{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IWLINXUWLL5NRP5FCO5VPK43FK","short_pith_number":"pith:IWLINXUW","canonical_record":{"source":{"id":"1708.08168","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-28T02:44:09Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"2a419c716144edb7a8ab92d149f01e409aaff10d7cd55c7db22cb651b1ee31ff","abstract_canon_sha256":"611b86095410e85904e3396894bb341ccf06147ea34e6e81a434ea99482498ad"},"schema_version":"1.0"},"canonical_sha256":"459686de965afad8bfa513bb57ab9b2ab65670968fa623e170235108eec08689","source":{"kind":"arxiv","id":"1708.08168","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08168","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08168v3","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08168","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"pith_short_12","alias_value":"IWLINXUWLL5N","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IWLINXUWLL5NRP5F","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IWLINXUW","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IWLINXUWLL5NRP5FCO5VPK43FK","target":"record","payload":{"canonical_record":{"source":{"id":"1708.08168","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-28T02:44:09Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"2a419c716144edb7a8ab92d149f01e409aaff10d7cd55c7db22cb651b1ee31ff","abstract_canon_sha256":"611b86095410e85904e3396894bb341ccf06147ea34e6e81a434ea99482498ad"},"schema_version":"1.0"},"canonical_sha256":"459686de965afad8bfa513bb57ab9b2ab65670968fa623e170235108eec08689","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:19.958909Z","signature_b64":"rgdHLM6pxvKLdEid5y8y79Ee+MBuXuuHFnH0HOMtoJN5EZHjLKa/B5kTP0zTx8MpnPSiQC0sQWiQbqAuhTsfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"459686de965afad8bfa513bb57ab9b2ab65670968fa623e170235108eec08689","last_reissued_at":"2026-05-18T00:09:19.958260Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:19.958260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.08168","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:09:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tUo4DmYfeWpbFyVp9Njiieq3uVcRdiubwG12w278Vo54yY+Ek3l6eKs0Q0h5Zu4eQpzPLvBS3YXgw1z25J/KCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:28:53.263485Z"},"content_sha256":"03838834eb7049ad63db091b46c2a70a63d09a71890e5ba10a2451650394cfd6","schema_version":"1.0","event_id":"sha256:03838834eb7049ad63db091b46c2a70a63d09a71890e5ba10a2451650394cfd6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IWLINXUWLL5NRP5FCO5VPK43FK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discreteness of silting objects and t-structures in triangulated categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.RT","authors_text":"Dong Yang, Takahide Adachi, Yuya Mizuno","submitted_at":"2017-08-28T02:44:09Z","abstract_excerpt":"We introduce the notion of ST-pairs of triangulated subcategories, a prototypical example of which is the pair of the bound homotopy category and the bound derived category of a finite-dimensional algebra. For an ST-pair $(\\C,\\D)$, we construct an order-preserving map from silting objects in $\\C$ to bounded $t$-structures on $\\D$ and show that the map is bijective if and only if $\\C$ is silting-discrete if and only if $\\D$ is $t$-discrete. Based on a work of Qiu and Woolf, the above result is applied to show that if $\\C$ is silting-discrete then the stability space of $\\D$ is contractible. Thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08168","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:09:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6aDB4KxznNMX+JL48Pig1EviM3IhicXNIG16EfVUXBrYeIDS57y98oY8MGpuQ5fYwiM784mu9Z7rcgVPdmXgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:28:53.264151Z"},"content_sha256":"dc4f8fbd0df197882be5694e28a87f44ec1db426a6268d1aaca8866368672701","schema_version":"1.0","event_id":"sha256:dc4f8fbd0df197882be5694e28a87f44ec1db426a6268d1aaca8866368672701"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IWLINXUWLL5NRP5FCO5VPK43FK/bundle.json","state_url":"https://pith.science/pith/IWLINXUWLL5NRP5FCO5VPK43FK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IWLINXUWLL5NRP5FCO5VPK43FK/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":"2026-05-29T17:28:53Z","links":{"resolver":"https://pith.science/pith/IWLINXUWLL5NRP5FCO5VPK43FK","bundle":"https://pith.science/pith/IWLINXUWLL5NRP5FCO5VPK43FK/bundle.json","state":"https://pith.science/pith/IWLINXUWLL5NRP5FCO5VPK43FK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IWLINXUWLL5NRP5FCO5VPK43FK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IWLINXUWLL5NRP5FCO5VPK43FK","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":"611b86095410e85904e3396894bb341ccf06147ea34e6e81a434ea99482498ad","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-28T02:44:09Z","title_canon_sha256":"2a419c716144edb7a8ab92d149f01e409aaff10d7cd55c7db22cb651b1ee31ff"},"schema_version":"1.0","source":{"id":"1708.08168","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08168","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08168v3","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08168","created_at":"2026-05-18T00:09:19Z"},{"alias_kind":"pith_short_12","alias_value":"IWLINXUWLL5N","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IWLINXUWLL5NRP5F","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IWLINXUW","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:dc4f8fbd0df197882be5694e28a87f44ec1db426a6268d1aaca8866368672701","target":"graph","created_at":"2026-05-18T00:09:19Z","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":"We introduce the notion of ST-pairs of triangulated subcategories, a prototypical example of which is the pair of the bound homotopy category and the bound derived category of a finite-dimensional algebra. For an ST-pair $(\\C,\\D)$, we construct an order-preserving map from silting objects in $\\C$ to bounded $t$-structures on $\\D$ and show that the map is bijective if and only if $\\C$ is silting-discrete if and only if $\\D$ is $t$-discrete. Based on a work of Qiu and Woolf, the above result is applied to show that if $\\C$ is silting-discrete then the stability space of $\\D$ is contractible. Thi","authors_text":"Dong Yang, Takahide Adachi, Yuya Mizuno","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-28T02:44:09Z","title":"Discreteness of silting objects and t-structures in triangulated categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08168","kind":"arxiv","version":3},"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":"sha256:03838834eb7049ad63db091b46c2a70a63d09a71890e5ba10a2451650394cfd6","target":"record","created_at":"2026-05-18T00:09:19Z","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":"611b86095410e85904e3396894bb341ccf06147ea34e6e81a434ea99482498ad","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-08-28T02:44:09Z","title_canon_sha256":"2a419c716144edb7a8ab92d149f01e409aaff10d7cd55c7db22cb651b1ee31ff"},"schema_version":"1.0","source":{"id":"1708.08168","kind":"arxiv","version":3}},"canonical_sha256":"459686de965afad8bfa513bb57ab9b2ab65670968fa623e170235108eec08689","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"459686de965afad8bfa513bb57ab9b2ab65670968fa623e170235108eec08689","first_computed_at":"2026-05-18T00:09:19.958260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:19.958260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rgdHLM6pxvKLdEid5y8y79Ee+MBuXuuHFnH0HOMtoJN5EZHjLKa/B5kTP0zTx8MpnPSiQC0sQWiQbqAuhTsfCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:19.958909Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.08168","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03838834eb7049ad63db091b46c2a70a63d09a71890e5ba10a2451650394cfd6","sha256:dc4f8fbd0df197882be5694e28a87f44ec1db426a6268d1aaca8866368672701"],"state_sha256":"f3cb6f822e54b4452d5b5d4b1df7df2407c0c82fbd842900c4fe970ca23a0b80"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X70P15CRS9ujE9rXUOi6XXykbC6AAf+9pslAUs2COwpyjQOKlpXnvAVxCLj5IE5uXF1WPpbS3MYbwzEYTgqDCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T17:28:53.267452Z","bundle_sha256":"ca06c9909f9cb832831a6d6a64d3604d50dcbf861a9d014c9f45731bd0ac82f9"}}