{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:4VVLMBMFH5IMWRXPPKXRR5Y6XZ","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":"71f4f06e610b85e8b08512a8b8419122a8ea5e9969a266631c78da835e2ff84b","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1999-08-17T19:40:28Z","title_canon_sha256":"7ef7bee379788a9e9fdeb6b070288ad1113b43e9c0011dfb67ce9e74678e8e7b"},"schema_version":"1.0","source":{"id":"hep-lat/9908017","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9908017","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9908017v1","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9908017","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"pith_short_12","alias_value":"4VVLMBMFH5IM","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"4VVLMBMFH5IMWRXP","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"4VVLMBMF","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:22982404248cf43e0db4322209745eee871322b7ea75bbe7a2ef99d9fa78c27d","target":"graph","created_at":"2026-05-18T01:39:11Z","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 report on a breakdown of both monopole dominance and positivity in abelian-projected lattice Yang-Mills theory. The breakdown is associated with observables involving two units of the abelian charge. We find that the projected lattice has at most a global $Z_2$ symmetry in the confined phase, rather than the global U(1) symmetry that might be expected in a dual superconductor or monopole Coulomb gas picture. Implications for monopole and center vortex theories of confinement are discussed.","authors_text":"J. Ambjorn, J. Giedt, J. Greensite","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1999-08-17T19:40:28Z","title":"Vortex Structure in Abelian-Projected Lattice Gauge Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9908017","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":"sha256:38d0d17f699a3e5092aea53adca9f8fc839887b7247e02f38f9729e75827b3d2","target":"record","created_at":"2026-05-18T01:39:11Z","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":"71f4f06e610b85e8b08512a8b8419122a8ea5e9969a266631c78da835e2ff84b","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1999-08-17T19:40:28Z","title_canon_sha256":"7ef7bee379788a9e9fdeb6b070288ad1113b43e9c0011dfb67ce9e74678e8e7b"},"schema_version":"1.0","source":{"id":"hep-lat/9908017","kind":"arxiv","version":1}},"canonical_sha256":"e56ab605853f50cb46ef7aaf18f71ebe4e0c9ccaeac01f3365e19d6c7086bb93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e56ab605853f50cb46ef7aaf18f71ebe4e0c9ccaeac01f3365e19d6c7086bb93","first_computed_at":"2026-05-18T01:39:11.527068Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:11.527068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PXJ85iXt6bnvtgm0DptXq0CPItniwr53Y/flm2B8a9ScDnIC1veShwnvFyos77UpjdhMLCOW+9H0uzc1VZitCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:11.527483Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9908017","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38d0d17f699a3e5092aea53adca9f8fc839887b7247e02f38f9729e75827b3d2","sha256:22982404248cf43e0db4322209745eee871322b7ea75bbe7a2ef99d9fa78c27d"],"state_sha256":"8b22835e64830286b8974dbba802631c2a655b89816aa9750f3b8f9a3f3f0984"}