{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ZFNF7TMZL4SAS3MQMUDSY4SAOB","short_pith_number":"pith:ZFNF7TMZ","canonical_record":{"source":{"id":"1301.1355","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-01-07T21:40:39Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"76e48fe6e6e99c61971bc57d21d503d85db3d190fd43504346db4da624e0e295","abstract_canon_sha256":"46b7b47171d328f7984c6580b8fb4316aa64aab979adfef3e782cb47bad4ed60"},"schema_version":"1.0"},"canonical_sha256":"c95a5fcd995f24096d9065072c724070578641f99b39dd8fe43c10b6ec187969","source":{"kind":"arxiv","id":"1301.1355","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1355","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1355v2","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1355","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"pith_short_12","alias_value":"ZFNF7TMZL4SA","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZFNF7TMZL4SAS3MQ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZFNF7TMZ","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ZFNF7TMZL4SAS3MQMUDSY4SAOB","target":"record","payload":{"canonical_record":{"source":{"id":"1301.1355","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-01-07T21:40:39Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"76e48fe6e6e99c61971bc57d21d503d85db3d190fd43504346db4da624e0e295","abstract_canon_sha256":"46b7b47171d328f7984c6580b8fb4316aa64aab979adfef3e782cb47bad4ed60"},"schema_version":"1.0"},"canonical_sha256":"c95a5fcd995f24096d9065072c724070578641f99b39dd8fe43c10b6ec187969","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:29.311983Z","signature_b64":"TtFds7KtkDkN46/m3oTnbwG4WoZL3Kn4IVGRTjbDdm3Vr/tTWk0YGEFe4FU1QDumODQarjp27DObu+/pusSFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c95a5fcd995f24096d9065072c724070578641f99b39dd8fe43c10b6ec187969","last_reissued_at":"2026-05-18T03:18:29.311545Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:29.311545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.1355","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":"2026-05-18T03:18:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CvSKx4QNA+HCRcsaQpRogfEMaxVh4EQRXJxipgozDElMGjqdKu7rz+2U9cAaifBrUGsDXvTNBibcw4dH5BynAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:05:12.717490Z"},"content_sha256":"1a9f30de39cfde6ab2d2d5feaa5ddfb8132b5a7393078c18aea7546c3b5d1edb","schema_version":"1.0","event_id":"sha256:1a9f30de39cfde6ab2d2d5feaa5ddfb8132b5a7393078c18aea7546c3b5d1edb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ZFNF7TMZL4SAS3MQMUDSY4SAOB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scale-dependent mass anomalous dimension from Dirac eigenmodes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"Anna Hasenfratz, Anqi Cheng, David Schaich, Gregory Petropoulos","submitted_at":"2013-01-07T21:40:39Z","abstract_excerpt":"We investigate the eigenmodes of the massless Dirac operator to extract the scale-dependent fermion mass anomalous dimension gamma_m(mu). By combining simulations on multiple lattice volumes, and when possible several gauge couplings, we are able to measure the anomalous dimension across a wide range of energy scales. The method that we present is universal and can be applied to any lattice model of interest, including both conformal or chirally broken systems. We consider SU(3) lattice gauge theories with Nf=4, 8 and 12 light or massless fermions. The 4-flavor model behaves as expected for a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1355","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":""},"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":"2026-05-18T03:18:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oxv+LKQZP9f+UkztcdQ21pqzI7lWrTFJFrQwJ4wQJTts7Y91SAz0cpywc6pSIx0i1cZJ2XpNw4EB1noFU7/sBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:05:12.718170Z"},"content_sha256":"ffacebfcbec26f9e79daa0a6ac5c85b9760d8ad41107344457cd972a56b009c8","schema_version":"1.0","event_id":"sha256:ffacebfcbec26f9e79daa0a6ac5c85b9760d8ad41107344457cd972a56b009c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZFNF7TMZL4SAS3MQMUDSY4SAOB/bundle.json","state_url":"https://pith.science/pith/ZFNF7TMZL4SAS3MQMUDSY4SAOB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZFNF7TMZL4SAS3MQMUDSY4SAOB/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":"2026-06-07T21:05:12Z","links":{"resolver":"https://pith.science/pith/ZFNF7TMZL4SAS3MQMUDSY4SAOB","bundle":"https://pith.science/pith/ZFNF7TMZL4SAS3MQMUDSY4SAOB/bundle.json","state":"https://pith.science/pith/ZFNF7TMZL4SAS3MQMUDSY4SAOB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZFNF7TMZL4SAS3MQMUDSY4SAOB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZFNF7TMZL4SAS3MQMUDSY4SAOB","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":"46b7b47171d328f7984c6580b8fb4316aa64aab979adfef3e782cb47bad4ed60","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-01-07T21:40:39Z","title_canon_sha256":"76e48fe6e6e99c61971bc57d21d503d85db3d190fd43504346db4da624e0e295"},"schema_version":"1.0","source":{"id":"1301.1355","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1355","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1355v2","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1355","created_at":"2026-05-18T03:18:29Z"},{"alias_kind":"pith_short_12","alias_value":"ZFNF7TMZL4SA","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZFNF7TMZL4SAS3MQ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZFNF7TMZ","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:ffacebfcbec26f9e79daa0a6ac5c85b9760d8ad41107344457cd972a56b009c8","target":"graph","created_at":"2026-05-18T03:18:29Z","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"},"paper":{"abstract_excerpt":"We investigate the eigenmodes of the massless Dirac operator to extract the scale-dependent fermion mass anomalous dimension gamma_m(mu). By combining simulations on multiple lattice volumes, and when possible several gauge couplings, we are able to measure the anomalous dimension across a wide range of energy scales. The method that we present is universal and can be applied to any lattice model of interest, including both conformal or chirally broken systems. We consider SU(3) lattice gauge theories with Nf=4, 8 and 12 light or massless fermions. The 4-flavor model behaves as expected for a ","authors_text":"Anna Hasenfratz, Anqi Cheng, David Schaich, Gregory Petropoulos","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-01-07T21:40:39Z","title":"Scale-dependent mass anomalous dimension from Dirac eigenmodes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1355","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":"sha256:1a9f30de39cfde6ab2d2d5feaa5ddfb8132b5a7393078c18aea7546c3b5d1edb","target":"record","created_at":"2026-05-18T03:18:29Z","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":"46b7b47171d328f7984c6580b8fb4316aa64aab979adfef3e782cb47bad4ed60","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-01-07T21:40:39Z","title_canon_sha256":"76e48fe6e6e99c61971bc57d21d503d85db3d190fd43504346db4da624e0e295"},"schema_version":"1.0","source":{"id":"1301.1355","kind":"arxiv","version":2}},"canonical_sha256":"c95a5fcd995f24096d9065072c724070578641f99b39dd8fe43c10b6ec187969","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c95a5fcd995f24096d9065072c724070578641f99b39dd8fe43c10b6ec187969","first_computed_at":"2026-05-18T03:18:29.311545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:29.311545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TtFds7KtkDkN46/m3oTnbwG4WoZL3Kn4IVGRTjbDdm3Vr/tTWk0YGEFe4FU1QDumODQarjp27DObu+/pusSFDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:29.311983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1355","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a9f30de39cfde6ab2d2d5feaa5ddfb8132b5a7393078c18aea7546c3b5d1edb","sha256:ffacebfcbec26f9e79daa0a6ac5c85b9760d8ad41107344457cd972a56b009c8"],"state_sha256":"b2b770c76f23fc59295fa0e06827cd31ad0e1c907268a0a2302c6d12cdc9a2b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dEnCteI5mBLERoI+FQJSF9mzXFBzypBnhOWWdBd3AUfYBuqhLLE5yALod9BT7cHuH/2r2qpNz5tDFqeOsRBgCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T21:05:12.723296Z","bundle_sha256":"49f3c80641b37717f9939f9b3753904cecd9c255dacef60d1ebaec74ad7e5fc5"}}