{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:LR4H3GVYFBPZM7JX3LLTHR2ZEW","short_pith_number":"pith:LR4H3GVY","schema_version":"1.0","canonical_sha256":"5c787d9ab8285f967d37dad733c75925ab6dbf4139ffa1140ae1f96a455c2f97","source":{"kind":"arxiv","id":"2401.10507","version":4},"attestation_state":"computed","paper":{"title":"A scaling limit of $\\mathrm{SU}(2)$ lattice Yang-Mills-Higgs theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Sourav Chatterjee","submitted_at":"2024-01-19T05:53:16Z","abstract_excerpt":"The construction of non-Abelian Euclidean Yang-Mills theories in dimension four, as scaling limits of lattice Yang-Mills theories or otherwise, is a central open question of mathematical physics. This paper takes the following small step towards this goal. In any dimension $d\\ge 2$, we construct a scaling limit of $\\mathrm{SU}(2)$ lattice Yang-Mills theory coupled to a Higgs field (under the degenerate potential) transforming in the fundamental representation of $\\mathrm{SU}(2)$. After unitary gauge fixing and taking the lattice spacing $\\varepsilon\\to 0$, and simultaneously taking the gauge c"},"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":"2401.10507","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-01-19T05:53:16Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"ebd38819e53434b23f0fba96d00c79d11ab0e6bdc7ce91418d2c1b445dc286d4","abstract_canon_sha256":"3a318f5e399a125a6146969f7957f44d1e2beb01197bc007f76459ca6bd6cc48"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T14:03:17.180086Z","signature_b64":"r7q2THZyQhPLss4tWk6H+9R6z8dvTR6S9+jJk/8hUa2/hgBR6I3pCfW51cl1v8pk6eE4uGnDAZlArlaH8nW3Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c787d9ab8285f967d37dad733c75925ab6dbf4139ffa1140ae1f96a455c2f97","last_reissued_at":"2026-05-20T14:03:17.179493Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T14:03:17.179493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A scaling limit of $\\mathrm{SU}(2)$ lattice Yang-Mills-Higgs theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Sourav Chatterjee","submitted_at":"2024-01-19T05:53:16Z","abstract_excerpt":"The construction of non-Abelian Euclidean Yang-Mills theories in dimension four, as scaling limits of lattice Yang-Mills theories or otherwise, is a central open question of mathematical physics. This paper takes the following small step towards this goal. In any dimension $d\\ge 2$, we construct a scaling limit of $\\mathrm{SU}(2)$ lattice Yang-Mills theory coupled to a Higgs field (under the degenerate potential) transforming in the fundamental representation of $\\mathrm{SU}(2)$. After unitary gauge fixing and taking the lattice spacing $\\varepsilon\\to 0$, and simultaneously taking the gauge c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.10507","kind":"arxiv","version":4},"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/2401.10507/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":"2401.10507","created_at":"2026-05-20T14:03:17.179569+00:00"},{"alias_kind":"arxiv_version","alias_value":"2401.10507v4","created_at":"2026-05-20T14:03:17.179569+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.10507","created_at":"2026-05-20T14:03:17.179569+00:00"},{"alias_kind":"pith_short_12","alias_value":"LR4H3GVYFBPZ","created_at":"2026-05-20T14:03:17.179569+00:00"},{"alias_kind":"pith_short_16","alias_value":"LR4H3GVYFBPZM7JX","created_at":"2026-05-20T14:03:17.179569+00:00"},{"alias_kind":"pith_short_8","alias_value":"LR4H3GVY","created_at":"2026-05-20T14:03:17.179569+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.16162","citing_title":"Deconfinement For $\\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling","ref_index":202,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LR4H3GVYFBPZM7JX3LLTHR2ZEW","json":"https://pith.science/pith/LR4H3GVYFBPZM7JX3LLTHR2ZEW.json","graph_json":"https://pith.science/api/pith-number/LR4H3GVYFBPZM7JX3LLTHR2ZEW/graph.json","events_json":"https://pith.science/api/pith-number/LR4H3GVYFBPZM7JX3LLTHR2ZEW/events.json","paper":"https://pith.science/paper/LR4H3GVY"},"agent_actions":{"view_html":"https://pith.science/pith/LR4H3GVYFBPZM7JX3LLTHR2ZEW","download_json":"https://pith.science/pith/LR4H3GVYFBPZM7JX3LLTHR2ZEW.json","view_paper":"https://pith.science/paper/LR4H3GVY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2401.10507&json=true","fetch_graph":"https://pith.science/api/pith-number/LR4H3GVYFBPZM7JX3LLTHR2ZEW/graph.json","fetch_events":"https://pith.science/api/pith-number/LR4H3GVYFBPZM7JX3LLTHR2ZEW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LR4H3GVYFBPZM7JX3LLTHR2ZEW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LR4H3GVYFBPZM7JX3LLTHR2ZEW/action/storage_attestation","attest_author":"https://pith.science/pith/LR4H3GVYFBPZM7JX3LLTHR2ZEW/action/author_attestation","sign_citation":"https://pith.science/pith/LR4H3GVYFBPZM7JX3LLTHR2ZEW/action/citation_signature","submit_replication":"https://pith.science/pith/LR4H3GVYFBPZM7JX3LLTHR2ZEW/action/replication_record"}},"created_at":"2026-05-20T14:03:17.179569+00:00","updated_at":"2026-05-20T14:03:17.179569+00:00"}