{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:2TPHQOEJQUUBC7Q2MSJG4UDVLT","short_pith_number":"pith:2TPHQOEJ","schema_version":"1.0","canonical_sha256":"d4de7838898528117e1a64926e50755cc25053c43e469ae37035b572bec94371","source":{"kind":"arxiv","id":"2112.04462","version":3},"attestation_state":"computed","paper":{"title":"A tale of (M)2 twists","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Christopher Couzens","submitted_at":"2021-12-08T18:45:10Z","abstract_excerpt":"We study the parameter space of magnetically charged AdS$_2\\times\\mathbb{WCP}^{1}_{[n_-,n_+]}$ solutions in 4d U$(1)^4$ gauged STU supergravity. We show that both \\emph{twist} and \\emph{anti-twist} solutions are realised and give constraints for their existence in terms of the magnetic charges of the solution. We provide infinite families of both classes of solution in terms of their magnetic charges and weights of the orbifold. As a byproduct of our analysis we obtain a closed form expression for the free-energy of the 4-charge magnetic solution in terms of the magnetic charges and weights $n"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2112.04462","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-12-08T18:45:10Z","cross_cats_sorted":[],"title_canon_sha256":"4d589878dcac3a414c814ff808f06a3ed3749612caa82ea9111f114dc478248c","abstract_canon_sha256":"2c211132d7da6f3892bdb70b259dfd974528c03774488f68abac409cbe3609a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:32:13.617491Z","signature_b64":"h4R6FMxxf3D+RZLY3RVZyZQ8ghDvuTDrdc9IPbp2Zt5EekF0pjQ75TL9jT/llxfjAqGYQjhCfsjBk5FgwtYYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4de7838898528117e1a64926e50755cc25053c43e469ae37035b572bec94371","last_reissued_at":"2026-07-05T04:32:13.617007Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:32:13.617007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A tale of (M)2 twists","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Christopher Couzens","submitted_at":"2021-12-08T18:45:10Z","abstract_excerpt":"We study the parameter space of magnetically charged AdS$_2\\times\\mathbb{WCP}^{1}_{[n_-,n_+]}$ solutions in 4d U$(1)^4$ gauged STU supergravity. We show that both \\emph{twist} and \\emph{anti-twist} solutions are realised and give constraints for their existence in terms of the magnetic charges of the solution. We provide infinite families of both classes of solution in terms of their magnetic charges and weights of the orbifold. As a byproduct of our analysis we obtain a closed form expression for the free-energy of the 4-charge magnetic solution in terms of the magnetic charges and weights $n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.04462","kind":"arxiv","version":3},"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/2112.04462/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":"2112.04462","created_at":"2026-07-05T04:32:13.617060+00:00"},{"alias_kind":"arxiv_version","alias_value":"2112.04462v3","created_at":"2026-07-05T04:32:13.617060+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.04462","created_at":"2026-07-05T04:32:13.617060+00:00"},{"alias_kind":"pith_short_12","alias_value":"2TPHQOEJQUUB","created_at":"2026-07-05T04:32:13.617060+00:00"},{"alias_kind":"pith_short_16","alias_value":"2TPHQOEJQUUBC7Q2","created_at":"2026-07-05T04:32:13.617060+00:00"},{"alias_kind":"pith_short_8","alias_value":"2TPHQOEJ","created_at":"2026-07-05T04:32:13.617060+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.30812","citing_title":"M5 branes wrapping $\\mathbb{WCP}^2$ and spindles fibred over constant curvature Riemann surfaces","ref_index":31,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04140","citing_title":"Spindle solutions with hyperscalars in $D=4$ gauged supergravity","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2TPHQOEJQUUBC7Q2MSJG4UDVLT","json":"https://pith.science/pith/2TPHQOEJQUUBC7Q2MSJG4UDVLT.json","graph_json":"https://pith.science/api/pith-number/2TPHQOEJQUUBC7Q2MSJG4UDVLT/graph.json","events_json":"https://pith.science/api/pith-number/2TPHQOEJQUUBC7Q2MSJG4UDVLT/events.json","paper":"https://pith.science/paper/2TPHQOEJ"},"agent_actions":{"view_html":"https://pith.science/pith/2TPHQOEJQUUBC7Q2MSJG4UDVLT","download_json":"https://pith.science/pith/2TPHQOEJQUUBC7Q2MSJG4UDVLT.json","view_paper":"https://pith.science/paper/2TPHQOEJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2112.04462&json=true","fetch_graph":"https://pith.science/api/pith-number/2TPHQOEJQUUBC7Q2MSJG4UDVLT/graph.json","fetch_events":"https://pith.science/api/pith-number/2TPHQOEJQUUBC7Q2MSJG4UDVLT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2TPHQOEJQUUBC7Q2MSJG4UDVLT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2TPHQOEJQUUBC7Q2MSJG4UDVLT/action/storage_attestation","attest_author":"https://pith.science/pith/2TPHQOEJQUUBC7Q2MSJG4UDVLT/action/author_attestation","sign_citation":"https://pith.science/pith/2TPHQOEJQUUBC7Q2MSJG4UDVLT/action/citation_signature","submit_replication":"https://pith.science/pith/2TPHQOEJQUUBC7Q2MSJG4UDVLT/action/replication_record"}},"created_at":"2026-07-05T04:32:13.617060+00:00","updated_at":"2026-07-05T04:32:13.617060+00:00"}