{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:G7JEIWNYGWEE7LBLDBEIBBX5SI","short_pith_number":"pith:G7JEIWNY","canonical_record":{"source":{"id":"hep-ph/0611341","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-11-28T00:18:04Z","cross_cats_sorted":[],"title_canon_sha256":"21804314a23fd984ca85a4fcf15c360dda0d7c9edf3714458580fc70e75053b7","abstract_canon_sha256":"eaa4759a36b90f930dcf9f2f5529d3ccd891d18be5305a3201abb4157e2522ac"},"schema_version":"1.0"},"canonical_sha256":"37d24459b835884fac2b18488086fd9210ea955c05503c236e008b8f40fa2cfc","source":{"kind":"arxiv","id":"hep-ph/0611341","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0611341","created_at":"2026-07-04T17:25:24Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0611341v1","created_at":"2026-07-04T17:25:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0611341","created_at":"2026-07-04T17:25:24Z"},{"alias_kind":"pith_short_12","alias_value":"G7JEIWNYGWEE","created_at":"2026-07-04T17:25:24Z"},{"alias_kind":"pith_short_16","alias_value":"G7JEIWNYGWEE7LBL","created_at":"2026-07-04T17:25:24Z"},{"alias_kind":"pith_short_8","alias_value":"G7JEIWNY","created_at":"2026-07-04T17:25:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:G7JEIWNYGWEE7LBLDBEIBBX5SI","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0611341","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-11-28T00:18:04Z","cross_cats_sorted":[],"title_canon_sha256":"21804314a23fd984ca85a4fcf15c360dda0d7c9edf3714458580fc70e75053b7","abstract_canon_sha256":"eaa4759a36b90f930dcf9f2f5529d3ccd891d18be5305a3201abb4157e2522ac"},"schema_version":"1.0"},"canonical_sha256":"37d24459b835884fac2b18488086fd9210ea955c05503c236e008b8f40fa2cfc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:25:24.056945Z","signature_b64":"wGsOTDdHx2c/xrXEiLkiPWFiRuTR6L5NP2T+bY92GcGmBTdtKqpp6zEebVmKVwICTKLwVfbB9dC/JICd4URxCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37d24459b835884fac2b18488086fd9210ea955c05503c236e008b8f40fa2cfc","last_reissued_at":"2026-07-04T17:25:24.056554Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:25:24.056554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0611341","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":"2026-07-04T17:25:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nCaWm2WOeRDPZ6xjv0YW53vv5LCUgtW6Rr5Bp5i4PCoQ/V1exFvO9GvM15C4rOg0KT7K5zREy6O/IhYlx4CQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T07:34:12.982160Z"},"content_sha256":"2157a6cb0535539b1cd6d732838640d547003db8a0350b7cea734939dfab26a0","schema_version":"1.0","event_id":"sha256:2157a6cb0535539b1cd6d732838640d547003db8a0350b7cea734939dfab26a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:G7JEIWNYGWEE7LBLDBEIBBX5SI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Walking in the SU(N)","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Dennis D. Dietrich, Francesco Sannino","submitted_at":"2006-11-28T00:18:04Z","abstract_excerpt":"We study the phase diagram as function of the number of colours and flavours of asymptotically free non-supersymmetric theories with matter in higher dimensional representations of arbitrary SU(N) gauge groups. Since matter in higher dimensional representations screens more than in the fundamental a general feature is that a lower number of flavours is needed to achieve a near-conformal theory. We study the spectrum of the theories near the fixed point and consider possible applications of our analysis to the dynamical breaking of the electroweak symmetry."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0611341","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-ph/0611341/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":"2026-07-04T17:25:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NJ+9z5cMDd0PtICWqWZHkCclmfGkRaPDtJDT5bvmCDsBWhBkWwJ5boVQ9J2qCGagw3MYNkbg0QHniEdcLMXBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T07:34:12.982868Z"},"content_sha256":"0cfd124fd645e481e67632158a6cdf218da6cb9f867ec74ccdd2ab677985bcf9","schema_version":"1.0","event_id":"sha256:0cfd124fd645e481e67632158a6cdf218da6cb9f867ec74ccdd2ab677985bcf9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G7JEIWNYGWEE7LBLDBEIBBX5SI/bundle.json","state_url":"https://pith.science/pith/G7JEIWNYGWEE7LBLDBEIBBX5SI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G7JEIWNYGWEE7LBLDBEIBBX5SI/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":"2026-08-21T07:34:12Z","links":{"resolver":"https://pith.science/pith/G7JEIWNYGWEE7LBLDBEIBBX5SI","bundle":"https://pith.science/pith/G7JEIWNYGWEE7LBLDBEIBBX5SI/bundle.json","state":"https://pith.science/pith/G7JEIWNYGWEE7LBLDBEIBBX5SI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G7JEIWNYGWEE7LBLDBEIBBX5SI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:G7JEIWNYGWEE7LBLDBEIBBX5SI","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":"eaa4759a36b90f930dcf9f2f5529d3ccd891d18be5305a3201abb4157e2522ac","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-11-28T00:18:04Z","title_canon_sha256":"21804314a23fd984ca85a4fcf15c360dda0d7c9edf3714458580fc70e75053b7"},"schema_version":"1.0","source":{"id":"hep-ph/0611341","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0611341","created_at":"2026-07-04T17:25:24Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0611341v1","created_at":"2026-07-04T17:25:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0611341","created_at":"2026-07-04T17:25:24Z"},{"alias_kind":"pith_short_12","alias_value":"G7JEIWNYGWEE","created_at":"2026-07-04T17:25:24Z"},{"alias_kind":"pith_short_16","alias_value":"G7JEIWNYGWEE7LBL","created_at":"2026-07-04T17:25:24Z"},{"alias_kind":"pith_short_8","alias_value":"G7JEIWNY","created_at":"2026-07-04T17:25:24Z"}],"graph_snapshots":[{"event_id":"sha256:0cfd124fd645e481e67632158a6cdf218da6cb9f867ec74ccdd2ab677985bcf9","target":"graph","created_at":"2026-07-04T17:25:24Z","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-ph/0611341/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the phase diagram as function of the number of colours and flavours of asymptotically free non-supersymmetric theories with matter in higher dimensional representations of arbitrary SU(N) gauge groups. Since matter in higher dimensional representations screens more than in the fundamental a general feature is that a lower number of flavours is needed to achieve a near-conformal theory. We study the spectrum of the theories near the fixed point and consider possible applications of our analysis to the dynamical breaking of the electroweak symmetry.","authors_text":"Dennis D. Dietrich, Francesco Sannino","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2006-11-28T00:18:04Z","title":"Walking in the SU(N)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0611341","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":"sha256:2157a6cb0535539b1cd6d732838640d547003db8a0350b7cea734939dfab26a0","target":"record","created_at":"2026-07-04T17:25:24Z","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":"eaa4759a36b90f930dcf9f2f5529d3ccd891d18be5305a3201abb4157e2522ac","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-11-28T00:18:04Z","title_canon_sha256":"21804314a23fd984ca85a4fcf15c360dda0d7c9edf3714458580fc70e75053b7"},"schema_version":"1.0","source":{"id":"hep-ph/0611341","kind":"arxiv","version":1}},"canonical_sha256":"37d24459b835884fac2b18488086fd9210ea955c05503c236e008b8f40fa2cfc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37d24459b835884fac2b18488086fd9210ea955c05503c236e008b8f40fa2cfc","first_computed_at":"2026-07-04T17:25:24.056554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:24.056554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wGsOTDdHx2c/xrXEiLkiPWFiRuTR6L5NP2T+bY92GcGmBTdtKqpp6zEebVmKVwICTKLwVfbB9dC/JICd4URxCw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:24.056945Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0611341","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2157a6cb0535539b1cd6d732838640d547003db8a0350b7cea734939dfab26a0","sha256:0cfd124fd645e481e67632158a6cdf218da6cb9f867ec74ccdd2ab677985bcf9"],"state_sha256":"e50096e82a26cbf29c5ad0aa8018b173ed011e7ebb33d9e2211f128be469a527"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KBW+E4rTbC6igcHsGXlVp4ygNXXXAvL1VvC/knHsUnlj5RlAm836rSwFFFidc63o8YJi+c9rLufWDCimWzFMCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T07:34:12.986109Z","bundle_sha256":"fe992da31f2e635538fb06a52a08dbbd57fce69ebea511aeaab55809b44b49c6"}}