqU7hT+XiPcAAY1j/eYGlu8L4KXBfjE1LbUYQ4l+vRY+pxGt+SDHwF2J3eCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:14:38.441642Z"},"content_sha256":"1396779b184f444ede4a516ec1228550f4cca43e54f980bb052bed516e246444","schema_version":"1.0","event_id":"sha256:1396779b184f444ede4a516ec1228550f4cca43e54f980bb052bed516e246444"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VKD6WR26XA3WPXLYAKLL2KMG6C/bundle.json","state_url":"https://pith.science/pith/VKD6WR26XA3WPXLYAKLL2KMG6C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VKD6WR26XA3WPXLYAKLL2KMG6C/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T15:14:38Z","links":{"resolver":"https://pith.science/pith/VKD6WR26XA3WPXLYAKLL2KMG6C","bundle":"https://pith.science/pith/VKD6WR26XA3WPXLYAKLL2KMG6C/bundle.json","state":"https://pith.science/pith/VKD6WR26XA3WPXLYAKLL2KMG6C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VKD6WR26XA3WPXLYAKLL2KMG6C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VKD6WR26XA3WPXLYAKLL2KMG6C","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"58c2f9104426f1df02c53d447599d48e6ed87676d378e3dc1ff88d7aaea3dd4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-18T12:37:02Z","title_canon_sha256":"11df0f49e6492826cadae0427c9b4890f9837720ef014801d5046267d61258a0"},"schema_version":"1.0","source":{"id":"1304.5108","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.5108","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"arxiv_version","alias_value":"1304.5108v1","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5108","created_at":"2026-05-18T03:27:41Z"},{"alias_kind":"pith_short_12","alias_value":"VKD6WR26XA3W","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VKD6WR26XA3WPXLY","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VKD6WR26","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:1396779b184f444ede4a516ec1228550f4cca43e54f980bb052bed516e246444","target":"graph","created_at":"2026-05-18T03:27:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper classifies all the tilting bundles in the category of coherent sheaves on the weighted projective line of weight type $(2, 2, n)$, and investigates the abelianness of the \"missing part\" from the category of coherent sheaves to the category of finitely generated right modules on the associated tilted algebra for each tilting bundle.","authors_text":"Jianmin Chen, Shiquan Ruan, Yanan Lin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-18T12:37:02Z","title":"Tilting bundles and the \"missing part\" on the weighted projective line of type $(2, 2, n)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5108","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ec19562cc76ee537bbf3a7f38ca8787ddca70423c805f03228cfc0980628c86d","target":"record","created_at":"2026-05-18T03:27:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"58c2f9104426f1df02c53d447599d48e6ed87676d378e3dc1ff88d7aaea3dd4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-18T12:37:02Z","title_canon_sha256":"11df0f49e6492826cadae0427c9b4890f9837720ef014801d5046267d61258a0"},"schema_version":"1.0","source":{"id":"1304.5108","kind":"arxiv","version":1}},"canonical_sha256":"aa87eb475eb83767dd780296bd2986f0a489efbbe6d2c4525216284eb5a69338","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa87eb475eb83767dd780296bd2986f0a489efbbe6d2c4525216284eb5a69338","first_computed_at":"2026-05-18T03:27:41.738074Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:41.738074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h3CWhglEcFVq1i5+SI2xdn8CcN7+CDD/9U3cUtdrtYUVdxlZvEbCbTAEY0wpk9LVaKYDAPBqogpLUvCdqcD6BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:41.738639Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.5108","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec19562cc76ee537bbf3a7f38ca8787ddca70423c805f03228cfc0980628c86d","sha256:1396779b184f444ede4a516ec1228550f4cca43e54f980bb052bed516e246444"],"state_sha256":"96decf2d9c8da574f82328cc6d8267f3eb03bb8a5f33e5ab09b683de6ebb6f20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RkJPh8WeUXZTb28HhcAp+U0od04sNxSrgSN1vHmKNNkqWjQ7XvmZY+wJBySXK9UupXYM0R2O4coFMoL/+yxXCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T15:14:38.444873Z","bundle_sha256":"931f42c1955132797c92bd23fdd499758f4ffd4e0dad2859874ae5942029de06"}}