{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:R2CHXUUV7GG5BOC7SQB2DAQABN","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":"e65e13b319ed9a08a548b2a27bf4700f63458affe22e777a6eb59876e81afa24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2024-11-26T16:47:38Z","title_canon_sha256":"548f7d87eff3dfc207e5576523b0481fefbb3a23095219e7b8b20fc441d53f47"},"schema_version":"1.0","source":{"id":"2411.17581","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17581","created_at":"2026-07-05T09:40:49Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17581v1","created_at":"2026-07-05T09:40:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17581","created_at":"2026-07-05T09:40:49Z"},{"alias_kind":"pith_short_12","alias_value":"R2CHXUUV7GG5","created_at":"2026-07-05T09:40:49Z"},{"alias_kind":"pith_short_16","alias_value":"R2CHXUUV7GG5BOC7","created_at":"2026-07-05T09:40:49Z"},{"alias_kind":"pith_short_8","alias_value":"R2CHXUUV","created_at":"2026-07-05T09:40:49Z"}],"graph_snapshots":[{"event_id":"sha256:58a935ac3d9d22463212f28907d70be207b3722746c4d96f0e41aaa6c17ec0e2","target":"graph","created_at":"2026-07-05T09:40:49Z","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/2411.17581/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the conditions under which a TTF class in a module category over a ring is silting. Using the correspondence between idempotent ideals over a ring and TTF classes in the module category, we focus on finding the necessary and sufficient conditions for $R/I$ to be a silting $R$-module, and hence for the TTF class $\\mathbf{Gen}(R/I)$ to be silting, where $I$ is an idempotent two-sided ideal of $R$. In our main result, we show that $R/I$ is a silting module whenever $I$ is the trace of a projective $R$-module. Furthermore, we demonstrate that the converse holds for a broad class of rings,","authors_text":"Alejandro Argudin-Monroy, Carlos E. Parra, Daniel Bravo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2024-11-26T16:47:38Z","title":"TTF classes generated by silting modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17581","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":"sha256:834ce8aa040ce1f279d735221ae36298c0c8274be1e6bbd7d9f1a4b23a7b9940","target":"record","created_at":"2026-07-05T09:40:49Z","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":"e65e13b319ed9a08a548b2a27bf4700f63458affe22e777a6eb59876e81afa24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2024-11-26T16:47:38Z","title_canon_sha256":"548f7d87eff3dfc207e5576523b0481fefbb3a23095219e7b8b20fc441d53f47"},"schema_version":"1.0","source":{"id":"2411.17581","kind":"arxiv","version":1}},"canonical_sha256":"8e847bd295f98dd0b85f9403a182000b72139bec0e7152e5e1eebbd7efc447c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e847bd295f98dd0b85f9403a182000b72139bec0e7152e5e1eebbd7efc447c3","first_computed_at":"2026-07-05T09:40:49.291407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:40:49.291407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z7D/zZSjP0AkLAUEV0aji2T0k/dVXD3FD8CPEmHmRt7ouDNW7uKBbmF4IuWDC/hg4M1tAF7ruDhT2iJ1XzqSBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:40:49.291907Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.17581","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:834ce8aa040ce1f279d735221ae36298c0c8274be1e6bbd7d9f1a4b23a7b9940","sha256:58a935ac3d9d22463212f28907d70be207b3722746c4d96f0e41aaa6c17ec0e2"],"state_sha256":"6f29ee288febf6b20f3147ca943209eb61abec870eaadfdd3a04a5917e1973e6"}