{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:LCPMX4BWUD25U7WAC5LL4KYYQZ","short_pith_number":"pith:LCPMX4BW","schema_version":"1.0","canonical_sha256":"589ecbf036a0f5da7ec01756be2b18865c35a64f9a52b7f22d9126b778a4c9bd","source":{"kind":"arxiv","id":"1805.05676","version":1},"attestation_state":"computed","paper":{"title":"An Auslander-Reiten principle in derived categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Maiko Ono, Yuji Yoshino","submitted_at":"2018-05-15T09:58:40Z","abstract_excerpt":"We give a principle in derived categories, which lies behind the classical Auslander-Reiten duality and its generalized version by Iyama and Wemyss. We apply the principle to show the validity of the Auslander-Reiten conjecture over a Gorenstein ring in the case where the ring has dimension larger than two and the singular locus has at most one dimension."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1805.05676","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-05-15T09:58:40Z","cross_cats_sorted":[],"title_canon_sha256":"89bb1df72b43152de373e1891a3fa515e6c3e3b88ffc17d2fde2f25172f3f284","abstract_canon_sha256":"c62fe112f88f7bea2b683653423e76d11ea2052d8ae096b62ddbe52fdf7c961e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:59.901622Z","signature_b64":"Feq9cC5wwQ/dS586F3ql/eWfVYk8AzvoipxXggyL5A6ERCKeJRZaVZQR4PZQJQ1+JuXIHVBKY/jnJB46sSvHAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"589ecbf036a0f5da7ec01756be2b18865c35a64f9a52b7f22d9126b778a4c9bd","last_reissued_at":"2026-05-18T00:15:59.901242Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:59.901242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Auslander-Reiten principle in derived categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Maiko Ono, Yuji Yoshino","submitted_at":"2018-05-15T09:58:40Z","abstract_excerpt":"We give a principle in derived categories, which lies behind the classical Auslander-Reiten duality and its generalized version by Iyama and Wemyss. We apply the principle to show the validity of the Auslander-Reiten conjecture over a Gorenstein ring in the case where the ring has dimension larger than two and the singular locus has at most one dimension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.05676","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1805.05676","created_at":"2026-05-18T00:15:59.901303+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.05676v1","created_at":"2026-05-18T00:15:59.901303+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.05676","created_at":"2026-05-18T00:15:59.901303+00:00"},{"alias_kind":"pith_short_12","alias_value":"LCPMX4BWUD25","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"LCPMX4BWUD25U7WA","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"LCPMX4BW","created_at":"2026-05-18T12:32:33.847187+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LCPMX4BWUD25U7WAC5LL4KYYQZ","json":"https://pith.science/pith/LCPMX4BWUD25U7WAC5LL4KYYQZ.json","graph_json":"https://pith.science/api/pith-number/LCPMX4BWUD25U7WAC5LL4KYYQZ/graph.json","events_json":"https://pith.science/api/pith-number/LCPMX4BWUD25U7WAC5LL4KYYQZ/events.json","paper":"https://pith.science/paper/LCPMX4BW"},"agent_actions":{"view_html":"https://pith.science/pith/LCPMX4BWUD25U7WAC5LL4KYYQZ","download_json":"https://pith.science/pith/LCPMX4BWUD25U7WAC5LL4KYYQZ.json","view_paper":"https://pith.science/paper/LCPMX4BW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.05676&json=true","fetch_graph":"https://pith.science/api/pith-number/LCPMX4BWUD25U7WAC5LL4KYYQZ/graph.json","fetch_events":"https://pith.science/api/pith-number/LCPMX4BWUD25U7WAC5LL4KYYQZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LCPMX4BWUD25U7WAC5LL4KYYQZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LCPMX4BWUD25U7WAC5LL4KYYQZ/action/storage_attestation","attest_author":"https://pith.science/pith/LCPMX4BWUD25U7WAC5LL4KYYQZ/action/author_attestation","sign_citation":"https://pith.science/pith/LCPMX4BWUD25U7WAC5LL4KYYQZ/action/citation_signature","submit_replication":"https://pith.science/pith/LCPMX4BWUD25U7WAC5LL4KYYQZ/action/replication_record"}},"created_at":"2026-05-18T00:15:59.901303+00:00","updated_at":"2026-05-18T00:15:59.901303+00:00"}