{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:EJ3RGHQ2PZDCX2KFK352NOTDEL","short_pith_number":"pith:EJ3RGHQ2","schema_version":"1.0","canonical_sha256":"2277131e1a7e462be94556fba6ba6322c710bb3785e0c1a1e1717c68f39eb715","source":{"kind":"arxiv","id":"1908.05748","version":2},"attestation_state":"computed","paper":{"title":"Walls for $G$-Hilb via Reid's Recipe","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ben Wormleighton","submitted_at":"2019-08-15T20:24:00Z","abstract_excerpt":"The three-dimensional McKay correspondence seeks to relate the geometry of crepant resolutions of Gorenstein $3$-fold quotient singularities $\\mathbb{A}^3/G$ with the representation theory of the group $G$. The first crepant resolution studied in depth was the $G$-Hilbert scheme $G\\text{-Hilb}\\,\\mathbb{A}^3$, which is also a moduli space of $\\theta$-stable representations of the McKay quiver associated to $G$. As the stability parameter $\\theta$ varies, we obtain many other crepant resolutions. In this paper we focus on the case where $G$ is abelian, and compute explicit inequalities for the c"},"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":"1908.05748","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2019-08-15T20:24:00Z","cross_cats_sorted":[],"title_canon_sha256":"4d049a747aa34a3100fcacd9bd7023d98c1073d62a9a25dce08e0569fc7d172c","abstract_canon_sha256":"111b58d3bbe3c3dc856d17970fd5e9cb51fe75d5d688cbd503e3dc50596a08f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:45:40.231393Z","signature_b64":"JfADIceu0ZNAnAfY9YeqHD+OSxcHcJOna14vxHNMNm+xP3wGHiqEgYBe2oDgKqLVhsO6J8wgJEDzeI0XhLrrBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2277131e1a7e462be94556fba6ba6322c710bb3785e0c1a1e1717c68f39eb715","last_reissued_at":"2026-07-05T01:45:40.230968Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:45:40.230968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Walls for $G$-Hilb via Reid's Recipe","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ben Wormleighton","submitted_at":"2019-08-15T20:24:00Z","abstract_excerpt":"The three-dimensional McKay correspondence seeks to relate the geometry of crepant resolutions of Gorenstein $3$-fold quotient singularities $\\mathbb{A}^3/G$ with the representation theory of the group $G$. The first crepant resolution studied in depth was the $G$-Hilbert scheme $G\\text{-Hilb}\\,\\mathbb{A}^3$, which is also a moduli space of $\\theta$-stable representations of the McKay quiver associated to $G$. As the stability parameter $\\theta$ varies, we obtain many other crepant resolutions. In this paper we focus on the case where $G$ is abelian, and compute explicit inequalities for the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.05748","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.05748/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1908.05748","created_at":"2026-07-05T01:45:40.231024+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.05748v2","created_at":"2026-07-05T01:45:40.231024+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.05748","created_at":"2026-07-05T01:45:40.231024+00:00"},{"alias_kind":"pith_short_12","alias_value":"EJ3RGHQ2PZDC","created_at":"2026-07-05T01:45:40.231024+00:00"},{"alias_kind":"pith_short_16","alias_value":"EJ3RGHQ2PZDCX2KF","created_at":"2026-07-05T01:45:40.231024+00:00"},{"alias_kind":"pith_short_8","alias_value":"EJ3RGHQ2","created_at":"2026-07-05T01:45:40.231024+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/EJ3RGHQ2PZDCX2KFK352NOTDEL","json":"https://pith.science/pith/EJ3RGHQ2PZDCX2KFK352NOTDEL.json","graph_json":"https://pith.science/api/pith-number/EJ3RGHQ2PZDCX2KFK352NOTDEL/graph.json","events_json":"https://pith.science/api/pith-number/EJ3RGHQ2PZDCX2KFK352NOTDEL/events.json","paper":"https://pith.science/paper/EJ3RGHQ2"},"agent_actions":{"view_html":"https://pith.science/pith/EJ3RGHQ2PZDCX2KFK352NOTDEL","download_json":"https://pith.science/pith/EJ3RGHQ2PZDCX2KFK352NOTDEL.json","view_paper":"https://pith.science/paper/EJ3RGHQ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.05748&json=true","fetch_graph":"https://pith.science/api/pith-number/EJ3RGHQ2PZDCX2KFK352NOTDEL/graph.json","fetch_events":"https://pith.science/api/pith-number/EJ3RGHQ2PZDCX2KFK352NOTDEL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EJ3RGHQ2PZDCX2KFK352NOTDEL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EJ3RGHQ2PZDCX2KFK352NOTDEL/action/storage_attestation","attest_author":"https://pith.science/pith/EJ3RGHQ2PZDCX2KFK352NOTDEL/action/author_attestation","sign_citation":"https://pith.science/pith/EJ3RGHQ2PZDCX2KFK352NOTDEL/action/citation_signature","submit_replication":"https://pith.science/pith/EJ3RGHQ2PZDCX2KFK352NOTDEL/action/replication_record"}},"created_at":"2026-07-05T01:45:40.231024+00:00","updated_at":"2026-07-05T01:45:40.231024+00:00"}