{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:6G44BOVU7XSHJHTR73Q6ZKFC6Y","short_pith_number":"pith:6G44BOVU","canonical_record":{"source":{"id":"hep-th/9502057","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-02-09T10:02:00Z","cross_cats_sorted":[],"title_canon_sha256":"68cc6f9840c2e5e89bbef7e5616ea03d259caf3a924b659f56d5060472b5b2c3","abstract_canon_sha256":"626e0a4369641d1ac4cf29e288bcde20794e95014a4411434d84181286bf7d9d"},"schema_version":"1.0"},"canonical_sha256":"f1b9c0bab4fde4749e71fee1eca8a2f6275a54908168231ba60065ccc0d37a91","source":{"kind":"arxiv","id":"hep-th/9502057","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9502057","created_at":"2026-05-18T01:06:03Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9502057v2","created_at":"2026-05-18T01:06:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9502057","created_at":"2026-05-18T01:06:03Z"},{"alias_kind":"pith_short_12","alias_value":"6G44BOVU7XSH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"6G44BOVU7XSHJHTR","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"6G44BOVU","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:6G44BOVU7XSHJHTR73Q6ZKFC6Y","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9502057","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-02-09T10:02:00Z","cross_cats_sorted":[],"title_canon_sha256":"68cc6f9840c2e5e89bbef7e5616ea03d259caf3a924b659f56d5060472b5b2c3","abstract_canon_sha256":"626e0a4369641d1ac4cf29e288bcde20794e95014a4411434d84181286bf7d9d"},"schema_version":"1.0"},"canonical_sha256":"f1b9c0bab4fde4749e71fee1eca8a2f6275a54908168231ba60065ccc0d37a91","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:03.295674Z","signature_b64":"sMIZqnWP5EMgaf2MYVcCIlo8iD326hJGpbEb/LjFUCH+FAkw1EDFaott5ULDNI1gIpGICN0ocm36khAeRMIWAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1b9c0bab4fde4749e71fee1eca8a2f6275a54908168231ba60065ccc0d37a91","last_reissued_at":"2026-05-18T01:06:03.294978Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:03.294978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9502057","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:06:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DZ/ZjFFowgBszJlHtkXfSI1YZSq9vcqX4jv8T1RjN+S3GvKFpkkK7/VXMX9+/8dHf1TpZvUAvltY51DM2wK4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:37:22.932082Z"},"content_sha256":"dccd2c653a531069b216268a070646fec0fa3bded6b9ddccf9d0058c8686b960","schema_version":"1.0","event_id":"sha256:dccd2c653a531069b216268a070646fec0fa3bded6b9ddccf9d0058c8686b960"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:6G44BOVU7XSHJHTR73Q6ZKFC6Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"S-Duality in N=4 Yang-Mills Theories with General Gauge Groups,","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alberto Zaffaroni, Amit Giveon, Luciano Girardello, Massimo Porrati","submitted_at":"1995-02-09T10:02:00Z","abstract_excerpt":"'t Hooft construction of free energy, electric and magnetic fluxes, and of the partition function with twisted boundary conditions, is extended to the case of $N=4$ supersymmetric Yang-Mills theories based on arbitrary compact, simple Lie groups. The transformation of the fluxes and the free energy under S-duality is presented. We consider the partition function of $N=4$ for a particular choice of boundary conditions, and compute exactly its leading infrared divergence. We verify that this partition function obeys the transformation laws required by S-duality. This provides independent evidenc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9502057","kind":"arxiv","version":2},"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":"2026-05-18T01:06:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I7CRbglZfI4jBgxF0t/yv67bTxiJKxvRW+BN3AlFQw/IRY1JNChE+VjypuDeYFuZW0UtMgZvGZVV9eGLLx8nDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:37:22.932850Z"},"content_sha256":"f44c696415a8d112062e658fa74c6640dedbb73ed18ef0bddce0f9457ffe200d","schema_version":"1.0","event_id":"sha256:f44c696415a8d112062e658fa74c6640dedbb73ed18ef0bddce0f9457ffe200d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6G44BOVU7XSHJHTR73Q6ZKFC6Y/bundle.json","state_url":"https://pith.science/pith/6G44BOVU7XSHJHTR73Q6ZKFC6Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6G44BOVU7XSHJHTR73Q6ZKFC6Y/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":"2026-05-31T16:37:22Z","links":{"resolver":"https://pith.science/pith/6G44BOVU7XSHJHTR73Q6ZKFC6Y","bundle":"https://pith.science/pith/6G44BOVU7XSHJHTR73Q6ZKFC6Y/bundle.json","state":"https://pith.science/pith/6G44BOVU7XSHJHTR73Q6ZKFC6Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6G44BOVU7XSHJHTR73Q6ZKFC6Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:6G44BOVU7XSHJHTR73Q6ZKFC6Y","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":"626e0a4369641d1ac4cf29e288bcde20794e95014a4411434d84181286bf7d9d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-02-09T10:02:00Z","title_canon_sha256":"68cc6f9840c2e5e89bbef7e5616ea03d259caf3a924b659f56d5060472b5b2c3"},"schema_version":"1.0","source":{"id":"hep-th/9502057","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9502057","created_at":"2026-05-18T01:06:03Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9502057v2","created_at":"2026-05-18T01:06:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9502057","created_at":"2026-05-18T01:06:03Z"},{"alias_kind":"pith_short_12","alias_value":"6G44BOVU7XSH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"6G44BOVU7XSHJHTR","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"6G44BOVU","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:f44c696415a8d112062e658fa74c6640dedbb73ed18ef0bddce0f9457ffe200d","target":"graph","created_at":"2026-05-18T01:06:03Z","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":"'t Hooft construction of free energy, electric and magnetic fluxes, and of the partition function with twisted boundary conditions, is extended to the case of $N=4$ supersymmetric Yang-Mills theories based on arbitrary compact, simple Lie groups. The transformation of the fluxes and the free energy under S-duality is presented. We consider the partition function of $N=4$ for a particular choice of boundary conditions, and compute exactly its leading infrared divergence. We verify that this partition function obeys the transformation laws required by S-duality. This provides independent evidenc","authors_text":"Alberto Zaffaroni, Amit Giveon, Luciano Girardello, Massimo Porrati","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1995-02-09T10:02:00Z","title":"S-Duality in N=4 Yang-Mills Theories with General Gauge Groups,"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9502057","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:dccd2c653a531069b216268a070646fec0fa3bded6b9ddccf9d0058c8686b960","target":"record","created_at":"2026-05-18T01:06:03Z","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":"626e0a4369641d1ac4cf29e288bcde20794e95014a4411434d84181286bf7d9d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-02-09T10:02:00Z","title_canon_sha256":"68cc6f9840c2e5e89bbef7e5616ea03d259caf3a924b659f56d5060472b5b2c3"},"schema_version":"1.0","source":{"id":"hep-th/9502057","kind":"arxiv","version":2}},"canonical_sha256":"f1b9c0bab4fde4749e71fee1eca8a2f6275a54908168231ba60065ccc0d37a91","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1b9c0bab4fde4749e71fee1eca8a2f6275a54908168231ba60065ccc0d37a91","first_computed_at":"2026-05-18T01:06:03.294978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:03.294978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sMIZqnWP5EMgaf2MYVcCIlo8iD326hJGpbEb/LjFUCH+FAkw1EDFaott5ULDNI1gIpGICN0ocm36khAeRMIWAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:03.295674Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9502057","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dccd2c653a531069b216268a070646fec0fa3bded6b9ddccf9d0058c8686b960","sha256:f44c696415a8d112062e658fa74c6640dedbb73ed18ef0bddce0f9457ffe200d"],"state_sha256":"f64b8d615c153e7fbd0f82dfa6c4906151f4bb963dce339b538159da07cfc5b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UZoeTpCAy9hw0k9dkGGvipoRL/1dBQsxVEYeuvtyxlCFnBpBJ1/5BkPhIORQhHKMcp9i7GZaeuETRGCJE5JMBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T16:37:22.936442Z","bundle_sha256":"b53bbe0c9731c053949cb1b631607124424a9c123d30536f5493a1b020867923"}}