{"paper":{"title":"Controlled Penumbral Inflation from Monodromic Valleys","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Local branch data already determine if monodromic valleys support controlled inflation.","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-ph","authors_text":"Pirzada, Tianjun Li","submitted_at":"2026-05-11T08:46:27Z","abstract_excerpt":"Realizing controlled, single-clock inflation in string theory is fundamentally obstructed by the backreaction of heavy moduli. We show that in the \\emph{penumbra} -- the near-boundary regime of complex-structure moduli space where asymptotic symmetries are partially broken -- this obstruction can be exactly quantified. We derive a covariant control theorem demonstrating that local branch data dictate whether a monodromic valley supports a controlled inflationary plateau, thereby isolating the first controlled penumbral inflationary window. The result turns the penumbra from a geometric regime "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"local branch data already determine whether they support controlled inflation, and thereby isolate the first controlled penumbral inflationary window. In the axion--saxion effective theory given in Eq.4, a branch-displacing odd term generates a plateau when Δ≡p+2ν−q>0, while covariant single-clock control further requires p<2, or p=2 with 12A_pm²/V_0≫1 over the observational window.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The local effective theory (Eq. 4) remains valid and single-clock throughout the observable window, and higher-order penumbral corrections do not destroy the plateau or attractor before the end of inflation.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Local branch data determine controlled inflation in monodromic penumbral valleys when Δ > 0 and p < 2 (or p=2 with large A_pm), with a minimal exactly solvable family provided.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Local branch data already determine if monodromic valleys support controlled inflation.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"cdd314f368c82b6d3963c8ad715386fc35c4699be42cf95e29b8279555b12cf9"},"source":{"id":"2605.10197","kind":"arxiv","version":2},"verdict":{"id":"cb17921a-2bbb-4c2e-8c82-56ee396d143d","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-12T03:26:03.832952Z","strongest_claim":"local branch data already determine whether they support controlled inflation, and thereby isolate the first controlled penumbral inflationary window. In the axion--saxion effective theory given in Eq.4, a branch-displacing odd term generates a plateau when Δ≡p+2ν−q>0, while covariant single-clock control further requires p<2, or p=2 with 12A_pm²/V_0≫1 over the observational window.","one_line_summary":"Local branch data determine controlled inflation in monodromic penumbral valleys when Δ > 0 and p < 2 (or p=2 with large A_pm), with a minimal exactly solvable family provided.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The local effective theory (Eq. 4) remains valid and single-clock throughout the observable window, and higher-order penumbral corrections do not destroy the plateau or attractor before the end of inflation.","pith_extraction_headline":"Local branch data already determine if monodromic valleys support controlled inflation."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.10197/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-20T06:22:00.924022Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T15:38:49.279819Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T11:31:20.160741Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T09:36:51.279392Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"f0af2d89004ee7d97ac77f478961a37e7fb756c611c468d41509f56e626f8b4a"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"e5779d184faf5b2d364bef5893d69c2f89db1c067d57bb283cb3c56f8d9c6293"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}