{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EXM4HDFWCT754MWSROLX4A6TSR","short_pith_number":"pith:EXM4HDFW","schema_version":"1.0","canonical_sha256":"25d9c38cb614ffde32d28b977e03d3946959567a9f34c665c421bd197c2846e0","source":{"kind":"arxiv","id":"1707.09784","version":1},"attestation_state":"computed","paper":{"title":"HWG for Coulomb branch of $3d$ Sicilian theory mirrors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alessandro Pini, Amihay Hanany","submitted_at":"2017-07-31T09:52:58Z","abstract_excerpt":"Certain star shaped quivers exhibit a pattern of symmetry enhancement on the Coulomb branch of $3d$ $\\mathcal{N}=4$ supersymmetric gauge theories. This paper studies a subclass of theories where such global symmetry enhancement occurs through a computation of the Highest Weight Generating Function (HWG) and of the corresponding Hilbert Series (HS), providing a further test of the Coulomb branch formula. This special subclass has a feature in which the HWG takes a particularly simple form, as a simple rational function which is either a product of simple poles (termed freely generated) or a sim"},"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":"1707.09784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-31T09:52:58Z","cross_cats_sorted":[],"title_canon_sha256":"189eb0ea5e91ccd8ba4eac316abd26c86727fcbccefaa105a4f30dbd501fad51","abstract_canon_sha256":"b67c34ddf86bcd1f167bab7bc8f33f1a05bb08a76d071a784a7be18c04b2a165"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:08.262046Z","signature_b64":"b2H6ir9xvj3K3zc8PYJErj9eldyYZv6f7FcZl0R1w2VVTryh1r2/8+Thg0quqf2He00emDDMKzOD1+gwvmtTBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25d9c38cb614ffde32d28b977e03d3946959567a9f34c665c421bd197c2846e0","last_reissued_at":"2026-05-18T00:39:08.261518Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:08.261518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"HWG for Coulomb branch of $3d$ Sicilian theory mirrors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alessandro Pini, Amihay Hanany","submitted_at":"2017-07-31T09:52:58Z","abstract_excerpt":"Certain star shaped quivers exhibit a pattern of symmetry enhancement on the Coulomb branch of $3d$ $\\mathcal{N}=4$ supersymmetric gauge theories. This paper studies a subclass of theories where such global symmetry enhancement occurs through a computation of the Highest Weight Generating Function (HWG) and of the corresponding Hilbert Series (HS), providing a further test of the Coulomb branch formula. This special subclass has a feature in which the HWG takes a particularly simple form, as a simple rational function which is either a product of simple poles (termed freely generated) or a sim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09784","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":"1707.09784","created_at":"2026-05-18T00:39:08.261600+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.09784v1","created_at":"2026-05-18T00:39:08.261600+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09784","created_at":"2026-05-18T00:39:08.261600+00:00"},{"alias_kind":"pith_short_12","alias_value":"EXM4HDFWCT75","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EXM4HDFWCT754MWS","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EXM4HDFW","created_at":"2026-05-18T12:31:12.930513+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/EXM4HDFWCT754MWSROLX4A6TSR","json":"https://pith.science/pith/EXM4HDFWCT754MWSROLX4A6TSR.json","graph_json":"https://pith.science/api/pith-number/EXM4HDFWCT754MWSROLX4A6TSR/graph.json","events_json":"https://pith.science/api/pith-number/EXM4HDFWCT754MWSROLX4A6TSR/events.json","paper":"https://pith.science/paper/EXM4HDFW"},"agent_actions":{"view_html":"https://pith.science/pith/EXM4HDFWCT754MWSROLX4A6TSR","download_json":"https://pith.science/pith/EXM4HDFWCT754MWSROLX4A6TSR.json","view_paper":"https://pith.science/paper/EXM4HDFW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.09784&json=true","fetch_graph":"https://pith.science/api/pith-number/EXM4HDFWCT754MWSROLX4A6TSR/graph.json","fetch_events":"https://pith.science/api/pith-number/EXM4HDFWCT754MWSROLX4A6TSR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EXM4HDFWCT754MWSROLX4A6TSR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EXM4HDFWCT754MWSROLX4A6TSR/action/storage_attestation","attest_author":"https://pith.science/pith/EXM4HDFWCT754MWSROLX4A6TSR/action/author_attestation","sign_citation":"https://pith.science/pith/EXM4HDFWCT754MWSROLX4A6TSR/action/citation_signature","submit_replication":"https://pith.science/pith/EXM4HDFWCT754MWSROLX4A6TSR/action/replication_record"}},"created_at":"2026-05-18T00:39:08.261600+00:00","updated_at":"2026-05-18T00:39:08.261600+00:00"}