{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:TO5I54FPQA4T6WHIMDS5SOIYGV","short_pith_number":"pith:TO5I54FP","schema_version":"1.0","canonical_sha256":"9bba8ef0af80393f58e860e5d93918355b966c7381097eb4633f57666b0165f3","source":{"kind":"arxiv","id":"1509.09031","version":3},"attestation_state":"computed","paper":{"title":"On steady non-commutative crepant resolutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.AG"],"primary_cat":"math.RT","authors_text":"Osamu Iyama, Yusuke Nakajima","submitted_at":"2015-09-30T07:12:06Z","abstract_excerpt":"We introduce special classes of non-commutative crepant resolutions (= NCCR) which we call steady and splitting. We show that a singularity has a steady splitting NCCR if and only if it is a quotient singularity by a finite abelian group. We apply our results to toric singularities and dimer models."},"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":"1509.09031","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-09-30T07:12:06Z","cross_cats_sorted":["math.AC","math.AG"],"title_canon_sha256":"3e98addbaac4f3829f87cff3cac7e84adc32e46eefa7763d252276d2649e45f2","abstract_canon_sha256":"34b44d4c286b6376fabc577cdfe706bb6483763adc01cd61c2c8767ee4517b37"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:18.529655Z","signature_b64":"1j3F0o/6Q7PwCU2zqYYgwoo4Tsddu2pJfj8RRx5Q+wpsd5xTiniRT1VdVpioUw/Vnpu2FRyPXNC1ESyIKehVCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bba8ef0af80393f58e860e5d93918355b966c7381097eb4633f57666b0165f3","last_reissued_at":"2026-05-18T00:41:18.528901Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:18.528901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On steady non-commutative crepant resolutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.AG"],"primary_cat":"math.RT","authors_text":"Osamu Iyama, Yusuke Nakajima","submitted_at":"2015-09-30T07:12:06Z","abstract_excerpt":"We introduce special classes of non-commutative crepant resolutions (= NCCR) which we call steady and splitting. We show that a singularity has a steady splitting NCCR if and only if it is a quotient singularity by a finite abelian group. We apply our results to toric singularities and dimer models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.09031","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1509.09031","created_at":"2026-05-18T00:41:18.529018+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.09031v3","created_at":"2026-05-18T00:41:18.529018+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.09031","created_at":"2026-05-18T00:41:18.529018+00:00"},{"alias_kind":"pith_short_12","alias_value":"TO5I54FPQA4T","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"TO5I54FPQA4T6WHI","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"TO5I54FP","created_at":"2026-05-18T12:29:42.218222+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/TO5I54FPQA4T6WHIMDS5SOIYGV","json":"https://pith.science/pith/TO5I54FPQA4T6WHIMDS5SOIYGV.json","graph_json":"https://pith.science/api/pith-number/TO5I54FPQA4T6WHIMDS5SOIYGV/graph.json","events_json":"https://pith.science/api/pith-number/TO5I54FPQA4T6WHIMDS5SOIYGV/events.json","paper":"https://pith.science/paper/TO5I54FP"},"agent_actions":{"view_html":"https://pith.science/pith/TO5I54FPQA4T6WHIMDS5SOIYGV","download_json":"https://pith.science/pith/TO5I54FPQA4T6WHIMDS5SOIYGV.json","view_paper":"https://pith.science/paper/TO5I54FP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.09031&json=true","fetch_graph":"https://pith.science/api/pith-number/TO5I54FPQA4T6WHIMDS5SOIYGV/graph.json","fetch_events":"https://pith.science/api/pith-number/TO5I54FPQA4T6WHIMDS5SOIYGV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TO5I54FPQA4T6WHIMDS5SOIYGV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TO5I54FPQA4T6WHIMDS5SOIYGV/action/storage_attestation","attest_author":"https://pith.science/pith/TO5I54FPQA4T6WHIMDS5SOIYGV/action/author_attestation","sign_citation":"https://pith.science/pith/TO5I54FPQA4T6WHIMDS5SOIYGV/action/citation_signature","submit_replication":"https://pith.science/pith/TO5I54FPQA4T6WHIMDS5SOIYGV/action/replication_record"}},"created_at":"2026-05-18T00:41:18.529018+00:00","updated_at":"2026-05-18T00:41:18.529018+00:00"}