{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:RVTL7OUASVATFJCEGCE5AJJO7M","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":"d85e97fba592c56577b6c9432d5a8775dcb6d48e78df2c8a93245890a44331ee","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-04-27T19:24:34Z","title_canon_sha256":"b03ffbe25ea591fcbdf4142478a890bf534ae4257dd93b610f674de3407f45bc"},"schema_version":"1.0","source":{"id":"hep-th/9904191","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9904191","created_at":"2026-07-04T15:50:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9904191v1","created_at":"2026-07-04T15:50:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9904191","created_at":"2026-07-04T15:50:00Z"},{"alias_kind":"pith_short_12","alias_value":"RVTL7OUASVAT","created_at":"2026-07-04T15:50:00Z"},{"alias_kind":"pith_short_16","alias_value":"RVTL7OUASVATFJCE","created_at":"2026-07-04T15:50:00Z"},{"alias_kind":"pith_short_8","alias_value":"RVTL7OUA","created_at":"2026-07-04T15:50:00Z"}],"graph_snapshots":[{"event_id":"sha256:6b6b7e7035c400a7512b7ab951e8fcb3a8936a8800b8eb8e131dc87f7ccc6b7a","target":"graph","created_at":"2026-07-04T15:50:00Z","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/9904191/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The AdS/CFT correspondence suggests that the Wilson loop of the large N gauge theory with N=4 supersymmetry in 4 dimensions is described by a minimal surface in AdS_5 x S^5. We examine various aspects of this proposal, comparing gauge theory expectations with computations of minimal surfaces. There is a distinguished class of loops, which we call BPS loops, whose expectation values are free from ultra-violet divergence. We formulate the loop equation for such loops. To the extent that we have checked, the minimal surface in AdS_5 x S^5 gives a solution of the equation. We also discuss the zig-","authors_text":"David J. Gross, Hirosi Ooguri, Nadav Drukker","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-04-27T19:24:34Z","title":"Wilson Loops and Minimal Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9904191","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":"sha256:2f56d00e87c51ce6b45e2c3a2d83581da34eda4d40acffad2b38ae02d7da377a","target":"record","created_at":"2026-07-04T15:50:00Z","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":"d85e97fba592c56577b6c9432d5a8775dcb6d48e78df2c8a93245890a44331ee","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-04-27T19:24:34Z","title_canon_sha256":"b03ffbe25ea591fcbdf4142478a890bf534ae4257dd93b610f674de3407f45bc"},"schema_version":"1.0","source":{"id":"hep-th/9904191","kind":"arxiv","version":1}},"canonical_sha256":"8d66bfba80954132a4443089d0252efb1c5f5886aacb17036c42d7842df038dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d66bfba80954132a4443089d0252efb1c5f5886aacb17036c42d7842df038dd","first_computed_at":"2026-07-04T15:50:00.231336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:50:00.231336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VkBeis2OcE2kNfiVoIvqR3Jt1nRNO7gK5mKI0GP5yFUrZR9vclXYsBELpbMvG9+i+QcIMMAcSFd9kYWFjysoDg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:50:00.231760Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9904191","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f56d00e87c51ce6b45e2c3a2d83581da34eda4d40acffad2b38ae02d7da377a","sha256:6b6b7e7035c400a7512b7ab951e8fcb3a8936a8800b8eb8e131dc87f7ccc6b7a"],"state_sha256":"26d907f289ca31b6a1ce5f679f8180d5fe505879adb9f81747f3a4e7d13f2460"}