{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7KOHVZXJD3N535XVQAPN2MPSF6","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":"6276cc08f6d528644b3961c769cc26e9e7447a6f75fe4568d55fa1d8766680cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-10-01T08:33:16Z","title_canon_sha256":"acf303cce4b788c2ea3f7a8e37f56ecb877c6922c4cdea288366665d5e04ceaf"},"schema_version":"1.0","source":{"id":"1710.00314","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00314","created_at":"2026-05-18T00:33:55Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00314v1","created_at":"2026-05-18T00:33:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00314","created_at":"2026-05-18T00:33:55Z"},{"alias_kind":"pith_short_12","alias_value":"7KOHVZXJD3N5","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7KOHVZXJD3N535XV","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7KOHVZXJ","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:6f5c9290f337e264d18f7b0f441e290bab9f92bf179678a3e672d4be269f9798","target":"graph","created_at":"2026-05-18T00:33:55Z","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":"The monomorphism category $\\mathscr{S}(A, M, B)$ induced by a bimodule $_AM_B$ is the subcategory of $\\Lambda$-mod consisting of $\\left[\\begin{smallmatrix} X\\\\ Y\\end{smallmatrix}\\right]_{\\phi}$ such that $\\phi: M\\otimes_B Y\\rightarrow X$ is a monic $A$-map, where $\\Lambda=\\left[\\begin{smallmatrix} A&M\\\\0&B \\end{smallmatrix}\\right]$. In general, it is not the monomorphism categories induced by quivers. It could describe the Gorenstein-projective $\\m$-modules. This monomorphism category is a resolving subcategory of $\\modcat{\\Lambda}$ if and only if $M_B$ is projective. In this case, it has enou","authors_text":"Bao-Lin Xiong, Pu Zhang, Yue-Hui Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-10-01T08:33:16Z","title":"Bimodule monomorphism categories and RSS equivalences via cotilting modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00314","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:ab255eb3b1d1e24a54f71a9fbe308396e25306acff60a89863c3fb99073f9bd2","target":"record","created_at":"2026-05-18T00:33:55Z","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":"6276cc08f6d528644b3961c769cc26e9e7447a6f75fe4568d55fa1d8766680cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-10-01T08:33:16Z","title_canon_sha256":"acf303cce4b788c2ea3f7a8e37f56ecb877c6922c4cdea288366665d5e04ceaf"},"schema_version":"1.0","source":{"id":"1710.00314","kind":"arxiv","version":1}},"canonical_sha256":"fa9c7ae6e91edbddf6f5801edd31f22fad755801e17701539e381050e731bc56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa9c7ae6e91edbddf6f5801edd31f22fad755801e17701539e381050e731bc56","first_computed_at":"2026-05-18T00:33:55.164490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:55.164490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qdKqdGVNCeNXYqC0EhrToMviTrqfBltROQkCrSPxhfR+h+M6xvWeoT/7VNtTuIScacsjnRxL8t5rGYuzWPbGAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:55.164935Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.00314","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab255eb3b1d1e24a54f71a9fbe308396e25306acff60a89863c3fb99073f9bd2","sha256:6f5c9290f337e264d18f7b0f441e290bab9f92bf179678a3e672d4be269f9798"],"state_sha256":"e0b02758a8ceac9da7e887b43309b7841a185b093757db83ccc9235b595a2958"}