{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:5AASHEKTPBXFUCDKAJK75ARTCC","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":"5c2c7a71466a41f7bc4692845c781af547883359e898dbe0239f5d8ae2708f4a","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-07-18T17:49:59Z","title_canon_sha256":"0e159e5d16685be6b701878f4315d8920c9f76dec6d7f6c335f1c9417d563ccf"},"schema_version":"1.0","source":{"id":"hep-th/9607163","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9607163","created_at":"2026-07-04T14:32:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9607163v1","created_at":"2026-07-04T14:32:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9607163","created_at":"2026-07-04T14:32:53Z"},{"alias_kind":"pith_short_12","alias_value":"5AASHEKTPBXF","created_at":"2026-07-04T14:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"5AASHEKTPBXFUCDK","created_at":"2026-07-04T14:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"5AASHEKT","created_at":"2026-07-04T14:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:919fb8560efe2a2a942683d6270268fb285a244aa3e42c3c7364b05041c4b61a","target":"graph","created_at":"2026-07-04T14:32:53Z","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/9607163/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study four dimensional $N=2$ supersymmetric gauge theories on $R^3 \\times S^1$ with a circle of radius $R$. They interpolate between four dimensional gauge theories ($R=\\infty$) and $N=4$ supersymmetric gauge theories in three dimensions ($R=0$). The vacuum structure can be determined quite precisely as a function of $R$, agreeing with three and four-dimensional results in the two limits.","authors_text":"Edward Witten, Nathan Seiberg","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1996-07-18T17:49:59Z","title":"Gauge Dynamics And Compactification To Three Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9607163","kind":"arxiv","version":1},"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":"sha256:1878b1948015f8b551bbea5fe3863a54e2fe2bff6e04801cf0a6ab4979be5071","target":"record","created_at":"2026-07-04T14:32:53Z","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":"5c2c7a71466a41f7bc4692845c781af547883359e898dbe0239f5d8ae2708f4a","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-07-18T17:49:59Z","title_canon_sha256":"0e159e5d16685be6b701878f4315d8920c9f76dec6d7f6c335f1c9417d563ccf"},"schema_version":"1.0","source":{"id":"hep-th/9607163","kind":"arxiv","version":1}},"canonical_sha256":"e801239153786e5a086a0255fe823310840c7a41810d3f9676445d3c39186800","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e801239153786e5a086a0255fe823310840c7a41810d3f9676445d3c39186800","first_computed_at":"2026-07-04T14:32:53.641481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:32:53.641481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LX3FSFNIeo9K9iSpPKPPjGeoNh+XsF+FjwagyV+g0gH2+PrmHcqP8p3vibSfadZWD38r/qt1LKuePNpODW0jDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:32:53.641831Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9607163","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1878b1948015f8b551bbea5fe3863a54e2fe2bff6e04801cf0a6ab4979be5071","sha256:919fb8560efe2a2a942683d6270268fb285a244aa3e42c3c7364b05041c4b61a"],"state_sha256":"e2c51112a2fb4027fc926f318655211b3c3b4947df30860d169c9f6624793e90"}