{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:D73UFGOOJXIIRESB2JZPRWKY6J","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":"5ff348c5fdabaf16232bea86bcc770cc5593d99156a54f98ed23c1b5a00fc3b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-12-15T09:58:25Z","title_canon_sha256":"391dbd8a8c5ffca423a74bda3563c490cc7f947ffeb61922a456652324ac2554"},"schema_version":"1.0","source":{"id":"1512.04700","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04700","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04700v5","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04700","created_at":"2026-05-18T00:11:32Z"},{"alias_kind":"pith_short_12","alias_value":"D73UFGOOJXII","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D73UFGOOJXIIRESB","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D73UFGOO","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:98e12e4fe1aa33d7992c87c05124c2acaccba0d5be83e567a89a381e1e2b677f","target":"graph","created_at":"2026-05-18T00:11:32Z","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 noncompact (partial) silting and (partial) tilting sets and objects in any triangulated category D with arbitrary (set-indexed) coproducts. We show that equivalence classes of partial silting sets are in bijection with t-structures generated by their co-heart whose heart has a generator, and in case D is compactly generated, this bijection restricts to one between equivalence classes of self-small partially silting objects and left nondegenerate t-structures in D whose heart is a module category and whose associated cohomological functor preserves products.\n  We desc","authors_text":"Alexandra Zvonareva, Manuel Saorin, Pedro Nicolas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-12-15T09:58:25Z","title":"Silting Theory in triangulated categories with coproducts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04700","kind":"arxiv","version":5},"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:da91351a9dffd4241d421715ae1defc214c0bf5b8ff74d1a400697331f2fa0c6","target":"record","created_at":"2026-05-18T00:11:32Z","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":"5ff348c5fdabaf16232bea86bcc770cc5593d99156a54f98ed23c1b5a00fc3b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-12-15T09:58:25Z","title_canon_sha256":"391dbd8a8c5ffca423a74bda3563c490cc7f947ffeb61922a456652324ac2554"},"schema_version":"1.0","source":{"id":"1512.04700","kind":"arxiv","version":5}},"canonical_sha256":"1ff74299ce4dd0889241d272f8d958f25081e0416213bc5a47c96f9d5c55759d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ff74299ce4dd0889241d272f8d958f25081e0416213bc5a47c96f9d5c55759d","first_computed_at":"2026-05-18T00:11:32.765333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:32.765333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tSdXMVrJab4mlFs7iVIj7/AVk9zzvIPX2Fuc8Zj7ywZrpXrC7DHOWP5fNAPZLZZgAFSnbW2rUtkF6tiXJ1B5BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:32.765906Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.04700","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da91351a9dffd4241d421715ae1defc214c0bf5b8ff74d1a400697331f2fa0c6","sha256:98e12e4fe1aa33d7992c87c05124c2acaccba0d5be83e567a89a381e1e2b677f"],"state_sha256":"b91d4fc01ef691667890c771945bfd13b0ac8e19f1fd93edc33ace6d8f0be283"}