{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:UMBM4EEZ2K6JSSVMLRMYG6BE27","short_pith_number":"pith:UMBM4EEZ","schema_version":"1.0","canonical_sha256":"a302ce1099d2bc994aac5c59837824d7e48b5c9f30160a8b62134c98ec7798fb","source":{"kind":"arxiv","id":"1509.04891","version":2},"attestation_state":"computed","paper":{"title":"Non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation and its implication to quark confinement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Kei-Ichi Kondo, Ryutaro Matsudo","submitted_at":"2015-09-16T11:49:39Z","abstract_excerpt":"We give a gauge-independent definition of magnetic monopoles in the $SU(N)$ Yang-Mills theory through the Wilson loop operator. For this purpose, we give an explicit proof of the Diakonov-Petrov version of the non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation of the $SU(N)$ gauge group to derive a new form for the non-Abelian Stokes theorem. The new form is used to extract the magnetic-monopole contribution to the Wilson loop operator in a gauge-invariant way, which enables us to discuss confinement of quarks in any representation from the viewpoint of the "},"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":"1509.04891","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-16T11:49:39Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"336669788c0d2e9780171d0cf58dc70916dba1e2190f6b05e3aae4ce02c92659","abstract_canon_sha256":"f141f5b62a035b493f23a2494e854350aebcccbff6d2045b8a4f4d041418b8b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:23.253411Z","signature_b64":"HakQZXW4E4LrE4EoSCT4PbdP8mlFwkfMw+CoakzYmjhlAxN3E+tZca12RgPD40+TmA95hicwz2CrjosPAY5PDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a302ce1099d2bc994aac5c59837824d7e48b5c9f30160a8b62134c98ec7798fb","last_reissued_at":"2026-05-18T01:23:23.252696Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:23.252696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation and its implication to quark confinement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Kei-Ichi Kondo, Ryutaro Matsudo","submitted_at":"2015-09-16T11:49:39Z","abstract_excerpt":"We give a gauge-independent definition of magnetic monopoles in the $SU(N)$ Yang-Mills theory through the Wilson loop operator. For this purpose, we give an explicit proof of the Diakonov-Petrov version of the non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation of the $SU(N)$ gauge group to derive a new form for the non-Abelian Stokes theorem. The new form is used to extract the magnetic-monopole contribution to the Wilson loop operator in a gauge-invariant way, which enables us to discuss confinement of quarks in any representation from the viewpoint of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04891","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":"1509.04891","created_at":"2026-05-18T01:23:23.252814+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.04891v2","created_at":"2026-05-18T01:23:23.252814+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04891","created_at":"2026-05-18T01:23:23.252814+00:00"},{"alias_kind":"pith_short_12","alias_value":"UMBM4EEZ2K6J","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"UMBM4EEZ2K6JSSVM","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"UMBM4EEZ","created_at":"2026-05-18T12:29:44.643036+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/UMBM4EEZ2K6JSSVMLRMYG6BE27","json":"https://pith.science/pith/UMBM4EEZ2K6JSSVMLRMYG6BE27.json","graph_json":"https://pith.science/api/pith-number/UMBM4EEZ2K6JSSVMLRMYG6BE27/graph.json","events_json":"https://pith.science/api/pith-number/UMBM4EEZ2K6JSSVMLRMYG6BE27/events.json","paper":"https://pith.science/paper/UMBM4EEZ"},"agent_actions":{"view_html":"https://pith.science/pith/UMBM4EEZ2K6JSSVMLRMYG6BE27","download_json":"https://pith.science/pith/UMBM4EEZ2K6JSSVMLRMYG6BE27.json","view_paper":"https://pith.science/paper/UMBM4EEZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.04891&json=true","fetch_graph":"https://pith.science/api/pith-number/UMBM4EEZ2K6JSSVMLRMYG6BE27/graph.json","fetch_events":"https://pith.science/api/pith-number/UMBM4EEZ2K6JSSVMLRMYG6BE27/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UMBM4EEZ2K6JSSVMLRMYG6BE27/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UMBM4EEZ2K6JSSVMLRMYG6BE27/action/storage_attestation","attest_author":"https://pith.science/pith/UMBM4EEZ2K6JSSVMLRMYG6BE27/action/author_attestation","sign_citation":"https://pith.science/pith/UMBM4EEZ2K6JSSVMLRMYG6BE27/action/citation_signature","submit_replication":"https://pith.science/pith/UMBM4EEZ2K6JSSVMLRMYG6BE27/action/replication_record"}},"created_at":"2026-05-18T01:23:23.252814+00:00","updated_at":"2026-05-18T01:23:23.252814+00:00"}