{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:J56HGPDJZLR5SETGSWKFMKMT7N","short_pith_number":"pith:J56HGPDJ","schema_version":"1.0","canonical_sha256":"4f7c733c69cae3d912669594562993fb5c8024cda7ba2c5414c1d89969a925f3","source":{"kind":"arxiv","id":"2105.14920","version":2},"attestation_state":"computed","paper":{"title":"Integrable deformed $T^{1,1}$ sigma models from 4D Chern-Simons theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jun-ichi Sakamoto, Kentaroh Yoshida, Osamu Fukushima","submitted_at":"2021-05-31T12:40:01Z","abstract_excerpt":"Recently, a variety of deformed $T^{1,1}$ manifolds, with which 2D non-linear sigma models (NLSMs) are classically integrable, have been presented by Arutyunov, Bassi and Lacroix (ABL) [arXiv:2010.05573]. We refer to the NLSMs with the integrable deformed $T^{1,1}$ as the ABL model for brevity. Motivated by this progress, we consider deriving the ABL model from a 4D Chern-Simons (CS) theory with a meromorphic one-form with four double poles and six simple zeros. We specify boundary conditions in the CS theory that give rise to the ABL model and derive the sigma-model background with target-spa"},"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":"2105.14920","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-05-31T12:40:01Z","cross_cats_sorted":[],"title_canon_sha256":"a9b7514afdd46254039d26d3f623b9026905a9542a147c4567351897b87eac13","abstract_canon_sha256":"d739ef45eba03dcad2b65e5b857a7e9e714ca9ca40d75b7d57fab8fd8da02641"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:43:45.707378Z","signature_b64":"KTrbnMV9+KxNpclAz7zUmPzln4GApOmPU0M5Waem8xwoJX8Ax0WZCSRhCWCZgHrLjnwfYL9QscshlI42RevKDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f7c733c69cae3d912669594562993fb5c8024cda7ba2c5414c1d89969a925f3","last_reissued_at":"2026-07-05T05:43:45.706885Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:43:45.706885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integrable deformed $T^{1,1}$ sigma models from 4D Chern-Simons theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jun-ichi Sakamoto, Kentaroh Yoshida, Osamu Fukushima","submitted_at":"2021-05-31T12:40:01Z","abstract_excerpt":"Recently, a variety of deformed $T^{1,1}$ manifolds, with which 2D non-linear sigma models (NLSMs) are classically integrable, have been presented by Arutyunov, Bassi and Lacroix (ABL) [arXiv:2010.05573]. We refer to the NLSMs with the integrable deformed $T^{1,1}$ as the ABL model for brevity. Motivated by this progress, we consider deriving the ABL model from a 4D Chern-Simons (CS) theory with a meromorphic one-form with four double poles and six simple zeros. We specify boundary conditions in the CS theory that give rise to the ABL model and derive the sigma-model background with target-spa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.14920","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/2105.14920/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":"2105.14920","created_at":"2026-07-05T05:43:45.706946+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.14920v2","created_at":"2026-07-05T05:43:45.706946+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.14920","created_at":"2026-07-05T05:43:45.706946+00:00"},{"alias_kind":"pith_short_12","alias_value":"J56HGPDJZLR5","created_at":"2026-07-05T05:43:45.706946+00:00"},{"alias_kind":"pith_short_16","alias_value":"J56HGPDJZLR5SETG","created_at":"2026-07-05T05:43:45.706946+00:00"},{"alias_kind":"pith_short_8","alias_value":"J56HGPDJ","created_at":"2026-07-05T05:43:45.706946+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/J56HGPDJZLR5SETGSWKFMKMT7N","json":"https://pith.science/pith/J56HGPDJZLR5SETGSWKFMKMT7N.json","graph_json":"https://pith.science/api/pith-number/J56HGPDJZLR5SETGSWKFMKMT7N/graph.json","events_json":"https://pith.science/api/pith-number/J56HGPDJZLR5SETGSWKFMKMT7N/events.json","paper":"https://pith.science/paper/J56HGPDJ"},"agent_actions":{"view_html":"https://pith.science/pith/J56HGPDJZLR5SETGSWKFMKMT7N","download_json":"https://pith.science/pith/J56HGPDJZLR5SETGSWKFMKMT7N.json","view_paper":"https://pith.science/paper/J56HGPDJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.14920&json=true","fetch_graph":"https://pith.science/api/pith-number/J56HGPDJZLR5SETGSWKFMKMT7N/graph.json","fetch_events":"https://pith.science/api/pith-number/J56HGPDJZLR5SETGSWKFMKMT7N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J56HGPDJZLR5SETGSWKFMKMT7N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J56HGPDJZLR5SETGSWKFMKMT7N/action/storage_attestation","attest_author":"https://pith.science/pith/J56HGPDJZLR5SETGSWKFMKMT7N/action/author_attestation","sign_citation":"https://pith.science/pith/J56HGPDJZLR5SETGSWKFMKMT7N/action/citation_signature","submit_replication":"https://pith.science/pith/J56HGPDJZLR5SETGSWKFMKMT7N/action/replication_record"}},"created_at":"2026-07-05T05:43:45.706946+00:00","updated_at":"2026-07-05T05:43:45.706946+00:00"}