{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:77EJ7DHIQPY4MRVAOYJ24DURUD","short_pith_number":"pith:77EJ7DHI","schema_version":"1.0","canonical_sha256":"ffc89f8ce883f1c646a07613ae0e91a0dfcd5cdc2e84250e1e096aef2f0f49a1","source":{"kind":"arxiv","id":"2406.00178","version":2},"attestation_state":"computed","paper":{"title":"Coulomb Branch Operator Algebras and Universal Selection Rules for $\\mathcal{N}=2$ SCFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Matthew Buican","submitted_at":"2024-05-31T20:14:55Z","abstract_excerpt":"Coulomb branches of vacua are the most universal moduli spaces that arise in local unitary interacting 4d $\\mathcal{N}=2$ superconformal field theories (SCFTs). In these theories, $1/2$-BPS primaries parameterize the Coulomb branches and form (anti-)chiral rings. We define the notion of a Coulomb branch operator algebra, $\\mathcal{A}_{\\mathcal{C}}$, that contains these chiral and anti-chiral rings along with infinitely many more operators and products that are less protected by supersymmetry. Using a universal symmetry, $\\mathcal{I}\\cong\\mathbb{Z}_2$, that arises from studying the superconform"},"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":"2406.00178","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-31T20:14:55Z","cross_cats_sorted":[],"title_canon_sha256":"8aff3fe52a56f8a374ef6787788a966d72bb4ddb29dfc6c7753e4e5767f6de36","abstract_canon_sha256":"40f977b2eaf2e07d142fd4331c66a9cfe43d388deea6419c827e528c5082d441"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:27:49.459291Z","signature_b64":"+0goiWC55oNHxvxyWX2skOTf8acwiDxrx/aCSVi5GkreLJwxofJr9CMsioUFLYisZBatarQKzxaJLdR/BoFKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffc89f8ce883f1c646a07613ae0e91a0dfcd5cdc2e84250e1e096aef2f0f49a1","last_reissued_at":"2026-07-05T08:27:49.458747Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:27:49.458747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coulomb Branch Operator Algebras and Universal Selection Rules for $\\mathcal{N}=2$ SCFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Matthew Buican","submitted_at":"2024-05-31T20:14:55Z","abstract_excerpt":"Coulomb branches of vacua are the most universal moduli spaces that arise in local unitary interacting 4d $\\mathcal{N}=2$ superconformal field theories (SCFTs). In these theories, $1/2$-BPS primaries parameterize the Coulomb branches and form (anti-)chiral rings. We define the notion of a Coulomb branch operator algebra, $\\mathcal{A}_{\\mathcal{C}}$, that contains these chiral and anti-chiral rings along with infinitely many more operators and products that are less protected by supersymmetry. Using a universal symmetry, $\\mathcal{I}\\cong\\mathbb{Z}_2$, that arises from studying the superconform"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00178","kind":"arxiv","version":2},"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/2406.00178/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":"2406.00178","created_at":"2026-07-05T08:27:49.458808+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.00178v2","created_at":"2026-07-05T08:27:49.458808+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00178","created_at":"2026-07-05T08:27:49.458808+00:00"},{"alias_kind":"pith_short_12","alias_value":"77EJ7DHIQPY4","created_at":"2026-07-05T08:27:49.458808+00:00"},{"alias_kind":"pith_short_16","alias_value":"77EJ7DHIQPY4MRVA","created_at":"2026-07-05T08:27:49.458808+00:00"},{"alias_kind":"pith_short_8","alias_value":"77EJ7DHI","created_at":"2026-07-05T08:27:49.458808+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.13764","citing_title":"Generalized Schur partition functions and RG flows","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/77EJ7DHIQPY4MRVAOYJ24DURUD","json":"https://pith.science/pith/77EJ7DHIQPY4MRVAOYJ24DURUD.json","graph_json":"https://pith.science/api/pith-number/77EJ7DHIQPY4MRVAOYJ24DURUD/graph.json","events_json":"https://pith.science/api/pith-number/77EJ7DHIQPY4MRVAOYJ24DURUD/events.json","paper":"https://pith.science/paper/77EJ7DHI"},"agent_actions":{"view_html":"https://pith.science/pith/77EJ7DHIQPY4MRVAOYJ24DURUD","download_json":"https://pith.science/pith/77EJ7DHIQPY4MRVAOYJ24DURUD.json","view_paper":"https://pith.science/paper/77EJ7DHI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.00178&json=true","fetch_graph":"https://pith.science/api/pith-number/77EJ7DHIQPY4MRVAOYJ24DURUD/graph.json","fetch_events":"https://pith.science/api/pith-number/77EJ7DHIQPY4MRVAOYJ24DURUD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/77EJ7DHIQPY4MRVAOYJ24DURUD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/77EJ7DHIQPY4MRVAOYJ24DURUD/action/storage_attestation","attest_author":"https://pith.science/pith/77EJ7DHIQPY4MRVAOYJ24DURUD/action/author_attestation","sign_citation":"https://pith.science/pith/77EJ7DHIQPY4MRVAOYJ24DURUD/action/citation_signature","submit_replication":"https://pith.science/pith/77EJ7DHIQPY4MRVAOYJ24DURUD/action/replication_record"}},"created_at":"2026-07-05T08:27:49.458808+00:00","updated_at":"2026-07-05T08:27:49.458808+00:00"}