{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:DTY7THLSUZ7DHL23WPEXBGMSS2","short_pith_number":"pith:DTY7THLS","schema_version":"1.0","canonical_sha256":"1cf1f99d72a67e33af5bb3c970999296a48b8f8717675bf023b091e432038ba8","source":{"kind":"arxiv","id":"2305.02400","version":1},"attestation_state":"computed","paper":{"title":"Replicating Higgs fields in Ising gauge theory: the registry order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aleksandar Bukva, Jan Zaanen, Koenraad Schalm","submitted_at":"2023-05-03T19:49:01Z","abstract_excerpt":"We consider $Z_2$ gauge field theory coupled to \"Higgs\" matter fields invoking several copies of such matter, interacting entirely through the gauge fields, the $Z_2 \\times Z_2 \\times Z_2\\cdots / Z_2$ and the $O(N) \\times O(N) \\times O(N) \\cdots / Z_2$ families of theories. We discover that the Higgs phase of such theories is characterized by a hitherto unidentified \"registry\" order parameter. This is characterized by a gauge invariant $p = 2^{N_{\\text{rep}}}/2$ Potts type symmetry where $N_{\\text{rep}}$ is the number of matter copies. The meaning of this registry is that the different matter "},"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":"2305.02400","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-05-03T19:49:01Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"40ba06c1060b576e9a39a492116f2b347debfa5c7ac8dae877002b94ad92ef51","abstract_canon_sha256":"247319b20edf71d9d53b5d3acb59203cb90cb4a0a31d045cd5292f092d948b22"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:07:00.387993Z","signature_b64":"rc2Aca7u90lmUZnACX1Dy7r2gVXD8HcAZsfNE0298Htgc90Ruu1hvEwx5yYmB0Ria9yGYWw8LVzovIOgvf71Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1cf1f99d72a67e33af5bb3c970999296a48b8f8717675bf023b091e432038ba8","last_reissued_at":"2026-07-05T06:07:00.387580Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:07:00.387580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Replicating Higgs fields in Ising gauge theory: the registry order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aleksandar Bukva, Jan Zaanen, Koenraad Schalm","submitted_at":"2023-05-03T19:49:01Z","abstract_excerpt":"We consider $Z_2$ gauge field theory coupled to \"Higgs\" matter fields invoking several copies of such matter, interacting entirely through the gauge fields, the $Z_2 \\times Z_2 \\times Z_2\\cdots / Z_2$ and the $O(N) \\times O(N) \\times O(N) \\cdots / Z_2$ families of theories. We discover that the Higgs phase of such theories is characterized by a hitherto unidentified \"registry\" order parameter. This is characterized by a gauge invariant $p = 2^{N_{\\text{rep}}}/2$ Potts type symmetry where $N_{\\text{rep}}$ is the number of matter copies. The meaning of this registry is that the different matter "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.02400","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.02400/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2305.02400","created_at":"2026-07-05T06:07:00.387639+00:00"},{"alias_kind":"arxiv_version","alias_value":"2305.02400v1","created_at":"2026-07-05T06:07:00.387639+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.02400","created_at":"2026-07-05T06:07:00.387639+00:00"},{"alias_kind":"pith_short_12","alias_value":"DTY7THLSUZ7D","created_at":"2026-07-05T06:07:00.387639+00:00"},{"alias_kind":"pith_short_16","alias_value":"DTY7THLSUZ7DHL23","created_at":"2026-07-05T06:07:00.387639+00:00"},{"alias_kind":"pith_short_8","alias_value":"DTY7THLS","created_at":"2026-07-05T06:07:00.387639+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/DTY7THLSUZ7DHL23WPEXBGMSS2","json":"https://pith.science/pith/DTY7THLSUZ7DHL23WPEXBGMSS2.json","graph_json":"https://pith.science/api/pith-number/DTY7THLSUZ7DHL23WPEXBGMSS2/graph.json","events_json":"https://pith.science/api/pith-number/DTY7THLSUZ7DHL23WPEXBGMSS2/events.json","paper":"https://pith.science/paper/DTY7THLS"},"agent_actions":{"view_html":"https://pith.science/pith/DTY7THLSUZ7DHL23WPEXBGMSS2","download_json":"https://pith.science/pith/DTY7THLSUZ7DHL23WPEXBGMSS2.json","view_paper":"https://pith.science/paper/DTY7THLS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2305.02400&json=true","fetch_graph":"https://pith.science/api/pith-number/DTY7THLSUZ7DHL23WPEXBGMSS2/graph.json","fetch_events":"https://pith.science/api/pith-number/DTY7THLSUZ7DHL23WPEXBGMSS2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DTY7THLSUZ7DHL23WPEXBGMSS2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DTY7THLSUZ7DHL23WPEXBGMSS2/action/storage_attestation","attest_author":"https://pith.science/pith/DTY7THLSUZ7DHL23WPEXBGMSS2/action/author_attestation","sign_citation":"https://pith.science/pith/DTY7THLSUZ7DHL23WPEXBGMSS2/action/citation_signature","submit_replication":"https://pith.science/pith/DTY7THLSUZ7DHL23WPEXBGMSS2/action/replication_record"}},"created_at":"2026-07-05T06:07:00.387639+00:00","updated_at":"2026-07-05T06:07:00.387639+00:00"}