{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:FVX5QGZPIFRVQJ7QYXPGNZHZW5","short_pith_number":"pith:FVX5QGZP","canonical_record":{"source":{"id":"1908.02424","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-08-07T02:39:31Z","cross_cats_sorted":[],"title_canon_sha256":"4a2939b391cc9cf9b09f943bd807f43002b81f5c8ae848e850e2fe5d25b55dd5","abstract_canon_sha256":"3402d7e7aa5a576c2bdc2b24ccac490f65fd8aaf3593647eb646e17e669702b6"},"schema_version":"1.0"},"canonical_sha256":"2d6fd81b2f41635827f0c5de66e4f9b74d66e018188b5ffefb806848e43afbc7","source":{"kind":"arxiv","id":"1908.02424","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02424","created_at":"2026-07-05T00:20:31Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02424v2","created_at":"2026-07-05T00:20:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02424","created_at":"2026-07-05T00:20:31Z"},{"alias_kind":"pith_short_12","alias_value":"FVX5QGZPIFRV","created_at":"2026-07-05T00:20:31Z"},{"alias_kind":"pith_short_16","alias_value":"FVX5QGZPIFRVQJ7Q","created_at":"2026-07-05T00:20:31Z"},{"alias_kind":"pith_short_8","alias_value":"FVX5QGZP","created_at":"2026-07-05T00:20:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:FVX5QGZPIFRVQJ7QYXPGNZHZW5","target":"record","payload":{"canonical_record":{"source":{"id":"1908.02424","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-08-07T02:39:31Z","cross_cats_sorted":[],"title_canon_sha256":"4a2939b391cc9cf9b09f943bd807f43002b81f5c8ae848e850e2fe5d25b55dd5","abstract_canon_sha256":"3402d7e7aa5a576c2bdc2b24ccac490f65fd8aaf3593647eb646e17e669702b6"},"schema_version":"1.0"},"canonical_sha256":"2d6fd81b2f41635827f0c5de66e4f9b74d66e018188b5ffefb806848e43afbc7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:20:31.678083Z","signature_b64":"wCBdJ3q2DwtUN530MzlmMeD6yEZ21BF7OkDvlPW7vglG3JbkYYVSrq1n+RP+3uyWv2kNUi9fuBVdOt8DI4liCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d6fd81b2f41635827f0c5de66e4f9b74d66e018188b5ffefb806848e43afbc7","last_reissued_at":"2026-07-05T00:20:31.677708Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:20:31.677708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.02424","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:20:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IN2NsW43B3mvOt7H7QlD8nVpm4o0iFuBXS3zaDzoDBGmWNK4H86E9lFt58/aWyzetA9eB2jc/vZxFJuml0spBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T10:16:52.384070Z"},"content_sha256":"6261ed607e4a4ead5750515d8da89d15d0664abfcb68d3c37e259f46b2fb34bd","schema_version":"1.0","event_id":"sha256:6261ed607e4a4ead5750515d8da89d15d0664abfcb68d3c37e259f46b2fb34bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:FVX5QGZPIFRVQJ7QYXPGNZHZW5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-term tilting complexes for preprojective algebras of non-Dynkin type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Yuta Kimura, Yuya Mizuno","submitted_at":"2019-08-07T02:39:31Z","abstract_excerpt":"In this paper, we study two-term tilting complexes for preprojective algebras of non-Dynkin type. We show that there exist two families of two-term tilting complexes, which are respectively parameterized by the elements of the corresponding Coxeter group. Moreover, we provide the complete classification in the case of affine type by showing that any two-term silting complex belongs one of them. For this purpose, we also discuss the Krull-Schmidt property for the homotopy category of finitely generated projective modules over a complete ring."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02424","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.02424/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:20:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bVdiiISOVzglKpu17Y3tx6372UMtim6N0obCCf303n7xCLQSfCeR1pQUqmNyXsXgJ6JxtggKGQJYHMuo0vHbDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T10:16:52.384696Z"},"content_sha256":"f762f7e662c93a48814d440d63dcc78fa8a829d08179115f6d996c4da1d7f339","schema_version":"1.0","event_id":"sha256:f762f7e662c93a48814d440d63dcc78fa8a829d08179115f6d996c4da1d7f339"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FVX5QGZPIFRVQJ7QYXPGNZHZW5/bundle.json","state_url":"https://pith.science/pith/FVX5QGZPIFRVQJ7QYXPGNZHZW5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FVX5QGZPIFRVQJ7QYXPGNZHZW5/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":"2026-08-16T10:16:52Z","links":{"resolver":"https://pith.science/pith/FVX5QGZPIFRVQJ7QYXPGNZHZW5","bundle":"https://pith.science/pith/FVX5QGZPIFRVQJ7QYXPGNZHZW5/bundle.json","state":"https://pith.science/pith/FVX5QGZPIFRVQJ7QYXPGNZHZW5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FVX5QGZPIFRVQJ7QYXPGNZHZW5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FVX5QGZPIFRVQJ7QYXPGNZHZW5","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":"3402d7e7aa5a576c2bdc2b24ccac490f65fd8aaf3593647eb646e17e669702b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-08-07T02:39:31Z","title_canon_sha256":"4a2939b391cc9cf9b09f943bd807f43002b81f5c8ae848e850e2fe5d25b55dd5"},"schema_version":"1.0","source":{"id":"1908.02424","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02424","created_at":"2026-07-05T00:20:31Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02424v2","created_at":"2026-07-05T00:20:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02424","created_at":"2026-07-05T00:20:31Z"},{"alias_kind":"pith_short_12","alias_value":"FVX5QGZPIFRV","created_at":"2026-07-05T00:20:31Z"},{"alias_kind":"pith_short_16","alias_value":"FVX5QGZPIFRVQJ7Q","created_at":"2026-07-05T00:20:31Z"},{"alias_kind":"pith_short_8","alias_value":"FVX5QGZP","created_at":"2026-07-05T00:20:31Z"}],"graph_snapshots":[{"event_id":"sha256:f762f7e662c93a48814d440d63dcc78fa8a829d08179115f6d996c4da1d7f339","target":"graph","created_at":"2026-07-05T00:20:31Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.02424/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study two-term tilting complexes for preprojective algebras of non-Dynkin type. We show that there exist two families of two-term tilting complexes, which are respectively parameterized by the elements of the corresponding Coxeter group. Moreover, we provide the complete classification in the case of affine type by showing that any two-term silting complex belongs one of them. For this purpose, we also discuss the Krull-Schmidt property for the homotopy category of finitely generated projective modules over a complete ring.","authors_text":"Yuta Kimura, Yuya Mizuno","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-08-07T02:39:31Z","title":"Two-term tilting complexes for preprojective algebras of non-Dynkin type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02424","kind":"arxiv","version":2},"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":"sha256:6261ed607e4a4ead5750515d8da89d15d0664abfcb68d3c37e259f46b2fb34bd","target":"record","created_at":"2026-07-05T00:20:31Z","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":"3402d7e7aa5a576c2bdc2b24ccac490f65fd8aaf3593647eb646e17e669702b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-08-07T02:39:31Z","title_canon_sha256":"4a2939b391cc9cf9b09f943bd807f43002b81f5c8ae848e850e2fe5d25b55dd5"},"schema_version":"1.0","source":{"id":"1908.02424","kind":"arxiv","version":2}},"canonical_sha256":"2d6fd81b2f41635827f0c5de66e4f9b74d66e018188b5ffefb806848e43afbc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d6fd81b2f41635827f0c5de66e4f9b74d66e018188b5ffefb806848e43afbc7","first_computed_at":"2026-07-05T00:20:31.677708Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:20:31.677708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wCBdJ3q2DwtUN530MzlmMeD6yEZ21BF7OkDvlPW7vglG3JbkYYVSrq1n+RP+3uyWv2kNUi9fuBVdOt8DI4liCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:20:31.678083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.02424","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6261ed607e4a4ead5750515d8da89d15d0664abfcb68d3c37e259f46b2fb34bd","sha256:f762f7e662c93a48814d440d63dcc78fa8a829d08179115f6d996c4da1d7f339"],"state_sha256":"94c503dc07f8bb8cb4d316442e0991603b583f09bd87c46974d1207ce12fb323"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8hiZ+UTlaQhIHTZOlErCeAj3OS7GHdjAuTzPA34q9GLJsFbyoqyMnnhoGkny2XP5Vsmx4lewXovyjENr39fGAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T10:16:52.389573Z","bundle_sha256":"1112e8b5b6f0db800014254d286080e3d9d89b681d5b95e83791a1024d7d7875"}}