{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:7RNJHLTFK3YJASZX4TB3O5IDRJ","short_pith_number":"pith:7RNJHLTF","canonical_record":{"source":{"id":"2307.12426","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2023-07-23T20:45:26Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"de4f9c2e754870eb0e8aa1eff2de645f40161e0f17bca9fe1af9a93c67f7753e","abstract_canon_sha256":"a4c2785f11acbce0a73daf51fda535b208bf9fd11e2b259e068bc4d77bdf9301"},"schema_version":"1.0"},"canonical_sha256":"fc5a93ae6556f0904b37e4c3b775038a72e3b8d98cc0525ffbf85bc5615da379","source":{"kind":"arxiv","id":"2307.12426","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.12426","created_at":"2026-07-05T06:50:16Z"},{"alias_kind":"arxiv_version","alias_value":"2307.12426v1","created_at":"2026-07-05T06:50:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.12426","created_at":"2026-07-05T06:50:16Z"},{"alias_kind":"pith_short_12","alias_value":"7RNJHLTFK3YJ","created_at":"2026-07-05T06:50:16Z"},{"alias_kind":"pith_short_16","alias_value":"7RNJHLTFK3YJASZX","created_at":"2026-07-05T06:50:16Z"},{"alias_kind":"pith_short_8","alias_value":"7RNJHLTF","created_at":"2026-07-05T06:50:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:7RNJHLTFK3YJASZX4TB3O5IDRJ","target":"record","payload":{"canonical_record":{"source":{"id":"2307.12426","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2023-07-23T20:45:26Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"de4f9c2e754870eb0e8aa1eff2de645f40161e0f17bca9fe1af9a93c67f7753e","abstract_canon_sha256":"a4c2785f11acbce0a73daf51fda535b208bf9fd11e2b259e068bc4d77bdf9301"},"schema_version":"1.0"},"canonical_sha256":"fc5a93ae6556f0904b37e4c3b775038a72e3b8d98cc0525ffbf85bc5615da379","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:50:16.162490Z","signature_b64":"IIzRjXFY84bHE9blPBCXiCpmJpM9PYAcwOF94FFP77MElCEmzzBhMcFFx2KqZS1CVVoSZM/USPtWsbkEfPGXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc5a93ae6556f0904b37e4c3b775038a72e3b8d98cc0525ffbf85bc5615da379","last_reissued_at":"2026-07-05T06:50:16.162032Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:50:16.162032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.12426","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":"2026-07-05T06:50:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LIeWKVhYmuSwYK1hz9r7vY7+tQEdgLLoQTO4AV34T25E+8I+uHYuqkcYpXAKOWNr1hjWuRrrwk1+qhgwOYnEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:12:28.827388Z"},"content_sha256":"b0dd49f1815ee9ff33ac7e38537ab12819fb37b682920b528f9082bb8701cc26","schema_version":"1.0","event_id":"sha256:b0dd49f1815ee9ff33ac7e38537ab12819fb37b682920b528f9082bb8701cc26"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:7RNJHLTFK3YJASZX4TB3O5IDRJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomalous Dimensions at an Infrared Fixed Point in an SU($N_c$) Gauge Theory with Fermions in the Fundamental and Antisymmetric Tensor Representations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"Robert Shrock, Thomas A. Ryttov","submitted_at":"2023-07-23T20:45:26Z","abstract_excerpt":"We present scheme-independent calculations of the anomalous dimensions $\\gamma_{\\bar\\psi\\psi,IR}$ and $\\gamma_{\\bar\\chi\\chi,IR}$ of fermion bilinear operators $\\bar\\psi\\psi$ and $\\bar\\chi\\chi$ at an infrared fixed point in an asymptotically free SU($N_c$) gauge theory with massless Dirac fermion content consisting of $N_F$ fermions $\\psi^a_i$ in the fundamental representation and $N_{A_2}$ fermions $\\chi^{ab}_j$ in the antisymmetric rank-2 tensor representation, where $i,j$ are flavor indices. For the case $N_c=4$, $N_F=4$, and $N_{A_2}=4$, we compare our results with values of these anomalous"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.12426","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/2307.12426/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":"2026-07-05T06:50:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xh9Tr9//5CyqEN4pPwz/XcBhL4H/dsztfl+NiriO8TFvloW/DxJiIwqqqtk6e3UukTAGdNn1Eg8iUKCHXRR6Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:12:28.828484Z"},"content_sha256":"12874e5ae5ef7c4c436cdb83548b0ba998fa69108a8d6a12686d8804961dc275","schema_version":"1.0","event_id":"sha256:12874e5ae5ef7c4c436cdb83548b0ba998fa69108a8d6a12686d8804961dc275"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7RNJHLTFK3YJASZX4TB3O5IDRJ/bundle.json","state_url":"https://pith.science/pith/7RNJHLTFK3YJASZX4TB3O5IDRJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7RNJHLTFK3YJASZX4TB3O5IDRJ/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":"2026-08-03T16:12:28Z","links":{"resolver":"https://pith.science/pith/7RNJHLTFK3YJASZX4TB3O5IDRJ","bundle":"https://pith.science/pith/7RNJHLTFK3YJASZX4TB3O5IDRJ/bundle.json","state":"https://pith.science/pith/7RNJHLTFK3YJASZX4TB3O5IDRJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7RNJHLTFK3YJASZX4TB3O5IDRJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:7RNJHLTFK3YJASZX4TB3O5IDRJ","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":"a4c2785f11acbce0a73daf51fda535b208bf9fd11e2b259e068bc4d77bdf9301","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2023-07-23T20:45:26Z","title_canon_sha256":"de4f9c2e754870eb0e8aa1eff2de645f40161e0f17bca9fe1af9a93c67f7753e"},"schema_version":"1.0","source":{"id":"2307.12426","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.12426","created_at":"2026-07-05T06:50:16Z"},{"alias_kind":"arxiv_version","alias_value":"2307.12426v1","created_at":"2026-07-05T06:50:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.12426","created_at":"2026-07-05T06:50:16Z"},{"alias_kind":"pith_short_12","alias_value":"7RNJHLTFK3YJ","created_at":"2026-07-05T06:50:16Z"},{"alias_kind":"pith_short_16","alias_value":"7RNJHLTFK3YJASZX","created_at":"2026-07-05T06:50:16Z"},{"alias_kind":"pith_short_8","alias_value":"7RNJHLTF","created_at":"2026-07-05T06:50:16Z"}],"graph_snapshots":[{"event_id":"sha256:12874e5ae5ef7c4c436cdb83548b0ba998fa69108a8d6a12686d8804961dc275","target":"graph","created_at":"2026-07-05T06:50:16Z","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/2307.12426/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present scheme-independent calculations of the anomalous dimensions $\\gamma_{\\bar\\psi\\psi,IR}$ and $\\gamma_{\\bar\\chi\\chi,IR}$ of fermion bilinear operators $\\bar\\psi\\psi$ and $\\bar\\chi\\chi$ at an infrared fixed point in an asymptotically free SU($N_c$) gauge theory with massless Dirac fermion content consisting of $N_F$ fermions $\\psi^a_i$ in the fundamental representation and $N_{A_2}$ fermions $\\chi^{ab}_j$ in the antisymmetric rank-2 tensor representation, where $i,j$ are flavor indices. For the case $N_c=4$, $N_F=4$, and $N_{A_2}=4$, we compare our results with values of these anomalous","authors_text":"Robert Shrock, Thomas A. Ryttov","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2023-07-23T20:45:26Z","title":"Anomalous Dimensions at an Infrared Fixed Point in an SU($N_c$) Gauge Theory with Fermions in the Fundamental and Antisymmetric Tensor Representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.12426","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:b0dd49f1815ee9ff33ac7e38537ab12819fb37b682920b528f9082bb8701cc26","target":"record","created_at":"2026-07-05T06:50:16Z","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":"a4c2785f11acbce0a73daf51fda535b208bf9fd11e2b259e068bc4d77bdf9301","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2023-07-23T20:45:26Z","title_canon_sha256":"de4f9c2e754870eb0e8aa1eff2de645f40161e0f17bca9fe1af9a93c67f7753e"},"schema_version":"1.0","source":{"id":"2307.12426","kind":"arxiv","version":1}},"canonical_sha256":"fc5a93ae6556f0904b37e4c3b775038a72e3b8d98cc0525ffbf85bc5615da379","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc5a93ae6556f0904b37e4c3b775038a72e3b8d98cc0525ffbf85bc5615da379","first_computed_at":"2026-07-05T06:50:16.162032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:50:16.162032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IIzRjXFY84bHE9blPBCXiCpmJpM9PYAcwOF94FFP77MElCEmzzBhMcFFx2KqZS1CVVoSZM/USPtWsbkEfPGXAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:50:16.162490Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.12426","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0dd49f1815ee9ff33ac7e38537ab12819fb37b682920b528f9082bb8701cc26","sha256:12874e5ae5ef7c4c436cdb83548b0ba998fa69108a8d6a12686d8804961dc275"],"state_sha256":"b618eb4d9326f9b99deee5c7c8c9524acca869bc9b811283f96209b65bbaefb1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K63eJgydSMBk4m1ZA8TYPSBz0q47p3u3DSEwg9ms71y6dy3ViEKFGaCgY50/OMZNNI6R1xTdw57FFEKO9qyoDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T16:12:28.835704Z","bundle_sha256":"624f0b69c8073e21a0623fcead1507f85490783239a169b746c6586fea1934c7"}}