{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:6BTJKYNMO2YAYLLJOD2J5J4N7L","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":"1c8156c77ddac334b73d20ce4563a621e29c76d85be93b4d792bcbef6dd76841","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-19T16:48:02Z","title_canon_sha256":"debd61e1e1e88cc1e19e36c16c40f42841d4f658da6335057f68458d7acd2866"},"schema_version":"1.0","source":{"id":"0812.3846","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.3846","created_at":"2026-05-18T04:16:23Z"},{"alias_kind":"arxiv_version","alias_value":"0812.3846v2","created_at":"2026-05-18T04:16:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.3846","created_at":"2026-05-18T04:16:23Z"},{"alias_kind":"pith_short_12","alias_value":"6BTJKYNMO2YA","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"6BTJKYNMO2YAYLLJ","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"6BTJKYNM","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:e7c1a80425b1eb820ede07532c1ead289aa470621bdba36740f0f8a76e4fcc03","target":"graph","created_at":"2026-05-18T04:16:23Z","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 show that to n loop order the divergent content of a Feynman amplitude is spanned by a set of basic (logarithmically divergent) integrals which need not be evaluated. Only the coefficients of the basic divergent integrals are necessary to determine renormalization group functions. Relations between these coefficients of different loop orders are derived.","authors_text":"A. P. Ba\\^eta Scarpelli, H. G. Fargnoli, L. C. T. Brito, Marcos Sampaio, M. C. Nemes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-19T16:48:02Z","title":"Systematization of Basic Divergent Integrals in Perturbation Theory and Renormalization Group Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3846","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:dab5605b151f807df752196bf3d7a48b90d7021c68d41598a212a0be5fae0f54","target":"record","created_at":"2026-05-18T04:16:23Z","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":"1c8156c77ddac334b73d20ce4563a621e29c76d85be93b4d792bcbef6dd76841","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-19T16:48:02Z","title_canon_sha256":"debd61e1e1e88cc1e19e36c16c40f42841d4f658da6335057f68458d7acd2866"},"schema_version":"1.0","source":{"id":"0812.3846","kind":"arxiv","version":2}},"canonical_sha256":"f0669561ac76b00c2d6970f49ea78dfac089fb00c0287f14e65cab4be5a2f4cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0669561ac76b00c2d6970f49ea78dfac089fb00c0287f14e65cab4be5a2f4cf","first_computed_at":"2026-05-18T04:16:23.176558Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:23.176558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ltFDMhKYy/GMQkU0RUxekGqZlYc/zCiO6dyrEgx/A6fFukU0d4UALWxQv6NPfw42S7HzP1RGdP/7qe+ELsqBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:23.177268Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.3846","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dab5605b151f807df752196bf3d7a48b90d7021c68d41598a212a0be5fae0f54","sha256:e7c1a80425b1eb820ede07532c1ead289aa470621bdba36740f0f8a76e4fcc03"],"state_sha256":"bbff2e69f89a89b0124957ae278a80c8fc3c4799a7526a28bdb562786350f745"}