{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:C6C5E4FNNDD7NO7FIEJNWKLGOX","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":"f1bb65946b9c2bee4459fd3de36c2f07cbd20b7c304b3342e4d50503fc01be1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-12-14T19:00:10Z","title_canon_sha256":"693e7968ad0238f26bc50150f69e71d8d11ffabfab9f53d59d9494b979aff815"},"schema_version":"1.0","source":{"id":"2112.07694","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.07694","created_at":"2026-07-05T04:11:53Z"},{"alias_kind":"arxiv_version","alias_value":"2112.07694v2","created_at":"2026-07-05T04:11:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.07694","created_at":"2026-07-05T04:11:53Z"},{"alias_kind":"pith_short_12","alias_value":"C6C5E4FNNDD7","created_at":"2026-07-05T04:11:53Z"},{"alias_kind":"pith_short_16","alias_value":"C6C5E4FNNDD7NO7F","created_at":"2026-07-05T04:11:53Z"},{"alias_kind":"pith_short_8","alias_value":"C6C5E4FN","created_at":"2026-07-05T04:11:53Z"}],"graph_snapshots":[{"event_id":"sha256:6675073abcd217ab976b54b6b9fe5457c946d9f4c7823ab3a8f33b40def36ea0","target":"graph","created_at":"2026-07-05T04:11:53Z","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/2112.07694/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Loop diagram calculations typically rely on reduction to a finite set of master integrals in $4 - 2\\epsilon$ dimensions. It has been shown that for any problem, the masters can be chosen so that their coefficients are finite as $\\epsilon \\rightarrow 0$. I propose a definition of renormalized $\\epsilon$-finite master integrals, which incorporate ultraviolet divergence subtractions in a specific way. A key advantage of this choice is that in expressions for physical observables, expansions to positive powers in $\\epsilon$ are never needed. As an example, I provide the subtractions for general th","authors_text":"Stephen P. Martin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-12-14T19:00:10Z","title":"Renormalized $\\epsilon$-finite master integrals and their virtues: the three-loop self energy case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.07694","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:adadecae87d1e78d1af67cd615f856984d84806729ee4de208e440895de8a960","target":"record","created_at":"2026-07-05T04:11:53Z","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":"f1bb65946b9c2bee4459fd3de36c2f07cbd20b7c304b3342e4d50503fc01be1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-12-14T19:00:10Z","title_canon_sha256":"693e7968ad0238f26bc50150f69e71d8d11ffabfab9f53d59d9494b979aff815"},"schema_version":"1.0","source":{"id":"2112.07694","kind":"arxiv","version":2}},"canonical_sha256":"1785d270ad68c7f6bbe54112db296675f5804a4cd89a4f754bf242dee7523a4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1785d270ad68c7f6bbe54112db296675f5804a4cd89a4f754bf242dee7523a4f","first_computed_at":"2026-07-05T04:11:53.360679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:11:53.360679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cnEpuJkSLf1pKEJOAVqGqO1Cm8BQLQajWWle5JFagRmwBWX6vkMX087+fyJbt7Q8azoSQlkRQTtEYbiVtBLCDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:11:53.361144Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.07694","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adadecae87d1e78d1af67cd615f856984d84806729ee4de208e440895de8a960","sha256:6675073abcd217ab976b54b6b9fe5457c946d9f4c7823ab3a8f33b40def36ea0"],"state_sha256":"631e995c74f325a6044377c180218c4225f2b28522693670e50c24c073eec180"}