{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:ZWZM7LK7R7LPHMNAAENZHFHGD4","short_pith_number":"pith:ZWZM7LK7","canonical_record":{"source":{"id":"hep-th/0305208","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-05-23T13:38:51Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"55c03084ebcebbafd30f234cf1fdbc7a295ceb3076be091a97a80ce117bcc1a9","abstract_canon_sha256":"647ed599b3aeb67d653f8801fbd2b55753a5f1204658a2d6c06afd7c270a4d6c"},"schema_version":"1.0"},"canonical_sha256":"cdb2cfad5f8fd6f3b1a0011b9394e61f16433b9cab216c4a3a730c110d86354b","source":{"kind":"arxiv","id":"hep-th/0305208","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0305208","created_at":"2026-07-04T16:41:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0305208v1","created_at":"2026-07-04T16:41:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0305208","created_at":"2026-07-04T16:41:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZWZM7LK7R7LP","created_at":"2026-07-04T16:41:16Z"},{"alias_kind":"pith_short_16","alias_value":"ZWZM7LK7R7LPHMNA","created_at":"2026-07-04T16:41:16Z"},{"alias_kind":"pith_short_8","alias_value":"ZWZM7LK7","created_at":"2026-07-04T16:41:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:ZWZM7LK7R7LPHMNAAENZHFHGD4","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0305208","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-05-23T13:38:51Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"55c03084ebcebbafd30f234cf1fdbc7a295ceb3076be091a97a80ce117bcc1a9","abstract_canon_sha256":"647ed599b3aeb67d653f8801fbd2b55753a5f1204658a2d6c06afd7c270a4d6c"},"schema_version":"1.0"},"canonical_sha256":"cdb2cfad5f8fd6f3b1a0011b9394e61f16433b9cab216c4a3a730c110d86354b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:16.650531Z","signature_b64":"5Qd/eWNziTzf0FKuiMjytJaMmqeNu5oOm4ZOvj2VbRrl2N/empwhjk6LxMfasQLOFTjjwH5dReEuFqp+xNR1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdb2cfad5f8fd6f3b1a0011b9394e61f16433b9cab216c4a3a730c110d86354b","last_reissued_at":"2026-07-04T16:41:16.650044Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:16.650044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0305208","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":"2026-07-04T16:41:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s5qZcqPy5H6Ex/9eS+WkEv2A2LiAzsWXzfj+c98p6TQXQ2OEUDR9f+VvmRHhSRA/XmRDUs592NaOOIpsDAx9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:36:37.040334Z"},"content_sha256":"5d049918578b9f4ed73711afaf6b19112f4d50e3dad6053eeaccba717cb00895","schema_version":"1.0","event_id":"sha256:5d049918578b9f4ed73711afaf6b19112f4d50e3dad6053eeaccba717cb00895"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:ZWZM7LK7R7LPHMNAAENZHFHGD4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalizability of gauge theories in extra dimensions","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Heidelberg U.), Holger Gies (CERN","submitted_at":"2003-05-23T13:38:51Z","abstract_excerpt":"We analyze the possibility of nonperturbative renormalizability of gauge theories in D > 4 dimensions. We develop a scenario, based on Weinberg's idea of asymptotic safety, that allows for renormalizability in extra dimensions owing to a non-Gaussian ultraviolet stable fixed point. Our scenario predicts a critical dimension D_cr beyond which the UV fixed point vanishes, such that renormalizability is possible for D <= D_cr. Within the framework of exact RG equations, the critical dimension for various SU(N) gauge theories can be computed to lie near five dimensions: 5 ~< D_cr < 6. Therefore, o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0305208","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/0305208/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":"2026-07-04T16:41:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PEj8Uro/vDm+bFIw28I/F1OlorVqE8tcUaK4MOF5w2uXmU2XQZjB+kTDyDVSsyjabTvBXNlQoEaO1GpsDdaOBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:36:37.041183Z"},"content_sha256":"f07d23729c54aa12e112cb32dd5e3d803ff0aa481852d6120a74c941f86c7b6c","schema_version":"1.0","event_id":"sha256:f07d23729c54aa12e112cb32dd5e3d803ff0aa481852d6120a74c941f86c7b6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZWZM7LK7R7LPHMNAAENZHFHGD4/bundle.json","state_url":"https://pith.science/pith/ZWZM7LK7R7LPHMNAAENZHFHGD4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZWZM7LK7R7LPHMNAAENZHFHGD4/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":"2026-08-12T22:36:37Z","links":{"resolver":"https://pith.science/pith/ZWZM7LK7R7LPHMNAAENZHFHGD4","bundle":"https://pith.science/pith/ZWZM7LK7R7LPHMNAAENZHFHGD4/bundle.json","state":"https://pith.science/pith/ZWZM7LK7R7LPHMNAAENZHFHGD4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZWZM7LK7R7LPHMNAAENZHFHGD4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:ZWZM7LK7R7LPHMNAAENZHFHGD4","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":"647ed599b3aeb67d653f8801fbd2b55753a5f1204658a2d6c06afd7c270a4d6c","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-05-23T13:38:51Z","title_canon_sha256":"55c03084ebcebbafd30f234cf1fdbc7a295ceb3076be091a97a80ce117bcc1a9"},"schema_version":"1.0","source":{"id":"hep-th/0305208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0305208","created_at":"2026-07-04T16:41:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0305208v1","created_at":"2026-07-04T16:41:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0305208","created_at":"2026-07-04T16:41:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZWZM7LK7R7LP","created_at":"2026-07-04T16:41:16Z"},{"alias_kind":"pith_short_16","alias_value":"ZWZM7LK7R7LPHMNA","created_at":"2026-07-04T16:41:16Z"},{"alias_kind":"pith_short_8","alias_value":"ZWZM7LK7","created_at":"2026-07-04T16:41:16Z"}],"graph_snapshots":[{"event_id":"sha256:f07d23729c54aa12e112cb32dd5e3d803ff0aa481852d6120a74c941f86c7b6c","target":"graph","created_at":"2026-07-04T16:41:16Z","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/0305208/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze the possibility of nonperturbative renormalizability of gauge theories in D > 4 dimensions. We develop a scenario, based on Weinberg's idea of asymptotic safety, that allows for renormalizability in extra dimensions owing to a non-Gaussian ultraviolet stable fixed point. Our scenario predicts a critical dimension D_cr beyond which the UV fixed point vanishes, such that renormalizability is possible for D <= D_cr. Within the framework of exact RG equations, the critical dimension for various SU(N) gauge theories can be computed to lie near five dimensions: 5 ~< D_cr < 6. Therefore, o","authors_text":"Heidelberg U.), Holger Gies (CERN","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-05-23T13:38:51Z","title":"Renormalizability of gauge theories in extra dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0305208","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":"sha256:5d049918578b9f4ed73711afaf6b19112f4d50e3dad6053eeaccba717cb00895","target":"record","created_at":"2026-07-04T16:41:16Z","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":"647ed599b3aeb67d653f8801fbd2b55753a5f1204658a2d6c06afd7c270a4d6c","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-05-23T13:38:51Z","title_canon_sha256":"55c03084ebcebbafd30f234cf1fdbc7a295ceb3076be091a97a80ce117bcc1a9"},"schema_version":"1.0","source":{"id":"hep-th/0305208","kind":"arxiv","version":1}},"canonical_sha256":"cdb2cfad5f8fd6f3b1a0011b9394e61f16433b9cab216c4a3a730c110d86354b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdb2cfad5f8fd6f3b1a0011b9394e61f16433b9cab216c4a3a730c110d86354b","first_computed_at":"2026-07-04T16:41:16.650044Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:16.650044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5Qd/eWNziTzf0FKuiMjytJaMmqeNu5oOm4ZOvj2VbRrl2N/empwhjk6LxMfasQLOFTjjwH5dReEuFqp+xNR1Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:16.650531Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0305208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d049918578b9f4ed73711afaf6b19112f4d50e3dad6053eeaccba717cb00895","sha256:f07d23729c54aa12e112cb32dd5e3d803ff0aa481852d6120a74c941f86c7b6c"],"state_sha256":"76151ddae0645467baebbc02da6385e2bc713e0e1cef2688a725b28fdc33299c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9mfb7GKjeiXs5MVUEOg428OA6shP1ifwXa8nUC5nUos/TRvunusxKLu5lbyR71XRuRc1sZhjyhjVBTMG1InIAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T22:36:37.047402Z","bundle_sha256":"5f7b8a81f14d3816a42378e31562633442647a7f017bfcad38fa78acaba16a30"}}