{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:CLXZ7344LLX5KH7M7OYTKAVFJ7","short_pith_number":"pith:CLXZ7344","schema_version":"1.0","canonical_sha256":"12ef9fef9c5aefd51fecfbb13502a54fdcef61956c36dfe67de262a4e51b61b7","source":{"kind":"arxiv","id":"2301.11629","version":3},"attestation_state":"computed","paper":{"title":"A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Martijn Kool, Sergej Monavari, Yalong Cao","submitted_at":"2023-01-27T10:18:42Z","abstract_excerpt":"Let $G$ be a finite subgroup of $\\mathrm{SU}(4)$ whose elements have age not larger than one. In the first part of this paper, we define $K$-theoretic stable pair invariants on the crepant resolution of the affine quotient $\\mathbb{C}^4/G$, and conjecture closed formulae for their generating series, expressed in terms of the root system of $G$. In the second part, we define degree zero Donaldson-Thomas invariants of Calabi-Yau 4-orbifolds, develop a vertex formalism that computes the invariants in the toric case and conjecture closed formulae for the quotient stacks $[\\mathbb{C}^4/\\mathbb{Z}_r"},"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":"2301.11629","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-01-27T10:18:42Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"b6187555d8a3baff10ee7d80a1ef0fee7779acbc39c61c8f890332af677931ec","abstract_canon_sha256":"14a3a791752ea01e04e958fe2ae00eeb782274ecfd23ebeecfa3daa16a0ab6af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:50:12.415761Z","signature_b64":"gBY1AsHXbBrN2emdSpWtIE7KhbRn6wz8QvPuxlTX7KsnSbTbiyp8c7YBnuY3UmZ47K90JCagaIUMSl12xuJTAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12ef9fef9c5aefd51fecfbb13502a54fdcef61956c36dfe67de262a4e51b61b7","last_reissued_at":"2026-07-05T06:50:12.415271Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:50:12.415271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Martijn Kool, Sergej Monavari, Yalong Cao","submitted_at":"2023-01-27T10:18:42Z","abstract_excerpt":"Let $G$ be a finite subgroup of $\\mathrm{SU}(4)$ whose elements have age not larger than one. In the first part of this paper, we define $K$-theoretic stable pair invariants on the crepant resolution of the affine quotient $\\mathbb{C}^4/G$, and conjecture closed formulae for their generating series, expressed in terms of the root system of $G$. In the second part, we define degree zero Donaldson-Thomas invariants of Calabi-Yau 4-orbifolds, develop a vertex formalism that computes the invariants in the toric case and conjecture closed formulae for the quotient stacks $[\\mathbb{C}^4/\\mathbb{Z}_r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.11629","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2301.11629/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":"2301.11629","created_at":"2026-07-05T06:50:12.415339+00:00"},{"alias_kind":"arxiv_version","alias_value":"2301.11629v3","created_at":"2026-07-05T06:50:12.415339+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.11629","created_at":"2026-07-05T06:50:12.415339+00:00"},{"alias_kind":"pith_short_12","alias_value":"CLXZ7344LLX5","created_at":"2026-07-05T06:50:12.415339+00:00"},{"alias_kind":"pith_short_16","alias_value":"CLXZ7344LLX5KH7M","created_at":"2026-07-05T06:50:12.415339+00:00"},{"alias_kind":"pith_short_8","alias_value":"CLXZ7344","created_at":"2026-07-05T06:50:12.415339+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/CLXZ7344LLX5KH7M7OYTKAVFJ7","json":"https://pith.science/pith/CLXZ7344LLX5KH7M7OYTKAVFJ7.json","graph_json":"https://pith.science/api/pith-number/CLXZ7344LLX5KH7M7OYTKAVFJ7/graph.json","events_json":"https://pith.science/api/pith-number/CLXZ7344LLX5KH7M7OYTKAVFJ7/events.json","paper":"https://pith.science/paper/CLXZ7344"},"agent_actions":{"view_html":"https://pith.science/pith/CLXZ7344LLX5KH7M7OYTKAVFJ7","download_json":"https://pith.science/pith/CLXZ7344LLX5KH7M7OYTKAVFJ7.json","view_paper":"https://pith.science/paper/CLXZ7344","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2301.11629&json=true","fetch_graph":"https://pith.science/api/pith-number/CLXZ7344LLX5KH7M7OYTKAVFJ7/graph.json","fetch_events":"https://pith.science/api/pith-number/CLXZ7344LLX5KH7M7OYTKAVFJ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CLXZ7344LLX5KH7M7OYTKAVFJ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CLXZ7344LLX5KH7M7OYTKAVFJ7/action/storage_attestation","attest_author":"https://pith.science/pith/CLXZ7344LLX5KH7M7OYTKAVFJ7/action/author_attestation","sign_citation":"https://pith.science/pith/CLXZ7344LLX5KH7M7OYTKAVFJ7/action/citation_signature","submit_replication":"https://pith.science/pith/CLXZ7344LLX5KH7M7OYTKAVFJ7/action/replication_record"}},"created_at":"2026-07-05T06:50:12.415339+00:00","updated_at":"2026-07-05T06:50:12.415339+00:00"}