{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AMZ5IGVNRP2JU2RQ64JGJEZA3I","short_pith_number":"pith:AMZ5IGVN","canonical_record":{"source":{"id":"1711.01116","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-03T11:57:52Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"4bc0e73e862bd26cd5da539e4cb2a220187358d746c41b6ddb1c0d6769259225","abstract_canon_sha256":"22017fcd1698ebb0d6feba785363342a508576c3d7638b073b9192a47deef8eb"},"schema_version":"1.0"},"canonical_sha256":"0333d41aad8bf49a6a30f712649320da15eb4086395cb233f470c354f93f1fd0","source":{"kind":"arxiv","id":"1711.01116","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01116","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01116v1","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01116","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"pith_short_12","alias_value":"AMZ5IGVNRP2J","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AMZ5IGVNRP2JU2RQ","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AMZ5IGVN","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AMZ5IGVNRP2JU2RQ64JGJEZA3I","target":"record","payload":{"canonical_record":{"source":{"id":"1711.01116","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-03T11:57:52Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"4bc0e73e862bd26cd5da539e4cb2a220187358d746c41b6ddb1c0d6769259225","abstract_canon_sha256":"22017fcd1698ebb0d6feba785363342a508576c3d7638b073b9192a47deef8eb"},"schema_version":"1.0"},"canonical_sha256":"0333d41aad8bf49a6a30f712649320da15eb4086395cb233f470c354f93f1fd0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:25.635823Z","signature_b64":"zx9SMSYsryknM2i62TPcMMzZoGcGegEktwjMlKEcePtm8ZqaI9B43ffCMF3tj6GvOw9dv5taqDp17ULFqLybCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0333d41aad8bf49a6a30f712649320da15eb4086395cb233f470c354f93f1fd0","last_reissued_at":"2026-05-18T00:19:25.635358Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:25.635358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.01116","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":"2026-05-18T00:19:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RFpUhkE6Q6aAgneS8vpaAMun8j9iYhSB1C44fnV2K05v/7Dk8XM/5LyJzC5+9xIUvtWg1ILP7WiSIQjw6Wz4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:32:57.487186Z"},"content_sha256":"452c16613b26d13f21499629ac53a6ceb3f7849e851f16d86392f068eab92e70","schema_version":"1.0","event_id":"sha256:452c16613b26d13f21499629ac53a6ceb3f7849e851f16d86392f068eab92e70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AMZ5IGVNRP2JU2RQ64JGJEZA3I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Duality in a Supersymmetric Gauge Theory From a Perturbative Viewpoint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Robert Shrock, Thomas A. Ryttov","submitted_at":"2017-11-03T11:57:52Z","abstract_excerpt":"We study duality in $\\mathcal{N}=1$ supersymmetric QCD in the non-Abelian Coulomb phase, order-by-order in scheme-independent series expansions. Using exact results, we show how the dimensions of various fundamental and composite chiral superfields, and the quantities $a$, $a/c$, and $b$ at superconformal fixed points of the renormalization group emerge in scheme-independent series expansions in the electric and magnetic theories. We further demonstrate that truncations of these series expansions to modest order yield very accurate approximations to these quantities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01116","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":"2026-05-18T00:19:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vaYHzxIqSkT5juAhvwvwFM4M5Js8b5JtHZa9nY2jm2FqaBIcb7pu5Y3CXMDT3LkmwpHKE4SaYkWbbX3vOA61CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:32:57.487556Z"},"content_sha256":"429d6ef3d64c81bc5719bab8f6d92845b9bfbed07f3d2709af08836394ceafa6","schema_version":"1.0","event_id":"sha256:429d6ef3d64c81bc5719bab8f6d92845b9bfbed07f3d2709af08836394ceafa6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AMZ5IGVNRP2JU2RQ64JGJEZA3I/bundle.json","state_url":"https://pith.science/pith/AMZ5IGVNRP2JU2RQ64JGJEZA3I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AMZ5IGVNRP2JU2RQ64JGJEZA3I/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":"2026-07-04T19:32:57Z","links":{"resolver":"https://pith.science/pith/AMZ5IGVNRP2JU2RQ64JGJEZA3I","bundle":"https://pith.science/pith/AMZ5IGVNRP2JU2RQ64JGJEZA3I/bundle.json","state":"https://pith.science/pith/AMZ5IGVNRP2JU2RQ64JGJEZA3I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AMZ5IGVNRP2JU2RQ64JGJEZA3I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AMZ5IGVNRP2JU2RQ64JGJEZA3I","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":"22017fcd1698ebb0d6feba785363342a508576c3d7638b073b9192a47deef8eb","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-03T11:57:52Z","title_canon_sha256":"4bc0e73e862bd26cd5da539e4cb2a220187358d746c41b6ddb1c0d6769259225"},"schema_version":"1.0","source":{"id":"1711.01116","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01116","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01116v1","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01116","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"pith_short_12","alias_value":"AMZ5IGVNRP2J","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AMZ5IGVNRP2JU2RQ","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AMZ5IGVN","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:429d6ef3d64c81bc5719bab8f6d92845b9bfbed07f3d2709af08836394ceafa6","target":"graph","created_at":"2026-05-18T00:19:25Z","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":"We study duality in $\\mathcal{N}=1$ supersymmetric QCD in the non-Abelian Coulomb phase, order-by-order in scheme-independent series expansions. Using exact results, we show how the dimensions of various fundamental and composite chiral superfields, and the quantities $a$, $a/c$, and $b$ at superconformal fixed points of the renormalization group emerge in scheme-independent series expansions in the electric and magnetic theories. We further demonstrate that truncations of these series expansions to modest order yield very accurate approximations to these quantities.","authors_text":"Robert Shrock, Thomas A. Ryttov","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-03T11:57:52Z","title":"Duality in a Supersymmetric Gauge Theory From a Perturbative Viewpoint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01116","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":"sha256:452c16613b26d13f21499629ac53a6ceb3f7849e851f16d86392f068eab92e70","target":"record","created_at":"2026-05-18T00:19:25Z","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":"22017fcd1698ebb0d6feba785363342a508576c3d7638b073b9192a47deef8eb","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-03T11:57:52Z","title_canon_sha256":"4bc0e73e862bd26cd5da539e4cb2a220187358d746c41b6ddb1c0d6769259225"},"schema_version":"1.0","source":{"id":"1711.01116","kind":"arxiv","version":1}},"canonical_sha256":"0333d41aad8bf49a6a30f712649320da15eb4086395cb233f470c354f93f1fd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0333d41aad8bf49a6a30f712649320da15eb4086395cb233f470c354f93f1fd0","first_computed_at":"2026-05-18T00:19:25.635358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:25.635358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zx9SMSYsryknM2i62TPcMMzZoGcGegEktwjMlKEcePtm8ZqaI9B43ffCMF3tj6GvOw9dv5taqDp17ULFqLybCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:25.635823Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.01116","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:452c16613b26d13f21499629ac53a6ceb3f7849e851f16d86392f068eab92e70","sha256:429d6ef3d64c81bc5719bab8f6d92845b9bfbed07f3d2709af08836394ceafa6"],"state_sha256":"0c1fbc9eda3e9f5bf93853c6446e005d77b88660bda089c52da4711e83493e5f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uee9ugIfGacJn2RHVRA55hxczwhgkRn8bZos5S1iIdZ/x4VJaqJKT1pyf0jZMu4Is+Mk53s4l+KUvGBJVm2+Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T19:32:57.489624Z","bundle_sha256":"f5df43e0e38a28df6adaa868b4eb31da11e1a6da6d8733273cdd0ff245fb0ae8"}}