{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:XPAGDXAOQL4VM3UEBCOB37Q2MV","short_pith_number":"pith:XPAGDXAO","canonical_record":{"source":{"id":"hep-th/9604124","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-04-20T07:13:33Z","cross_cats_sorted":[],"title_canon_sha256":"e91d9ceef1d260c7d694fe99b7b9de0e9b240e1a5976fcd6f3b4619b53120954","abstract_canon_sha256":"4f80ce0ed09bb117465e580321923ee1ac0c558d54584a3be2674ca4a461545d"},"schema_version":"1.0"},"canonical_sha256":"bbc061dc0e82f9566e84089c1dfe1a65464d2aa2ab8627e8fabf00ff98c4d62c","source":{"kind":"arxiv","id":"hep-th/9604124","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9604124","created_at":"2026-07-04T16:02:07Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9604124v1","created_at":"2026-07-04T16:02:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9604124","created_at":"2026-07-04T16:02:07Z"},{"alias_kind":"pith_short_12","alias_value":"XPAGDXAOQL4V","created_at":"2026-07-04T16:02:07Z"},{"alias_kind":"pith_short_16","alias_value":"XPAGDXAOQL4VM3UE","created_at":"2026-07-04T16:02:07Z"},{"alias_kind":"pith_short_8","alias_value":"XPAGDXAO","created_at":"2026-07-04T16:02:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:XPAGDXAOQL4VM3UEBCOB37Q2MV","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9604124","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-04-20T07:13:33Z","cross_cats_sorted":[],"title_canon_sha256":"e91d9ceef1d260c7d694fe99b7b9de0e9b240e1a5976fcd6f3b4619b53120954","abstract_canon_sha256":"4f80ce0ed09bb117465e580321923ee1ac0c558d54584a3be2674ca4a461545d"},"schema_version":"1.0"},"canonical_sha256":"bbc061dc0e82f9566e84089c1dfe1a65464d2aa2ab8627e8fabf00ff98c4d62c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:02:07.494492Z","signature_b64":"EznJSBlx2HTtsTh5SK8usNlFNW+O8xM4A1ih0i46XCdNgeW4o+hMjEaSmk0ZsCAUZd42L3ZcIC0XTSWlBwfaCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbc061dc0e82f9566e84089c1dfe1a65464d2aa2ab8627e8fabf00ff98c4d62c","last_reissued_at":"2026-07-04T16:02:07.494144Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:02:07.494144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9604124","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":"2026-07-04T16:02:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fsCHbjlvEP23fPGWkDZaprOnTqbglhOywjhkKeRMsqutQRlBL/DNUjXpgsqH+j/wm4DfYHGD5pGZcGsECA7RCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:09:22.611352Z"},"content_sha256":"ccf781a3240baa932a8b231b5970f7fc309b4363c50e2834fc91815d51ffb4af","schema_version":"1.0","event_id":"sha256:ccf781a3240baa932a8b231b5970f7fc309b4363c50e2834fc91815d51ffb4af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:XPAGDXAOQL4VM3UEBCOB37Q2MV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization of the Topological Charge in Yang-Mills Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M.Reuter","submitted_at":"1996-04-20T07:13:33Z","abstract_excerpt":"The conditions leading to a nontrivial renormalization of the topological charge in four--dimensional Yang--Mills theory are discussed. It is shown that if the topological term is regarded as the limit of a certain nontopological interaction, quantum effects due to the gauge bosons lead to a finite multiplicative renormalization of the theta--parameter while fermions give rise to an additional shift of theta. A truncated form of an exact renormalization group equation is used to study the scale dependence of the theta--parameter. Possible implications for the strong CP--problem of QCD are disc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9604124","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9604124/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:02:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8T/sOeFzqqpZXDxPrm75E0nS4mDZnKi5v6Qiwmky9WQG550b50tk3CxYUC8Eb3mgFbr6ImYV+rZdMKDyJInaAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:09:22.611963Z"},"content_sha256":"e658e9737dae966e4ee5dd2ec7b60835895cebf60b97048119a2f61381572e28","schema_version":"1.0","event_id":"sha256:e658e9737dae966e4ee5dd2ec7b60835895cebf60b97048119a2f61381572e28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XPAGDXAOQL4VM3UEBCOB37Q2MV/bundle.json","state_url":"https://pith.science/pith/XPAGDXAOQL4VM3UEBCOB37Q2MV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XPAGDXAOQL4VM3UEBCOB37Q2MV/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":"2026-08-13T10:09:22Z","links":{"resolver":"https://pith.science/pith/XPAGDXAOQL4VM3UEBCOB37Q2MV","bundle":"https://pith.science/pith/XPAGDXAOQL4VM3UEBCOB37Q2MV/bundle.json","state":"https://pith.science/pith/XPAGDXAOQL4VM3UEBCOB37Q2MV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XPAGDXAOQL4VM3UEBCOB37Q2MV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:XPAGDXAOQL4VM3UEBCOB37Q2MV","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":"4f80ce0ed09bb117465e580321923ee1ac0c558d54584a3be2674ca4a461545d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-04-20T07:13:33Z","title_canon_sha256":"e91d9ceef1d260c7d694fe99b7b9de0e9b240e1a5976fcd6f3b4619b53120954"},"schema_version":"1.0","source":{"id":"hep-th/9604124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9604124","created_at":"2026-07-04T16:02:07Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9604124v1","created_at":"2026-07-04T16:02:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9604124","created_at":"2026-07-04T16:02:07Z"},{"alias_kind":"pith_short_12","alias_value":"XPAGDXAOQL4V","created_at":"2026-07-04T16:02:07Z"},{"alias_kind":"pith_short_16","alias_value":"XPAGDXAOQL4VM3UE","created_at":"2026-07-04T16:02:07Z"},{"alias_kind":"pith_short_8","alias_value":"XPAGDXAO","created_at":"2026-07-04T16:02:07Z"}],"graph_snapshots":[{"event_id":"sha256:e658e9737dae966e4ee5dd2ec7b60835895cebf60b97048119a2f61381572e28","target":"graph","created_at":"2026-07-04T16:02:07Z","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/hep-th/9604124/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The conditions leading to a nontrivial renormalization of the topological charge in four--dimensional Yang--Mills theory are discussed. It is shown that if the topological term is regarded as the limit of a certain nontopological interaction, quantum effects due to the gauge bosons lead to a finite multiplicative renormalization of the theta--parameter while fermions give rise to an additional shift of theta. A truncated form of an exact renormalization group equation is used to study the scale dependence of the theta--parameter. Possible implications for the strong CP--problem of QCD are disc","authors_text":"M.Reuter","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1996-04-20T07:13:33Z","title":"Renormalization of the Topological Charge in Yang-Mills Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9604124","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:ccf781a3240baa932a8b231b5970f7fc309b4363c50e2834fc91815d51ffb4af","target":"record","created_at":"2026-07-04T16:02:07Z","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":"4f80ce0ed09bb117465e580321923ee1ac0c558d54584a3be2674ca4a461545d","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-04-20T07:13:33Z","title_canon_sha256":"e91d9ceef1d260c7d694fe99b7b9de0e9b240e1a5976fcd6f3b4619b53120954"},"schema_version":"1.0","source":{"id":"hep-th/9604124","kind":"arxiv","version":1}},"canonical_sha256":"bbc061dc0e82f9566e84089c1dfe1a65464d2aa2ab8627e8fabf00ff98c4d62c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbc061dc0e82f9566e84089c1dfe1a65464d2aa2ab8627e8fabf00ff98c4d62c","first_computed_at":"2026-07-04T16:02:07.494144Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:02:07.494144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EznJSBlx2HTtsTh5SK8usNlFNW+O8xM4A1ih0i46XCdNgeW4o+hMjEaSmk0ZsCAUZd42L3ZcIC0XTSWlBwfaCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:02:07.494492Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9604124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccf781a3240baa932a8b231b5970f7fc309b4363c50e2834fc91815d51ffb4af","sha256:e658e9737dae966e4ee5dd2ec7b60835895cebf60b97048119a2f61381572e28"],"state_sha256":"71bda3b8cc64245664ec1f03aa94f3184ddf93e48ae04da9f0953905228a2a55"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NLITzKQhel1aLHxevMeG0wHuXa6qz4NZ7gGAblM+iQj6l08dcT81r7IyryoBY1gKAkDrzhBpnftOFu025OS0Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T10:09:22.621729Z","bundle_sha256":"fe3605fcdf432f8b0cbdb1b037d0d26322d2d1fca0dc11603e97a27b9990e96c"}}