{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:V32LFF5CT4IHDNEEKFBU7IWFPM","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":"900179971806c70c0745ef3856a5be0b0951d9678e5f55512f078164da4619e4","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-22T15:36:31Z","title_canon_sha256":"12a1db37343dc69728900578b694ef6d3f8b0a0717c086a3e98ef355f48bf778"},"schema_version":"1.0","source":{"id":"0904.3479","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3479","created_at":"2026-07-04T15:45:39Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3479v1","created_at":"2026-07-04T15:45:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3479","created_at":"2026-07-04T15:45:39Z"},{"alias_kind":"pith_short_12","alias_value":"V32LFF5CT4IH","created_at":"2026-07-04T15:45:39Z"},{"alias_kind":"pith_short_16","alias_value":"V32LFF5CT4IHDNEE","created_at":"2026-07-04T15:45:39Z"},{"alias_kind":"pith_short_8","alias_value":"V32LFF5C","created_at":"2026-07-04T15:45:39Z"}],"graph_snapshots":[{"event_id":"sha256:49cc5c8f681bf86dc16f02d427f34a1a9fc51fd0d5e412b3844b7efb892e8bcc","target":"graph","created_at":"2026-07-04T15:45:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0904.3479/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In SU($N$) gauge theories with fermions in the fundamental or in a two-index (either symmetric or antisymmetric) representation formulated on a manifold with at least one compact dimension with non-trivial holonomy the discrete symmetries $C$, $P$ and $T$ are broken at small enough size of the compact direction(s) for certain values of $N$. We show that for those $N$ in the broken phase a non-zero baryon current wrapping in the compact direction exists, which provides a measurable observable for the breaking of $C$, $P$ and $T$. We prove that in all cases where the current is absent there is n","authors_text":"Agostino Patella, Biagio Lucini","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-22T15:36:31Z","title":"Discrete symmetry breaking and baryon currents in U(N) and SU(N) gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3479","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":"sha256:08adc41202898c6cf5f5be5b44a2230eaf2593a476e503e13f5268b5f2beb588","target":"record","created_at":"2026-07-04T15:45:39Z","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":"900179971806c70c0745ef3856a5be0b0951d9678e5f55512f078164da4619e4","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-22T15:36:31Z","title_canon_sha256":"12a1db37343dc69728900578b694ef6d3f8b0a0717c086a3e98ef355f48bf778"},"schema_version":"1.0","source":{"id":"0904.3479","kind":"arxiv","version":1}},"canonical_sha256":"aef4b297a29f1071b48451434fa2c57b1daabeb1a26c87c8fd17c1ef1eef3e9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aef4b297a29f1071b48451434fa2c57b1daabeb1a26c87c8fd17c1ef1eef3e9e","first_computed_at":"2026-07-04T15:45:39.761118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:45:39.761118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l7XsKlIrniiW1r05GR9OiV18lpOAzGhrF8k2TwQxzVc1bKj5wC+hKzu1YEV0ivg/FEA5HETavDdh9LzmrpOSAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:45:39.761509Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.3479","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08adc41202898c6cf5f5be5b44a2230eaf2593a476e503e13f5268b5f2beb588","sha256:49cc5c8f681bf86dc16f02d427f34a1a9fc51fd0d5e412b3844b7efb892e8bcc"],"state_sha256":"51cf6d7afedab8bd79d68edad8592f23b02acb5390b206cb44bc8cf93fbefdf7"}