{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:J6TIQIPP4NA5QGZMRSLM5YEH4P","short_pith_number":"pith:J6TIQIPP","canonical_record":{"source":{"id":"hep-th/0405180","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-05-20T19:37:14Z","cross_cats_sorted":[],"title_canon_sha256":"9ec4b0240eadc52d760d114304e52c90d69ff8d8a607fe107abd5c9dd4ba729c","abstract_canon_sha256":"66a0d03d6011b0aca9d482a4c79aacad2f4e71675a0263ac56e5531a090a0d48"},"schema_version":"1.0"},"canonical_sha256":"4fa68821efe341d81b2c8c96cee087e3ccd3ead94fa079b7d31d8a181818a167","source":{"kind":"arxiv","id":"hep-th/0405180","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0405180","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0405180v2","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0405180","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"pith_short_12","alias_value":"J6TIQIPP4NA5","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"pith_short_16","alias_value":"J6TIQIPP4NA5QGZM","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"pith_short_8","alias_value":"J6TIQIPP","created_at":"2026-07-04T15:20:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:J6TIQIPP4NA5QGZMRSLM5YEH4P","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0405180","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-05-20T19:37:14Z","cross_cats_sorted":[],"title_canon_sha256":"9ec4b0240eadc52d760d114304e52c90d69ff8d8a607fe107abd5c9dd4ba729c","abstract_canon_sha256":"66a0d03d6011b0aca9d482a4c79aacad2f4e71675a0263ac56e5531a090a0d48"},"schema_version":"1.0"},"canonical_sha256":"4fa68821efe341d81b2c8c96cee087e3ccd3ead94fa079b7d31d8a181818a167","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:20:29.071098Z","signature_b64":"2DVSzIUpZ7xQV+vAyZZ1h3rk1xgiHZBtlKaFw7xW6avAe0Cu9WAqH291xw+5xWW5412HXGi7Q2p6DsML0w2DCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fa68821efe341d81b2c8c96cee087e3ccd3ead94fa079b7d31d8a181818a167","last_reissued_at":"2026-07-04T15:20:29.070710Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:20:29.070710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0405180","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":"2026-07-04T15:20:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pgcv/zLPJJQ8WU9V3aVTE7aaNnKItHCHjd9pmogALz5Po9OgwajQKWJMAKj7HDKobrLKVrBONbH9nI2gUmEeAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T11:57:00.944259Z"},"content_sha256":"961833b0efee4ff77e42dcc198b0129e036fa18258a4c4200bf0f9b125ad4ee9","schema_version":"1.0","event_id":"sha256:961833b0efee4ff77e42dcc198b0129e036fa18258a4c4200bf0f9b125ad4ee9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:J6TIQIPP4NA5QGZMRSLM5YEH4P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Four-Point Functions of Half-BPS Operators in General Dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Emery Sokatchev, Francis A. Dolan, Laurent Gallot","submitted_at":"2004-05-20T19:37:14Z","abstract_excerpt":"We study four-point correlation functions of half-BPS operators of arbitrary weight for all dimensions d=3,4,5,6 where superconformal theories exist. Using harmonic superspace techniques, we derive the superconformal Ward identities for these correlators and present them in a universal form. We then solve these identities, employing Jack polynomial expansions. We show that the general solution is parameterized by a set of arbitrary two-variable functions, with the exception of the case d=4, where in addition functions of a single variable appear. We also discuss the operator product expansion "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0405180","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0405180/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:20:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ssIMwR4URMvS+olpLoYffmiMCWNvKsEBWcNOHBNWoI4rakc5DGwfdeO+9ansBwt3I9Jv+pzsGACYUjANZdxMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T11:57:00.945342Z"},"content_sha256":"7e7dc51659287822f08a00467f140d2fb4a2af3be25936d4a187ba222fe70d88","schema_version":"1.0","event_id":"sha256:7e7dc51659287822f08a00467f140d2fb4a2af3be25936d4a187ba222fe70d88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J6TIQIPP4NA5QGZMRSLM5YEH4P/bundle.json","state_url":"https://pith.science/pith/J6TIQIPP4NA5QGZMRSLM5YEH4P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J6TIQIPP4NA5QGZMRSLM5YEH4P/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":"2026-08-15T11:57:00Z","links":{"resolver":"https://pith.science/pith/J6TIQIPP4NA5QGZMRSLM5YEH4P","bundle":"https://pith.science/pith/J6TIQIPP4NA5QGZMRSLM5YEH4P/bundle.json","state":"https://pith.science/pith/J6TIQIPP4NA5QGZMRSLM5YEH4P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J6TIQIPP4NA5QGZMRSLM5YEH4P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:J6TIQIPP4NA5QGZMRSLM5YEH4P","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":"66a0d03d6011b0aca9d482a4c79aacad2f4e71675a0263ac56e5531a090a0d48","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-05-20T19:37:14Z","title_canon_sha256":"9ec4b0240eadc52d760d114304e52c90d69ff8d8a607fe107abd5c9dd4ba729c"},"schema_version":"1.0","source":{"id":"hep-th/0405180","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0405180","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0405180v2","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0405180","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"pith_short_12","alias_value":"J6TIQIPP4NA5","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"pith_short_16","alias_value":"J6TIQIPP4NA5QGZM","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"pith_short_8","alias_value":"J6TIQIPP","created_at":"2026-07-04T15:20:29Z"}],"graph_snapshots":[{"event_id":"sha256:7e7dc51659287822f08a00467f140d2fb4a2af3be25936d4a187ba222fe70d88","target":"graph","created_at":"2026-07-04T15:20:29Z","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/0405180/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study four-point correlation functions of half-BPS operators of arbitrary weight for all dimensions d=3,4,5,6 where superconformal theories exist. Using harmonic superspace techniques, we derive the superconformal Ward identities for these correlators and present them in a universal form. We then solve these identities, employing Jack polynomial expansions. We show that the general solution is parameterized by a set of arbitrary two-variable functions, with the exception of the case d=4, where in addition functions of a single variable appear. We also discuss the operator product expansion ","authors_text":"Emery Sokatchev, Francis A. Dolan, Laurent Gallot","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-05-20T19:37:14Z","title":"On Four-Point Functions of Half-BPS Operators in General Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0405180","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":"sha256:961833b0efee4ff77e42dcc198b0129e036fa18258a4c4200bf0f9b125ad4ee9","target":"record","created_at":"2026-07-04T15:20:29Z","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":"66a0d03d6011b0aca9d482a4c79aacad2f4e71675a0263ac56e5531a090a0d48","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-05-20T19:37:14Z","title_canon_sha256":"9ec4b0240eadc52d760d114304e52c90d69ff8d8a607fe107abd5c9dd4ba729c"},"schema_version":"1.0","source":{"id":"hep-th/0405180","kind":"arxiv","version":2}},"canonical_sha256":"4fa68821efe341d81b2c8c96cee087e3ccd3ead94fa079b7d31d8a181818a167","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fa68821efe341d81b2c8c96cee087e3ccd3ead94fa079b7d31d8a181818a167","first_computed_at":"2026-07-04T15:20:29.070710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:29.070710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2DVSzIUpZ7xQV+vAyZZ1h3rk1xgiHZBtlKaFw7xW6avAe0Cu9WAqH291xw+5xWW5412HXGi7Q2p6DsML0w2DCg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:29.071098Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0405180","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:961833b0efee4ff77e42dcc198b0129e036fa18258a4c4200bf0f9b125ad4ee9","sha256:7e7dc51659287822f08a00467f140d2fb4a2af3be25936d4a187ba222fe70d88"],"state_sha256":"e0da841ecf880ed097d614c11436fea3ce8138bb46efd3daf897db159a548af8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MrvXOaf70TPU+G/olMf2lTACNKw8R0riKHXLrHb3MBWBhISplZF2bbCr3IPHSVu9L6Jjj/Il6PaZ0qMXf4GeBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T11:57:00.950117Z","bundle_sha256":"eb1c44c7468351235643454ecf7946fdcada2a854fb294c1d5b6b464e7502504"}}