{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HQPFH5BNJLTC7VKORG25JWDE54","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":"1ac1e7395d8449805e97f253dbf8b033832296d218d2a802bae768ad58edb383","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-03T13:27:25Z","title_canon_sha256":"b8febeee892c744020261862b073e4164ae6c1a6e08a7e168df5b8e5d60fedeb"},"schema_version":"1.0","source":{"id":"2507.02605","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.02605","created_at":"2026-06-10T14:10:43Z"},{"alias_kind":"arxiv_version","alias_value":"2507.02605v2","created_at":"2026-06-10T14:10:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.02605","created_at":"2026-06-10T14:10:43Z"},{"alias_kind":"pith_short_12","alias_value":"HQPFH5BNJLTC","created_at":"2026-06-10T14:10:43Z"},{"alias_kind":"pith_short_16","alias_value":"HQPFH5BNJLTC7VKO","created_at":"2026-06-10T14:10:43Z"},{"alias_kind":"pith_short_8","alias_value":"HQPFH5BN","created_at":"2026-06-10T14:10:43Z"}],"graph_snapshots":[{"event_id":"sha256:bb20cef1b983f9e0adda7d8692eced3302950768325a05b280b4f69b936b4fe1","target":"graph","created_at":"2026-06-10T14:10:43Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"At next-to-leading order in the 1/N expansion, this framework reproduces the perturbative contribution to the two-point function, as well as its first exponentially small correction due to the condensate of the Lagrangian operator, in full agreement with the exact non-perturbative large N solution."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The physics at the natural UV cutoff in the full LSM decouples from the NLSM in the IR in the weak-coupling limit, allowing the perturbative framework for the LSM at the cutoff scale to connect to the one in the NLSM."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"A new O(N)-symmetric perturbative framework for the 2D NLSM derived from the LSM limit reproduces the perturbative two-point function and its first exponentially small condensate correction at NLO in 1/N, matching the exact large N solution while identifying the leading renormalon as UV and canceled"},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"The limit of the quartic linear sigma model provides a massless perturbative framework for the non-linear sigma model that reproduces its trans-series from condensates at next-to-leading order in 1/N."}],"snapshot_sha256":"5a278edf66863b7e8b4cf8e42367bdeb30407d0118bf7fe708364df6921392aa"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.02605/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we provide a massless perturbative framework for the two dimensional non-linear sigma model (NLSM), that allows the computation of the perturbative series attached to the operator condensates in the operator product expansion (OPE). It is based on a limit of the quartic linear sigma model (LSM) and is manifestly $O(N)$ symmetric. We show, at next-to-leading order in the $1/N$ expansion, how this framework reproduces the perturbative contribution to the two-point function, as well as its first exponentially small correction due to the condensate of the Lagrangian operator, in full ","authors_text":"Marcos Mari\\~no, Yizhuang Liu","cross_cats":["hep-ph"],"headline":"The limit of the quartic linear sigma model provides a massless perturbative framework for the non-linear sigma model that reproduces its trans-series from condensates at next-to-leading order in 1/N.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-03T13:27:25Z","title":"Trans-series from condensates in the non-linear sigma model"},"references":{"count":47,"internal_anchors":13,"resolved_work":47,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"A. M. Polyakov, Interaction of Goldstone Particles in Two-Dimensions. Applications to Ferromagnets and Massive Yang-Mills Fields , Phys. Lett. 59B (1975) 79–81","work_id":"bf246277-888a-4919-98f6-e158a1e7a293","year":1975},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"E. Brezin and J. Zinn-Justin, Spontaneous Breakdown of Continuous Symmetries Near Two-Dimensions, Phys. Rev. B14 (1976) 3110","work_id":"c421defa-d7ce-4390-92c5-cfaa83f6d6fa","year":1976},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Parisi, On Infrared Divergences, Nucl","work_id":"48489ad9-f1e4-4d73-a28b-cf8e6a187e8d","year":1979},{"cited_arxiv_id":"hep-ph/9807443","doi":"","is_internal_anchor":true,"ref_index":4,"title":"M. Beneke, Renormalons, Phys. Rept. 317 (1999) 1–142, [ hep-ph/9807443]","work_id":"a74edc3e-379c-4cdb-9b63-eb7190f3c218","year":1999},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, QCD and Resonance Physics. Theoretical Foundations, Nucl. Phys. B 147 (1979) 385–447","work_id":"8b6fab01-3d4f-478a-a18d-86cb1a19acea","year":1979}],"snapshot_sha256":"97eb93fafca08c5db2e6b762941821201d83f691d90a2fb2ad8cedf261b2005f"},"source":{"id":"2507.02605","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-19T06:33:44.237645Z","id":"ece95319-291d-46b4-bf46-4e926c6c1824","model_set":{"reader":"grok-4.3"},"one_line_summary":"A new O(N)-symmetric perturbative framework for the 2D NLSM derived from the LSM limit reproduces the perturbative two-point function and its first exponentially small condensate correction at NLO in 1/N, matching the exact large N solution while identifying the leading renormalon as UV and canceled","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The limit of the quartic linear sigma model provides a massless perturbative framework for the non-linear sigma model that reproduces its trans-series from condensates at next-to-leading order in 1/N.","strongest_claim":"At next-to-leading order in the 1/N expansion, this framework reproduces the perturbative contribution to the two-point function, as well as its first exponentially small correction due to the condensate of the Lagrangian operator, in full agreement with the exact non-perturbative large N solution.","weakest_assumption":"The physics at the natural UV cutoff in the full LSM decouples from the NLSM in the IR in the weak-coupling limit, allowing the perturbative framework for the LSM at the cutoff scale to connect to the one in the NLSM."}},"verdict_id":"ece95319-291d-46b4-bf46-4e926c6c1824"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f649934f3e5058993ea2b22241b16b78ca815861f574a55053cccd261776c3e5","target":"record","created_at":"2026-06-10T14:10:43Z","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":"1ac1e7395d8449805e97f253dbf8b033832296d218d2a802bae768ad58edb383","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-07-03T13:27:25Z","title_canon_sha256":"b8febeee892c744020261862b073e4164ae6c1a6e08a7e168df5b8e5d60fedeb"},"schema_version":"1.0","source":{"id":"2507.02605","kind":"arxiv","version":2}},"canonical_sha256":"3c1e53f42d4ae62fd54e89b5d4d864ef185983d3090909e843ace460cdb3f04f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c1e53f42d4ae62fd54e89b5d4d864ef185983d3090909e843ace460cdb3f04f","first_computed_at":"2026-06-10T14:10:43.243142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T14:10:43.243142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fM9cUPMRtmWKpckGo5Iuz0xPCVB59xiowKYxFVOxFLHDdTMJT6Jx6dKe9dNeN1MX0saCMUx0paLFsmBPJVVXBQ==","signature_status":"signed_v1","signed_at":"2026-06-10T14:10:43.244132Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.02605","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f649934f3e5058993ea2b22241b16b78ca815861f574a55053cccd261776c3e5","sha256:bb20cef1b983f9e0adda7d8692eced3302950768325a05b280b4f69b936b4fe1"],"state_sha256":"27c86938fef34727d0dcbd17a4bd4e7d88ba114ae6dcf09ea8dd99693df9616c"}