{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:7EHHWAUOFTMQDPYX7TPO4T74EO","short_pith_number":"pith:7EHHWAUO","canonical_record":{"source":{"id":"1105.2568","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-12T20:02:56Z","cross_cats_sorted":[],"title_canon_sha256":"269792d6675abcf2f64c1482277ba07bc3c589e5db7f370bf3c1bc909c434f37","abstract_canon_sha256":"704a6f41b0c9a897660b525b7fceb73c70908655caa68dbad5b1ce4b5e016305"},"schema_version":"1.0"},"canonical_sha256":"f90e7b028e2cd901bf17fcdeee4ffc239101d2910f621cedf186e77a5871f8b4","source":{"kind":"arxiv","id":"1105.2568","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2568","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2568v1","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2568","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"pith_short_12","alias_value":"7EHHWAUOFTMQ","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7EHHWAUOFTMQDPYX","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7EHHWAUO","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:7EHHWAUOFTMQDPYX7TPO4T74EO","target":"record","payload":{"canonical_record":{"source":{"id":"1105.2568","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-12T20:02:56Z","cross_cats_sorted":[],"title_canon_sha256":"269792d6675abcf2f64c1482277ba07bc3c589e5db7f370bf3c1bc909c434f37","abstract_canon_sha256":"704a6f41b0c9a897660b525b7fceb73c70908655caa68dbad5b1ce4b5e016305"},"schema_version":"1.0"},"canonical_sha256":"f90e7b028e2cd901bf17fcdeee4ffc239101d2910f621cedf186e77a5871f8b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:58.909787Z","signature_b64":"rzg9EJjRIP5ODbgMRRTy/zLMge/wLUBIFBNe4xmuhBM6lCvf1ffvoLJD8hyERAOqRmZwSu4pExxL1Oc8v8ZxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f90e7b028e2cd901bf17fcdeee4ffc239101d2910f621cedf186e77a5871f8b4","last_reissued_at":"2026-05-18T02:01:58.909253Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:58.909253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.2568","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:01:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yEBdnlRfUL6C3D6RqJX1f8kvt4ScyAC9Oa1x33rLRhLfl4lwEDYy+DmI70PqraQQ40x7MvzF61EVaXlEaV1ZAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:05:21.919794Z"},"content_sha256":"def22bdae0c23ad69a3d8ea2e3671b6dc9149b6315e28f74538abf312d496c4b","schema_version":"1.0","event_id":"sha256:def22bdae0c23ad69a3d8ea2e3671b6dc9149b6315e28f74538abf312d496c4b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:7EHHWAUOFTMQDPYX7TPO4T74EO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Results for 't Hooft Loops in Gauge Theories on S^4","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jaume Gomis, Takuya Okuda, Vasily Pestun","submitted_at":"2011-05-12T20:02:56Z","abstract_excerpt":"The path integral of a general N=2 supersymmetric gauge theory on S^4 is exactly evaluated in the presence of a supersymmetric 't Hooft loop operator. The result we find - obtained using localization techniques - captures all perturbative quantum corrections as well as non-perturbative effects due to instantons and monopoles, which are supported at the north pole, south pole and equator of S^4. As a by-product, our gauge theory calculations successfully confirm the predictions made for 't Hooft loops obtained from the calculation of topological defect correlators in Liouville/Toda conformal fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2568","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:01:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"06A8sbV7rOmBONgEbJw6hnECR2yEhQ9tYgr1Z2a2XWe+5f29hIZBqPnsvm20PzfLZBhsW2xUDMHUFPUpg7CvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:05:21.920353Z"},"content_sha256":"8dea5222a0363708d5b9847f9501c67e10f5e32e94dcf9b89826f83d31081183","schema_version":"1.0","event_id":"sha256:8dea5222a0363708d5b9847f9501c67e10f5e32e94dcf9b89826f83d31081183"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7EHHWAUOFTMQDPYX7TPO4T74EO/bundle.json","state_url":"https://pith.science/pith/7EHHWAUOFTMQDPYX7TPO4T74EO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7EHHWAUOFTMQDPYX7TPO4T74EO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T02:05:21Z","links":{"resolver":"https://pith.science/pith/7EHHWAUOFTMQDPYX7TPO4T74EO","bundle":"https://pith.science/pith/7EHHWAUOFTMQDPYX7TPO4T74EO/bundle.json","state":"https://pith.science/pith/7EHHWAUOFTMQDPYX7TPO4T74EO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7EHHWAUOFTMQDPYX7TPO4T74EO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7EHHWAUOFTMQDPYX7TPO4T74EO","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":"704a6f41b0c9a897660b525b7fceb73c70908655caa68dbad5b1ce4b5e016305","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-12T20:02:56Z","title_canon_sha256":"269792d6675abcf2f64c1482277ba07bc3c589e5db7f370bf3c1bc909c434f37"},"schema_version":"1.0","source":{"id":"1105.2568","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2568","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2568v1","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2568","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"pith_short_12","alias_value":"7EHHWAUOFTMQ","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7EHHWAUOFTMQDPYX","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7EHHWAUO","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:8dea5222a0363708d5b9847f9501c67e10f5e32e94dcf9b89826f83d31081183","target":"graph","created_at":"2026-05-18T02:01:58Z","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"},"paper":{"abstract_excerpt":"The path integral of a general N=2 supersymmetric gauge theory on S^4 is exactly evaluated in the presence of a supersymmetric 't Hooft loop operator. The result we find - obtained using localization techniques - captures all perturbative quantum corrections as well as non-perturbative effects due to instantons and monopoles, which are supported at the north pole, south pole and equator of S^4. As a by-product, our gauge theory calculations successfully confirm the predictions made for 't Hooft loops obtained from the calculation of topological defect correlators in Liouville/Toda conformal fi","authors_text":"Jaume Gomis, Takuya Okuda, Vasily Pestun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-12T20:02:56Z","title":"Exact Results for 't Hooft Loops in Gauge Theories on S^4"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2568","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:def22bdae0c23ad69a3d8ea2e3671b6dc9149b6315e28f74538abf312d496c4b","target":"record","created_at":"2026-05-18T02:01:58Z","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":"704a6f41b0c9a897660b525b7fceb73c70908655caa68dbad5b1ce4b5e016305","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-12T20:02:56Z","title_canon_sha256":"269792d6675abcf2f64c1482277ba07bc3c589e5db7f370bf3c1bc909c434f37"},"schema_version":"1.0","source":{"id":"1105.2568","kind":"arxiv","version":1}},"canonical_sha256":"f90e7b028e2cd901bf17fcdeee4ffc239101d2910f621cedf186e77a5871f8b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f90e7b028e2cd901bf17fcdeee4ffc239101d2910f621cedf186e77a5871f8b4","first_computed_at":"2026-05-18T02:01:58.909253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:58.909253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rzg9EJjRIP5ODbgMRRTy/zLMge/wLUBIFBNe4xmuhBM6lCvf1ffvoLJD8hyERAOqRmZwSu4pExxL1Oc8v8ZxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:58.909787Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2568","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:def22bdae0c23ad69a3d8ea2e3671b6dc9149b6315e28f74538abf312d496c4b","sha256:8dea5222a0363708d5b9847f9501c67e10f5e32e94dcf9b89826f83d31081183"],"state_sha256":"3a5c7230eb50ddc1236e5b188b1bf7e427c142f0b34b52c2bed59159f71f2cb3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NWposmhH+N40qdpES1ODUAq38jlvJ5xprk+PRwD17e+B169R05l4Dh6uIAyQ14Q6/AFsfrwW1WLCCty19YoWBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T02:05:21.923179Z","bundle_sha256":"63dbdbe34d46ea4dbdc7ac5b9eaa078eb1921447ed03da4511b9c1b073999c92"}}