{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3AGZFA7UO4ARPCYSUHWJVSJB6Y","short_pith_number":"pith:3AGZFA7U","schema_version":"1.0","canonical_sha256":"d80d9283f47701178b12a1ec9ac921f606033c64c6cd26f0b5a29297bdf8228d","source":{"kind":"arxiv","id":"1706.05665","version":1},"attestation_state":"computed","paper":{"title":"Double-winding Wilson loops in the $SU(N)$ Yang-Mills theory","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":"2017-06-18T14:55:02Z","abstract_excerpt":"We consider double-winding, triple-winding and multiple-winding Wilson loops in the $SU(N)$ Yang-Mills gauge theory. We examine how the area law falloff of the vacuum expectation value of a multiple-winding Wilson loop depends on the number of color $N$. In sharp contrast to the difference-of-areas law recently found for a double-winding $SU(2)$ Wilson loop average, we show irrespective of the spacetime dimensionality that a double-winding $SU(3)$ Wilson loop follows a novel area law which is neither difference-of-areas nor sum-of-areas law for the area law falloff and that the difference-of-a"},"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":"1706.05665","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-18T14:55:02Z","cross_cats_sorted":[],"title_canon_sha256":"f4202fe03670ed03165e459ef056647b3d4aa799d7e09366769a47e1b493c82e","abstract_canon_sha256":"a9ae852727628abe3add2d4c9035ae8df63a9dc0997fa06b86003a0b253f533f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:55.294152Z","signature_b64":"/OZxXps+Tne9KJ/ecq77HrgjWwzTU+6Qu/5S07zkx8mMvCGDQYIitvG1XeETQC0dEC5zGu/wTZzRTCmdbC1wDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d80d9283f47701178b12a1ec9ac921f606033c64c6cd26f0b5a29297bdf8228d","last_reissued_at":"2026-05-18T00:29:55.293665Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:55.293665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Double-winding Wilson loops in the $SU(N)$ Yang-Mills theory","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":"2017-06-18T14:55:02Z","abstract_excerpt":"We consider double-winding, triple-winding and multiple-winding Wilson loops in the $SU(N)$ Yang-Mills gauge theory. We examine how the area law falloff of the vacuum expectation value of a multiple-winding Wilson loop depends on the number of color $N$. In sharp contrast to the difference-of-areas law recently found for a double-winding $SU(2)$ Wilson loop average, we show irrespective of the spacetime dimensionality that a double-winding $SU(3)$ Wilson loop follows a novel area law which is neither difference-of-areas nor sum-of-areas law for the area law falloff and that the difference-of-a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05665","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":"1706.05665","created_at":"2026-05-18T00:29:55.293736+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.05665v1","created_at":"2026-05-18T00:29:55.293736+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05665","created_at":"2026-05-18T00:29:55.293736+00:00"},{"alias_kind":"pith_short_12","alias_value":"3AGZFA7UO4AR","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3AGZFA7UO4ARPCYS","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3AGZFA7U","created_at":"2026-05-18T12:30:58.224056+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/3AGZFA7UO4ARPCYSUHWJVSJB6Y","json":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y.json","graph_json":"https://pith.science/api/pith-number/3AGZFA7UO4ARPCYSUHWJVSJB6Y/graph.json","events_json":"https://pith.science/api/pith-number/3AGZFA7UO4ARPCYSUHWJVSJB6Y/events.json","paper":"https://pith.science/paper/3AGZFA7U"},"agent_actions":{"view_html":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y","download_json":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y.json","view_paper":"https://pith.science/paper/3AGZFA7U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.05665&json=true","fetch_graph":"https://pith.science/api/pith-number/3AGZFA7UO4ARPCYSUHWJVSJB6Y/graph.json","fetch_events":"https://pith.science/api/pith-number/3AGZFA7UO4ARPCYSUHWJVSJB6Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y/action/storage_attestation","attest_author":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y/action/author_attestation","sign_citation":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y/action/citation_signature","submit_replication":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y/action/replication_record"}},"created_at":"2026-05-18T00:29:55.293736+00:00","updated_at":"2026-05-18T00:29:55.293736+00:00"}