{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:UDITZNTITJMUQQVX4LFL5T563W","short_pith_number":"pith:UDITZNTI","canonical_record":{"source":{"id":"2606.18442","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T19:47:31Z","cross_cats_sorted":[],"title_canon_sha256":"4c5c54c99b8bdec6d0f63a2b4bd81251ba35d9a98a40bca57b70caaf626a91a4","abstract_canon_sha256":"5341f6da361143da0833926ae14502efc188443f2e13af5b5f7ab3386913349f"},"schema_version":"1.0"},"canonical_sha256":"a0d13cb6689a594842b7e2cabecfbedd9ca2ac97f9560a255fd4e1c9c9b62ac5","source":{"kind":"arxiv","id":"2606.18442","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.18442","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"arxiv_version","alias_value":"2606.18442v1","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.18442","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_12","alias_value":"UDITZNTITJMU","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_16","alias_value":"UDITZNTITJMUQQVX","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_8","alias_value":"UDITZNTI","created_at":"2026-06-19T16:11:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:UDITZNTITJMUQQVX4LFL5T563W","target":"record","payload":{"canonical_record":{"source":{"id":"2606.18442","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T19:47:31Z","cross_cats_sorted":[],"title_canon_sha256":"4c5c54c99b8bdec6d0f63a2b4bd81251ba35d9a98a40bca57b70caaf626a91a4","abstract_canon_sha256":"5341f6da361143da0833926ae14502efc188443f2e13af5b5f7ab3386913349f"},"schema_version":"1.0"},"canonical_sha256":"a0d13cb6689a594842b7e2cabecfbedd9ca2ac97f9560a255fd4e1c9c9b62ac5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:11:01.303912Z","signature_b64":"xzHRdDVir6JG5vZySQxlOeSfUQpLTtpBV22Mk0uZGa4y3UE/bObNGWaOzWA0LoOowrskNiijPxt2G6JtUzuBBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0d13cb6689a594842b7e2cabecfbedd9ca2ac97f9560a255fd4e1c9c9b62ac5","last_reissued_at":"2026-06-19T16:11:01.303533Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:11:01.303533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.18442","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":"2026-06-19T16:11:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rPTz/eArfuHqpMD0lKHmwZO9iS3DDVZgx0L4f1YR3sWQSBgRMLm1qYoDbV8AGPuU78NbrlcVfdzTSvyMPeeCDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T22:49:46.912208Z"},"content_sha256":"72595c464559e3f5bdd7037d15111f32999032bc8d33202b084bc51f78039150","schema_version":"1.0","event_id":"sha256:72595c464559e3f5bdd7037d15111f32999032bc8d33202b084bc51f78039150"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:UDITZNTITJMUQQVX4LFL5T563W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-point functions in $4-2\\,\\varepsilon$ dimensions from localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alessandro Georgoudis, Anton Nedelin, Congkao Wen, Joseph A. Minahan","submitted_at":"2026-06-16T19:47:31Z","abstract_excerpt":"We study two-point functions of half-BPS operators in maximally supersymmetric Yang-Mills theory continued to $d=4-2\\,\\varepsilon$ dimensions. Using supersymmetric localization on $S^d$, we derive perturbative matrix-model expressions for the $\\varepsilon$-expansion of these correlators and obtain all-loop results at leading order in $\\varepsilon$ in the planar limit, with extensions to finite-$N$ corrections and higher-charge operators. We compare the localization results with direct perturbative computations in flat space. At order $\\varepsilon$ the two descriptions agree perfectly, while at"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.18442","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.18442/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":"2026-06-19T16:11:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3HLTrVHBTTlw4tfarB4ONAa0rom/AkQEITPYvKPDb+O4ZfwqEWo3AcmZjeLd+lGowykXYJj7I4GFa8TwTZ+MBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T22:49:46.912590Z"},"content_sha256":"a523ff29e1f4d268ebabd56a9a78cc81619ec616db6e7bc79f48578e0f2867d8","schema_version":"1.0","event_id":"sha256:a523ff29e1f4d268ebabd56a9a78cc81619ec616db6e7bc79f48578e0f2867d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UDITZNTITJMUQQVX4LFL5T563W/bundle.json","state_url":"https://pith.science/pith/UDITZNTITJMUQQVX4LFL5T563W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UDITZNTITJMUQQVX4LFL5T563W/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":"2026-06-27T22:49:46Z","links":{"resolver":"https://pith.science/pith/UDITZNTITJMUQQVX4LFL5T563W","bundle":"https://pith.science/pith/UDITZNTITJMUQQVX4LFL5T563W/bundle.json","state":"https://pith.science/pith/UDITZNTITJMUQQVX4LFL5T563W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UDITZNTITJMUQQVX4LFL5T563W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UDITZNTITJMUQQVX4LFL5T563W","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":"5341f6da361143da0833926ae14502efc188443f2e13af5b5f7ab3386913349f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T19:47:31Z","title_canon_sha256":"4c5c54c99b8bdec6d0f63a2b4bd81251ba35d9a98a40bca57b70caaf626a91a4"},"schema_version":"1.0","source":{"id":"2606.18442","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.18442","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"arxiv_version","alias_value":"2606.18442v1","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.18442","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_12","alias_value":"UDITZNTITJMU","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_16","alias_value":"UDITZNTITJMUQQVX","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_8","alias_value":"UDITZNTI","created_at":"2026-06-19T16:11:01Z"}],"graph_snapshots":[{"event_id":"sha256:a523ff29e1f4d268ebabd56a9a78cc81619ec616db6e7bc79f48578e0f2867d8","target":"graph","created_at":"2026-06-19T16:11:01Z","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/2606.18442/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study two-point functions of half-BPS operators in maximally supersymmetric Yang-Mills theory continued to $d=4-2\\,\\varepsilon$ dimensions. Using supersymmetric localization on $S^d$, we derive perturbative matrix-model expressions for the $\\varepsilon$-expansion of these correlators and obtain all-loop results at leading order in $\\varepsilon$ in the planar limit, with extensions to finite-$N$ corrections and higher-charge operators. We compare the localization results with direct perturbative computations in flat space. At order $\\varepsilon$ the two descriptions agree perfectly, while at","authors_text":"Alessandro Georgoudis, Anton Nedelin, Congkao Wen, Joseph A. Minahan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T19:47:31Z","title":"Two-point functions in $4-2\\,\\varepsilon$ dimensions from localization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.18442","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":"sha256:72595c464559e3f5bdd7037d15111f32999032bc8d33202b084bc51f78039150","target":"record","created_at":"2026-06-19T16:11:01Z","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":"5341f6da361143da0833926ae14502efc188443f2e13af5b5f7ab3386913349f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T19:47:31Z","title_canon_sha256":"4c5c54c99b8bdec6d0f63a2b4bd81251ba35d9a98a40bca57b70caaf626a91a4"},"schema_version":"1.0","source":{"id":"2606.18442","kind":"arxiv","version":1}},"canonical_sha256":"a0d13cb6689a594842b7e2cabecfbedd9ca2ac97f9560a255fd4e1c9c9b62ac5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0d13cb6689a594842b7e2cabecfbedd9ca2ac97f9560a255fd4e1c9c9b62ac5","first_computed_at":"2026-06-19T16:11:01.303533Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:11:01.303533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xzHRdDVir6JG5vZySQxlOeSfUQpLTtpBV22Mk0uZGa4y3UE/bObNGWaOzWA0LoOowrskNiijPxt2G6JtUzuBBA==","signature_status":"signed_v1","signed_at":"2026-06-19T16:11:01.303912Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.18442","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72595c464559e3f5bdd7037d15111f32999032bc8d33202b084bc51f78039150","sha256:a523ff29e1f4d268ebabd56a9a78cc81619ec616db6e7bc79f48578e0f2867d8"],"state_sha256":"393a1f9b07aa0b6f633b9338927f7df90f9ce65c8db99c3a79a6eca099fe0515"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YcrXDbPb+xGWguubUI2iuBODBFecXx1Q+V2vakRTYKADTpfbQvsMl5laUnnJrvM9V5tLfwsUZx5l9gCaWmF7CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T22:49:46.914523Z","bundle_sha256":"9fedb360a106f39fad50b9a2452205bea9973cbb47f19b146e6aadc050b596b1"}}