{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:Z4X5WCVXOGCNTSE6GD6VUBBYBJ","short_pith_number":"pith:Z4X5WCVX","schema_version":"1.0","canonical_sha256":"cf2fdb0ab77184d9c89e30fd5a04380a4ead1bd1061db946cbef1ea99707ab4c","source":{"kind":"arxiv","id":"2210.13568","version":3},"attestation_state":"computed","paper":{"title":"The gaugino condensate from asymmetric four-torus with twists","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Erich Poppitz, Mohamed M. Anber","submitted_at":"2022-10-24T19:47:38Z","abstract_excerpt":"We calculate the gaugino condensate in $SU(2)$ super Yang-Mills theory on an asymmetric four-torus $\\mathbb T^4$ with 't Hooft's twisted boundary conditions. The $\\mathbb T^4$ asymmetry is controlled by a dimensionless detuning parameter $\\Delta$, proportional to $L_3 L_4 - L_1 L_2$, with $L_i$ denoting the $\\mathbb T^4$ periods. We perform our calculations via a path integral on a $\\mathbb T^4$. Its size is taken much smaller than the inverse strong scale $\\Lambda$ and the theory is well inside the semi-classical weak-coupling regime. The instanton background, constructed for $\\Delta\\ll 1$ in"},"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":"2210.13568","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-24T19:47:38Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"6fa618a68d710c0af244fd1f5eecffcfecde02d624c288b0e4d4a627c916f7b9","abstract_canon_sha256":"bf0a2c9d9418e69e33722a83c690462df29137bacb125a60d40589efb2d75633"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:44:01.068150Z","signature_b64":"ytXpyqnTAy2Hn29jSD67pczk/ObtgumFKHQc23IRhfJ0YWpzmYUzIBSF4r8FGgtm2pmo1+5pqVmwC4+VlWXUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf2fdb0ab77184d9c89e30fd5a04380a4ead1bd1061db946cbef1ea99707ab4c","last_reissued_at":"2026-07-05T05:44:01.067726Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:44:01.067726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The gaugino condensate from asymmetric four-torus with twists","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Erich Poppitz, Mohamed M. Anber","submitted_at":"2022-10-24T19:47:38Z","abstract_excerpt":"We calculate the gaugino condensate in $SU(2)$ super Yang-Mills theory on an asymmetric four-torus $\\mathbb T^4$ with 't Hooft's twisted boundary conditions. The $\\mathbb T^4$ asymmetry is controlled by a dimensionless detuning parameter $\\Delta$, proportional to $L_3 L_4 - L_1 L_2$, with $L_i$ denoting the $\\mathbb T^4$ periods. We perform our calculations via a path integral on a $\\mathbb T^4$. Its size is taken much smaller than the inverse strong scale $\\Lambda$ and the theory is well inside the semi-classical weak-coupling regime. The instanton background, constructed for $\\Delta\\ll 1$ in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.13568","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/2210.13568/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":"2210.13568","created_at":"2026-07-05T05:44:01.067783+00:00"},{"alias_kind":"arxiv_version","alias_value":"2210.13568v3","created_at":"2026-07-05T05:44:01.067783+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.13568","created_at":"2026-07-05T05:44:01.067783+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z4X5WCVXOGCN","created_at":"2026-07-05T05:44:01.067783+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z4X5WCVXOGCNTSE6","created_at":"2026-07-05T05:44:01.067783+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z4X5WCVX","created_at":"2026-07-05T05:44:01.067783+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.21980","citing_title":"D-branes and fractional instantons on a twisted four torus: the moduli space as an N=2 supersymmetric Higgs branch","ref_index":14,"is_internal_anchor":false},{"citing_arxiv_id":"2606.22078","citing_title":"Metamorphosis of fractional instantons on a twisted $T^4$ with a double-trace deformation: a numerical study","ref_index":23,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21980","citing_title":"D-branes and fractional instantons on a twisted four torus: the moduli space as an N=2 supersymmetric Higgs branch","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z4X5WCVXOGCNTSE6GD6VUBBYBJ","json":"https://pith.science/pith/Z4X5WCVXOGCNTSE6GD6VUBBYBJ.json","graph_json":"https://pith.science/api/pith-number/Z4X5WCVXOGCNTSE6GD6VUBBYBJ/graph.json","events_json":"https://pith.science/api/pith-number/Z4X5WCVXOGCNTSE6GD6VUBBYBJ/events.json","paper":"https://pith.science/paper/Z4X5WCVX"},"agent_actions":{"view_html":"https://pith.science/pith/Z4X5WCVXOGCNTSE6GD6VUBBYBJ","download_json":"https://pith.science/pith/Z4X5WCVXOGCNTSE6GD6VUBBYBJ.json","view_paper":"https://pith.science/paper/Z4X5WCVX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2210.13568&json=true","fetch_graph":"https://pith.science/api/pith-number/Z4X5WCVXOGCNTSE6GD6VUBBYBJ/graph.json","fetch_events":"https://pith.science/api/pith-number/Z4X5WCVXOGCNTSE6GD6VUBBYBJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z4X5WCVXOGCNTSE6GD6VUBBYBJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z4X5WCVXOGCNTSE6GD6VUBBYBJ/action/storage_attestation","attest_author":"https://pith.science/pith/Z4X5WCVXOGCNTSE6GD6VUBBYBJ/action/author_attestation","sign_citation":"https://pith.science/pith/Z4X5WCVXOGCNTSE6GD6VUBBYBJ/action/citation_signature","submit_replication":"https://pith.science/pith/Z4X5WCVXOGCNTSE6GD6VUBBYBJ/action/replication_record"}},"created_at":"2026-07-05T05:44:01.067783+00:00","updated_at":"2026-07-05T05:44:01.067783+00:00"}