{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:GGFHSPZTUAAUXOZZZHZCF2LTHJ","short_pith_number":"pith:GGFHSPZT","canonical_record":{"source":{"id":"1608.05496","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-08-19T05:16:34Z","cross_cats_sorted":[],"title_canon_sha256":"1747b6136e714573a213c288499903c1feeeaa9839a118a7e3f51f27a58a8010","abstract_canon_sha256":"13c58da5eac83c27bbed7eb86ee19ae38d7d12b62a520120c62f87ef14cba3ed"},"schema_version":"1.0"},"canonical_sha256":"318a793f33a0014bbb39c9f222e9733a48130db1d9beb344d4cb416aa9b51aa2","source":{"kind":"arxiv","id":"1608.05496","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.05496","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"arxiv_version","alias_value":"1608.05496v2","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.05496","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"pith_short_12","alias_value":"GGFHSPZTUAAU","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GGFHSPZTUAAUXOZZ","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GGFHSPZT","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:GGFHSPZTUAAUXOZZZHZCF2LTHJ","target":"record","payload":{"canonical_record":{"source":{"id":"1608.05496","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-08-19T05:16:34Z","cross_cats_sorted":[],"title_canon_sha256":"1747b6136e714573a213c288499903c1feeeaa9839a118a7e3f51f27a58a8010","abstract_canon_sha256":"13c58da5eac83c27bbed7eb86ee19ae38d7d12b62a520120c62f87ef14cba3ed"},"schema_version":"1.0"},"canonical_sha256":"318a793f33a0014bbb39c9f222e9733a48130db1d9beb344d4cb416aa9b51aa2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:47.111256Z","signature_b64":"EITthKmCCZ8EhSyv8U4ydMMeTNZQghahMkoQmXk8en3Xuk3c/NP/0OE9wDqoT59hNQR6Ah4MRYBime4eJe7jDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"318a793f33a0014bbb39c9f222e9733a48130db1d9beb344d4cb416aa9b51aa2","last_reissued_at":"2026-05-18T00:51:47.110568Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:47.110568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.05496","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":"2026-05-18T00:51:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OndR0hWmK/j1fBtRJJbNDhcPvGFy6VN3Vz93xSuuLw8iX3nfEVAV4Q+OJU9WSu2Mfm6cii3zXkDmn9xnIcr4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:41:53.038611Z"},"content_sha256":"7442bfc54dedd0201e3d2e53d815f0b4402f7ed993c3a38a7ddf1c89a6a4a224","schema_version":"1.0","event_id":"sha256:7442bfc54dedd0201e3d2e53d815f0b4402f7ed993c3a38a7ddf1c89a6a4a224"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:GGFHSPZTUAAUXOZZZHZCF2LTHJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge Symmetry Breaking Patterns in an SU(5) Grand Gauge-Higgs Unification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Kazunori Takenaga, Kentaro Kojima, Toshifumi Yamashita","submitted_at":"2016-08-19T05:16:34Z","abstract_excerpt":"We study gauge symmetry breaking patterns of the five-dimensional $SU(5)$ grand gauge-Higgs unification compactified on an orbifold $S^1/{\\mathbb Z}_2$ with the Hosotani mechanism in the framework of the diagonal embedding method. We find matter contents that lead to the $SU(3)\\times SU(2)\\times U(1)$ gauge symmetry on the global minimum of the effective potential and also present examples of matter content for which each regular subgroup of $SU(5)$ is realized as vacuum configuration. The finite temperature phase transitions for the models with the gauge symmetry of the standard model at zero"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.05496","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":"2026-05-18T00:51:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w4ol0rJDl+XUEbu7w8Mh9f+0wn1LM2q75ayN63QD5DK37QvvYeFr484aRw2MRa0CqvI3eMb1U0Em8TE2kkQUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:41:53.039357Z"},"content_sha256":"c2283d6a6ddd75334788fdcbbfe9d5f0004315d45083b858f24ed56a6dc7f920","schema_version":"1.0","event_id":"sha256:c2283d6a6ddd75334788fdcbbfe9d5f0004315d45083b858f24ed56a6dc7f920"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GGFHSPZTUAAUXOZZZHZCF2LTHJ/bundle.json","state_url":"https://pith.science/pith/GGFHSPZTUAAUXOZZZHZCF2LTHJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GGFHSPZTUAAUXOZZZHZCF2LTHJ/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":"2026-06-11T21:41:53Z","links":{"resolver":"https://pith.science/pith/GGFHSPZTUAAUXOZZZHZCF2LTHJ","bundle":"https://pith.science/pith/GGFHSPZTUAAUXOZZZHZCF2LTHJ/bundle.json","state":"https://pith.science/pith/GGFHSPZTUAAUXOZZZHZCF2LTHJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GGFHSPZTUAAUXOZZZHZCF2LTHJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GGFHSPZTUAAUXOZZZHZCF2LTHJ","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":"13c58da5eac83c27bbed7eb86ee19ae38d7d12b62a520120c62f87ef14cba3ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-08-19T05:16:34Z","title_canon_sha256":"1747b6136e714573a213c288499903c1feeeaa9839a118a7e3f51f27a58a8010"},"schema_version":"1.0","source":{"id":"1608.05496","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.05496","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"arxiv_version","alias_value":"1608.05496v2","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.05496","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"pith_short_12","alias_value":"GGFHSPZTUAAU","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GGFHSPZTUAAUXOZZ","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GGFHSPZT","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:c2283d6a6ddd75334788fdcbbfe9d5f0004315d45083b858f24ed56a6dc7f920","target":"graph","created_at":"2026-05-18T00:51:47Z","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 study gauge symmetry breaking patterns of the five-dimensional $SU(5)$ grand gauge-Higgs unification compactified on an orbifold $S^1/{\\mathbb Z}_2$ with the Hosotani mechanism in the framework of the diagonal embedding method. We find matter contents that lead to the $SU(3)\\times SU(2)\\times U(1)$ gauge symmetry on the global minimum of the effective potential and also present examples of matter content for which each regular subgroup of $SU(5)$ is realized as vacuum configuration. The finite temperature phase transitions for the models with the gauge symmetry of the standard model at zero","authors_text":"Kazunori Takenaga, Kentaro Kojima, Toshifumi Yamashita","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-08-19T05:16:34Z","title":"Gauge Symmetry Breaking Patterns in an SU(5) Grand Gauge-Higgs Unification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.05496","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":"sha256:7442bfc54dedd0201e3d2e53d815f0b4402f7ed993c3a38a7ddf1c89a6a4a224","target":"record","created_at":"2026-05-18T00:51:47Z","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":"13c58da5eac83c27bbed7eb86ee19ae38d7d12b62a520120c62f87ef14cba3ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-08-19T05:16:34Z","title_canon_sha256":"1747b6136e714573a213c288499903c1feeeaa9839a118a7e3f51f27a58a8010"},"schema_version":"1.0","source":{"id":"1608.05496","kind":"arxiv","version":2}},"canonical_sha256":"318a793f33a0014bbb39c9f222e9733a48130db1d9beb344d4cb416aa9b51aa2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"318a793f33a0014bbb39c9f222e9733a48130db1d9beb344d4cb416aa9b51aa2","first_computed_at":"2026-05-18T00:51:47.110568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:47.110568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EITthKmCCZ8EhSyv8U4ydMMeTNZQghahMkoQmXk8en3Xuk3c/NP/0OE9wDqoT59hNQR6Ah4MRYBime4eJe7jDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:47.111256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.05496","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7442bfc54dedd0201e3d2e53d815f0b4402f7ed993c3a38a7ddf1c89a6a4a224","sha256:c2283d6a6ddd75334788fdcbbfe9d5f0004315d45083b858f24ed56a6dc7f920"],"state_sha256":"75c7d4b827e09e4bb3ce0648d1171dd2ee167f02b7f555fabfef6ec6c500ee22"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"La9xQSzn0sMZfcxHJGgn9+H76rkxtDLhrb6jZgTU2HjDt2hWzb5M7JhYETIZuQx8E5KNrcrccMJAdU7wor6wCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T21:41:53.043232Z","bundle_sha256":"bb7d17d6a10bedf6aa6d0ea618d30d05a528251498f5ad00d34d4d373cc5d2fa"}}