{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3AGZFA7UO4ARPCYSUHWJVSJB6Y","short_pith_number":"pith:3AGZFA7U","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"},"canonical_sha256":"d80d9283f47701178b12a1ec9ac921f606033c64c6cd26f0b5a29297bdf8228d","source":{"kind":"arxiv","id":"1706.05665","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.05665","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"arxiv_version","alias_value":"1706.05665v1","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05665","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"pith_short_12","alias_value":"3AGZFA7UO4AR","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3AGZFA7UO4ARPCYS","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3AGZFA7U","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3AGZFA7UO4ARPCYSUHWJVSJB6Y","target":"record","payload":{"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"},"canonical_sha256":"d80d9283f47701178b12a1ec9ac921f606033c64c6cd26f0b5a29297bdf8228d","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"},"source_kind":"arxiv","source_id":"1706.05665","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"soy4aAfXu+7jMApo7jnklqgfMmjveEREzeynu89KXrYn8GaBKZbmh9Vn+mRYMNyvkG9mzqjbtnrIsbsUXdDIAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:36:28.331914Z"},"content_sha256":"4fbe9a5c6fbb9672005234314c062e740a313280e778856c8e14eca7d47d655d","schema_version":"1.0","event_id":"sha256:4fbe9a5c6fbb9672005234314c062e740a313280e778856c8e14eca7d47d655d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3AGZFA7UO4ARPCYSUHWJVSJB6Y","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QMylE9Kh6iiuSZexwbXseUf4PpI9B3rTkaZWZgNLoYlLQCaxNgkB7rfssnTD2YTaVIhNDxZ0++axDfMqzpdOCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:36:28.332251Z"},"content_sha256":"318a6db87559300b18b3860f2b8698798d8e67af7652de7a6275480981b01d4c","schema_version":"1.0","event_id":"sha256:318a6db87559300b18b3860f2b8698798d8e67af7652de7a6275480981b01d4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y/bundle.json","state_url":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y/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":"2026-06-01T17:36:28Z","links":{"resolver":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y","bundle":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y/bundle.json","state":"https://pith.science/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3AGZFA7UO4ARPCYSUHWJVSJB6Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3AGZFA7UO4ARPCYSUHWJVSJB6Y","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":"a9ae852727628abe3add2d4c9035ae8df63a9dc0997fa06b86003a0b253f533f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-18T14:55:02Z","title_canon_sha256":"f4202fe03670ed03165e459ef056647b3d4aa799d7e09366769a47e1b493c82e"},"schema_version":"1.0","source":{"id":"1706.05665","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.05665","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"arxiv_version","alias_value":"1706.05665v1","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05665","created_at":"2026-05-18T00:29:55Z"},{"alias_kind":"pith_short_12","alias_value":"3AGZFA7UO4AR","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3AGZFA7UO4ARPCYS","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3AGZFA7U","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:318a6db87559300b18b3860f2b8698798d8e67af7652de7a6275480981b01d4c","target":"graph","created_at":"2026-05-18T00:29:55Z","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 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","authors_text":"Kei-Ichi Kondo, Ryutaro Matsudo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-18T14:55:02Z","title":"Double-winding Wilson loops in the $SU(N)$ Yang-Mills theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05665","kind":"arxiv","version":1},"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":"sha256:4fbe9a5c6fbb9672005234314c062e740a313280e778856c8e14eca7d47d655d","target":"record","created_at":"2026-05-18T00:29:55Z","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":"a9ae852727628abe3add2d4c9035ae8df63a9dc0997fa06b86003a0b253f533f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-18T14:55:02Z","title_canon_sha256":"f4202fe03670ed03165e459ef056647b3d4aa799d7e09366769a47e1b493c82e"},"schema_version":"1.0","source":{"id":"1706.05665","kind":"arxiv","version":1}},"canonical_sha256":"d80d9283f47701178b12a1ec9ac921f606033c64c6cd26f0b5a29297bdf8228d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d80d9283f47701178b12a1ec9ac921f606033c64c6cd26f0b5a29297bdf8228d","first_computed_at":"2026-05-18T00:29:55.293665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:55.293665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/OZxXps+Tne9KJ/ecq77HrgjWwzTU+6Qu/5S07zkx8mMvCGDQYIitvG1XeETQC0dEC5zGu/wTZzRTCmdbC1wDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:55.294152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.05665","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fbe9a5c6fbb9672005234314c062e740a313280e778856c8e14eca7d47d655d","sha256:318a6db87559300b18b3860f2b8698798d8e67af7652de7a6275480981b01d4c"],"state_sha256":"26b5400d323b58ab1d8d9b7f009593969a82d360b48d4b4f4b539d9613402cd7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZUeHszJa3uPeBOi8qmLfO6+whCCnAHa9VxkUt6CFSYUQo9kHADXFjTSraim7p8CF7Dq6/QYHfN6mcaDm0e+GBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:36:28.334094Z","bundle_sha256":"3385142bae16287a8982ce0591feef442bf5c09bd87687a96c5619f7e41ea552"}}