{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:MX3S7APTWOOWLRYGTFXXVLR4UL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"25e915e2e81aaf052fa89ab240abf73db3412aea059fee2b5d9e18feb816a410","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-11-04T18:17:15Z","title_canon_sha256":"2b9c765706399083936d8b6e420219a802187823127b26694359e7390fbcd35e"},"schema_version":"1.0","source":{"id":"hep-th/0311024","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0311024","created_at":"2026-07-04T16:41:27Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0311024v2","created_at":"2026-07-04T16:41:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0311024","created_at":"2026-07-04T16:41:27Z"},{"alias_kind":"pith_short_12","alias_value":"MX3S7APTWOOW","created_at":"2026-07-04T16:41:27Z"},{"alias_kind":"pith_short_16","alias_value":"MX3S7APTWOOWLRYG","created_at":"2026-07-04T16:41:27Z"},{"alias_kind":"pith_short_8","alias_value":"MX3S7APT","created_at":"2026-07-04T16:41:27Z"}],"graph_snapshots":[{"event_id":"sha256:537b213cca341ee19f23843a7d7255fede17645c0c2d82be42002e53a98ceb57","target":"graph","created_at":"2026-07-04T16:41:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0311024/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze the Seiberg-Witten curve of the six-dimensional N=(1,1) gauge theory compactified on a torus to four dimensions. The effective theory in four dimensions is a deformation of the N=2* theory. The curve is naturally holomorphically embedding in a slanted four-torus--actually an abelian surface--a set-up that is natural in Witten's M-theory construction of N=2 theories. We then show that the curve can be interpreted as the spectral curve of an integrable system which generalizes the N-body elliptic Calogero-Moser and Ruijsenaars-Schneider systems in that both the positions and momenta t","authors_text":"Harry W. Braden, Timothy J. Hollowood","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-11-04T18:17:15Z","title":"The Curve of Compactified 6D Gauge Theories and Integrable Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0311024","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:98b1536d8ca615fe994c43372542db8248eef5cefc632a7eefb3b2f1ca8a38dd","target":"record","created_at":"2026-07-04T16:41:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"25e915e2e81aaf052fa89ab240abf73db3412aea059fee2b5d9e18feb816a410","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-11-04T18:17:15Z","title_canon_sha256":"2b9c765706399083936d8b6e420219a802187823127b26694359e7390fbcd35e"},"schema_version":"1.0","source":{"id":"hep-th/0311024","kind":"arxiv","version":2}},"canonical_sha256":"65f72f81f3b39d65c706996f7aae3ca2db433a3b91cede2a5483c7b6c6c38991","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65f72f81f3b39d65c706996f7aae3ca2db433a3b91cede2a5483c7b6c6c38991","first_computed_at":"2026-07-04T16:41:27.058743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:27.058743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XEzmdDsng51cWSpcZtlRupTeaoqmp7cVtP7vL1CtemFGGYmToqJDZAu3bEBy4ITKHvbj0Cpbk6uMpCERi1s2BQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:27.059174Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0311024","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98b1536d8ca615fe994c43372542db8248eef5cefc632a7eefb3b2f1ca8a38dd","sha256:537b213cca341ee19f23843a7d7255fede17645c0c2d82be42002e53a98ceb57"],"state_sha256":"1c11d186c68ff4ec2ac43f974174efb166f9f48563b84364885c9f22d0d795b6"}