{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HDY34ZEMDOBL5C7EYXT4O4ZFIP","short_pith_number":"pith:HDY34ZEM","canonical_record":{"source":{"id":"1706.06422","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-20T13:35:28Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"1c35e2748397bb4b3fd84f464c0a72523ac5ec9a48c07d2abc7922d6c2de8a19","abstract_canon_sha256":"3cc42c0af71c25bc441fd12d3a66e48665fe3f82b23d3291f90d2c0df80c9394"},"schema_version":"1.0"},"canonical_sha256":"38f1be648c1b82be8be4c5e7c7732543cd17f8c6c4f6f4df868cf85729fc1f4c","source":{"kind":"arxiv","id":"1706.06422","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.06422","created_at":"2026-05-18T00:28:45Z"},{"alias_kind":"arxiv_version","alias_value":"1706.06422v1","created_at":"2026-05-18T00:28:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06422","created_at":"2026-05-18T00:28:45Z"},{"alias_kind":"pith_short_12","alias_value":"HDY34ZEMDOBL","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HDY34ZEMDOBL5C7E","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HDY34ZEM","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HDY34ZEMDOBL5C7EYXT4O4ZFIP","target":"record","payload":{"canonical_record":{"source":{"id":"1706.06422","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-20T13:35:28Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"1c35e2748397bb4b3fd84f464c0a72523ac5ec9a48c07d2abc7922d6c2de8a19","abstract_canon_sha256":"3cc42c0af71c25bc441fd12d3a66e48665fe3f82b23d3291f90d2c0df80c9394"},"schema_version":"1.0"},"canonical_sha256":"38f1be648c1b82be8be4c5e7c7732543cd17f8c6c4f6f4df868cf85729fc1f4c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:45.872094Z","signature_b64":"vX1dNATEaX0ueA4sMLLniCvMrir0valE2euYykLkxbaPARDevgSQxdDtZvt1WKvYXsDnbs3iWJgstBEJ4mv7Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38f1be648c1b82be8be4c5e7c7732543cd17f8c6c4f6f4df868cf85729fc1f4c","last_reissued_at":"2026-05-18T00:28:45.871420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:45.871420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.06422","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":"2026-05-18T00:28:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GqcwO7XI5t4adjQ4oD/0K0AgJpryDoXOTEtv1Zwek89z+sHYkEcCM90PTNYgdbX3PnvzBR5gzNZSiXNZS/UaCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T09:50:07.126905Z"},"content_sha256":"0266bb60aad443ecab514c52d88a7314de2aa004468bb364d7ef1b2e84ed8d04","schema_version":"1.0","event_id":"sha256:0266bb60aad443ecab514c52d88a7314de2aa004468bb364d7ef1b2e84ed8d04"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HDY34ZEMDOBL5C7EYXT4O4ZFIP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scheme-Independent Calculations of Physical Quantities in an ${\\cal N}=1$ Supersymmetric Gauge Theory","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":"2017-06-20T13:35:28Z","abstract_excerpt":"We consider an asymptotically free, vectorial, ${\\cal N}=1$ supersymmetric gauge theory with gauge group $G$ and $N_f$ pairs of chiral superfields in the respective representations ${\\cal R}$ and $\\bar {\\cal R}$ of $G$, having an infrared fixed point (IRFP) of the renormalization group at $\\alpha_{IR}$. We present exact results for the anomalous dimensions of various (gauge-invariant) composite chiral superfields $\\gamma_{{\\Phi}_{\\rm prod}}$ at the IRFP and prove that these increase monotonically with decreasing $N_f$ in the non-Abelian Coulomb phase of the theory and that scheme-independent e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06422","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":"2026-05-18T00:28:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"on5VvjYWs1YdgYMnkz27N3fPRmQuALhmq7dbx7NAoB3P968mEjRv4MkWWXjVAHE+UTiNVjzYyi7Bdym4qstJDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T09:50:07.127381Z"},"content_sha256":"64a10bb44a5fcc4e5c61f3dc1663d69f965922fe6038b420723fd3b5833ac13c","schema_version":"1.0","event_id":"sha256:64a10bb44a5fcc4e5c61f3dc1663d69f965922fe6038b420723fd3b5833ac13c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HDY34ZEMDOBL5C7EYXT4O4ZFIP/bundle.json","state_url":"https://pith.science/pith/HDY34ZEMDOBL5C7EYXT4O4ZFIP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HDY34ZEMDOBL5C7EYXT4O4ZFIP/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":"2026-05-22T09:50:07Z","links":{"resolver":"https://pith.science/pith/HDY34ZEMDOBL5C7EYXT4O4ZFIP","bundle":"https://pith.science/pith/HDY34ZEMDOBL5C7EYXT4O4ZFIP/bundle.json","state":"https://pith.science/pith/HDY34ZEMDOBL5C7EYXT4O4ZFIP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HDY34ZEMDOBL5C7EYXT4O4ZFIP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HDY34ZEMDOBL5C7EYXT4O4ZFIP","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":"3cc42c0af71c25bc441fd12d3a66e48665fe3f82b23d3291f90d2c0df80c9394","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-20T13:35:28Z","title_canon_sha256":"1c35e2748397bb4b3fd84f464c0a72523ac5ec9a48c07d2abc7922d6c2de8a19"},"schema_version":"1.0","source":{"id":"1706.06422","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.06422","created_at":"2026-05-18T00:28:45Z"},{"alias_kind":"arxiv_version","alias_value":"1706.06422v1","created_at":"2026-05-18T00:28:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06422","created_at":"2026-05-18T00:28:45Z"},{"alias_kind":"pith_short_12","alias_value":"HDY34ZEMDOBL","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HDY34ZEMDOBL5C7E","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HDY34ZEM","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:64a10bb44a5fcc4e5c61f3dc1663d69f965922fe6038b420723fd3b5833ac13c","target":"graph","created_at":"2026-05-18T00:28:45Z","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 consider an asymptotically free, vectorial, ${\\cal N}=1$ supersymmetric gauge theory with gauge group $G$ and $N_f$ pairs of chiral superfields in the respective representations ${\\cal R}$ and $\\bar {\\cal R}$ of $G$, having an infrared fixed point (IRFP) of the renormalization group at $\\alpha_{IR}$. We present exact results for the anomalous dimensions of various (gauge-invariant) composite chiral superfields $\\gamma_{{\\Phi}_{\\rm prod}}$ at the IRFP and prove that these increase monotonically with decreasing $N_f$ in the non-Abelian Coulomb phase of the theory and that scheme-independent e","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":"2017-06-20T13:35:28Z","title":"Scheme-Independent Calculations of Physical Quantities in an ${\\cal N}=1$ Supersymmetric Gauge Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06422","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":"sha256:0266bb60aad443ecab514c52d88a7314de2aa004468bb364d7ef1b2e84ed8d04","target":"record","created_at":"2026-05-18T00:28:45Z","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":"3cc42c0af71c25bc441fd12d3a66e48665fe3f82b23d3291f90d2c0df80c9394","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-20T13:35:28Z","title_canon_sha256":"1c35e2748397bb4b3fd84f464c0a72523ac5ec9a48c07d2abc7922d6c2de8a19"},"schema_version":"1.0","source":{"id":"1706.06422","kind":"arxiv","version":1}},"canonical_sha256":"38f1be648c1b82be8be4c5e7c7732543cd17f8c6c4f6f4df868cf85729fc1f4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38f1be648c1b82be8be4c5e7c7732543cd17f8c6c4f6f4df868cf85729fc1f4c","first_computed_at":"2026-05-18T00:28:45.871420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:45.871420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vX1dNATEaX0ueA4sMLLniCvMrir0valE2euYykLkxbaPARDevgSQxdDtZvt1WKvYXsDnbs3iWJgstBEJ4mv7Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:45.872094Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.06422","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0266bb60aad443ecab514c52d88a7314de2aa004468bb364d7ef1b2e84ed8d04","sha256:64a10bb44a5fcc4e5c61f3dc1663d69f965922fe6038b420723fd3b5833ac13c"],"state_sha256":"3720ff307e9bdd8e3ef7726513d44fba32cab0eb6e543b31f12df1cdbe3a4e81"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CyIFqVAfkoV+GBFhuaQovz2z8C4xxll2D8xq7hyX6hG6qxEC2YGNppmQTIactapvUwDJ1EI8exATt+LpOapODg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T09:50:07.130097Z","bundle_sha256":"f005058e56d08ba4a0d081926511a51454e241db33f5995362f4f5f5f56ddb30"}}