{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OPXWJF3XWOGGFDZQHE6YVAWJUX","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":"6b8e778f99ba22e19e366491d8b82bcd7d3333ca4a0885b6e98eac0cfa327eb7","cross_cats_sorted":["nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-29T18:00:01Z","title_canon_sha256":"5f5a536893b3c9585ebe49d29e32ed15082963c66ed1c4140774c268fd6c192b"},"schema_version":"1.0","source":{"id":"2606.30717","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.30717","created_at":"2026-07-01T00:17:14Z"},{"alias_kind":"arxiv_version","alias_value":"2606.30717v1","created_at":"2026-07-01T00:17:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30717","created_at":"2026-07-01T00:17:14Z"},{"alias_kind":"pith_short_12","alias_value":"OPXWJF3XWOGG","created_at":"2026-07-01T00:17:14Z"},{"alias_kind":"pith_short_16","alias_value":"OPXWJF3XWOGGFDZQ","created_at":"2026-07-01T00:17:14Z"},{"alias_kind":"pith_short_8","alias_value":"OPXWJF3X","created_at":"2026-07-01T00:17:14Z"}],"graph_snapshots":[{"event_id":"sha256:726207842a45c2a7a94c6f3d167feec2e810983f62467f303dca79c8c58f7a03","target":"graph","created_at":"2026-07-01T00:17:14Z","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/2606.30717/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The two-dimensional Breitenlohner-Maison (BM) model is a classically integrable subsector of $D=4$ general relativity endowed with two commuting Killing isometries, obtained via Kaluza-Klein reduction to $D=2$. Integrable deformations of such a theory have recently been constructed via auxiliary fields in the so-called $\\nu$-frame. In this work we first extend this point of view by deriving the complementary auxiliary field perspective known as $\\mu$-frame, and then explicitly construct the uplift to $D=4$ of both descriptions, relying on an ansatz inspired by duality-invariant Lagrangian form","authors_text":"Daniele Bielli, Mattia Ces\\`aro","cross_cats":["nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-29T18:00:01Z","title":"The auxiliary-deformed Breitenlhoner-Maison model: duality frames and higher-dimensional origin"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30717","kind":"arxiv","version":1},"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":"sha256:25b71629caf3739ae9d26a83937407da8ec930183c9b0d5b195b360444a3b5c5","target":"record","created_at":"2026-07-01T00:17:14Z","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":"6b8e778f99ba22e19e366491d8b82bcd7d3333ca4a0885b6e98eac0cfa327eb7","cross_cats_sorted":["nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-29T18:00:01Z","title_canon_sha256":"5f5a536893b3c9585ebe49d29e32ed15082963c66ed1c4140774c268fd6c192b"},"schema_version":"1.0","source":{"id":"2606.30717","kind":"arxiv","version":1}},"canonical_sha256":"73ef649777b38c628f30393d8a82c9a5d81bf39ff6a5e9ac74f5d47f839a0a4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73ef649777b38c628f30393d8a82c9a5d81bf39ff6a5e9ac74f5d47f839a0a4a","first_computed_at":"2026-07-01T00:17:14.390425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T00:17:14.390425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qHJFQON9h9QvRpg7UqM/wWzlD5VaTC/xDaoTyhc/B3Z6LJpeZaj/JDgd7eyP+djqlJtCiuZQlAtvZhRx/7TvCw==","signature_status":"signed_v1","signed_at":"2026-07-01T00:17:14.390838Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.30717","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25b71629caf3739ae9d26a83937407da8ec930183c9b0d5b195b360444a3b5c5","sha256:726207842a45c2a7a94c6f3d167feec2e810983f62467f303dca79c8c58f7a03"],"state_sha256":"731c4ae6f55eb842454b686a41487f2d5811da80e42ad51c9d0cd565110946f6"}