{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OV4NJBYQT5M6ZKUAYM2HALL7XU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cd889ff875285f930c088598b59b936b3d69a537aba8f43b257aeb2c7777d3ec","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-05-09T16:51:40Z","title_canon_sha256":"cf1ca9049399ba14b43538ec5780cd8b923842075238d9995586ce6c8dabde12"},"schema_version":"1.0","source":{"id":"2405.05899","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.05899","created_at":"2026-07-05T10:02:46Z"},{"alias_kind":"arxiv_version","alias_value":"2405.05899v4","created_at":"2026-07-05T10:02:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.05899","created_at":"2026-07-05T10:02:46Z"},{"alias_kind":"pith_short_12","alias_value":"OV4NJBYQT5M6","created_at":"2026-07-05T10:02:46Z"},{"alias_kind":"pith_short_16","alias_value":"OV4NJBYQT5M6ZKUA","created_at":"2026-07-05T10:02:46Z"},{"alias_kind":"pith_short_8","alias_value":"OV4NJBYQ","created_at":"2026-07-05T10:02:46Z"}],"graph_snapshots":[{"event_id":"sha256:599e407f2bb7c34823b654f68b1c609430a734ef2f0350bec24e61da15f7966d","target":"graph","created_at":"2026-07-05T10:02:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2405.05899/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a class of $2d$ sigma models which are parameterized by a function of one variable. In addition to the physical field $g$, these models include an auxiliary field $v_\\alpha$ which mediates interactions in a prescribed way. We prove that every theory in this family is classically integrable, in that it possesses an infinite set of conserved charges in involution, which can be constructed from a Lax representation for the equations of motion. This class includes the principal chiral model (PCM) and all deformations of the PCM by functions of the energy-momentum tensor.","authors_text":"Christian Ferko, Liam Smith","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-05-09T16:51:40Z","title":"Infinite Family of Integrable Sigma Models Using Auxiliary Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.05899","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:605883bfa2fe530b1bf5ca4066a87e0637b85df77dd639b1fefc5fac8845b38f","target":"record","created_at":"2026-07-05T10:02:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cd889ff875285f930c088598b59b936b3d69a537aba8f43b257aeb2c7777d3ec","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-05-09T16:51:40Z","title_canon_sha256":"cf1ca9049399ba14b43538ec5780cd8b923842075238d9995586ce6c8dabde12"},"schema_version":"1.0","source":{"id":"2405.05899","kind":"arxiv","version":4}},"canonical_sha256":"7578d487109f59ecaa80c334702d7fbd18da58f56f4bc84d65e1ede1ab3d0163","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7578d487109f59ecaa80c334702d7fbd18da58f56f4bc84d65e1ede1ab3d0163","first_computed_at":"2026-07-05T10:02:46.178411Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:02:46.178411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o8jAvACmztYATI1zDgFiOr6D1jfFJZGF1e6B7ERImo0tjTV9/EvryaU+60byWV3eP5meSr+dLkR/zaw5bbJPBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:02:46.178930Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.05899","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:605883bfa2fe530b1bf5ca4066a87e0637b85df77dd639b1fefc5fac8845b38f","sha256:599e407f2bb7c34823b654f68b1c609430a734ef2f0350bec24e61da15f7966d"],"state_sha256":"0b156faff3bafe3fc1e1b5483a0a1ed7a59edcc48c0baffd45eb8f5f41ee86fc"}