{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:ZU7GYCZR5TYQ3ZTC7LTDPNZEU5","short_pith_number":"pith:ZU7GYCZR","schema_version":"1.0","canonical_sha256":"cd3e6c0b31ecf10de662fae637b724a77e9e8af3b023e377e9e73c40d9865473","source":{"kind":"arxiv","id":"hep-lat/9710068","version":1},"attestation_state":"computed","paper":{"title":"Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory","license":"","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Hugo Reinhardt, Kurt Langfeld, Oliver Tennert","submitted_at":"1997-10-20T07:31:18Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-lat/9710068","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1997-10-20T07:31:18Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"eb9f0abb7e7f4e1f26f3b354be6fb03874964d6671ac8ed12a1f9af47c8f8d87","abstract_canon_sha256":"7014dacc209cde3bd776475becd823f0f3074834a71dc48357530a5bc633fd23"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:14.159734Z","signature_b64":"rQTmM4VFMBepFw7O3SRnBPoZo+Vin5qpy2gsh4hxHqCB607X7Hlt2qGKkDl8fiN/Ixf9cvVZ6apNkrpmwWnnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd3e6c0b31ecf10de662fae637b724a77e9e8af3b023e377e9e73c40d9865473","last_reissued_at":"2026-05-18T04:18:14.159031Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:14.159031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory","license":"","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Hugo Reinhardt, Kurt Langfeld, Oliver Tennert","submitted_at":"1997-10-20T07:31:18Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9710068","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9710068","created_at":"2026-05-18T04:18:14.159152+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9710068v1","created_at":"2026-05-18T04:18:14.159152+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9710068","created_at":"2026-05-18T04:18:14.159152+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZU7GYCZR5TYQ","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZU7GYCZR5TYQ3ZTC","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZU7GYCZR","created_at":"2026-05-18T12:25:49.038998+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5","json":"https://pith.science/pith/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5.json","graph_json":"https://pith.science/api/pith-number/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5/graph.json","events_json":"https://pith.science/api/pith-number/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5/events.json","paper":"https://pith.science/paper/ZU7GYCZR"},"agent_actions":{"view_html":"https://pith.science/pith/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5","download_json":"https://pith.science/pith/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5.json","view_paper":"https://pith.science/paper/ZU7GYCZR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-lat/9710068&json=true","fetch_graph":"https://pith.science/api/pith-number/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5/graph.json","fetch_events":"https://pith.science/api/pith-number/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5/action/storage_attestation","attest_author":"https://pith.science/pith/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5/action/author_attestation","sign_citation":"https://pith.science/pith/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5/action/citation_signature","submit_replication":"https://pith.science/pith/ZU7GYCZR5TYQ3ZTC7LTDPNZEU5/action/replication_record"}},"created_at":"2026-05-18T04:18:14.159152+00:00","updated_at":"2026-05-18T04:18:14.159152+00:00"}