{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:XJ4MXHKG4G5JTMOTWNTZUCTZPM","short_pith_number":"pith:XJ4MXHKG","schema_version":"1.0","canonical_sha256":"ba78cb9d46e1ba99b1d3b3679a0a797b07d748e9da626e5153d81cc12ef8f3f3","source":{"kind":"arxiv","id":"1012.2727","version":1},"attestation_state":"computed","paper":{"title":"5-dimensional SU(2) lattice gauge theory with Z2 orbifolding and its phase structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Hiroto So, Kazunori Takenaga, Michika Murata","submitted_at":"2010-12-13T13:46:41Z","abstract_excerpt":"In an SU(2) lattice gauge theory with a Z2 orbifolded extra dimension, the new symmetry which is called as a stick symmetry is useful in understanding the bulk transition. We discuss the relation with the Fradkin-Shenker's phase diagram as well. A remnant of the extra dimension is remained as two U(1) gauge symmetries in two 4-dimensional spaces. We also consider more general bulk gauge groups beyond SU(2)."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1012.2727","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-12-13T13:46:41Z","cross_cats_sorted":[],"title_canon_sha256":"9b16218ff7bd1dd0a24ad0abeb6e1c6f53f7cdc858fbf962f8e8b82e7aacbf5c","abstract_canon_sha256":"3781c05afc54227c08b7bd0c840048a893159637e8330f9451f3f7657cfcc986"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:27.914803Z","signature_b64":"Xuz6cvAomlaaMc5M6/cnW8z2sbYY8ray39/bfhxdk8FePjyVRhqMumgoJB6diY0+NuQQqlIQbEdUsJbqSjSpBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba78cb9d46e1ba99b1d3b3679a0a797b07d748e9da626e5153d81cc12ef8f3f3","last_reissued_at":"2026-05-18T04:33:27.913881Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:27.913881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"5-dimensional SU(2) lattice gauge theory with Z2 orbifolding and its phase structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Hiroto So, Kazunori Takenaga, Michika Murata","submitted_at":"2010-12-13T13:46:41Z","abstract_excerpt":"In an SU(2) lattice gauge theory with a Z2 orbifolded extra dimension, the new symmetry which is called as a stick symmetry is useful in understanding the bulk transition. We discuss the relation with the Fradkin-Shenker's phase diagram as well. A remnant of the extra dimension is remained as two U(1) gauge symmetries in two 4-dimensional spaces. We also consider more general bulk gauge groups beyond SU(2)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2727","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1012.2727","created_at":"2026-05-18T04:33:27.913953+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.2727v1","created_at":"2026-05-18T04:33:27.913953+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2727","created_at":"2026-05-18T04:33:27.913953+00:00"},{"alias_kind":"pith_short_12","alias_value":"XJ4MXHKG4G5J","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"XJ4MXHKG4G5JTMOT","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"XJ4MXHKG","created_at":"2026-05-18T12:26:17.028572+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XJ4MXHKG4G5JTMOTWNTZUCTZPM","json":"https://pith.science/pith/XJ4MXHKG4G5JTMOTWNTZUCTZPM.json","graph_json":"https://pith.science/api/pith-number/XJ4MXHKG4G5JTMOTWNTZUCTZPM/graph.json","events_json":"https://pith.science/api/pith-number/XJ4MXHKG4G5JTMOTWNTZUCTZPM/events.json","paper":"https://pith.science/paper/XJ4MXHKG"},"agent_actions":{"view_html":"https://pith.science/pith/XJ4MXHKG4G5JTMOTWNTZUCTZPM","download_json":"https://pith.science/pith/XJ4MXHKG4G5JTMOTWNTZUCTZPM.json","view_paper":"https://pith.science/paper/XJ4MXHKG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.2727&json=true","fetch_graph":"https://pith.science/api/pith-number/XJ4MXHKG4G5JTMOTWNTZUCTZPM/graph.json","fetch_events":"https://pith.science/api/pith-number/XJ4MXHKG4G5JTMOTWNTZUCTZPM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XJ4MXHKG4G5JTMOTWNTZUCTZPM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XJ4MXHKG4G5JTMOTWNTZUCTZPM/action/storage_attestation","attest_author":"https://pith.science/pith/XJ4MXHKG4G5JTMOTWNTZUCTZPM/action/author_attestation","sign_citation":"https://pith.science/pith/XJ4MXHKG4G5JTMOTWNTZUCTZPM/action/citation_signature","submit_replication":"https://pith.science/pith/XJ4MXHKG4G5JTMOTWNTZUCTZPM/action/replication_record"}},"created_at":"2026-05-18T04:33:27.913953+00:00","updated_at":"2026-05-18T04:33:27.913953+00:00"}