{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:AIDXN2DKSWTUT6YFNVOXM74NE3","short_pith_number":"pith:AIDXN2DK","canonical_record":{"source":{"id":"hep-lat/9807025","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1998-07-11T04:51:09Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"319387345a4a00b9d1336e6e9857eba7bda0b6b32f8162dfc99958d59e10f664","abstract_canon_sha256":"c5b42bf5123232b27d96b8bc2e545adcd88dc996063df0097547cfe95e97af61"},"schema_version":"1.0"},"canonical_sha256":"020776e86a95a749fb056d5d767f8d26d9e9eba9ce3a0bca324a6b138db7e1fb","source":{"kind":"arxiv","id":"hep-lat/9807025","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9807025","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9807025v1","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9807025","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"pith_short_12","alias_value":"AIDXN2DKSWTU","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"AIDXN2DKSWTUT6YF","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"AIDXN2DK","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:AIDXN2DKSWTUT6YFNVOXM74NE3","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9807025","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1998-07-11T04:51:09Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"319387345a4a00b9d1336e6e9857eba7bda0b6b32f8162dfc99958d59e10f664","abstract_canon_sha256":"c5b42bf5123232b27d96b8bc2e545adcd88dc996063df0097547cfe95e97af61"},"schema_version":"1.0"},"canonical_sha256":"020776e86a95a749fb056d5d767f8d26d9e9eba9ce3a0bca324a6b138db7e1fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:13.124807Z","signature_b64":"7eSns7x0+f4M1NBoZb/oQK+tREwa+bKAPh0EnmRhkb8+UUrYRNh66HgYQpPphIDZiFFNgyoJTSNujZgTTuCeDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"020776e86a95a749fb056d5d767f8d26d9e9eba9ce3a0bca324a6b138db7e1fb","last_reissued_at":"2026-05-18T01:39:13.124154Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:13.124154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9807025","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":"2026-05-18T01:39:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GxJwAde6M0IOUjdn2WetS925pgbgUJtpJjtDuNgCzUSrVkQSt1tbHK77tayMHR/RqkzSYLYUSe+LecxkY3LsBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T01:39:43.657170Z"},"content_sha256":"28baf868f58b63820eb0d5d6fff5f2c7db5e1ec9035e5c1a45630ca1129bf667","schema_version":"1.0","event_id":"sha256:28baf868f58b63820eb0d5d6fff5f2c7db5e1ec9035e5c1a45630ca1129bf667"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:AIDXN2DKSWTUT6YFNVOXM74NE3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semi-analytical Proof of Abelian Dominance on Confinement in the Maximally Abelian Gauge","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Hideo Suganuma (RCNP, Hiroko Ichie (Tokyo Inst. Tech.), Osaka Univ.)","submitted_at":"1998-07-11T04:51:09Z","abstract_excerpt":"We study abelian dominance for confinement in terms of the local gluon properties in the maximally abelian (MA) gauge in a semi-analytical manner with the help of the lattice QCD. The global Weyl symmetry persistently remains as the relic of SU($N_c$) in the MA gauge, and provides the ambiguity on the electric and magnetic charges. We derive the criterion on the SU($N_c$)-gauge invariance in terms of the residual symmetry in the abelian gauge. In the lattice QCD, we find microscopic abelian dominance on the link variable for the whole region of $\\beta$ in the MA gauge. The off-diagonal angle v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9807025","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":"2026-05-18T01:39:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3+4yiaTfHNK+BEt4zpNXLbi3bsJkHM45l39bFXa1GM80vIB+6zesHnn1HzkfTNRi42ijGN7aSws3G++/sT9ADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T01:39:43.657527Z"},"content_sha256":"6ad6fe7be57164c726b2c8f3bd432fb23a618a9ac9a5c81efcca1404cea685c4","schema_version":"1.0","event_id":"sha256:6ad6fe7be57164c726b2c8f3bd432fb23a618a9ac9a5c81efcca1404cea685c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AIDXN2DKSWTUT6YFNVOXM74NE3/bundle.json","state_url":"https://pith.science/pith/AIDXN2DKSWTUT6YFNVOXM74NE3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AIDXN2DKSWTUT6YFNVOXM74NE3/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":"2026-06-20T01:39:43Z","links":{"resolver":"https://pith.science/pith/AIDXN2DKSWTUT6YFNVOXM74NE3","bundle":"https://pith.science/pith/AIDXN2DKSWTUT6YFNVOXM74NE3/bundle.json","state":"https://pith.science/pith/AIDXN2DKSWTUT6YFNVOXM74NE3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AIDXN2DKSWTUT6YFNVOXM74NE3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:AIDXN2DKSWTUT6YFNVOXM74NE3","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":"c5b42bf5123232b27d96b8bc2e545adcd88dc996063df0097547cfe95e97af61","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1998-07-11T04:51:09Z","title_canon_sha256":"319387345a4a00b9d1336e6e9857eba7bda0b6b32f8162dfc99958d59e10f664"},"schema_version":"1.0","source":{"id":"hep-lat/9807025","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9807025","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9807025v1","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9807025","created_at":"2026-05-18T01:39:13Z"},{"alias_kind":"pith_short_12","alias_value":"AIDXN2DKSWTU","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"AIDXN2DKSWTUT6YF","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"AIDXN2DK","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:6ad6fe7be57164c726b2c8f3bd432fb23a618a9ac9a5c81efcca1404cea685c4","target":"graph","created_at":"2026-05-18T01:39:13Z","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 study abelian dominance for confinement in terms of the local gluon properties in the maximally abelian (MA) gauge in a semi-analytical manner with the help of the lattice QCD. The global Weyl symmetry persistently remains as the relic of SU($N_c$) in the MA gauge, and provides the ambiguity on the electric and magnetic charges. We derive the criterion on the SU($N_c$)-gauge invariance in terms of the residual symmetry in the abelian gauge. In the lattice QCD, we find microscopic abelian dominance on the link variable for the whole region of $\\beta$ in the MA gauge. The off-diagonal angle v","authors_text":"Hideo Suganuma (RCNP, Hiroko Ichie (Tokyo Inst. Tech.), Osaka Univ.)","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1998-07-11T04:51:09Z","title":"Semi-analytical Proof of Abelian Dominance on Confinement in the Maximally Abelian Gauge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9807025","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":"sha256:28baf868f58b63820eb0d5d6fff5f2c7db5e1ec9035e5c1a45630ca1129bf667","target":"record","created_at":"2026-05-18T01:39:13Z","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":"c5b42bf5123232b27d96b8bc2e545adcd88dc996063df0097547cfe95e97af61","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1998-07-11T04:51:09Z","title_canon_sha256":"319387345a4a00b9d1336e6e9857eba7bda0b6b32f8162dfc99958d59e10f664"},"schema_version":"1.0","source":{"id":"hep-lat/9807025","kind":"arxiv","version":1}},"canonical_sha256":"020776e86a95a749fb056d5d767f8d26d9e9eba9ce3a0bca324a6b138db7e1fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"020776e86a95a749fb056d5d767f8d26d9e9eba9ce3a0bca324a6b138db7e1fb","first_computed_at":"2026-05-18T01:39:13.124154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:13.124154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7eSns7x0+f4M1NBoZb/oQK+tREwa+bKAPh0EnmRhkb8+UUrYRNh66HgYQpPphIDZiFFNgyoJTSNujZgTTuCeDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:13.124807Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9807025","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28baf868f58b63820eb0d5d6fff5f2c7db5e1ec9035e5c1a45630ca1129bf667","sha256:6ad6fe7be57164c726b2c8f3bd432fb23a618a9ac9a5c81efcca1404cea685c4"],"state_sha256":"6dd4bdd973650ad5206f23046b3a703cdfa70e6ce4cbfc9ad6438c276f536e04"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WyqTgLfEcfgKuxy21zNUZ6314tbp6gMKoHm1xOaf770iy0Y4oIXN03hFylC4oFnC+j9f4oajR5n4tVY7do7cCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T01:39:43.659324Z","bundle_sha256":"98292d9a2efae572b47e6e294882d7b3740d4ba6c55aa4166bc24161e753b92a"}}