{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:PLKOKPA5R5XBLIGEYNLIPSDIJZ","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":"85b118d932795305796f0047c05c3b8f81d5227746bf4a3bd2401ca7484d9b4c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-07-15T13:41:51Z","title_canon_sha256":"9c394008639591bc861927390f03de7452c8cc66e64314e0134457af5595aeb7"},"schema_version":"1.0","source":{"id":"hep-th/9907123","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9907123","created_at":"2026-07-04T14:33:29Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9907123v2","created_at":"2026-07-04T14:33:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9907123","created_at":"2026-07-04T14:33:29Z"},{"alias_kind":"pith_short_12","alias_value":"PLKOKPA5R5XB","created_at":"2026-07-04T14:33:29Z"},{"alias_kind":"pith_short_16","alias_value":"PLKOKPA5R5XBLIGE","created_at":"2026-07-04T14:33:29Z"},{"alias_kind":"pith_short_8","alias_value":"PLKOKPA5","created_at":"2026-07-04T14:33:29Z"}],"graph_snapshots":[{"event_id":"sha256:3e371cc0dad6c688fe5ed46e5ce2b8e5764706b92d17d6f677e26b568279b6b8","target":"graph","created_at":"2026-07-04T14:33:29Z","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/9907123/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This thesis presents a thorough analysis of the links between the N=4 supersymmetric gauge theory in four dimensions and its three topological twisted counterparts. Special emphasis is put in deriving explicit results in terms of the vacuum structure and low-energy effective description of four-dimensional supersymmetric gauge theories. A key ingredient is the realization of Montonten-Olive duality in the twisted theories, which is discussed in detail from different viewpoints.","authors_text":"Carlos Lozano","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-07-15T13:41:51Z","title":"Duality in Topological Quantum Field Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9907123","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:c66f7ef5465beac5b275835bd667b161d7041760459f03fc483bb741c2c942b7","target":"record","created_at":"2026-07-04T14:33:29Z","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":"85b118d932795305796f0047c05c3b8f81d5227746bf4a3bd2401ca7484d9b4c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-07-15T13:41:51Z","title_canon_sha256":"9c394008639591bc861927390f03de7452c8cc66e64314e0134457af5595aeb7"},"schema_version":"1.0","source":{"id":"hep-th/9907123","kind":"arxiv","version":2}},"canonical_sha256":"7ad4e53c1d8f6e15a0c4c35687c8684e6bee568ebbcd728fa79983aba2d1df3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ad4e53c1d8f6e15a0c4c35687c8684e6bee568ebbcd728fa79983aba2d1df3b","first_computed_at":"2026-07-04T14:33:29.344978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:33:29.344978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LH2NonGFrHchq4/PapYkpUTDkQ3TJgaaJD5QJTnB4woo5yf2jPPt8JAvoaJOclJhDGMIhKpLcV9vjUWYPCGeBA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:33:29.345375Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9907123","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c66f7ef5465beac5b275835bd667b161d7041760459f03fc483bb741c2c942b7","sha256:3e371cc0dad6c688fe5ed46e5ce2b8e5764706b92d17d6f677e26b568279b6b8"],"state_sha256":"2ac48bd16cd02b6fe8e543ddc678676b04fac0a81f7963f93c07d30ab419396d"}