{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:RGQHJUAGISU3WENQNWEGBAQKZ7","short_pith_number":"pith:RGQHJUAG","canonical_record":{"source":{"id":"1012.5604","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-27T12:31:30Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c7fb7eb9903fc04fd12a793d1553299d25e2b6d1dc20200519abfc4aedcbae8e","abstract_canon_sha256":"286535da5b5db650590e9db807dee359728bb91030cafaa3a9a5c734660aad24"},"schema_version":"1.0"},"canonical_sha256":"89a074d00644a9bb11b06d8860820acfd510307528174df8c473aa735f86467a","source":{"kind":"arxiv","id":"1012.5604","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5604","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5604v2","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5604","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"pith_short_12","alias_value":"RGQHJUAGISU3","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RGQHJUAGISU3WENQ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RGQHJUAG","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:RGQHJUAGISU3WENQNWEGBAQKZ7","target":"record","payload":{"canonical_record":{"source":{"id":"1012.5604","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-27T12:31:30Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c7fb7eb9903fc04fd12a793d1553299d25e2b6d1dc20200519abfc4aedcbae8e","abstract_canon_sha256":"286535da5b5db650590e9db807dee359728bb91030cafaa3a9a5c734660aad24"},"schema_version":"1.0"},"canonical_sha256":"89a074d00644a9bb11b06d8860820acfd510307528174df8c473aa735f86467a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:46.307519Z","signature_b64":"YgI27lm+HckNird82s64iEf2OPesk+LtE5I9GDw/bqVEfKXhfbcdlnnN0ZGRWIuy9eEO3huXwDyGOHvUof5kDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89a074d00644a9bb11b06d8860820acfd510307528174df8c473aa735f86467a","last_reissued_at":"2026-05-18T03:56:46.306869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:46.306869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.5604","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":"2026-05-18T03:56:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dOhFSsfQxiHovJItdn02Fso5aoqH8rC+JEeXBbA0xWKD+xUKoE0C4oU6En+WrOv8zVbaZ+EI8Ij96rMU85InAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:25:30.864091Z"},"content_sha256":"d74c06223c273dbc9c194b6995e5ce49211d94737547d95dd86c2be38156822b","schema_version":"1.0","event_id":"sha256:d74c06223c273dbc9c194b6995e5ce49211d94737547d95dd86c2be38156822b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:RGQHJUAGISU3WENQNWEGBAQKZ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Connection between the renormalization groups of St\\\"uckelberg-Petermann and Wilson","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Michael Duetsch","submitted_at":"2010-12-27T12:31:30Z","abstract_excerpt":"The Stueckelberg-Petermann renormalization group is the group of finite renormalizations of the S-matrix in the framework of causal perturbation theory. The renormalization group in the sense of Wilson relies usually on a functional integral formalism, it describes the dependence of the theory on a UV-cutoff $\\Lambda$; a widespread procedure is to construct the theory by solving Polchinski's flow equation for the effective potential.\n  To clarify the connection between these different approaches we proceed as follows: in the framework of causal perturbation theory we introduce an UV-cutoff $\\L"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5604","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":"2026-05-18T03:56:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZERaEn3tGUQjkjooqVgXBvkHpiiIy3opwTtwbhQGOTBrm+IeH/lmddLRUQvJ76kim5TXynQCVC+Ttr48NDApCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:25:30.864790Z"},"content_sha256":"a7655ae116b308691eed288178eda002a42f626c07a0f461b9b280cd152e4b95","schema_version":"1.0","event_id":"sha256:a7655ae116b308691eed288178eda002a42f626c07a0f461b9b280cd152e4b95"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RGQHJUAGISU3WENQNWEGBAQKZ7/bundle.json","state_url":"https://pith.science/pith/RGQHJUAGISU3WENQNWEGBAQKZ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RGQHJUAGISU3WENQNWEGBAQKZ7/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":"2026-05-26T02:25:30Z","links":{"resolver":"https://pith.science/pith/RGQHJUAGISU3WENQNWEGBAQKZ7","bundle":"https://pith.science/pith/RGQHJUAGISU3WENQNWEGBAQKZ7/bundle.json","state":"https://pith.science/pith/RGQHJUAGISU3WENQNWEGBAQKZ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RGQHJUAGISU3WENQNWEGBAQKZ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:RGQHJUAGISU3WENQNWEGBAQKZ7","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":"286535da5b5db650590e9db807dee359728bb91030cafaa3a9a5c734660aad24","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-27T12:31:30Z","title_canon_sha256":"c7fb7eb9903fc04fd12a793d1553299d25e2b6d1dc20200519abfc4aedcbae8e"},"schema_version":"1.0","source":{"id":"1012.5604","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5604","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5604v2","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5604","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"pith_short_12","alias_value":"RGQHJUAGISU3","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RGQHJUAGISU3WENQ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RGQHJUAG","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:a7655ae116b308691eed288178eda002a42f626c07a0f461b9b280cd152e4b95","target":"graph","created_at":"2026-05-18T03:56:46Z","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":"The Stueckelberg-Petermann renormalization group is the group of finite renormalizations of the S-matrix in the framework of causal perturbation theory. The renormalization group in the sense of Wilson relies usually on a functional integral formalism, it describes the dependence of the theory on a UV-cutoff $\\Lambda$; a widespread procedure is to construct the theory by solving Polchinski's flow equation for the effective potential.\n  To clarify the connection between these different approaches we proceed as follows: in the framework of causal perturbation theory we introduce an UV-cutoff $\\L","authors_text":"Michael Duetsch","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-27T12:31:30Z","title":"Connection between the renormalization groups of St\\\"uckelberg-Petermann and Wilson"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5604","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:d74c06223c273dbc9c194b6995e5ce49211d94737547d95dd86c2be38156822b","target":"record","created_at":"2026-05-18T03:56:46Z","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":"286535da5b5db650590e9db807dee359728bb91030cafaa3a9a5c734660aad24","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-27T12:31:30Z","title_canon_sha256":"c7fb7eb9903fc04fd12a793d1553299d25e2b6d1dc20200519abfc4aedcbae8e"},"schema_version":"1.0","source":{"id":"1012.5604","kind":"arxiv","version":2}},"canonical_sha256":"89a074d00644a9bb11b06d8860820acfd510307528174df8c473aa735f86467a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89a074d00644a9bb11b06d8860820acfd510307528174df8c473aa735f86467a","first_computed_at":"2026-05-18T03:56:46.306869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:46.306869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YgI27lm+HckNird82s64iEf2OPesk+LtE5I9GDw/bqVEfKXhfbcdlnnN0ZGRWIuy9eEO3huXwDyGOHvUof5kDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:46.307519Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.5604","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d74c06223c273dbc9c194b6995e5ce49211d94737547d95dd86c2be38156822b","sha256:a7655ae116b308691eed288178eda002a42f626c07a0f461b9b280cd152e4b95"],"state_sha256":"fe2e313810689bb7bad09f7a9e3049d5c9d8a085ca880b16cdd157486181a73d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0Fec9TSmfsgGVIeHHLHQ4MFSWU7I1mcKysOvLOJ2dY19Ko+HRO7CKIGqTgC0TYpHcmBkK1JzzMnvoEqW2rVlCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T02:25:30.868047Z","bundle_sha256":"9bfb2337db740f88c57cb30abae7c6b16e400c9259150d48d59ff46be6ce0dc4"}}