{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:EK2CHXJ5CTHVYXMCR5FLBJ72DE","short_pith_number":"pith:EK2CHXJ5","canonical_record":{"source":{"id":"1504.01484","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-07T06:26:44Z","cross_cats_sorted":[],"title_canon_sha256":"ab2dbf0829f27a3aba749730dfa4fb7872561aaa5ce734f1dcdf480eb7ef1d9a","abstract_canon_sha256":"20b8a819592fc9aa4a4f94a485c7d3f9b037fdc4e85842f140d340da1cd725dc"},"schema_version":"1.0"},"canonical_sha256":"22b423dd3d14cf5c5d828f4ab0a7fa19386b96d8a73c1bd5cb23813cab7f574d","source":{"kind":"arxiv","id":"1504.01484","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.01484","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"arxiv_version","alias_value":"1504.01484v2","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01484","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"pith_short_12","alias_value":"EK2CHXJ5CTHV","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EK2CHXJ5CTHVYXMC","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EK2CHXJ5","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:EK2CHXJ5CTHVYXMCR5FLBJ72DE","target":"record","payload":{"canonical_record":{"source":{"id":"1504.01484","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-07T06:26:44Z","cross_cats_sorted":[],"title_canon_sha256":"ab2dbf0829f27a3aba749730dfa4fb7872561aaa5ce734f1dcdf480eb7ef1d9a","abstract_canon_sha256":"20b8a819592fc9aa4a4f94a485c7d3f9b037fdc4e85842f140d340da1cd725dc"},"schema_version":"1.0"},"canonical_sha256":"22b423dd3d14cf5c5d828f4ab0a7fa19386b96d8a73c1bd5cb23813cab7f574d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:23.106131Z","signature_b64":"0q/RmT0EFI2eZ2BJ3IQ+jD7VnSoGKeqIslys8GXXPRazmIDSrslszoFo1j2gpHb2mMj+93vuC2aDKQucAPXHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22b423dd3d14cf5c5d828f4ab0a7fa19386b96d8a73c1bd5cb23813cab7f574d","last_reissued_at":"2026-05-18T01:21:23.105471Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:23.105471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.01484","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":"2026-05-18T01:21:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qI96JQtCj/vTLgY5AcZEhcvlEQtHs+k5uONM+04wpTtOUrTfB8dBKIuaNfAx58EkvmQn3zQRJpJB5aNlWcI3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:22:12.051874Z"},"content_sha256":"b2890af811a86a692feafa25c0bfd276ab9e429039fcf3e84d495374f63a9e13","schema_version":"1.0","event_id":"sha256:b2890af811a86a692feafa25c0bfd276ab9e429039fcf3e84d495374f63a9e13"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:EK2CHXJ5CTHVYXMCR5FLBJ72DE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equivariance on Discrete Space and Yang-Mills-Higgs Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hideharu Otsu, Hitoshi Ikemori, Shinsaku Kitakado, Toshiro Sato, Yoshimitsu Matsui","submitted_at":"2015-04-07T06:26:44Z","abstract_excerpt":"We introduce the basic equivariant quantity $Q$ in the gauge theory on the noncommutative descrete $Z_{2}$ space, which plays an important role for the equivariant dimensional reduction. If the gauge configuration of the ground state on the extra dimensional space is described by the equivariant $Q$, then the extra dimensional space is invisible. Especially, using the equivariance principle, we show that the Yang-Mills theory on $R^{2}\\times Z_{2}$ space is equivalent to the Yang-Mills-Higgs model on $R^{2}$ space. It can be said that this model is the simplest model of this type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01484","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":"2026-05-18T01:21:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MJzJi2NvsJG549jiQc3mqjv5V+BC/c6BsFKtnHXvvPoJtc5NLm2S4WEqTnx7J/UGk2zbvrmxP7SZEyCJlhxaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:22:12.052215Z"},"content_sha256":"6116da4495cd828e13b632ac637f5c7e29ebce7e8dee54e9d2e5c69eaf639888","schema_version":"1.0","event_id":"sha256:6116da4495cd828e13b632ac637f5c7e29ebce7e8dee54e9d2e5c69eaf639888"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EK2CHXJ5CTHVYXMCR5FLBJ72DE/bundle.json","state_url":"https://pith.science/pith/EK2CHXJ5CTHVYXMCR5FLBJ72DE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EK2CHXJ5CTHVYXMCR5FLBJ72DE/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":"2026-06-03T08:22:12Z","links":{"resolver":"https://pith.science/pith/EK2CHXJ5CTHVYXMCR5FLBJ72DE","bundle":"https://pith.science/pith/EK2CHXJ5CTHVYXMCR5FLBJ72DE/bundle.json","state":"https://pith.science/pith/EK2CHXJ5CTHVYXMCR5FLBJ72DE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EK2CHXJ5CTHVYXMCR5FLBJ72DE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EK2CHXJ5CTHVYXMCR5FLBJ72DE","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":"20b8a819592fc9aa4a4f94a485c7d3f9b037fdc4e85842f140d340da1cd725dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-07T06:26:44Z","title_canon_sha256":"ab2dbf0829f27a3aba749730dfa4fb7872561aaa5ce734f1dcdf480eb7ef1d9a"},"schema_version":"1.0","source":{"id":"1504.01484","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.01484","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"arxiv_version","alias_value":"1504.01484v2","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01484","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"pith_short_12","alias_value":"EK2CHXJ5CTHV","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EK2CHXJ5CTHVYXMC","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EK2CHXJ5","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:6116da4495cd828e13b632ac637f5c7e29ebce7e8dee54e9d2e5c69eaf639888","target":"graph","created_at":"2026-05-18T01:21:23Z","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 introduce the basic equivariant quantity $Q$ in the gauge theory on the noncommutative descrete $Z_{2}$ space, which plays an important role for the equivariant dimensional reduction. If the gauge configuration of the ground state on the extra dimensional space is described by the equivariant $Q$, then the extra dimensional space is invisible. Especially, using the equivariance principle, we show that the Yang-Mills theory on $R^{2}\\times Z_{2}$ space is equivalent to the Yang-Mills-Higgs model on $R^{2}$ space. It can be said that this model is the simplest model of this type.","authors_text":"Hideharu Otsu, Hitoshi Ikemori, Shinsaku Kitakado, Toshiro Sato, Yoshimitsu Matsui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-07T06:26:44Z","title":"Equivariance on Discrete Space and Yang-Mills-Higgs Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01484","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:b2890af811a86a692feafa25c0bfd276ab9e429039fcf3e84d495374f63a9e13","target":"record","created_at":"2026-05-18T01:21:23Z","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":"20b8a819592fc9aa4a4f94a485c7d3f9b037fdc4e85842f140d340da1cd725dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-07T06:26:44Z","title_canon_sha256":"ab2dbf0829f27a3aba749730dfa4fb7872561aaa5ce734f1dcdf480eb7ef1d9a"},"schema_version":"1.0","source":{"id":"1504.01484","kind":"arxiv","version":2}},"canonical_sha256":"22b423dd3d14cf5c5d828f4ab0a7fa19386b96d8a73c1bd5cb23813cab7f574d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22b423dd3d14cf5c5d828f4ab0a7fa19386b96d8a73c1bd5cb23813cab7f574d","first_computed_at":"2026-05-18T01:21:23.105471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:23.105471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0q/RmT0EFI2eZ2BJ3IQ+jD7VnSoGKeqIslys8GXXPRazmIDSrslszoFo1j2gpHb2mMj+93vuC2aDKQucAPXHBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:23.106131Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.01484","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2890af811a86a692feafa25c0bfd276ab9e429039fcf3e84d495374f63a9e13","sha256:6116da4495cd828e13b632ac637f5c7e29ebce7e8dee54e9d2e5c69eaf639888"],"state_sha256":"ad195f5cc1f73a1c3051e7c87aa142d9078f4736048b46f941587103446a5e95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cng4l34ZQZLv+5kfbsGclrMvmpH6s6JUT+799otgnkQAKJEptJce5sKyX0sC3NwvAfQg85tfyywyFx9kdrULAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:22:12.054196Z","bundle_sha256":"8b8656a4753491031af6a484c7f2ab8c0ac095a8839b11972ec577f94aeb04c5"}}