| Upper break and conductor conventions | definition | definition 2.6 | arxiv |
| Finite heads, including characteristic two | statement | corollary 19.4 | arxiv |
| Primitive \texorpdfstring{$L$}{L}-function | definition | definition 2.16 | arxiv |
| Specialization at a finite character | statement | lemma 3.11 | arxiv |
| Quantitative partial slope stability | statement | theorem 1.8 | arxiv |
| The first two weighted orders | statement | proposition 9.4 | arxiv |
| Universal splitting function | definition | definition 3.14 | arxiv |
| Hodge and contact polygons | definition | definition 4.7 | arxiv |
| 2T382B7Z6C | statement | lemma 10.2 | arxiv |
| Geometric \texorpdfstring{$\Zp$}{Zp}-tower | definition | definition 2.1 | arxiv |
| Stable breaks and genus stability | statement | corollary 2.15 | arxiv |
| The degree-eleven loss | statement | corollary 16.5 | arxiv |
| Slope stability | definition | definition 1.1 | arxiv |
| Failure of a uniform annular slope law | statement | theorem 14.1 | arxiv |
| Uniform annulus and classical stabilization | statement | corollary 6.1 | arxiv |
| Ramification stability | definition | definition 2.7 | arxiv |
| 4ME27BMW16 | statement | lemma 13.4 | arxiv |
| Bounds for the reduced limiting polygon | statement | proposition 4.12 | arxiv |
| Slope transform | statement | lemma 17.6 | arxiv |
| Attainment of the maximal normalized degree | statement | proposition 2.13 | arxiv |
| Absolute precision | definition | definition 17.2 | arxiv |
| Iterated descendants | statement | corollary 6.7 | arxiv |
| Convergence for a finite Witt truncation | statement | lemma 3.17 | arxiv |
| Effective finite determination | statement | corollary 6.4 | arxiv |
| Limiting Newton polygon | definition | definition 4.2 | arxiv |
| parameter weights to matrix entries | statement | lemma 3.16 | arxiv |
| Polygon at an arbitrary weight | definition | definition 4.3 | arxiv |
| Conductor detector | statement | theorem 10.4 | arxiv |
| Invertibility of contact blocks | statement | lemma 9.7 | arxiv |
| Zeta function and slopes of a curve | definition | definition 2.3 | arxiv |
| Uniform classical stability bounds | statement | theorem 1.12 | arxiv |
| Convergence under Witt truncation | statement | lemma 3.21 | arxiv |
| Equality with the Hodge polygon | statement | proposition 4.14 | arxiv |
| Gauss valuation | definition | definition 3.5 | arxiv |
| Zeta functions and primitive factors | statement | proposition 2.19 | arxiv |
| Explicit width proportional to the reciprocal index | statement | corollary 5.4 | arxiv |
| Primitive slope multiset | definition | definition 2.18 | arxiv |
| The characteristic-five example from the first level | statement | corollary 16.4 | arxiv |
| Universal splitting identity | statement | lemma 3.15 | arxiv |
| Growing and fixed left intervals | statement | corollary 1.9 | arxiv |
| AH0WKZ13Q5 | statement | lemma 14.3 | arxiv |
| AWAM2CRW51 | statement | proposition 12.1 | arxiv |
| Every fixed slope interval below one | statement | corollary 5.6 | arxiv |
| Integral universal series and reduction | statement | proposition 3.4 | arxiv |
| Cancellation of older levels and detection of level $i$ | statement | proposition 10.3 | arxiv |
| Active and inactive Newton heights | statement | proposition 11.1 | arxiv |
| Artin--Hasse parameters | definition | definition 3.9 | arxiv |
| Classical parameter error | statement | lemma 19.1 | arxiv |
| Agreement radius | definition | definition 4.5 | arxiv |
| Reduced defining equation | definition | definition 2.2 | arxiv |
| Failure of slope stability | statement | theorem 1.6 | arxiv |
| The natural geometric scale | statement | proposition 8.9 | arxiv |
| Genus stability criterion | statement | theorem 2.10 | arxiv |
| Failure inside the first characteristic block | statement | theorem 13.1 | arxiv |
| Genus stability | definition | definition 2.4 | arxiv |
| DJQZWYECAK | statement | corollary 1.7 | arxiv |
| Degree, character independence, and reflection | statement | lemma 2.17 | arxiv |
| Necessary genus and ramification stability | statement | lemma 2.21 | arxiv |
| Analyticity and classical entire fibers | statement | proposition 5.1 | arxiv |
| Semilinear precision | statement | theorem 17.3 | arxiv |
| Eventual nonsupersingularity | statement | corollary 4.17 | arxiv |
| Uniform degree-gap criterion | statement | theorem 16.2 | arxiv |
| Zeros of an Artin--Hasse parameter | statement | corollary 3.12 | arxiv |
| Relative Dwork precision | statement | proposition 19.3 | arxiv |
| Absolute comparison through a contact | statement | corollary 18.3 | arxiv |
| F4P5RWJNH2 | statement | proposition 14.4 | arxiv |
| Tail estimate | statement | lemma 7.4 | arxiv |
| Skew Gauss valuation ring | definition | definition 17.4 | arxiv |
| Extent of block propagation | problem | problem 1.3 | arxiv |
| FY728T0XCN | problem | problem 1.11 | arxiv |
| Finite flat spectral part | definition | definition 8.2 | arxiv |
| GWXZN0NEBF | statement | proposition 9.1 | arxiv |
| Finite flat pieces over the conductor annuli | statement | corollary 8.8 | arxiv |
| A gap gives a polynomial factor | statement | lemma 8.3 | arxiv |
| The index set for one new term | statement | lemma 13.5 | arxiv |
| Uniform coefficient bound | statement | proposition 3.23 | arxiv |
| Coefficient bounds from closed products of minors | statement | lemma 3.19 | arxiv |
| The first-block criterion | statement | proposition 7.1 | arxiv |
| Ramification parameters | definition | definition 2.14 | arxiv |
| Descent from the next level | statement | corollary 6.8 | arxiv |
| Small degree over every finite field | statement | corollary 16.3 | arxiv |
| Initial-minor reduction | statement | lemma 9.6 | arxiv |
| Ordinary slopes below one at arbitrary weights | statement | corollary 5.7 | arxiv |
| Classical characteristic Newton polygon | definition | definition 3.1 | arxiv |
| Pointwise stability | statement | corollary 6.5 | arxiv |
| Limits of first-block propagation | statement | theorem 1.10 | arxiv |
| Continuity in the defining equation | statement | lemma 14.5 | arxiv |
| A sharper loss in degree eleven | statement | corollary 7.5 | arxiv |
| Minimal break ratios | definition | definition 2.12 | arxiv |
| Kosters--Zhu Hodge and contact bounds | statement | proposition 4.8 | arxiv |
| Small initial degree over the prime field | statement | corollary 7.7 | arxiv |
| Stability of the first blocks | definition | definition 1.2 | arxiv |
| Classical and reduced coefficient estimates | statement | corollary 3.20 | arxiv |
| Uniform agreement at a contact index | statement | theorem 5.2 | arxiv |
| Kosters--Zhu degree-gap criterion | statement | theorem 1.4 | arxiv |
| Hodge ordinate | definition | definition 4.1 | arxiv |
| A coefficient condition in characteristic seven | statement | proposition 7.8 | arxiv |
| Integral determinant precision | statement | lemma 17.7 | arxiv |
| $T$-adic Dwork trace formula | statement | theorem 3.18 | arxiv |
| PPXEKR47KZ | statement | lemma 3.10 | arxiv |
| Boundary annulus for the first slopes | definition | definition 5.3 | arxiv |
| Relative precision | definition | definition 17.1 | arxiv |
| Integrality | statement | lemma 3.7 | arxiv |
| Break and genus formulas | statement | proposition 2.8 | arxiv |
| Equivalent block formulation | statement | proposition 2.20 | arxiv |
| Propagation from one level to the next | statement | corollary 6.6 | arxiv |
| The degree-eleven monomial polygon | statement | lemma 13.3 | arxiv |
| Parameter valuation at arbitrary weights | statement | lemma 3.13 | arxiv |
| Kosters--Zhu | problem | problem 1.5 | arxiv |
| Absolute Dwork precision | statement | proposition 19.2 | arxiv |
| Stability of the finite truncation | statement | lemma 7.3 | arxiv |
| The spectral fiber at a classical point | statement | proposition 8.7 | arxiv |
| SKKCFMYQ6N | statement | lemma 13.2 | arxiv |
| A concave weight | statement | lemma 3.22 | arxiv |
| Newton polygon of a cyclic semilinear map | statement | proposition 17.5 | arxiv |
| Characteristic blocks at level \texorpdfstring{$n$}{n | definition | definition 3.3 | arxiv |
| Specialization below the valuation of $p$ | statement | lemma 4.11 | arxiv |
| Finite flat spectral pieces | statement | theorem 8.5 | arxiv |
| The first \texorpdfstring{$K$}{K} spectral slopes | definition | definition 8.4 | arxiv |
| Artin--Hasse series | definition | definition 3.6 | arxiv |
| Finite-block criterion for slope stability | statement | proposition 7.2 | arxiv |
| Local convergence to the limiting polygon | statement | theorem 4.4 | arxiv |
| X20ZRF62FR | statement | lemma 14.2 | arxiv |
| Contact decomposition with precision | statement | lemma 18.1 | arxiv |
| An unreduced nonmeromorphic family | statement | proposition 3.24 | arxiv |
| Uniform partial stability | statement | theorem 16.1 | arxiv |
| Propagation of the whole primitive multiset | statement | theorem 7.6 | arxiv |
| Common truncated skew rings | statement | lemma 17.8 | arxiv |
| Convergence and global stationarity | statement | corollary 4.6 | arxiv |
| Kosters--Zhu Hodge and contact bounds | statement | proposition 9.3 | arxiv |
| Spectral curve and weight map | definition | definition 8.1 | arxiv |
| Agreement radius at an arbitrary weight | statement | corollary 5.5 | arxiv |
| Relative comparison for the whole polygon | statement | corollary 18.2 | arxiv |
| Artin--Hasse coefficient recurrence | statement | lemma 10.1 | arxiv |
| ZNC49MCR5G | statement | corollary 9.2 | arxiv |
| Characteristic slopes and strong stability | statement | proposition 3.2 | arxiv |
| Davis--Wan--Xiao, polynomial towers | statement | theorem 4.9 | arxiv |
