Recognition: 3 theorem links
Large Language Models are Universal Reasoners for Visual Generation
Pith reviewed 2026-05-06 04:44 UTC · model claude-opus-4-7
The pith
A language model that drafts an image, critiques its own draft, then hands both to a diffusion generator beats single-pass text conditioning on compositional prompts.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Unified models that use a single language model for both image understanding and image generation can reliably tell when a generated image violates a prompt, even when they cannot generate a faithful image in one pass. The paper turns this asymmetry into a generation procedure: the language model first emits a coarse "visual draft" as discrete semantic tokens, then critiques that draft against the original prompt to produce a written list of mismatches, and finally a frozen diffusion generator is conditioned jointly on the prompt, the draft, and the critique. Under an identical diffusion backbone, this triplet conditioning lifts GenEval overall from 0.79 to 0.88 and DPG-Bench from 84.50 to 8
What carries the argument
A Draft–Evaluate–Diffuse pipeline in which one language model both generates a discrete-token visual draft (over a SigLIP-based VQ codebook treated as new vocabulary) and produces a textual critique of that draft, and a frozen diffusion model is conditioned on the joint triplet (prompt, draft, critique). The SigLIP-based discretization is doing real work: ablations show VAE-latent drafts hurt and pixel-reconstruction VQ drafts underperform, because the draft must be both autoregressively sampleable and semantically legible to the same model that will critique it.
If this is right
- Compositional alignment failures in current text-to-image systems can be reduced without retraining the diffusion generator, by inserting a draft-and-critique stage in front of it.
- Discrete tokens over semantically-aligned features (SigLIP-style) are a better intermediate representation for LLM-driven planning than VAE latents or pixel-reconstruction VQ codes.
- Counting, spatial position, and attribute binding — the long-standing weak spots of dense-embedding conditioning — are the categories most responsive to explicit corrective text supplied at generation time.
- Treating verification as a primitive distinct from generation, and feeding verification output back as conditioning, is a usable inference-time alternative to best-of-N or iterative regeneration.
- A single forward pass through prompt+draft+critique is enough; the framework does not need iterative refinement loops to match or exceed prior reasoning-augmented generators.
Where Pith is reading between the lines
- Because every training-time critique is produced by an external vision–language model, the fine-tuned LLM's inference-time critiques are at best a distillation of that evaluator; the method may be most honestly described as a way to compile an external verifier into the generation path.
- The same recipe should transfer to video and 3D generators, where compositional constraints are even harder and a discrete semantic draft would carry more planning value than a dense text embedding.
- If GenEval-style benchmarks are themselves scored by related vision–language judges, part of the headline gain may reflect alignment between the training critic and the benchmark critic rather than improved image semantics per se.
- The draft-only ablation already reaches 0.82 overall, suggesting the visual plan — not the natural-language critique — is doing the bulk of the lifting on most categories, with the critique mainly responsible for the large counting jump.
Load-bearing premise
That the model's self-critique at inference is a real verification signal rather than a learned imitation of the external vision–language model that labeled every training critique, in which case the gains would mostly reflect distillation of that external evaluator into the generation pipeline.
What would settle it
Replace the inference-time critique with a fixed generic string (or with the offline labeling vision–language model's own critique of the same draft) while keeping the rest of the pipeline unchanged. If GenEval and DPG-Bench scores stay near 0.88 / 86.30, the language model's "self-critique" is not the active ingredient; if they collapse toward the draft-only number (0.82), the critique is doing genuine verification work as claimed.
read the original abstract
Text-to-image generation has advanced rapidly with diffusion models, progressing from CLIP and T5 conditioning to unified systems where a single LLM backbone handles both visual understanding and generation. Despite the architectural unification, these systems frequently fail to faithfully align complex prompts during synthesis, even though they remain highly accurate at verifying whether an image satisfies those same prompts. We formalize this as the \emph{understanding-generation gap} and propose UniReasoner, a framework that leverages the LLM as a universal reasoner to convert its understanding strength into direct generation guidance. Given a prompt, the LLM first produces a coarse visual draft composed of discrete vision tokens. It then performs a self-critique by evaluating the draft for prompt consistency, producing a grounded textual evaluation that pinpoints what needs to be corrected. Finally, a diffusion model is conditioned jointly on the prompt, the visual draft, and the evaluation, ensuring that generation is guided by explicit corrective signals. Each signal addresses a limitation of the other: the draft provides a concrete, scene-level anchor that reduces under-specification in text-only conditioning, while the evaluation turns verification into grounded, actionable constraints that correct omissions, hallucinations, and relational errors. Experiments show that UniReasoner improves compositional alignment and semantic faithfulness under the same diffusion backbone while maintaining image quality, demonstrating a practical way to exploit LLM reasoning to close the understanding-generation gap.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper proposes UniReasoner, a Draft–Evaluate–Diffuse pipeline for text-to-image generation. Given a prompt p, a fine-tuned LLM (Qwen) first generates a discrete visual draft d in a SigLIP-2-derived VQ space, then produces a textual "grounded evaluation" e of (p, d), and finally a frozen SANA diffusion model is conditioned jointly on (p, d, e). The framing claim is that the LLM serves as a "universal reasoner" that converts its own verification strength into actionable generation guidance, closing an "understanding–generation gap." Empirically, UniReasoner reports GenEval overall 0.79→0.88 and DPG-Bench 84.50→86.30 over the SANA backbone, with the largest gains on Counting, Position, and Attribute Binding (Tables 1, 2). Ablations (Tables 3–5) attribute the gain to (i) replacing T5 with an LLM, (ii) the SigLIP-quantized draft over VAE/VQ alternatives, and (iii) inclusion of the evaluation signal e on top of (p, d).
Significance. If the central empirical claim holds, the work contributes a useful and architecturally light recipe: under a frozen SANA generator, conditioning on a discrete visual draft plus a textual critique yields meaningful gains on the compositional axes (counting, position, attribute binding) where text-only conditioning is known to be brittle. The SigLIP-quantized draft tokenization is a well-motivated design choice, and the controlled ablation against VAE/VQ drafts (Table 5) is informative. The frozen-backbone protocol makes the comparison to SANA reasonably clean, and the gains are reproduced on two benchmarks (GenEval, DPG-Bench). The paper is also clear about the offline use of Qwen-VL for dataset construction (footnote 1, §4.1.1), which aids interpretation. The principal limitation of significance is conceptual: the paper's headline framing — LLM "self-critique" as the mechanism — is not isolated by the experiments, which leaves the contribution closer to "VLM-distilled critique as auxiliary conditioning" than to the universality claim in the title.
major comments (5)
- [§4.1.1 (Stage I/II) and §3.2 (Eq. 3.5)] The framing of e = Eval_φ(p, d) as the LLM's own self-critique is load-bearing for the 'universal reasoner' claim, but per §4.1.1 the supervision target for e in both Stage I and Stage II is produced by an external VLM (Qwen-VL). At inference, e is therefore a learned text-to-text mapping that imitates Qwen-VL on (p, d), not an act of verification by the base LLM. The categories where the largest gains appear (Counting, Position, Attribute Binding; Table 4 row 3→4: 0.82→0.88) are precisely those where Qwen-VL is known to be strong, which is consistent with VLM distillation. To support the framing, please add an experiment with e produced directly by an off-the-shelf Qwen-VL at inference (no fine-tuning of the LLM's evaluator head), and conversely an experiment where e is supervised by a substantially weaker or stronger VLM. If the gain tracks the supervisor rather than the base LLM, the
- [Figure 1 / §1 motivating claim] The motivating asymmetry — 'the same model fails to generate four apples but correctly counts five in its own output' — is presented as a property of the LLM that UniReasoner harnesses. However, in the trained pipeline the counting/position critiques at inference come from a head supervised by Qwen-VL, not from probing the base LLM's verification ability. Please provide a quantitative measurement of the base (pre-fine-tune) LLM's verification accuracy on (p, d) pairs vs. the post-fine-tune evaluator's accuracy vs. Qwen-VL's accuracy on the same pairs. Without this, the empirical content of the 'understanding-generation gap' framing is not separated from 'distill a stronger external verifier into the conditioning stream.'
- [§4.2, Tables 1–2] The claim that improvements stem from the reasoning framework rather than from a stronger backbone is supported by the shared SANA generator, but the comparison does not control for training data exposure. UniReasoner additionally trains on a Stage II hard-negative set built using FLUX candidates and Qwen-VL scoring (§4.1.1). Please report a SANA+ baseline that is fine-tuned on the same image set with the same compute but with text-only conditioning (no draft, no eval), to disentangle 'reasoning conditioning' from 'additional supervised fine-tuning of the cross-modal connector on a curated set.' The current Table 4 row 1 ('Text only') is helpful but not labeled as receiving the same fine-tuning regime.
- [§4.3, Table 4] Row 2 (Draft only) and Row 3 (Text+Draft) are both 0.82 overall, while Row 4 (Text+Draft+Eval) is 0.88. Because e is generated by the same fine-tuned LLM that produced d, e and d are not independent conditioning streams. It would strengthen the ablation to report (a) Text+Eval (no draft) and (b) Text+Eval where the draft used to compute e is held out from the diffusion conditioner. This separates 'evaluation as corrective signal on the actual draft' from 'evaluation as a richer caption of the prompt.'
- [§4.1.2 / Tables] No seeds, variances, or confidence intervals are reported on GenEval/DPG-Bench. Given that several reported deltas in Table 4 are within typical run-to-run variance for these benchmarks (e.g., Position 0.76→0.77, Attribute Binding 0.67→0.68), please report multi-seed means and standard deviations for at least the main table and the Eval-ablation rows.
minor comments (9)
- [Title and §1] 'Universal reasoner' is a strong term. Consider softening to something like 'LLM as drafter and evaluator,' or explicitly defining what universality is being claimed beyond the two-stage role.
- [Eq. (3.7)] c(Concat(p, d, e)) hides important detail: how are visual draft tokens (special <v_k> tokens) and text tokens fused inside the LLM-encoder for conditioning? Are positional embeddings shared? Please add a short paragraph or appendix figure.
- [§3.1, 'Why SigLIP-based Discretization?'] The argument that SigLIP tokens are 'readable' by the LLM is plausible but not directly tested. Table 5 establishes SigLIP > VQ > VAE on downstream GenEval, but does not isolate readability from raw representational quality. Consider a probing experiment in which the LLM is asked to caption the draft tokens directly and accuracy is measured.
- [Footnote 1, §4.1.1] The disclosure that Qwen-VL is used for offline dataset construction is appreciated. Please make this equally prominent in the abstract and in §1, since readers will likely interpret 'self-critique' as not involving a separate VLM at any stage.
- [§4.1.1 Stage II] Please specify the size of the hard-negative finetuning set, the FLUX checkpoint used, the Qwen-VL alignment-scoring prompt, and the threshold for 'poorly aligned' vs 'strictly better-aligned.' These choices materially affect reproducibility.
- [Table 1 / Table 2] GenEval/DPG-Bench numbers for baselines should cite the source of each number (own runs vs. reported in original paper), as is standard.
- [arXiv ID] The arXiv identifier '2605.04040' on the masthead appears to be a typo (year 2605); please correct.
- [Figure 3 caption] It would help to mark which evaluation strings are produced by the trained LLM at inference vs. by Qwen-VL during dataset construction; in the current presentation a reader cannot tell these apart.
- [References] Several arXiv-only citations (e.g., Bai et al. 2025 Qwen3-VL, Wu et al. 2025 Qwen-Image, Tian et al. 2025a UniGen-1.5) are dated after the manuscript date of 6 May 2026; double-check these are correct and not placeholders.
Simulated Author's Rebuttal
We thank the referee for a careful and constructive report. The central critique — that our 'LLM as universal reasoner / self-critique' framing is not isolated by the experiments, because the evaluator e is supervised by Qwen-VL in both training stages — is fair, and we accept it. The empirical contribution as currently demonstrated is most accurately described as 'a discrete SigLIP-quantized visual draft plus a VLM-distilled grounded critique, used as joint conditioning for a frozen SANA generator.' Whether this additionally constitutes self-critique by the base LLM is an empirical question we did not adequately test. For the revision we commit to (i) supervisor-substitution and supervisor-strength experiments, (ii) a direct measurement of base-LLM vs. fine-tuned-evaluator vs. Qwen-VL verification accuracy on matched (p,d) pairs, (iii) a SANA-FT baseline matched in data and compute to disentangle reasoning conditioning from connector fine-tuning, (iv) Text+Eval and draft-withheld ablations to separate corrective signal from caption enrichment, and (v) multi-seed means and standard deviations for the main and Eval-ablation tables. We will also revise the title, abstract, and §1/§3.2 framing to be commensurate with what these experiments actually establish; if the supervisor-substitution results indicate that gains track the supervisor rather than the base LLM, we will retitle the contribution accordingly.
read point-by-point responses
-
Referee: The 'self-critique' framing is undermined by the fact that e is supervised by Qwen-VL in both Stages I and II. Please add (i) an experiment using off-the-shelf Qwen-VL at inference (no LLM evaluator fine-tuning) and (ii) experiments varying the supervisor's strength, to test whether gains track the supervisor or the base LLM.
Authors: We agree this is a substantive concern and that our current experiments do not cleanly isolate self-critique from VLM distillation. The proposed controls are well-defined and we will run them for the revision: (a) inference-time substitution of e with off-the-shelf Qwen-VL output applied to the decoded draft (and to the discrete draft via image decoding), (b) re-supervising e with a weaker captioner (e.g., BLIP-2) and a stronger VLM (e.g., Qwen2.5-VL-72B), holding the rest of the pipeline fixed. We will report GenEval/DPG-Bench broken down by Counting/Position/Attribute Binding so the supervisor-vs-base-LLM dependency is visible. We will additionally soften the framing in the title/abstract/§1 from 'self-critique' to 'LLM-internalized grounded evaluation', and in §3.2 we will explicitly state that Eval_φ is a learned text-to-text mapping whose supervision derives from a VLM, with self-critique being one limit case rather than the established mechanism. If the new experiments show that gains track the supervisor, we will retitle the contribution accordingly (closer to 'distilled grounded critique as auxiliary conditioning'). revision: yes
-
Referee: The Figure 1 motivating asymmetry is presented as a property of the base LLM, but at inference the critique comes from a Qwen-VL-distilled head. Please measure base (pre-fine-tune) LLM verification accuracy vs. post-fine-tune evaluator vs. Qwen-VL on the same (p,d) pairs.
Authors: This measurement is appropriate and we will add it. Concretely, we will construct an evaluation set of (p, d) pairs spanning Counting, Position, Attribute Binding, and Physical Plausibility, with ground-truth alignment labels obtained by human annotation on a stratified subsample. We will then report verification accuracy for: (i) the base Qwen3 LLM consuming the discrete draft tokens directly (zero-shot), (ii) the same base LLM consuming a decoded image plus prompt, (iii) our fine-tuned evaluator head, and (iv) Qwen-VL. We expect this will quantify how much of the 'understanding-generation gap' is intrinsic to the base LLM versus inherited from the VLM supervisor, and we will revise §1 and Figure 1's caption to reflect the measured numbers rather than an anecdotal asymmetry. revision: yes
-
Referee: Comparison to SANA does not control for additional training data exposure (Stage II FLUX/Qwen-VL-curated set). Add a SANA+ baseline fine-tuned on the same images with the same compute but text-only conditioning to disentangle reasoning conditioning from supervised fine-tuning of the connector.
Authors: This is a fair criticism and the comparison the referee describes is the right one. We will add a SANA-FT baseline that (a) unfreezes the same cross-modal connector trained in UniReasoner, (b) consumes only the prompt p (no d, no e), and (c) is trained on the identical Stage I + Stage II image set with matched optimizer, schedule, iteration count, and effective tokens-seen. We will also add a (Text only) variant under our connector trained on the same data, and clarify in Table 4 that Row 1 currently uses the original SANA conditioning rather than our retrained connector — this labeling ambiguity is a real defect we will fix. The SANA-FT delta will be reported alongside Tables 1–2 so readers can separate 'data/connector fine-tuning' from 'reasoning conditioning'. revision: yes
-
Referee: In Table 4, Draft only and Text+Draft are both 0.82, while adding Eval gives 0.88; but e is generated from the same LLM that produced d. Add (a) Text+Eval (no draft) and (b) Text+Eval where the draft used to compute e is withheld from the diffusion conditioner, to separate corrective signal from richer caption.
Authors: We accept this and will add both ablations. (a) Text+Eval (no draft to the diffusion model, but e still computed on a draft generated internally) directly tests whether e functions primarily as a richer prompt rewrite. (b) An additional row where e is computed on draft d, but the diffusion conditioner receives only (p, e) — i.e., the draft is consumed by the evaluator and then discarded — isolates 'evaluation as corrective signal grounded in a hidden draft' from 'evaluation as expanded caption.' We will also add (c) Text + e_random, where e is drawn from a different prompt-matched draft, as a sanity check that the draft-grounding is what carries the signal. These rows will be added to Table 4 with the same protocol. revision: yes
-
Referee: No seeds, variances, or confidence intervals are reported; several deltas in Table 4 are within typical run-to-run variance (e.g., Position 0.76→0.77, Attribute Binding 0.67→0.68). Report multi-seed means and standard deviations for at least the main table and Eval-ablation rows.
Authors: We agree, and the missing variance estimates are a clear gap. For the revision we will report mean ± std over at least three independent training seeds for Table 1 (UniReasoner and the SANA-FT baseline) and Table 4 (all four conditioning rows), and over three independent sampling seeds at fixed checkpoints for the remaining ablations (Tables 3, 5), where retraining cost is prohibitive. We will explicitly mark deltas that fall within ±1 std as not statistically distinguishable, including the Position 0.76→0.77 and Attribute Binding 0.67→0.68 cases the referee flags. The headline gains (Counting 0.72→0.90, overall 0.82→0.88) we expect to remain well outside seed variance based on preliminary repeated runs, but we will report rather than assert this. revision: yes
- We cannot, within the current manuscript, demonstrate that the base (pre-fine-tune) LLM possesses the verification accuracy implied by Figure 1 and §1; the anecdotal BAGEL examples are not a substitute for the quantitative measurement the referee requests, and the result of that measurement may not support the original 'understanding-generation gap' framing. We commit to running the experiment and revising the framing to match its outcome, but we cannot pre-commit to the result.
Circularity Check
Empirical gains on GenEval/DPG-Bench are externally measured and not circular, but the "LLM as universal reasoner / self-critique" framing reduces to a relabeling: the evaluator e is trained to imitate Qwen-VL outputs, so what is sold as the LLM's own verification strength is, by construction, distilled VLM critique.
specific steps
-
renaming known result
[§3.2 Eq. 3.5 vs §4.1.1 Stage I 'Grounded Evaluation' bullet]
"e = Eval_ϕ(p, d) ... To perform this self-critique, the LLM is provided with (i) the original prompt p, (ii) the discrete visual draft d, and (iii) instructions to identify semantic inconsistencies... [§4.1.1] We process the pair (p, ˜I) through a VLM (Qwen-VL) to generate the evaluation e. This evaluation checks for semantic consistency and verbalizes concrete mismatches..."
Eq. 3.5 defines e as the LLM's own self-critique, but §4.1.1 specifies the supervision target for e is generated by an external VLM (Qwen-VL). At inference the LLM emits a learned imitation of Qwen-VL's diagnoses on (p, d̃). The framing 'LLM converts its verification strength into guidance' relabels what is operationally Qwen-VL distillation as the LLM's own self-critique. The motivating Fig. 1 narrative (the same model that miscounts can correctly count its own output) is not what the training protocol implements.
-
self definitional
[§3 Eq. 3.1 'Overview' and footnote 1 in §4.1.1]
"d ∼ Draft_ϕ(p), e = Eval_ϕ(p, d), I ∼ Diffuse_θ(p, d, e) ... both the drafting and evaluation stages are executed by the same underlying LLM (parameterized by ϕ), framing it as a universal reasoner ... [footnote] The VLM is used exclusively for offline dataset construction; our framework UniReasoner relies solely on the base LLM as the universal reasoner."
The 'universal reasoner' identity is defined by the architectural property that ϕ produces both d and e at inference. But the function Eval_ϕ is defined (by training) as 'predict Qwen-VL's evaluation given (p,d).' So the claim 'the LLM is a universal reasoner because it can both draft and evaluate' is true only by training-target definition; the evaluator's competence is inherited from Qwen-VL, not demonstrated as an intrinsic property of ϕ. The inference-only disclaimer does not change the definitional point.
-
fitted input called prediction
[Table 4 (row 3 vs row 4) and §4.3 'Effectiveness of the UniReasoner Conditioning']
"augmenting the conditions with the grounded evaluation (Text+Draft+Eval, Row 4) produces a substantial jump to 0.88 overall. The improvement is dominated by categories that require multi-constraint correction: Counting increases from 0.72 to 0.90 (+0.18), Position from 0.77 to 0.83 (+0.06), and Attribute Binding from 0.68 to 0.72 (+0.04)"
The +0.06 jump attributed to 'evaluation as a what-to-fix signal' uses an e that was supervised by Qwen-VL, and the GenEval categories that improve most (counting, position, attribute binding) are exactly Qwen-VL's documented strengths. The ablation does not isolate whether the gain is from the LLM's own verification capability or from distilled VLM signal injected as conditioning — i.e., a controlled comparison against 'use Qwen-VL critiques directly at inference' is missing, so the claim that the LLM's own evaluation strength causes the gain is not separated from the trivial alternative.
full rationale
The numerical headline (SANA 0.79→0.88 on GenEval, 84.50→86.30 on DPG-Bench, with the same frozen diffusion backbone) is benchmarked against external evaluators and is not circular: those scores are independent of the training pipeline's internal definitions. However, the paper's load-bearing conceptual claim — that UniReasoner "converts the LLM's understanding strength / verification strength into actionable guidance" via "self-critique" — does have a definitional problem. Section 3.2 defines e = Eval_φ(p, d) and calls it self-critique by the same LLM ϕ. But Section 4.1.1 reveals that in both Stage I (pretraining) and Stage II (finetuning), the supervision target for e is produced by an external VLM (Qwen-VL), not by the LLM itself. At inference, ϕ therefore emits whatever text-to-text mapping it has learned to imitate Qwen-VL's diagnoses on (p, d̃). This is distillation of Qwen-VL into ϕ's text head, then routed as conditioning to SANA — not the LLM "recovering" a latent verification ability it already had (the motivating story in Fig. 1, where BAGEL/Qwen counts five apples correctly post-hoc). The footnote acknowledges this ("The VLM is used exclusively for offline dataset construction; our framework UniReasoner relies solely on the base LLM as the universal reasoner"), but the inference-only argument does not address the core issue: the trained ϕ's evaluator head is, by construction, a learned imitator of Qwen-VL. The categories where gains concentrate in Table 4 row 3→4 (counting +0.18, position +0.06, attribute binding +0.04) are exactly Qwen-VL's strengths, consistent with VLM distillation rather than emergent self-verification. This is best classified as renaming/relabeling (pattern 6): a VLM-distilled critique generator is renamed "LLM self-critique," and the universality claim trades on that label. It is not pure mathematical circularity (no equation X = Y by construction), and the empirical headline is externally checked, so the score is moderate (4), not high. The correctness/attribution concern about whether the title's "universal reasoner" claim is supported is real but belongs partly under correctness risk rather than strict circularity.
Axiom & Free-Parameter Ledger
Lean theorems connected to this paper
-
Empirical benchmark gains; no parallel to RS's parameter-free constant derivations (e.g., Constants.hbar_eq_phi_inv_fifth, ConstantDerivations.all_constants_from_phi).hbar_eq_phi_inv_fifth unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
UniReasoner improves overall performance from 0.79 to 0.88 on GenEval... and from 84.50 to 86.30 on DPG-Bench.
-
Paper has tunable hyperparameters; RS forcing chain has zero adjustable parameters (RealityFromDistinction.reality_from_one_distinction).reality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
We train the network using the AdamW optimizer with an initial learning rate of 5×10⁻⁵... pretrained for 60,000 iterations... finetuned for 20,000 iterations.
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.