{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:ZU7GYCZR5TYQ3ZTC7LTDPNZEU5","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":"7014dacc209cde3bd776475becd823f0f3074834a71dc48357530a5bc633fd23","cross_cats_sorted":["hep-ph","hep-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1997-10-20T07:31:18Z","title_canon_sha256":"eb9f0abb7e7f4e1f26f3b354be6fb03874964d6671ac8ed12a1f9af47c8f8d87"},"schema_version":"1.0","source":{"id":"hep-lat/9710068","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9710068","created_at":"2026-05-18T04:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9710068v1","created_at":"2026-05-18T04:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9710068","created_at":"2026-05-18T04:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"ZU7GYCZR5TYQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZU7GYCZR5TYQ3ZTC","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZU7GYCZR","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:5907902c7871747e2d109a8a1b8cb67cc539de3e80cbd337649c7f6b1292d759","target":"graph","created_at":"2026-05-18T04:18:14Z","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":"The magnetic vortices which arise in SU(2) lattice gauge theory in center projection are visualized for a given time slice. We establish that the number of vortices piercing a given 2-dimensional sheet is a renormalization group invariant and therefore physical quantity. We find that roughly 2 vortices pierce an area of 1 fm^2.","authors_text":"Hugo Reinhardt, Kurt Langfeld, Oliver Tennert","cross_cats":["hep-ph","hep-th"],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1997-10-20T07:31:18Z","title":"Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9710068","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":"sha256:5e2535b0ae09941e5dc966270c0a16a04d7dd25573b598a2dd1b36e10bb38d58","target":"record","created_at":"2026-05-18T04:18:14Z","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":"7014dacc209cde3bd776475becd823f0f3074834a71dc48357530a5bc633fd23","cross_cats_sorted":["hep-ph","hep-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1997-10-20T07:31:18Z","title_canon_sha256":"eb9f0abb7e7f4e1f26f3b354be6fb03874964d6671ac8ed12a1f9af47c8f8d87"},"schema_version":"1.0","source":{"id":"hep-lat/9710068","kind":"arxiv","version":1}},"canonical_sha256":"cd3e6c0b31ecf10de662fae637b724a77e9e8af3b023e377e9e73c40d9865473","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd3e6c0b31ecf10de662fae637b724a77e9e8af3b023e377e9e73c40d9865473","first_computed_at":"2026-05-18T04:18:14.159031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:14.159031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rQTmM4VFMBepFw7O3SRnBPoZo+Vin5qpy2gsh4hxHqCB607X7Hlt2qGKkDl8fiN/Ixf9cvVZ6apNkrpmwWnnDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:14.159734Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9710068","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e2535b0ae09941e5dc966270c0a16a04d7dd25573b598a2dd1b36e10bb38d58","sha256:5907902c7871747e2d109a8a1b8cb67cc539de3e80cbd337649c7f6b1292d759"],"state_sha256":"cfdea68421e2a98575b267f8a11cccfed62de280e88cdf624222e161fcdb9e36"}