{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:JVISPMQ7YF533A3GFLJV5YZ32S","short_pith_number":"pith:JVISPMQ7","schema_version":"1.0","canonical_sha256":"4d5127b21fc17bbd83662ad35ee33bd4b33fdb6e5cc6020c68da9d51e1dc87e6","source":{"kind":"arxiv","id":"1602.06086","version":2},"attestation_state":"computed","paper":{"title":"Gauge-covariant decomposition and magnetic monopole for G(2) Yang-Mills field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Kei-Ichi Kondo, Ryutaro Matsudo","submitted_at":"2016-02-19T09:32:53Z","abstract_excerpt":"We give a gauge-covariant decomposition of the Yang-Mills field with an exceptional gauge group $G(2)$, which extends the field decomposition invented by Cho, Duan-Ge, and Faddeev-Niemi for the $SU(N)$ Yang-Mills field. As an application of the decomposition, we derive a new expression of the non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation of $G(2)$. The resulting new form is used to define gauge-invariant magnetic monopoles in the $G(2)$ Yang-Mills theory. Moreover, we obtain the quantization condition to be satisfied by the resulting magnetic charge. Th"},"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":"1602.06086","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-19T09:32:53Z","cross_cats_sorted":[],"title_canon_sha256":"50fcaecffe6e86ccc04b2c7b5024e3ecf02c7278cbce6d5681efd8198af8e741","abstract_canon_sha256":"a449805ee78057516ececd4a8597e13f70dd04f0d80f7e6bc8813ed6fb60b092"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:36.058334Z","signature_b64":"yYeU7q2/VLEXmmq0zI1HJgQ5yxwMQZFi/DFmqHy2Ea+rQOFSbP8t1TdADMBeV1umgS/Q77aLQwKBefi5l8SOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d5127b21fc17bbd83662ad35ee33bd4b33fdb6e5cc6020c68da9d51e1dc87e6","last_reissued_at":"2026-05-18T01:09:36.057852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:36.057852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gauge-covariant decomposition and magnetic monopole for G(2) Yang-Mills field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Kei-Ichi Kondo, Ryutaro Matsudo","submitted_at":"2016-02-19T09:32:53Z","abstract_excerpt":"We give a gauge-covariant decomposition of the Yang-Mills field with an exceptional gauge group $G(2)$, which extends the field decomposition invented by Cho, Duan-Ge, and Faddeev-Niemi for the $SU(N)$ Yang-Mills field. As an application of the decomposition, we derive a new expression of the non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation of $G(2)$. The resulting new form is used to define gauge-invariant magnetic monopoles in the $G(2)$ Yang-Mills theory. Moreover, we obtain the quantization condition to be satisfied by the resulting magnetic charge. Th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06086","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1602.06086","created_at":"2026-05-18T01:09:36.057928+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.06086v2","created_at":"2026-05-18T01:09:36.057928+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06086","created_at":"2026-05-18T01:09:36.057928+00:00"},{"alias_kind":"pith_short_12","alias_value":"JVISPMQ7YF53","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"JVISPMQ7YF533A3G","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"JVISPMQ7","created_at":"2026-05-18T12:30:25.849896+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/JVISPMQ7YF533A3GFLJV5YZ32S","json":"https://pith.science/pith/JVISPMQ7YF533A3GFLJV5YZ32S.json","graph_json":"https://pith.science/api/pith-number/JVISPMQ7YF533A3GFLJV5YZ32S/graph.json","events_json":"https://pith.science/api/pith-number/JVISPMQ7YF533A3GFLJV5YZ32S/events.json","paper":"https://pith.science/paper/JVISPMQ7"},"agent_actions":{"view_html":"https://pith.science/pith/JVISPMQ7YF533A3GFLJV5YZ32S","download_json":"https://pith.science/pith/JVISPMQ7YF533A3GFLJV5YZ32S.json","view_paper":"https://pith.science/paper/JVISPMQ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.06086&json=true","fetch_graph":"https://pith.science/api/pith-number/JVISPMQ7YF533A3GFLJV5YZ32S/graph.json","fetch_events":"https://pith.science/api/pith-number/JVISPMQ7YF533A3GFLJV5YZ32S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JVISPMQ7YF533A3GFLJV5YZ32S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JVISPMQ7YF533A3GFLJV5YZ32S/action/storage_attestation","attest_author":"https://pith.science/pith/JVISPMQ7YF533A3GFLJV5YZ32S/action/author_attestation","sign_citation":"https://pith.science/pith/JVISPMQ7YF533A3GFLJV5YZ32S/action/citation_signature","submit_replication":"https://pith.science/pith/JVISPMQ7YF533A3GFLJV5YZ32S/action/replication_record"}},"created_at":"2026-05-18T01:09:36.057928+00:00","updated_at":"2026-05-18T01:09:36.057928+00:00"}