{"id":"9c98c8dd-b896-4929-9634-fedd4a9734e1","arxiv_id":"hep-ph/0402023","paper_version":2,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":3,"one_line_summary":"A proposed deuteron EDM measurement at the 10^-27 e cm level would improve sensitivity to the QCD theta angle and to MSSM CP-violating phases by one to two orders of magnitude over existing bounds.","lead":"The paper computes how large the deuteron's electric dipole moment would be from several sources of CP violation, and argues a proposed 10^-27 e cm experiment would tighten bounds on those sources by 10 to 100 times. It matters because it supplies the physics case for a specific next-generation experiment and maps what a null result would say about supersymmetric CP phases.","discovery_kind":"unclear","skeptic_critique":{"model":"selfhosted/deepseek-v4.1-flash","headline":"The paper's 'two orders of magnitude beyond mercury' claim for the triplet CEDM compares a derived deuteron coefficient (Eq. 14) to an unstated mercury coefficient; the mercury EDM's dependence on (d̃_u-d̃_d) is asserted, not derived or cited, in this paper.","rationale":"I agree with the reader that Eq. 13 is the softest link in the CEDM chain, and the authors acknowledge its large uncertainty. But the reader's rationale overstates the robustness of the mercury comparison: for θ, the ratio d_D/d_n is clean because both use Eq. 7, but for CEDM the deuteron and mercury observables involve different nuclear matrix elements (Eq. 4 vs the Schiff moment), so the 'two orders of magnitude' claim is not a pure cancellation. The paper does not derive or cite the mercury coefficient for the ḡ^(1) channel. This is a real gap, though it does not overturn the qualitative conclusion that d_D is triplet-CEDM dominated. The CONDITIONAL verdict is appropriate; I would not change it. The paper is otherwise careful about its uncertainties (Eqs. 5, 7, 13) and the self-citations are to published work.","tokens_in":9291,"tokens_out":14179,"duration_ms":256531,"concrete_test":"Using the standard Schiff-moment framework underlying [15] (or the Hg EDM calculation cited there), compute d_Hg as a function of (d̃_u-d̃_d) and extract the coefficient. Compare it to Eq. 14's coefficient 5. If the mercury coefficient is smaller than 5 per unit (d̃_u-d̃_d) in the same units, the 'two orders of magnitude' claim weakens; if larger, it strengthens. A factor-of-3 discrepancy would move the claim from 'two orders' to 'one to two orders.'","verdict_should_be":"UNCHANGED","load_bearing_attack":"Eq. 14 gives d_D ≈ -e(d̃_u-d̃_d)[5+11/-3 + 0.6]. The paper then states this 'would represent an improvement on the current mercury EDM bound by two orders of magnitude.' That comparison requires the mercury EDM's dependence on the same (d̃_u-d̃_d) combination. The paper cites [15] only for the many-body reduction of d_Hg(ḡ^(0)), not for the ḡ^(1) (CEDM) channel. Without the mercury coefficient, the 'two orders' factor is not checkable from the paper. If the mercury Schiff-moment coefficient is a factor of 3 smaller than the implicit assumption, the improvement drops to ~30× (1.5 orders); if a factor of 10 smaller, to ~10× (one order). The headline 'one-two orders' survives at the low end, but the specific 'two orders' claim does not. This is distinct from the reader's Eq. 13 concern: even if Eq. 13's central value is correct, the mercury comparison is an independent soft point. The reader's rationale claims the ratio is clean because 'the same hadronic matrix elements appear in numerator and denominator,' but for CEDM the nuclear matrix elements differ (deuteron Eq. 4 vs mercury Schiff moment), so the ratio is not a pure cancellation.","agreement_with_reader":"partial"},"referee_report":{"model":"selfhosted/deepseek-v4.1-flash","summary":"The manuscript computes the electric dipole moment of the deuteron induced by CP-odd operators of dimension 4, 5 and 6: the QCD theta term, the electric and color electric dipole moments of the light quarks, four-quark interactions, and the Weinberg three-gluon operator. The nuclear matrix element is written as the isoscalar sum of the constituent nucleon EDMs plus a pion-exchange term dominated by the isospin-triplet pion-nucleon coupling (Eqs. 2-5). The hadronic inputs are taken from QCD sum rules for d_n + d_p (Eqs. 7, 12) and from a sum-rule determination of gbar^(1) (Eq. 13). The central claim is that the proposed reach |d_D| < (1-3) x 10^-27 e cm would improve sensitivity to these sources by one to two orders of magnitude relative to the neutron, mercury and thallium bounds, corresponding to |theta| < 3 x 10^-11 (Eq. 11), and would probe MSSM CP phases down to 10^-3 or below.","tokens_in":9526,"tokens_out":6711,"duration_ms":124853,"significance":"If the hadronic and nuclear matrix elements hold, this is a useful and falsifiable projection: a specific experimental reach is translated into Wilson coefficients across dimensions 4, 5 and 6, with the dominant operator identified (the triplet color-EDM combination, Eq. 14) rather than left implicit. The paper is commendably explicit about its uncertainties, quoting the 30-40% sum-rule error, the non-Gaussian parameter-variation range of Eq. 13, and the zero-range approximation error of Eq. 5, and it flags the factorization cancellation behind Eq. 13 as the weakest link. The argument that the deuteron has cleaner nuclear physics than mercury is well taken, and the MSSM phase-reach plots (Figs. 2 and 3) give the projection a concrete model-facing interpretation. The result is checkable in principle against the mercury and neutron channels, which is what makes the projection worth publishing.","major_comments":[{"comment":"The sentence stating that the projected reach 'would represent an improvement on the current mercury EDM bound by two orders of magnitude' is not checkable from the manuscript. Eq. (14) gives the deuteron coefficient of (dtilde_u - dtilde_d), but the mercury EDM's dependence on the same triplet combination is neither derived nor cited here; ref. [15] is invoked only for the many-body reduction of d_Hg(gbar^(0)), not for the gbar^(1) (color-EDM) channel. Because the deuteron and mercury nuclear matrix elements are different objects (Eq. 4 versus a Schiff moment), the ratio is not a cancellation and the factor of 100 depends entirely on the omitted mercury coefficient. Please quote that coefficient with its reference so the comparison can be reproduced, and state the improvement factor across the full quoted range of Eq. (13): at the lower end, gbar^(1) ~ 1 x 10^-12, the coefficient in Eq. (14) falls from about 5.6 to about 2.5, which reduces the quoted two orders toward one. The abstract's 'one-two orders' survives either way, but the specific 'two orders' sentence should be tied to the numbers.","section":"Eq. (14) and the paragraph immediately following it","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The abstract lists four-quark interactions among the operators analyzed, but the body gives no explicit deuteron EDM coefficient for C_ij qbar_i q_i qbar_j i gamma_5 q_j. The final paragraph asserts that the projected sensitivity would probe C_ij down to c ~ 0.01-0.1 for M_h ~ 100 GeV without showing the conversion from C_ij to d_D, and Eq. (2) does not include possible direct two-body contributions of these operators to the deuteron EDM beyond their induced nucleon EDMs. Either provide the estimate (even a factor-of-few conversion would suffice) or soften the abstract to say that four-quark operators are discussed rather than computed. The same applies to the assertion that the Weinberg operator gives a negligible contribution to d_piNN^D: the chiral and isospin suppression factors are stated but not shown.","section":"Abstract and final paragraph (four-quark operators)","authors_acknowledge":null,"authors_acknowledge_p":null}],"minor_comments":[{"comment":"The condensate normalization is written inconsistently: Eq. (7) uses <qbar q>/(1 GeV)^3 while Eq. (9) uses <qbar q>(1 GeV)^3. The latter reads as a multiplication and should be written with an explicit inverse power so that the GeV^-1 dimensions of the bracket in Eq. (9) are manifest.","section":"Eqs. (7) and (9)","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"Please state explicitly whether the color-EDM dtilde_q is defined with the factor of g_s absorbed or not. The numerical coefficient of Eq. (13) and any comparison with the mercury bound depend on this convention, and the two conventions differ by roughly a factor of two in the quoted coefficient.","section":"Eq. (6)","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The sign convention for gbar^(0) and gbar^(1) relative to the cited literature should be stated, since the interference between the two terms in Eq. (9) and the cancellation discussion in the theta-sector depend on it.","section":"Eq. (3)","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The caption says the EDMs are 'normalized to the experimental constraint in each case', but for the deuteron the normalization is the projected reach of 3 x 10^-27 e cm, not an experimental bound. Please say so in the caption, as is already done in the body text.","section":"Fig. 2 caption","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The statement that d_D(theta) is 'incalculable' within the chiral approach is stronger than the argument supports; what is shown is that the leading chiral logarithms cancel in d_n + d_p and that gbar^(1)(theta) vanishes without isospin violation. 'Not reliably calculable at leading order' would be more accurate.","section":"Paragraph after Eq. (9)","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The header lines are garbled in the version supplied ('Mome nt', 'Victori a', 'UMN-TH-22 29/04'); these should be corrected at proof stage.","section":"Title block and affiliations","authors_acknowledge":null,"authors_acknowledge_p":null}],"recommendation":"minor_revision"},"author_rebuttal":null,"desk_editor":{"model":"selfhosted/deepseek-v4.1-flash","letter":"The thing to know up front: this is an estimate paper, and a solid one. It builds the operator-level dictionary from theta_QCD, quark EDMs and CEDMs, four-quark operators and the Weinberg operator down to d_D, and it states its uncertainties instead of burying them. The genuinely new pieces are the eta-pi mixing contribution to gbar^(1)(theta) in Eq. 8, the numerical d_D(theta) in Eq. 10, the split of d_D into triplet and singlet CEDM combinations in Eq. 14, and the MSSM reach plots. There is also a nice technical observation early on: the chiral logs cancel in d_n + d_p, so d_D(theta) is not computable in chiral perturbation theory and one has to go to sum rules. That point alone saves a reader a week of confusion. Credit where due: the authors flag the vacuum-factorization cancellation in Eq. 13 explicitly and quote non-Gaussian errors rather than hiding them, which is more than most estimate papers do. Where it is soft. The stress-test note lands on one point: the sentence that d_D 'would represent an improvement on the current mercury EDM bound by two orders of magnitude' compares a derived deuteron coefficient to a mercury coefficient the paper never writes down. The mercury CEDM dependence exists in the literature, so this is not wrong, but it is not checkable from the paper, and the factor is doing real work in the abstract's 'one-two orders.' I would call that a moderate soft spot, not a load-bearing flaw: the qualitative claim that d_D is triplet-CEDM dominated and competitive with mercury survives regardless. The reader's rationale that the ratio is clean because 'the same hadronic matrix elements appear in numerator and denominator' is too generous for the CEDM channel, where the deuteron and mercury nuclear matrix elements differ. Second, Eq. 13 is load-bearing and the authors know it; the 5+11/-3 coefficient in Eq. 14 is the shakiest number in the paper. Smaller items: Eq. 15 carries no error bar, the 'cancellation would be unnatural' argument after Eq. 9 is qualitative (the central values do add, so it is fine), and the abstract advertises four-quark operators that get about one paragraph at the end. Who it is for: anyone working on light-nuclei EDMs or on SUSY CP phases in the decoupling regime. The MSSM reach plots are the part I would actually cite. Recommendation: send it out. A referee should press on the mercury comparison and on Eq. 13, and the rest will hold.","headline":"A careful, honest estimate paper that makes the physics case for the deuteron EDM; the headline 'two orders beyond mercury' rests on a comparison the paper asserts rather than shows.","tokens_in":10319,"tokens_out":2635,"duration_ms":49180},"pith_extraction":{"msc":[],"pacs":["13.40.Em","11.30.Er","12.60.Jv","21.10.Ky"],"model":"selfhosted/deepseek-v4.1-flash","headline":"The deuteron's electric dipole moment is a sharper probe of CP violation than the neutron's.","keywords":["deuteron electric dipole moment","CP violation","theta QCD","quark colour EDM","pion-nucleon coupling","MSSM CP phases","Weinberg operator","QCD sum rules"],"falsifier":"An independent determination of the CP-odd triplet pion-nucleon coupling — from lattice QCD, from an improved sum-rule analysis, or from a future measurement of the deuteron EDM itself once the neutron and mercury channels are subtracted — that comes out substantially below the $ḡ^{(1)} ∼ 2×10^{-12}(ẽ_u - ẽ_d)/10^{-26}$ cm of Eq. (13) would shrink the coefficient $5^{+11}_{-3}$ and remove the claimed two-orders-of-magnitude advantage over mercury.","tokens_in":10522,"feed_emoji":"⚛️","tokens_out":2976,"duration_ms":54629,"temperature":0.7,"pith_summary":"The paper asks what a proposed deuteron electric dipole moment (EDM) experiment, sensitive to roughly $(1-3)×10^{-27}$ e cm, would actually buy in reach on CP-violating physics. The authors assemble the deuteron EDM from the underlying CP-odd operators at 1 GeV — the QCD $\\theta$ angle, quark electric and colour dipole moments, four-quark interactions and the Weinberg operator — and show that the nuclear physics of the deuteron is unusually clean, so the translation from an experimental number to a statement about fundamental couplings is short. Their central claim is that reaching the proposed precision would improve sensitivity to these sources by one to two orders of magnitude over the existing neutron, mercury and thallium bounds. Concretely, a null result would push the bound on the QCD $\\theta$ angle to $|θ| < 3×10^{-11}$, and would constrain the difference of up- and down-quark colour EDMs two orders of magnitude beyond the mercury limit. The payoff is in supersymmetry: squark masses beyond 10 TeV, and CP-violating phases as small as $10^{-3}$, would come into view.","feed_headline":"Deuteron EDM could beat neutron and mercury limits 100-fold","feed_subtitle":"A proposed 10^-27 e cm measurement would probe CP-violating phases far beyond today's bounds, including in supersymmetry.","key_machinery":"The load-bearing device is the two-term decomposition of the deuteron EDM into a nucleon singlet piece and a pion-exchange piece, $d_D = (d_n + d_p) + d_{πNN}$, together with the claim that the exchange term is governed by the isospin-triplet CP-odd pion-nucleon coupling $ḡ^{(1)}_{πNN}$. That coupling is what converts a measured deuteron EDM into a statement about the colour-EDM difference $ẽ_u - ẽ_d$, and separately, through $η$–$π$ mixing, about the $\\theta$ angle. Each microscopic source is then run down to 1 GeV through QCD sum rules: the magnetic susceptibility $χ$ of the quark condensate fixes the $\\theta$-induced nucleon EDMs, and a sum-rule determination of $ḡ^{(1)}$ fixes the colour-EDM channel. The argument's economy comes from the fact that the deuteron is a weakly bound two-nucleon system, so these nuclear matrix elements carry smaller theoretical uncertainty than the corresponding mercury calculation.","core_discovery":"The paper establishes that the deuteron EDM is dominated by a different combination of microscopic CP-odd sources than the neutron EDM is, and that this makes it the better handle on several of them. At the nuclear level the authors write $d_D = (d_n + d_p) + d_{πNN}$, where the second term comes from pion exchange between the nucleons with a CP-odd pion-nucleon vertex, and they show following Khriplovich and Korkin that it is dominated by the isospin-triplet coupling $ḡ^{(1)}_{πNN}$, giving $d_{πNN} ≃ -(1.3 ± 0.3) e ḡ^{(1)}_{πNN}$ GeV$^{-1}$. For the $\\theta$ term, the one-loop chiral contributions cancel in $d_n + d_p$, so the authors instead use QCD sum rules for the nucleon combination plus an $η$–$π$ mixing estimate of $ḡ^{(1)}(θ)$, obtaining $d_D(θ) ≃ -e[(3.5 ± 1.4) + (1.4 ± 0.4)]×10^{-3} θ$ GeV$^{-1}$. For the dimension-five quark colour EDMs, the triplet combination $ẽ_u - ẽ_d$ enters both through the nucleon EDMs and, dominantly, through $ḡ^{(1)}$, giving $d_D ≃ -e(ẽ_u - ẽ_d)[5^{+11}_{-3} + (0.6 ± 0.3)] + …$; this is the same triplet combination the mercury EDM constrains, but the projected deuteron reach goes two orders of magnitude deeper. The authors then scan the MSSM with universal boundary conditions and show that the deuteron EDM remains observable for squark masses past 10 TeV, and that combined with the thallium bound it pins down both the $θ_μ$ and $θ_A$ phases, including the $A$-term phase that the other experiments leave poorly constrained.","pith_inferences":["Because the deuteron and mercury EDMs both key on $ẽ_u - ẽ_d$ but the deuteron's nuclear matrix element is far better controlled, the deuteron measurement could plausibly replace mercury as the standard constraint on that combination rather than merely supplementing it.","The claim that the theta-induced contributions from the nucleon sum rule and from pion exchange are comparable and of the same sign is what makes the quoted bound robust; a future lattice determination of either matrix element with better than 30 percent accuracy would sharpen the projected theta reach more than any further experimental improvement would.","If the triplet colour-EDM coefficient in $d_D$ is confirmed, the deuteron becomes a natural bridge between hadronic EDM searches and electric dipole searches in atoms and molecules, since all of them would then be reading off a small set of common quark-level coefficients."],"forward_implications":["A null deuteron EDM result at the proposed sensitivity would tighten the QCD theta angle bound to $|θ| < 3×10^{-11}$, over an order of magnitude beyond the neutron EDM limit.","The reach on the triplet colour-EDM combination $ẽ_u - ẽ_d$ would exceed the current mercury EDM bound by roughly two orders of magnitude.","Supersymmetric models with first- and second-generation sfermions in the multi-TeV range, the 'decoupling' solution to the SUSY CP problem, would be directly tested rather than merely bounded.","Combined with the thallium limit, a deuteron EDM measurement would constrain both MSSM CP phases, reaching $10^{-3}$ for $θ_μ$ and $10^{-2}$ for the $A$-term phase.","Dimension-six four-quark operators would become probeable for all quark flavours down to coefficients of order $0.01-0.1$ at a Higgs mass near 100 GeV, including at $\\tan β \\sim O(1)$."],"supporting_citations":[{"why":"Supplies the proposed experimental sensitivity, $|d_D| < (1-3)×10^{-27}$ e cm, that the whole reach analysis is normalised to.","marker":"[5]"},{"why":"Gives the zero-range deuteron calculation showing that the pion-exchange EDM is dominated by the isospin-triplet coupling, and the numerical coefficient in Eq. (4).","marker":"[6]"},{"why":"Provides the QCD sum-rule result for $d_n + d_p$ induced by the theta angle, which anchors the first term of Eq. (9).","marker":"[10]"},{"why":"Supplies the magnetic susceptibility of the quark condensate, $χ = -N_c/(4π^2 f_π^2)$, used in the theta-induced nucleon EDM estimate.","marker":"[12]"},{"why":"Supplies the sum-rule determination of the proton and neutron EDMs in terms of quark EDMs and colour EDMs, Eq. (12).","marker":"[17]"},{"why":"Supplies the sum-rule value of the triplet pion-nucleon coupling in terms of $ẽ_u - ẽ_d$, Eq. (13), which dominates the colour-EDM contribution to $d_D$.","marker":"[18]"},{"why":"The many-body recalculation of the mercury EDM that relaxes the mercury theta bound, which is the baseline the deuteron improvement is measured against.","marker":"[15]"},{"why":"Fixes the MSSM parameter point used in the phase-plane analysis of Fig. 3 and the squark-mass scan of Fig. 2.","marker":"[19]"},{"why":"Provides the two-loop evaluation of the Weinberg operator that gives the decoupling-scenario estimate $d_D ∼ e w × 20$ MeV.","marker":"[23]"}],"fun_headline_variants":["Deuteron EDM probes CP sources beyond neutron reach","Deuteron EDM tests quark color EDMs two orders deeper","Deuteron EDM stays visible for squarks past 10 TeV","Deuteron EDM plus thallium pins down two MSSM phases","Pion exchange makes deuteron EDM sensitive to CP-odd couplings"],"cache_read_input_tokens":0,"weakest_assumption_plain":"The claim that the deuteron EDM is dominated by the colour-EDM difference rests on a single QCD sum-rule determination of the triplet pion-nucleon coupling, whose quoted uncertainty comes from parameter variation around an exact cancellation in the vacuum factorization approximation.","fun_headline_variants_meta":{"raw":{"variants":["Deuteron EDM probes CP sources beyond neutron reach","Deuteron EDM tests quark color EDMs two orders deeper","Deuteron EDM stays visible for squarks past 10 TeV","Deuteron EDM plus thallium pins down two MSSM phases","Pion exchange makes deuteron EDM sensitive to CP-odd couplings"]},"model":"selfhosted/deepseek-v4.1-flash","effort":"low","attempts":1,"cost_usd":0.0,"raw_usage":{"total_tokens":2116,"prompt_tokens":1078,"completion_tokens":1038,"prompt_tokens_details":null,"completion_tokens_details":{"reasoning_tokens":957}},"tokens_in":1078,"tokens_out":1038,"duration_ms":16365,"image_pages":[],"temperature":1.0,"reasoning_budget":50,"reasoning_tokens":957,"transport_provider":"selfhosted","cache_read_input_tokens":0,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-11-13T08:54:33.157313+00:00","model_set":{"reader":"selfhosted/deepseek-v4.1-flash"},"pipeline_version":"pith-pipeline@v1.5.0-archive-selfhost","input_kind":null,"input_chars":null,"input_total_chars":null,"passes_missing":null,"published_standing":null,"published_confidence":null,"objection_audit":null,"run_record":null,"basis":{"kind":"not_recorded","source":null,"chars_given":null,"chars_total":null},"receipt":null,"falsifier":"An independent determination of the CP-odd triplet pion-nucleon coupling — from lattice QCD, from an improved sum-rule analysis, or from a future measurement of the deuteron EDM itself once the neutron and mercury channels are subtracted — that comes out substantially below the $ḡ^{(1)} ∼ 2×10^{-12}(ẽ_u - ẽ_d)/10^{-26}$ cm of Eq. (13) would shrink the coefficient $5^{+11}_{-3}$ and remove the claimed two-orders-of-magnitude advantage over mercury.","supporting_citations":[{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Supplies the proposed experimental sensitivity, $|d_D| < (1-3)×10^{-27}$ e cm, that the whole reach analysis is normalised to."},{"cited_title":"Nucl. Phys. A 665, 365","cited_arxiv_id":null,"evidence_quote":"Gives the zero-range deuteron calculation showing that the pion-exchange EDM is dominated by the isospin-triplet coupling, and the numerical coefficient in Eq. (4)."},{"cited_title":"Phys. Rev. Lett. 83, 2526 (1999); Nucl. Phys. B 573, 177","cited_arxiv_id":null,"evidence_quote":"Provides the QCD sum-rule result for $d_n + d_p$ induced by the theta angle, which anchors the first term of Eq. (9)."},{"cited_title":"Phys. Lett. B 569, 187","cited_arxiv_id":null,"evidence_quote":"Supplies the magnetic susceptibility of the quark condensate, $χ = -N_c/(4π^2 f_π^2)$, used in the theta-induced nucleon EDM estimate."},{"cited_title":"Phys. Rev. D 63, 073015","cited_arxiv_id":null,"evidence_quote":"Supplies the sum-rule determination of the proton and neutron EDMs in terms of quark EDMs and colour EDMs, Eq. (12)."},{"cited_title":"Phys. Lett. B 530, 123","cited_arxiv_id":null,"evidence_quote":"Supplies the sum-rule value of the triplet pion-nucleon coupling in terms of $ẽ_u - ẽ_d$, Eq. (13), which dominates the colour-EDM contribution to $d_D$."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"The many-body recalculation of the mercury EDM that relaxes the mercury theta bound, which is the baseline the deuteron improvement is measured against."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Fixes the MSSM parameter point used in the phase-plane analysis of Fig. 3 and the squark-mass scan of Fig. 2."},{"cited_title":"Phys. Rev. D 67, 015007","cited_arxiv_id":null,"evidence_quote":"Provides the two-loop evaluation of the Weinberg operator that gives the decoupling-scenario estimate $d_D ∼ e w × 20$ MeV."}],"lane_accuracy":{"status":"not yet measured","lane":{"model":"selfhosted/deepseek-v4.1-flash","input_kind":null},"url":"https://pith.science/accuracy"},"review_version":1}