{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:IVLDBJF2YF5BTJW55Z7AYCQHMN","short_pith_number":"pith:IVLDBJF2","canonical_record":{"source":{"id":"hep-lat/9909083","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-10T14:13:31Z","cross_cats_sorted":[],"title_canon_sha256":"d291ca049dc0fada5a7ba517e231420f7b23babbc580df98631dd66a87aec34c","abstract_canon_sha256":"d54e43ace86973ca8559f05f279b41dae3e7a273f26d5acb057ccf8bcbfbd2a7"},"schema_version":"1.0"},"canonical_sha256":"455630a4bac17a19a6ddee7e0c0a07635a76dbf90006de77fb2aaf10d38ad664","source":{"kind":"arxiv","id":"hep-lat/9909083","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9909083","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9909083v1","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9909083","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"IVLDBJF2YF5B","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"IVLDBJF2YF5BTJW5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"IVLDBJF2","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:IVLDBJF2YF5BTJW55Z7AYCQHMN","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9909083","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-10T14:13:31Z","cross_cats_sorted":[],"title_canon_sha256":"d291ca049dc0fada5a7ba517e231420f7b23babbc580df98631dd66a87aec34c","abstract_canon_sha256":"d54e43ace86973ca8559f05f279b41dae3e7a273f26d5acb057ccf8bcbfbd2a7"},"schema_version":"1.0"},"canonical_sha256":"455630a4bac17a19a6ddee7e0c0a07635a76dbf90006de77fb2aaf10d38ad664","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:10.852137Z","signature_b64":"zn2LEH5brW0luOpuxioxwGNA0aRN+82Mlbq4DS+I6LkcbGfAj5JnWdC0bTukQFt9nF9UdM2szA4RTlYgbotYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"455630a4bac17a19a6ddee7e0c0a07635a76dbf90006de77fb2aaf10d38ad664","last_reissued_at":"2026-05-18T01:39:10.851731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:10.851731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9909083","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":"2026-05-18T01:39:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mzgiW96kDgC2Z2W2sbE6Uemh1dh3Qt1Hx7iHL6fkB9yGZORYVgtPZluyd8JlbTql9zSYbISGwq1EJjvRGFwPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T18:30:31.215675Z"},"content_sha256":"6cfd1e8f19f3f3ef4d805688e25e14aaa2b924d422f5103ec5903bd2337f7c83","schema_version":"1.0","event_id":"sha256:6cfd1e8f19f3f3ef4d805688e25e14aaa2b924d422f5103ec5903bd2337f7c83"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:IVLDBJF2YF5BTJW55Z7AYCQHMN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbation Theory for Fat-link Fermion Actions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"C. Bernard, T. DeGrand","submitted_at":"1999-09-10T14:13:31Z","abstract_excerpt":"We discuss weak coupling perturbation theory for lattice actions in which the fermions couple to smeared gauge links. The normally large integrals that appear in lattice perturbation theory are drastically reduced. Even without detailed calculation, it is easy to determine to good accuracy the scale of the logarithms that appear in cases where an anomalous dimension is present. We describe several 1-loop examples for fat-link Wilson and clover fermions. including the additive mass shift, the relation between the lattice and MSbar quark masses, and the axial current renormalization factor ($Z_A"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9909083","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":"2026-05-18T01:39:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QrW+/GjYrKi2WMVR4Q4pp7VkVaqjf5Xhk3KU52zqZPFedRx/DBHZ42VbpSnnefCHBv0QY7xzZPyKyuPYiRMPBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T18:30:31.216037Z"},"content_sha256":"a945140a2d2bf2e9fb8fbcdbb435a52c89a1634c13434efd8bf9980d9911f256","schema_version":"1.0","event_id":"sha256:a945140a2d2bf2e9fb8fbcdbb435a52c89a1634c13434efd8bf9980d9911f256"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IVLDBJF2YF5BTJW55Z7AYCQHMN/bundle.json","state_url":"https://pith.science/pith/IVLDBJF2YF5BTJW55Z7AYCQHMN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IVLDBJF2YF5BTJW55Z7AYCQHMN/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":"2026-06-10T18:30:31Z","links":{"resolver":"https://pith.science/pith/IVLDBJF2YF5BTJW55Z7AYCQHMN","bundle":"https://pith.science/pith/IVLDBJF2YF5BTJW55Z7AYCQHMN/bundle.json","state":"https://pith.science/pith/IVLDBJF2YF5BTJW55Z7AYCQHMN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IVLDBJF2YF5BTJW55Z7AYCQHMN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:IVLDBJF2YF5BTJW55Z7AYCQHMN","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":"d54e43ace86973ca8559f05f279b41dae3e7a273f26d5acb057ccf8bcbfbd2a7","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-10T14:13:31Z","title_canon_sha256":"d291ca049dc0fada5a7ba517e231420f7b23babbc580df98631dd66a87aec34c"},"schema_version":"1.0","source":{"id":"hep-lat/9909083","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9909083","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9909083v1","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9909083","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"IVLDBJF2YF5B","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"IVLDBJF2YF5BTJW5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"IVLDBJF2","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:a945140a2d2bf2e9fb8fbcdbb435a52c89a1634c13434efd8bf9980d9911f256","target":"graph","created_at":"2026-05-18T01:39:10Z","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 discuss weak coupling perturbation theory for lattice actions in which the fermions couple to smeared gauge links. The normally large integrals that appear in lattice perturbation theory are drastically reduced. Even without detailed calculation, it is easy to determine to good accuracy the scale of the logarithms that appear in cases where an anomalous dimension is present. We describe several 1-loop examples for fat-link Wilson and clover fermions. including the additive mass shift, the relation between the lattice and MSbar quark masses, and the axial current renormalization factor ($Z_A","authors_text":"C. Bernard, T. DeGrand","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1999-09-10T14:13:31Z","title":"Perturbation Theory for Fat-link Fermion Actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9909083","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":"sha256:6cfd1e8f19f3f3ef4d805688e25e14aaa2b924d422f5103ec5903bd2337f7c83","target":"record","created_at":"2026-05-18T01:39:10Z","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":"d54e43ace86973ca8559f05f279b41dae3e7a273f26d5acb057ccf8bcbfbd2a7","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-10T14:13:31Z","title_canon_sha256":"d291ca049dc0fada5a7ba517e231420f7b23babbc580df98631dd66a87aec34c"},"schema_version":"1.0","source":{"id":"hep-lat/9909083","kind":"arxiv","version":1}},"canonical_sha256":"455630a4bac17a19a6ddee7e0c0a07635a76dbf90006de77fb2aaf10d38ad664","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"455630a4bac17a19a6ddee7e0c0a07635a76dbf90006de77fb2aaf10d38ad664","first_computed_at":"2026-05-18T01:39:10.851731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:10.851731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zn2LEH5brW0luOpuxioxwGNA0aRN+82Mlbq4DS+I6LkcbGfAj5JnWdC0bTukQFt9nF9UdM2szA4RTlYgbotYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:10.852137Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9909083","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cfd1e8f19f3f3ef4d805688e25e14aaa2b924d422f5103ec5903bd2337f7c83","sha256:a945140a2d2bf2e9fb8fbcdbb435a52c89a1634c13434efd8bf9980d9911f256"],"state_sha256":"127d5e5ebf294111ab27d40a84ff06ac6d7010d3946d8e32101389d22bb590b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vIogSd4+lvIv7Y9eqN7ewxNqI5WYwxwxyEgr6yUGYsuDH8j9B3lX4qCZ+y5z/LjQ1MLbhGSb/HdfJCadpp/sAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T18:30:31.218405Z","bundle_sha256":"123378c5a6bef61ed11778e0eb6a3a6057bc2d53e17d8db588f2195110c96797"}}