{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:YRT2WQBHLRAHIAATHVOC3H4Q4R","short_pith_number":"pith:YRT2WQBH","schema_version":"1.0","canonical_sha256":"c467ab40275c407400133d5c2d9f90e455c1d05a204b27d67848f64d672329bb","source":{"kind":"arxiv","id":"hep-th/9411102","version":1},"attestation_state":"computed","paper":{"title":"Monopoles and Four-Manifolds","license":"","headline":"","cross_cats":["alg-geom","dg-ga","math.AG","math.DG"],"primary_cat":"hep-th","authors_text":"Edward Witten","submitted_at":"1994-11-15T02:09:04Z","abstract_excerpt":"Recent developments in the understanding of $N=2$ supersymmetric Yang-Mills theory in four dimensions suggest a new point of view about Donaldson theory of four manifolds: instead of defining four-manifold invariants by counting $SU(2)$ instantons, one can define equivalent four-manifold invariants by counting solutions of a non-linear equation with an abelian gauge group. This is a ``dual'' equation in which the gauge group is the dual of the maximal torus of $SU(2)$. The new viewpoint suggests many new results about the Donaldson invariants."},"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":"hep-th/9411102","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-11-15T02:09:04Z","cross_cats_sorted":["alg-geom","dg-ga","math.AG","math.DG"],"title_canon_sha256":"d2085d3a911644f0fe561ee0e696b07f1d48ce2c7fa0ae3299157c6a8b50dd4e","abstract_canon_sha256":"973b8cf7afc9846ef5c7abb0d4d33edcc46119118f9d597d02f5fe57decb5352"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:25:46.686291Z","signature_b64":"Ajz0Uue7I9zNAmjmvn07BBF6CyWJK7/ltdBfgnk1l2z9ukE+hPCCCpzbA02q1ewyKfGZq4a1TyNgdtBbBTzfCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c467ab40275c407400133d5c2d9f90e455c1d05a204b27d67848f64d672329bb","last_reissued_at":"2026-07-04T17:25:46.685908Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:25:46.685908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Monopoles and Four-Manifolds","license":"","headline":"","cross_cats":["alg-geom","dg-ga","math.AG","math.DG"],"primary_cat":"hep-th","authors_text":"Edward Witten","submitted_at":"1994-11-15T02:09:04Z","abstract_excerpt":"Recent developments in the understanding of $N=2$ supersymmetric Yang-Mills theory in four dimensions suggest a new point of view about Donaldson theory of four manifolds: instead of defining four-manifold invariants by counting $SU(2)$ instantons, one can define equivalent four-manifold invariants by counting solutions of a non-linear equation with an abelian gauge group. This is a ``dual'' equation in which the gauge group is the dual of the maximal torus of $SU(2)$. The new viewpoint suggests many new results about the Donaldson invariants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9411102","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/hep-th/9411102/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":"hep-th/9411102","created_at":"2026-07-04T17:25:46.685968+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9411102v1","created_at":"2026-07-04T17:25:46.685968+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9411102","created_at":"2026-07-04T17:25:46.685968+00:00"},{"alias_kind":"pith_short_12","alias_value":"YRT2WQBHLRAH","created_at":"2026-07-04T17:25:46.685968+00:00"},{"alias_kind":"pith_short_16","alias_value":"YRT2WQBHLRAHIAAT","created_at":"2026-07-04T17:25:46.685968+00:00"},{"alias_kind":"pith_short_8","alias_value":"YRT2WQBH","created_at":"2026-07-04T17:25:46.685968+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.09105","citing_title":"Generalized Families of QFTs","ref_index":139,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YRT2WQBHLRAHIAATHVOC3H4Q4R","json":"https://pith.science/pith/YRT2WQBHLRAHIAATHVOC3H4Q4R.json","graph_json":"https://pith.science/api/pith-number/YRT2WQBHLRAHIAATHVOC3H4Q4R/graph.json","events_json":"https://pith.science/api/pith-number/YRT2WQBHLRAHIAATHVOC3H4Q4R/events.json","paper":"https://pith.science/paper/YRT2WQBH"},"agent_actions":{"view_html":"https://pith.science/pith/YRT2WQBHLRAHIAATHVOC3H4Q4R","download_json":"https://pith.science/pith/YRT2WQBHLRAHIAATHVOC3H4Q4R.json","view_paper":"https://pith.science/paper/YRT2WQBH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9411102&json=true","fetch_graph":"https://pith.science/api/pith-number/YRT2WQBHLRAHIAATHVOC3H4Q4R/graph.json","fetch_events":"https://pith.science/api/pith-number/YRT2WQBHLRAHIAATHVOC3H4Q4R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YRT2WQBHLRAHIAATHVOC3H4Q4R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YRT2WQBHLRAHIAATHVOC3H4Q4R/action/storage_attestation","attest_author":"https://pith.science/pith/YRT2WQBHLRAHIAATHVOC3H4Q4R/action/author_attestation","sign_citation":"https://pith.science/pith/YRT2WQBHLRAHIAATHVOC3H4Q4R/action/citation_signature","submit_replication":"https://pith.science/pith/YRT2WQBHLRAHIAATHVOC3H4Q4R/action/replication_record"}},"created_at":"2026-07-04T17:25:46.685968+00:00","updated_at":"2026-07-04T17:25:46.685968+00:00"}