{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:LA7KNM5QHS4JCHDQTNLC7WSLZR","short_pith_number":"pith:LA7KNM5Q","schema_version":"1.0","canonical_sha256":"583ea6b3b03cb8911c709b562fda4bcc71988e34b7a38e0126e17fff133a7d1e","source":{"kind":"arxiv","id":"2104.06492","version":1},"attestation_state":"computed","paper":{"title":"Topological correlators of $SU(2)$, $\\mathcal{N}=2^*$ SYM on four-manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DG","math.NT"],"primary_cat":"hep-th","authors_text":"Gregory W. Moore, Jan Manschot","submitted_at":"2021-04-13T20:15:42Z","abstract_excerpt":"We consider topologically twisted $\\mathcal{N}=2$, $SU(2)$ gauge theory with a massive adjoint hypermultiplet on a smooth, compact four-manifold $X$. A consistent formulation requires coupling the theory to a ${\\rm Spin}^c$ structure, which is necessarily non-trivial if $X$ is non-spin. We derive explicit formulae for the topological correlation functions when $b_2^+\\geq 1$. We demonstrate that, when the ${\\rm Spin}^c$ structure is canonically determined by an almost complex structure and the mass is taken to zero, the path integral reproduces known results for the path integral of the $\\mathc"},"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":"2104.06492","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-04-13T20:15:42Z","cross_cats_sorted":["math.DG","math.NT"],"title_canon_sha256":"8c4fc6c670e887420b92086b16afacb8960747ce2a972de3c7b7715fced2f1b8","abstract_canon_sha256":"e6ce6cf3b6e0ff8edebbcaa63d6188156beab9ccc83ff8316e4f2fd159603a73"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:33:09.071464Z","signature_b64":"Uj+9tQG2z2GZSeQJPiGIFCC3v6Zec6VI5zOSu1iJJIZwgLWoKz2g4hPdXAzEGv56puTy2wmC4GMw2/zDDy1uDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"583ea6b3b03cb8911c709b562fda4bcc71988e34b7a38e0126e17fff133a7d1e","last_reissued_at":"2026-07-05T02:33:09.071042Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:33:09.071042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological correlators of $SU(2)$, $\\mathcal{N}=2^*$ SYM on four-manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DG","math.NT"],"primary_cat":"hep-th","authors_text":"Gregory W. Moore, Jan Manschot","submitted_at":"2021-04-13T20:15:42Z","abstract_excerpt":"We consider topologically twisted $\\mathcal{N}=2$, $SU(2)$ gauge theory with a massive adjoint hypermultiplet on a smooth, compact four-manifold $X$. A consistent formulation requires coupling the theory to a ${\\rm Spin}^c$ structure, which is necessarily non-trivial if $X$ is non-spin. We derive explicit formulae for the topological correlation functions when $b_2^+\\geq 1$. We demonstrate that, when the ${\\rm Spin}^c$ structure is canonically determined by an almost complex structure and the mass is taken to zero, the path integral reproduces known results for the path integral of the $\\mathc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.06492","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2104.06492/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":"2104.06492","created_at":"2026-07-05T02:33:09.071092+00:00"},{"alias_kind":"arxiv_version","alias_value":"2104.06492v1","created_at":"2026-07-05T02:33:09.071092+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.06492","created_at":"2026-07-05T02:33:09.071092+00:00"},{"alias_kind":"pith_short_12","alias_value":"LA7KNM5QHS4J","created_at":"2026-07-05T02:33:09.071092+00:00"},{"alias_kind":"pith_short_16","alias_value":"LA7KNM5QHS4JCHDQ","created_at":"2026-07-05T02:33:09.071092+00:00"},{"alias_kind":"pith_short_8","alias_value":"LA7KNM5Q","created_at":"2026-07-05T02:33:09.071092+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/LA7KNM5QHS4JCHDQTNLC7WSLZR","json":"https://pith.science/pith/LA7KNM5QHS4JCHDQTNLC7WSLZR.json","graph_json":"https://pith.science/api/pith-number/LA7KNM5QHS4JCHDQTNLC7WSLZR/graph.json","events_json":"https://pith.science/api/pith-number/LA7KNM5QHS4JCHDQTNLC7WSLZR/events.json","paper":"https://pith.science/paper/LA7KNM5Q"},"agent_actions":{"view_html":"https://pith.science/pith/LA7KNM5QHS4JCHDQTNLC7WSLZR","download_json":"https://pith.science/pith/LA7KNM5QHS4JCHDQTNLC7WSLZR.json","view_paper":"https://pith.science/paper/LA7KNM5Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2104.06492&json=true","fetch_graph":"https://pith.science/api/pith-number/LA7KNM5QHS4JCHDQTNLC7WSLZR/graph.json","fetch_events":"https://pith.science/api/pith-number/LA7KNM5QHS4JCHDQTNLC7WSLZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LA7KNM5QHS4JCHDQTNLC7WSLZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LA7KNM5QHS4JCHDQTNLC7WSLZR/action/storage_attestation","attest_author":"https://pith.science/pith/LA7KNM5QHS4JCHDQTNLC7WSLZR/action/author_attestation","sign_citation":"https://pith.science/pith/LA7KNM5QHS4JCHDQTNLC7WSLZR/action/citation_signature","submit_replication":"https://pith.science/pith/LA7KNM5QHS4JCHDQTNLC7WSLZR/action/replication_record"}},"created_at":"2026-07-05T02:33:09.071092+00:00","updated_at":"2026-07-05T02:33:09.071092+00:00"}