{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:X3KXBXMIKA4CN6G27HKHJOA5GG","short_pith_number":"pith:X3KXBXMI","canonical_record":{"source":{"id":"1105.3534","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-05-18T05:23:54Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"968142490aeb95dbd8ad47a5161ce4a93a3e83ccd149362ee80c026763cc955e","abstract_canon_sha256":"e3cf9402b737a3371cf1465860c8ee1dff5f60e884746710adf66d6c87be69dd"},"schema_version":"1.0"},"canonical_sha256":"bed570dd88503826f8daf9d474b81d31bbd14e7e7246e78352456a7a341e57d2","source":{"kind":"arxiv","id":"1105.3534","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3534","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3534v2","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3534","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"pith_short_12","alias_value":"X3KXBXMIKA4C","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X3KXBXMIKA4CN6G2","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X3KXBXMI","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:X3KXBXMIKA4CN6G27HKHJOA5GG","target":"record","payload":{"canonical_record":{"source":{"id":"1105.3534","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-05-18T05:23:54Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"968142490aeb95dbd8ad47a5161ce4a93a3e83ccd149362ee80c026763cc955e","abstract_canon_sha256":"e3cf9402b737a3371cf1465860c8ee1dff5f60e884746710adf66d6c87be69dd"},"schema_version":"1.0"},"canonical_sha256":"bed570dd88503826f8daf9d474b81d31bbd14e7e7246e78352456a7a341e57d2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:59.527671Z","signature_b64":"BDZ8hXwoo3f2+ZkBHBrRZvO61OQEFnNaTFHrDAwhEqNwJdLdiS3QuoAxcWixldjuQsBpA7Y7QNaJa13/Yw9fBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bed570dd88503826f8daf9d474b81d31bbd14e7e7246e78352456a7a341e57d2","last_reissued_at":"2026-05-18T02:21:59.526892Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:59.526892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.3534","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":"2026-05-18T02:21:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"74e5kyM4+bjP1Dyu5NKMKb3uV7Gasr80l3nHj6BfadVWBK6FfuBfu+K2EvlIC9UMb3ZxP7GpCSYAqzD4LScYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T08:58:46.935466Z"},"content_sha256":"a712c44791d4ec2af9191e2d564f48b94c3fd8ca661871aa064fc96cc9bfc452","schema_version":"1.0","event_id":"sha256:a712c44791d4ec2af9191e2d564f48b94c3fd8ca661871aa064fc96cc9bfc452"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:X3KXBXMIKA4CN6G27HKHJOA5GG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge-Higgs Unification in Lifshitz Type Gauge Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Hisaki Hatanaka, Kazunori Takenaga, Makoto Sakamoto","submitted_at":"2011-05-18T05:23:54Z","abstract_excerpt":"We discuss the gauge-Higgs unification in a framework of Lifshitz type gauge theory. We study a higher dimensional gauge theory on R^{D-1}\\times S^{1} in which the normal second (first) order derivative terms for scalar (fermion) fields in the action are replaced by higher order derivative ones for the direction of the extra dimension. We provide some mathematical tools to evaluate a one-loop effective potential for the zero mode of the extra component of a higher dimensional gauge field and clarify how the higher order derivative terms affect the standard form of the effective potential. Our "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3534","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":"2026-05-18T02:21:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x45REEwjOyDCaaSxg81Cq7m3GKzFSW8ZHmmI7TaDv9/Z2irzJf+ZKC0+UIkozFjNC1MP0N8+Ob+IUv30nn6gAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T08:58:46.935826Z"},"content_sha256":"10811763e552bb8d44c829a755b399f3fea4926b58a9095dadff18aae840745f","schema_version":"1.0","event_id":"sha256:10811763e552bb8d44c829a755b399f3fea4926b58a9095dadff18aae840745f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X3KXBXMIKA4CN6G27HKHJOA5GG/bundle.json","state_url":"https://pith.science/pith/X3KXBXMIKA4CN6G27HKHJOA5GG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X3KXBXMIKA4CN6G27HKHJOA5GG/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":"2026-06-28T08:58:46Z","links":{"resolver":"https://pith.science/pith/X3KXBXMIKA4CN6G27HKHJOA5GG","bundle":"https://pith.science/pith/X3KXBXMIKA4CN6G27HKHJOA5GG/bundle.json","state":"https://pith.science/pith/X3KXBXMIKA4CN6G27HKHJOA5GG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X3KXBXMIKA4CN6G27HKHJOA5GG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:X3KXBXMIKA4CN6G27HKHJOA5GG","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":"e3cf9402b737a3371cf1465860c8ee1dff5f60e884746710adf66d6c87be69dd","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-05-18T05:23:54Z","title_canon_sha256":"968142490aeb95dbd8ad47a5161ce4a93a3e83ccd149362ee80c026763cc955e"},"schema_version":"1.0","source":{"id":"1105.3534","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3534","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3534v2","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3534","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"pith_short_12","alias_value":"X3KXBXMIKA4C","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X3KXBXMIKA4CN6G2","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X3KXBXMI","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:10811763e552bb8d44c829a755b399f3fea4926b58a9095dadff18aae840745f","target":"graph","created_at":"2026-05-18T02:21:59Z","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 discuss the gauge-Higgs unification in a framework of Lifshitz type gauge theory. We study a higher dimensional gauge theory on R^{D-1}\\times S^{1} in which the normal second (first) order derivative terms for scalar (fermion) fields in the action are replaced by higher order derivative ones for the direction of the extra dimension. We provide some mathematical tools to evaluate a one-loop effective potential for the zero mode of the extra component of a higher dimensional gauge field and clarify how the higher order derivative terms affect the standard form of the effective potential. Our ","authors_text":"Hisaki Hatanaka, Kazunori Takenaga, Makoto Sakamoto","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-05-18T05:23:54Z","title":"Gauge-Higgs Unification in Lifshitz Type Gauge Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3534","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:a712c44791d4ec2af9191e2d564f48b94c3fd8ca661871aa064fc96cc9bfc452","target":"record","created_at":"2026-05-18T02:21:59Z","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":"e3cf9402b737a3371cf1465860c8ee1dff5f60e884746710adf66d6c87be69dd","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-05-18T05:23:54Z","title_canon_sha256":"968142490aeb95dbd8ad47a5161ce4a93a3e83ccd149362ee80c026763cc955e"},"schema_version":"1.0","source":{"id":"1105.3534","kind":"arxiv","version":2}},"canonical_sha256":"bed570dd88503826f8daf9d474b81d31bbd14e7e7246e78352456a7a341e57d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bed570dd88503826f8daf9d474b81d31bbd14e7e7246e78352456a7a341e57d2","first_computed_at":"2026-05-18T02:21:59.526892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:59.526892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BDZ8hXwoo3f2+ZkBHBrRZvO61OQEFnNaTFHrDAwhEqNwJdLdiS3QuoAxcWixldjuQsBpA7Y7QNaJa13/Yw9fBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:59.527671Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3534","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a712c44791d4ec2af9191e2d564f48b94c3fd8ca661871aa064fc96cc9bfc452","sha256:10811763e552bb8d44c829a755b399f3fea4926b58a9095dadff18aae840745f"],"state_sha256":"7c7c5b941bc105a46581c49df2b8e4e3d788cc8f5a878f780793e6f32983951f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ohE/fZaROVclAMXMtRC043LRJRlFzvhHMRaNU77E9HDCSgbg0cN6QsW2wi8gXoQuozoYVGaiJT3VfxZ4jvDkDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T08:58:46.937735Z","bundle_sha256":"eb70a87f4f1b98686a2854488beaf7a8a95a9da2719cad97371e8e1469742bd1"}}