{"id":"caa6ed9c-3db8-4c08-b7c4-1b9ac1f3a62a","arxiv_id":"2412.12585","paper_version":2,"verdict":"REJECT","confidence":"MODERATE","novelty_score":3.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":3,"one_line_summary":"The paper rederives standard optical-theorem and partial-wave cross-section formulas, plus a Shannon and differential entropy decomposition for inclusive scattering, by regulating divergent volume and time factors with the cross section itself.","lead":"This paper presents a density-matrix method for scattering that uses unitarity to derive cross sections and entropy formulas without the usual scattering-amplitude machinery. A generalist might read it because it aims to give particle physicists a ready-made toolkit for quantum information metrics such as entanglement and mutual information.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"The derivation of Eq. (13) is circular: Eq. (3) already identifies V/(υT) with the cross section, and Eq. (13) only reimposes that normalization; the hard-sphere numbers add further assumptions not fixed by unitarity.","rationale":"The reader identifies Eq. (3) as the weakest assumption, and my independent reading confirms this is the central flaw. The abstract promises a derivation of the cross section without scattering amplitude or Lippmann-Schwinger, but the derivation starts from Eq. (3), which is the optical theorem in the form V/(υT)=σ. The subsequent trace normalization in §3.2 does not add independent information; it reimposes the same normalization. The hard-sphere application then requires further non-unitarity inputs (ℓ_max = kR, sin²δ = 1/2). The inelastic entropy in Section 4 also depends on importing σ_in and dσ_in/d³k. These observations support the reader's rejection. I do not see a way to salvage the central claim as stated, though the paper's elementary reminders about unitarity preserving reduced density matrices of non-interacting witnesses are correct and could be useful pedagogical material. The verdict REJECT is appropriate: the load-bearing derivation is circular and the advertised new capability is not demonstrated.","tokens_in":11955,"tokens_out":2534,"duration_ms":25555,"concrete_test":"Re-derive Eq. (13) from Eq. (12) without invoking Eq. (3): define N = V/(υT) as an arbitrary regulator and impose Tr ρ_f^ℓ = 1. The result is N = (4π/k²) Σ (2ℓ+1) sin²δ_ℓ, which only fixes N. Then compare this N with a known physical cross section, e.g. hard-sphere scattering at kR = 10 using exact phase shifts δ_ℓ from matching boundary conditions at r = R. If the 'derived' σ agrees with the standard optical-theorem sum, it is because the standard sum was already assumed; if it disagrees, the averaging/cutoff assumptions fail. Either way the claim that unitarity alone fixes the cross section is decided.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The paper's central claim is that unitarity alone yields the scattering cross section without the scattering amplitude or the Lippmann-Schwinger equation. The load-bearing step is Eq. (3), V/(υT) = σ. This is not a harmless regularization: it is the optical theorem / standard definition of cross section in terms of transition rate, injected before any density-matrix calculation. In §3.2, the initial ℓ-space density matrix Eq. (10) is written with a prefactor 1/(V/(υT)) = 1/σ, so σ already enters as the assumed normalization. The final density matrix Eq. (12) has prefactor 4π/(σ k²). Imposing Tr ρ_f^ℓ = 1 then yields Eq. (13), σ = (4π/k²) Σ (2ℓ+1) sin²δ_ℓ. This step merely recovers the previously assumed identification V/(υT)=σ; it does not derive a cross section from unitarity. Without Eq. (3), Eq. (13) is a tautological definition of the regulator, not a prediction. The hard-sphere results, ⟨ℓ⟩ ≈ 2kR/3 and σ ≈ 2πR², additionally assume ℓ_max = kR and replace sin²δ_ℓ by its average 1/2, neither of which follows from unitarity; the actual phase shifts require solving the scattering problem. Section 4 similarly imports the inclusive cross section σ_in and differential distribution dσ_in/d³k from external sources, so the Sackur-Tetrode entropy is not derived from unitarity alone. Thus the central novelty, computing cross sections without amplitude or Lippmann-Schwinger, is unsupported.","agreement_with_reader":"agree"},"referee_report":{"model":"deepseek-v4-flash","summary":"This manuscript argues that unitarity alone, together with density-matrix language, suffices to compute scattering cross sections and quantum-information metrics. Sections 2 and 3 introduce a 'regularization' V/(υT)=σ, construct partial-wave density matrices for hard-sphere scattering, and claim to derive σ = (4π/k²)Σ(2ℓ+1)sin²δ_ℓ and ⟨ℓ⟩≈2kR/3 without the scattering amplitude or the Lippmann-Schwinger equation. Section 4 applies analogous reasoning to inclusive e-p scattering and obtains a Sackur-Tetrode entropy from a Shannon term and an additional momentum-space entropy. The paper also lists unitarity constraints (i)–(vii), including a proof that entanglement swapping by interaction and by measurement produce the same bipartite entropy.","tokens_in":12330,"tokens_out":7617,"duration_ms":68971,"significance":"If valid, the claimed shortcut would let particle physicists compute cross sections and entanglement measures directly from unitarity, bypassing Green's functions. However, the central derivation is not valid as stated: Eq. (3) injects the total cross section through the optical theorem before any density-matrix calculation, and Eq. (13) recovers the same object by trace normalization. The hard-sphere numbers require additional assumptions (ℓ_max=kR, sin²δ_ℓ=1/2), and Section 4 imports σ_in and dσ_in/d³k from external sources. The paper does contain correct elementary observations—unitarity preserves trace and purity, the witness-particle argument in item (v) is sound, and the entanglement-swapping proof in item (iv) is explicit—but these do not support the advertised new capability. Because the headline novelty is a circular reuse of the optical theorem, the result does not constitute the claimed derivation.","major_comments":[{"comment":"The load-bearing 'regularization' is not a harmless regulator: Eq. (3) sets V/(υT) equal to the total cross section σ by invoking the optical theorem. In the text immediately before Eq. (3), the coefficient 1−σ/(V/υT) is already identified with the probability of no scattering, and setting it to zero defines σ as the total cross section. This is the standard cross-section formula (transition rate divided by luminosity), not a consequence of unitarity alone. Every subsequent use of σ as a normalization—including Eq. (4), Eq. (7), Eq. (9), and Appendix A—therefore presupposes the quantity the paper claims to derive. The statement in §5 that 'without unitarity or the optical theorem, which suggests the regularization' confirms this reliance; the optical theorem is precisely an amplitude-based input.","section":"§2, Eq. (3)"},{"comment":"Eq. (13) is not derived from unitarity; it is forced by prior normalization choices. Eq. (10) defines the initial ℓ-space density matrix with prefactor 1/(V/υT)=1/σ, and Eq. (11) fixes σ = (π/k²)Σ(2ℓ+1) from trace normalization. Eq. (12) then writes the final density matrix with prefactor 4π/(σk²). Imposing Trρ_f^ℓ=1 gives σ = (4π/k²)Σ(2ℓ+1)sin²δ_ℓ, which is the standard partial-wave cross section. Thus Eq. (13) is a restatement of the normalization already assumed in Eq. (3) and Eq. (10); it does not predict σ from unitarity. If σ were an unknown, trace normalization would only fix the scale of the density matrix, not determine physical cross sections.","section":"§3.2, Eqs. (11)–(13)"},{"comment":"The numerical results ⟨ℓ⟩≈2kR/3 and σ≈2πR² rest on two assumptions that unitarity does not provide: a cutoff ℓ_max=kR and replacing sin²δ_ℓ by its average 1/2. These are physical modeling assumptions (strong absorption up to impact parameter R), not consequences of S-matrix unitarity. Unitarity only requires S_ℓ=e^{2iδ_ℓ}; it says nothing about the values of δ_ℓ. The actual hard-sphere phase shifts, tanδ_ℓ = j_ℓ(kR)/n_ℓ(kR), must be obtained by solving the boundary-value problem, which is exactly the kind of input the abstract claims to avoid. Consequently, the abstract's claim that unitarity alone allows finding the cross section without the scattering amplitude is unsupported.","section":"§3.2, hard-sphere estimates"},{"comment":"The Sackur-Tetrode derivation is not autonomous. Eq. (15) introduces the inclusive cross section σ_in and Eq. (17) introduces dσ_in/d³k, which are taken from an external source (Griffiths, eq. (8.33)) and from the measured or calculated inclusive process. Unitarity alone cannot determine these quantities; indeed, inelastic cross sections require the full T-matrix. Thus Eq. (18) is a rearrangement of the input distribution into an entropy expression, not a derivation of the entropy from unitarity. The additional claim that the last term 'evokes the uncertainty principle' is not substantiated beyond the dimensional observation that ℏ appears.","section":"§4, Eqs. (15)–(18)"},{"comment":"Appendix A's proof of Eq. (A.1) does not establish the amplitude relation from unitarity. It assumes the differential cross section equals |f|², derives a relation for |g(k′)|², and then concludes that g(k′) equals ℏ²/(2π)²M f(k′,k) up to a phase. Since a global phase is undetermined by this argument, the later claim that the phase is found by comparing with Eq. (14) amounts to importing the standard partial-wave amplitude. Thus the 'correct scattering amplitude' is recovered only after the phase shifts have been supplied by other means, which undermines the advertised derivation.","section":"Appendix A"}],"minor_comments":[{"comment":"There is a typo, 'final density density matrix', and the S-matrix convention changes without comment: §2 uses S=1+iT while §3.1 uses S=1−2πiT; the relation between these conventions should be stated explicitly.","section":"§3.1"},{"comment":"The sentence 'Do not confuse T eqn. (11) with T in eqn. (8)' is confusing because 'T' in Eq. (11) is the time and 'T' in Eq. (8) is the transition operator; this distinction should be made with different symbols.","section":"§3.2"},{"comment":"Eq. (9) uses δ³(0) both as a normalization factor and inside A(k′,k′′), making the units difficult to follow; a short dimensional analysis would improve readability.","section":"Eq. (9)"},{"comment":"S_k in Eq. (19) contains log V and log(2πℏ)³ with V unregularized; the text should state whether S_k is defined only up to an additive divergent constant, since the entropy itself is usually required to be finite.","section":"§4, Eq. (19)"},{"comment":"The proof of item (v) is deferred to 'Shivashankara (2023)', but this result is one of the paper's claimed constraints; a self-contained statement of exactly which result from that reference is being used would make the paper more useful.","section":"References"}],"recommendation":"reject","confidential_remarks":"The circularity identified in the reader's report is present in the manuscript itself: Eq. (3) injects the cross section through the optical theorem, Eq. (13) recovers it from trace normalization, and the hard-sphere numbers use assumptions that unitarity does not fix. This is a load-bearing error in the paper's central novelty, so I do not see a revision within the current scope that would leave the advertised claim intact. The paper might be improved by reframing as a pedagogical review of unitarity constraints on density matrices, but as submitted the central derivation is unsupported."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"The paper’s selling point is that unitarity plus density matrices gives cross sections without the scattering amplitude or Lippmann-Schwinger. That claim doesn’t survive contact with Eq. (3). Setting V/(υT) = σ is exactly the optical theorem / standard cross-section definition, imported before any density-matrix work. The initial ℓ-space density matrix is normalized with 1/σ, and the final one is normalized with 4π/(σk²); imposing Tr ρ = 1 then returns the partial-wave cross-section formula. That’s a consistency check, not a derivation from unitarity alone. The reader’s circularity charge lands.\n\nThe hard-sphere numbers are also softer than presented. ⟨ℓ⟩ ≈ 2kR/3 and σ ≈ 2πR² require l_max = kR and sin²δ_l → 1/2, neither of which follows from unitarity — those are extra dynamical assumptions. The abstract’s “for the first time” is also too strong, since Peschanski and Seki (2019) already did the partial-wave entropy calculation, and the paper itself cites it.\n\nWhat’s genuinely useful: the unitary-witness argument in Section 2(v) is a clean reminder that local unitary operations don’t change a spectator’s reduced density matrix, and the critique of Blasone et al. is pointed. The entropy decomposition in Eq. (18) — a binary Shannon term plus the continuous differential entropy of the normalized momentum distribution — is a tidy way to present inclusive-scattering entropy, though it is exactly the standard inclusive cross section grafted on.\n\nSoft spots in proportion: Eq. (3) is the load-bearing flaw, not a minor one. Appendix A’s derivation of Eq. (5) also leans on the same normalization, so it doesn’t independently establish the T–f relation. The paper is honest about some limitations (the cutoff and average phase shift are stated, not hidden).\n\nWho gets value: someone teaching or learning the basic QI-in-scattering framework, or someone wanting a compact critique of earlier papers that drop unitarity. As a new derivation of cross sections, no. As a pedagogical review with a slightly overreaching abstract, it’s okay.\n\nRecommendation: a serious referee could engage with it, mainly to force the authors to drop the “without the scattering amplitude” claim and reframe as a normalization-consistency check. I’d send it to review if the venue cares about pedagogical or quantum-information exegesis; I’d desk-reject if the bar is new physics or a new derivation.","headline":"The paper's central claim overstates what unitarity alone delivers: Eq. (3) already injects the cross section, so recovering it in Eq. (13) is a normalization check, not a derivation, though the paper has useful pedagogical bits.","tokens_in":12836,"tokens_out":669,"would_cite":false,"duration_ms":7965,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":["81U05","81U20","81P40","81P45"],"pacs":["03.65.Nk","03.65.Ud","03.67.-a"],"model":"deepseek-v4-flash","headline":"Unitarity plus the trace of a density matrix fixes hard-scattering cross sections, without the scattering amplitude or the Lippmann-Schwinger equation, and yields a Sackur-Tetrode entropy for inelastic electron-proton scattering.","keywords":["unitarity","density matrix","hard-sphere scattering","inclusive scattering","Sackur-Tetrode equation","entanglement entropy","optical theorem","quantum information metrics"],"falsifier":"Apply the same unitarity-plus-density-matrix algorithm to an exactly solvable potential, such as a square well or a screened Coulomb (Yukawa) potential at an energy where the true phase shifts are known analytically, and compare the output of Eq. (13) with the standard partial-wave sum computed from those phase shifts; a mismatch at any finite energy would show that unitarity alone does not fix the cross section. A second check: for inclusive $e^- p$ scattering, construct the explicit final-state density matrix from measured momentum distributions and numerically diagonalize it, then compare the resulting von Neumann entropy with the prediction of Eqs. (18)-(19).","tokens_in":11711,"feed_emoji":"⚛️","tokens_out":16502,"duration_ms":117512,"temperature":0.7,"pith_summary":"The paper tries to establish that unitarity — the requirement that a quantum interaction conserve total probability — is enough, together with density-matrix normalization, to compute quantities normally obtained only from a scattering-amplitude calculation. For hard-sphere scattering it derives the total cross section $\\sigma = \\frac{4\\pi}{k^2}\\sum_\\ell (2\\ell+1)\\sin^2\\delta_\\ell$ by requiring the final density matrix to have trace one, without ever writing the scattering amplitude or solving the Lippmann-Schwinger equation with a Green's function. For inelastic electron-proton scattering, $e^- p \\to e^- X$, it derives a Sackur-Tetrode-type momentum entropy for the electron that combines a Shannon entropy for scattering versus not scattering with a term that evokes the uncertainty principle. If these derivations hold, particle physicists could read cross sections and quantum information metrics such as correlations and mutual information directly off unitarity and density matrices.","feed_headline":"Unitarity alone yields scattering cross sections","feed_subtitle":"If true, particle physicists can compute cross sections and entanglement entropies directly from density matrices.","key_machinery":"The load-bearing identity is the area regularization $V/(\\upsilon T) = \\sigma$: the ratio of the divergent volume $V = (2\\pi)^3\\delta^3(0)$ and time $T = 2\\pi\\hbar\\delta(0)$ factors is identified with the total cross section, which is the optical theorem injected as a normalization choice. Because this ratio appears as a common denominator in every matrix element of the expanded final density matrix, imposing $\\mathrm{Tr}(\\rho_f)=1$ turns the divergent normalization into a finite physical cross section. The second piece of machinery is partial-wave unitarity: conservation of orbital angular momentum makes each diagonal element $S_\\ell$ of the S-matrix a phase $e^{2i\\delta_\\ell}$, so the trace condition immediately yields $\\sigma = \\frac{4\\pi}{k^2}\\sum_\\ell(2\\ell+1)\\sin^2\\delta_\\ell$ for hard scattering. For the relativistic inelastic case, the same scatter-or-no-scatter decomposition of the density matrix produces the Shannon-plus-Sackur-Tetrode entropy formula.","core_discovery":"The paper's central claim is that normalization of the final density matrix under unitary evolution contains the scattering physics by itself. Expanding $\\rho_f = S\\rho_i S^\\dagger$ with $S = 1 + iT$, tracing over all final particles, and demanding $\\mathrm{Tr}(\\rho_f)=1$ produces the area regularization $V/(\\upsilon T) = \\sigma$, where $V = (2\\pi)^3\\delta^3(0)$ and $T = 2\\pi\\hbar\\delta(0)$ are the divergent volume and time factors; this is the optical theorem imported as a normalization condition. In the partial-wave basis, unitarity of the conserved angular-momentum channel forces the diagonal S-matrix element to be a phase, $S_\\ell = e^{2i\\delta_\\ell}$, so the trace condition becomes the cross section $\\sigma = \\frac{4\\pi}{k^2}\\sum_\\ell (2\\ell+1)\\sin^2\\delta_\\ell$. The same machinery reproduces the standard partial-wave amplitude $f(k',k) = \\frac{1}{k}\\sum_\\ell(2\\ell+1)e^{i\\delta_\\ell}\\sin\\delta_\\ell P_\\ell(\\cos\\theta)$ and fixes the previously missing phase in the transition-matrix relation to $-1$. For the inelastic process $e^- p \\to e^- X$, the final electron momentum density matrix splits as $\\rho = (1-\\sigma_{\\rm in}/\\sigma_T)\\oplus(\\sigma_{\\rm in}/\\sigma_T)\\rho_k$, giving the momentum entanglement entropy $S_{EE} = -(1-\\sigma_{\\rm in}/\\sigma_T)\\log(1-\\sigma_{\\rm in}/\\sigma_T) - (\\sigma_{\\rm in}/\\sigma_T)\\log(\\sigma_{\\rm in}/\\sigma_T) + (\\sigma_{\\rm in}/\\sigma_T)S_k$, where $S_k$ is the Sackur-Tetrode-type entropy of the scattered electron.","pith_inferences":["Testing the algorithm on an exactly solvable potential with analytic phase shifts would sharpen the claim: the unitarity-plus-density-matrix route must reproduce the known partial-wave cross section with no amplitude input, which is checkable in a dedicated calculation.","The hard-sphere estimates $\\langle \\ell\\rangle \\approx 2kR/3$ and $\\sigma \\approx 2\\pi R^2$ borrow assumptions — $\\ell_{\\max} = kR$ and $\\sin^2\\delta_\\ell = 1/2$ — that unitarity alone never supplies, so the claim of deriving the cross section without input silently carries kinematic modeling choices.","A corollary the authors leave implicit is that the witness rule becomes an audit tool: any scattering-entanglement computation in which a spectator's reduced density matrix changes after its partner's parity-violating interaction is, by this argument, internally inconsistent with unitarity.","The continuous momentum entropy $S_k$ contains a $\\log V$ term, so requiring $V$ to cancel in every expectation value, correlation, and mutual information is a consistency condition the paper asserts but does not demonstrate by explicit calculation; checking it numerically would test the regularization itself."],"forward_implications":["A particle physicist can compute total cross sections for hard scattering by enforcing unitarity on the final density matrix, without first deriving the scattering amplitude or solving the Lippmann-Schwinger equation with a Green's function.","The same algorithm reproduces the standard partial-wave amplitude $f(k',k) = \\frac{1}{k}\\sum_\\ell(2\\ell+1)e^{i\\delta_\\ell}\\sin\\delta_\\ell P_\\ell(\\cos\\theta)$ and fixes the missing phase in the transition-matrix/scattering-amplitude relation to $-1$.","For the inelastic process $e^- p \\to e^- X$, the electron's momentum entanglement entropy splits into a Shannon term for scattering or not scattering plus the Sackur-Tetrode-type momentum entropy $S_k$ of the scattered electron.","Unitarity forces the same von Neumann entanglement entropy generation whether the remaining particles become entangled by a direct interaction or by a measurement (entanglement swapping), and it keeps a witness particle's reduced density matrix unchanged when its entangled partner interacts.","The unregularized volume $V$ cancels in physical observables such as expected momentum, expected helicity, correlations, and mutual information, so the regularization leaves no divergent trace in measurable quantum information metrics."],"supporting_citations":[{"why":"Supplies the standard scattering-amplitude framework (including the Lippmann-Schwinger derivation) that the paper claims to bypass, along with the hard-sphere notation and the missing-phase minus-one benchmark.","marker":"Sakurai and Napolitano (2020)"},{"why":"Provides the general regularized final density matrix in item (iii), the starting point for Sections 3 and 4, and the electron-positron witness entropy analysis.","marker":"Shivashankara and Gogliettino (2024)"},{"why":"Gives the partial-wave identity $\\sigma = (\\pi/k^2)\\sum_\\ell(2\\ell+1)$ used in Eq. (11) and the elastic momentum-entropy formula compared with $S_k$ in Section 4.","marker":"Peschanski and Seki (2019)"},{"why":"Provides Eq. (8.33) for the inclusive differential cross section $d\\sigma_{\\rm in}/d^3k$ that builds the electron density matrix $\\rho_k$ in Section 4.","marker":"Griffiths (1987)"},{"why":"Establishes the witness-particle proof for Compton scattering in item (v), the basis of the unitarity constraint on spectator reduced density matrices.","marker":"Shivashankara (2023)"},{"why":"Supplies the muon-decay helicity entropy used to relax the regularization to finite time, giving the exponential survival probability $e^{-\\Gamma t}$.","marker":"Shivashankara et al. (2024)"},{"why":"Is the Bhabha-scattering example whose density-matrix normalization, the paper argues, violates unitarity and would change the witness's reduced state under parity-violating interactions.","marker":"Blasone et al. (2024)"},{"why":"Is the elastic-scattering density-matrix calculation whose normalization the paper corrects in item (i), motivating the probability-of-no-scattering interpretation.","marker":"Seki et al. (2015)"}],"fun_headline_variants":["Unitarity alone yields cross sections and entropies","Scattering cross sections from unitarity constraints","Unitarity forces quantum information metrics for scattering","Direct cross sections via unitarity normalization"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The derivation collapses if the divergent ratio of volume to velocity-times-time, $V/(\\upsilon T)$, is not accepted as the total cross section $\\sigma$ — a normalization choice that imports the optical theorem by hand.","fun_headline_variants_meta":{"raw":{"variants":["Unitarity alone yields cross sections and entropies","Scattering cross sections from unitarity constraints","Unitarity forces quantum information metrics for scattering","Direct cross sections via unitarity normalization"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000226,"raw_usage":{"total_tokens":1537,"prompt_tokens":1086,"completion_tokens":451,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":702,"completion_tokens_details":{"reasoning_tokens":393}},"tokens_in":702,"tokens_out":451,"duration_ms":4654,"temperature":1.0,"reasoning_tokens":393,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-11T13:56:06.158381+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Apply the same unitarity-plus-density-matrix algorithm to an exactly solvable potential, such as a square well or a screened Coulomb (Yukawa) potential at an energy where the true phase shifts are known analytically, and compare the output of Eq. (13) with the standard partial-wave sum computed from those phase shifts; a mismatch at any finite energy would show that unitarity alone does not fix the cross section. A second check: for inclusive $e^- p$ scattering, construct the explicit final-state density matrix from measured momentum distributions and numerically diagonalize it, then compare the resulting von Neumann entropy with the prediction of Eqs. (18)-(19).","supporting_citations":[{"cited_title":", year 1987","cited_arxiv_id":null,"evidence_quote":"Provides Eq. (8.33) for the inclusive differential cross section $d\\sigma_{\\rm in}/d^3k$ that builds the electron density matrix $\\rho_k$ in Section 4."}],"review_version":1}