{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3ANR2R6Y6MIUJINCKF7TIYDM3G","short_pith_number":"pith:3ANR2R6Y","canonical_record":{"source":{"id":"1503.07033","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-24T13:36:20Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c7cdb665affc34d2670e0fe5cfa1b7e2504bc4a653884329a337228653026ae6","abstract_canon_sha256":"1a17615822e05fbd56fdf719973ae19e22a14c4fe71d3aaa29281c0c192fdd19"},"schema_version":"1.0"},"canonical_sha256":"d81b1d47d8f31144a1a2517f34606cd991d5aae9d8694ea0b889b81456b3c435","source":{"kind":"arxiv","id":"1503.07033","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07033","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07033v1","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07033","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"pith_short_12","alias_value":"3ANR2R6Y6MIU","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3ANR2R6Y6MIUJINC","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3ANR2R6Y","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3ANR2R6Y6MIUJINCKF7TIYDM3G","target":"record","payload":{"canonical_record":{"source":{"id":"1503.07033","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-24T13:36:20Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c7cdb665affc34d2670e0fe5cfa1b7e2504bc4a653884329a337228653026ae6","abstract_canon_sha256":"1a17615822e05fbd56fdf719973ae19e22a14c4fe71d3aaa29281c0c192fdd19"},"schema_version":"1.0"},"canonical_sha256":"d81b1d47d8f31144a1a2517f34606cd991d5aae9d8694ea0b889b81456b3c435","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:49.985095Z","signature_b64":"OQQzom6czLjBJ9wxYzVSPXcSh5ac7h5oTQgKkY1WjJVIQk+8mBMKDxa0M44R327BtZGKw23vS5GnrM10swkyDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d81b1d47d8f31144a1a2517f34606cd991d5aae9d8694ea0b889b81456b3c435","last_reissued_at":"2026-05-18T01:40:49.984443Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:49.984443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.07033","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":"2026-05-18T01:40:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5zNslG2vkp6hUar+goPWa7UmIw57IaIVX31KU2LZTHpeFHTjb0Mud4rW1/jd+Ioc75TO5KLGV7XKx+o/NOOoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T22:34:13.330866Z"},"content_sha256":"b1d855661b5fa87be627af6988e0a7b52a959a62a351c310a9456e750c6fea41","schema_version":"1.0","event_id":"sha256:b1d855661b5fa87be627af6988e0a7b52a959a62a351c310a9456e750c6fea41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3ANR2R6Y6MIUJINCKF7TIYDM3G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Static Quark Potential from the Gauge Independent Abelian Decomposition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Nigel Cundy, Weonjong Lee, Y. M. Cho","submitted_at":"2015-03-24T13:36:20Z","abstract_excerpt":"We investigate the relationship between colour confinement and the gauge independent Cho-Duan-Ge Abelian decomposition.\n  The decomposition is defined in terms of a colour field $n$; the principle novelty of our study is that we have defined this field in terms of the eigenvectors of the Wilson Loop. This establishes an equivalence between the path ordered integral of the non-Abelian gauge fields with an integral over an Abelian restricted gauge field which is tractable both theoretically and numerically in lattice QCD. We circumvent path ordering without needing an additional path integral. B"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07033","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":"2026-05-18T01:40:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yJFH3RAkcliS//w1ZtoTbdI5iqSviFDJeKFmbGeDvuxOjc9diwzu2HZ8GkZ7KvDoHpZm9M+tUaW5dGf8eZ+9DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T22:34:13.331512Z"},"content_sha256":"bdc9bd10c36ea90874afb959fc20e3db2a24fd7671aeb98d3277fcdafccf2ff6","schema_version":"1.0","event_id":"sha256:bdc9bd10c36ea90874afb959fc20e3db2a24fd7671aeb98d3277fcdafccf2ff6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3ANR2R6Y6MIUJINCKF7TIYDM3G/bundle.json","state_url":"https://pith.science/pith/3ANR2R6Y6MIUJINCKF7TIYDM3G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3ANR2R6Y6MIUJINCKF7TIYDM3G/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":"2026-05-26T22:34:13Z","links":{"resolver":"https://pith.science/pith/3ANR2R6Y6MIUJINCKF7TIYDM3G","bundle":"https://pith.science/pith/3ANR2R6Y6MIUJINCKF7TIYDM3G/bundle.json","state":"https://pith.science/pith/3ANR2R6Y6MIUJINCKF7TIYDM3G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3ANR2R6Y6MIUJINCKF7TIYDM3G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3ANR2R6Y6MIUJINCKF7TIYDM3G","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":"1a17615822e05fbd56fdf719973ae19e22a14c4fe71d3aaa29281c0c192fdd19","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-24T13:36:20Z","title_canon_sha256":"c7cdb665affc34d2670e0fe5cfa1b7e2504bc4a653884329a337228653026ae6"},"schema_version":"1.0","source":{"id":"1503.07033","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07033","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07033v1","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07033","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"pith_short_12","alias_value":"3ANR2R6Y6MIU","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3ANR2R6Y6MIUJINC","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3ANR2R6Y","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:bdc9bd10c36ea90874afb959fc20e3db2a24fd7671aeb98d3277fcdafccf2ff6","target":"graph","created_at":"2026-05-18T01:40:49Z","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 investigate the relationship between colour confinement and the gauge independent Cho-Duan-Ge Abelian decomposition.\n  The decomposition is defined in terms of a colour field $n$; the principle novelty of our study is that we have defined this field in terms of the eigenvectors of the Wilson Loop. This establishes an equivalence between the path ordered integral of the non-Abelian gauge fields with an integral over an Abelian restricted gauge field which is tractable both theoretically and numerically in lattice QCD. We circumvent path ordering without needing an additional path integral. B","authors_text":"Nigel Cundy, Weonjong Lee, Y. M. Cho","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-24T13:36:20Z","title":"The Static Quark Potential from the Gauge Independent Abelian Decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07033","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:b1d855661b5fa87be627af6988e0a7b52a959a62a351c310a9456e750c6fea41","target":"record","created_at":"2026-05-18T01:40:49Z","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":"1a17615822e05fbd56fdf719973ae19e22a14c4fe71d3aaa29281c0c192fdd19","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-03-24T13:36:20Z","title_canon_sha256":"c7cdb665affc34d2670e0fe5cfa1b7e2504bc4a653884329a337228653026ae6"},"schema_version":"1.0","source":{"id":"1503.07033","kind":"arxiv","version":1}},"canonical_sha256":"d81b1d47d8f31144a1a2517f34606cd991d5aae9d8694ea0b889b81456b3c435","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d81b1d47d8f31144a1a2517f34606cd991d5aae9d8694ea0b889b81456b3c435","first_computed_at":"2026-05-18T01:40:49.984443Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:49.984443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OQQzom6czLjBJ9wxYzVSPXcSh5ac7h5oTQgKkY1WjJVIQk+8mBMKDxa0M44R327BtZGKw23vS5GnrM10swkyDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:49.985095Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.07033","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1d855661b5fa87be627af6988e0a7b52a959a62a351c310a9456e750c6fea41","sha256:bdc9bd10c36ea90874afb959fc20e3db2a24fd7671aeb98d3277fcdafccf2ff6"],"state_sha256":"6baa5b9686bb7b85499e9f060022e8b2da751d5974366dee5830eef13eda13b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y69zSomQIzR1EgVvDPX2JxyaH3W5jad1d3vNIY+3fUmknFeGW20T8c1jgZ/npNPC2V75tqoHNvfy+Ws83xjnAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T22:34:13.335234Z","bundle_sha256":"5a6cf259a8123780cb0cb515cc15132c970e39812e312dd52217bd29e90a35b8"}}