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arxiv: 2606.31188 · v1 · pith:UGLQVF6Lnew · submitted 2026-06-30 · ⚛️ physics.soc-ph · econ.GN· q-fin.EC

Social Statements: A Proposal for a Social-Value Balance Sheet and Profit-Loss Statement

Takeshi Kato , Yoshinori Hiroi , Sae Horiguchi , Tetsushi Koike , Shingo Hashimoto This is my paper

Pith reviewed 2026-07-01 03:09 UTC · model grok-4.3

classification ⚛️ physics.soc-ph econ.GNq-fin.EC
keywords social statementssocial valuebalance sheetprofit-loss statementstakeholder relationshipssocial impact measurementcorporate decision-makingmanagerial indicators
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The pith

Firms can represent social value by assigning numerical indicators of stakeholder relationships to the line items of balance sheets and profit-loss statements.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper proposes creating social statements that parallel conventional financial statements but track social value instead. It grounds this in the view that social value arises from relationships, joint actions, and communication with external stakeholders. Numerical indicators of those relationships are then mapped directly onto standard accounting formats. This produces unified units that support familiar calculations such as equity ratios and profit margins. The result is a reporting system that lets firms treat social performance as a manageable input to decisions in the same way they treat financial performance.

Core claim

The central claim is that social statements, formed by placing numerical indicators of a firm's social relationships with external stakeholders into the structure of a balance sheet and a profit-loss statement, represent social value in a form that permits unified measurement, simplified calculation, and the application of standard managerial indicators such as equity ratios and profit margins.

What carries the argument

Social statements, which are balance sheets and profit-loss statements populated with numerical indicators of social relationships with external stakeholders.

Load-bearing premise

Social value can be captured by numerical indicators derived from a firm's relationships with external stakeholders.

What would settle it

Observe whether firms that prepare and act on social statements produce measurable differences in stakeholder relationship quality or social outcomes compared with matched firms that continue using only financial statements.

Figures

Figures reproduced from arXiv: 2606.31188 by Sae Horiguchi, Shingo Hashimoto, Takeshi Kato, Tetsushi Koike, Yoshinori Hiroi.

Figure 1
Figure 1. Figure 1: Network Graph Based on the B/S Adjacency Matrix [PITH_FULL_IMAGE:figures/full_fig_p008_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Network Graph Based on the P/L Adjacency Matrix [PITH_FULL_IMAGE:figures/full_fig_p010_2.png] view at source ↗
read the original abstract

This study proposes a new set of a firm's "social statements" that represent social value, in contrast to conventional financial statements that represent economic value. Financial statements externalize social and environmental costs, and this externalization is one of the primary causes of contemporary social problems. Insights from anthropology, philosophy, and sociology suggest that social value is grounded in social relationships, joint actions, and communication. Building on this understanding, we assign numerical indicators of a firm's social relationships with external stakeholders to the items of a balance sheet and a profit-loss statement as social statements. This approach enables unified measurement units and simplified calculation compared with existing methods for evaluating social impact or social value. Moreover, similar to financial statements, social statements allow firms to be assessed using managerial indicators such as equity ratios and profit margins. The significance of social statements lies in incorporating social value--alongside financial value--into corporate decision-making, and in encouraging social transformation as firms publicly articulate their social value.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The paper proposes a new framework of 'social statements' for firms, analogous to financial balance sheets and profit-loss statements, by assigning numerical indicators of social relationships with stakeholders to accounting line items. This is motivated by insights from anthropology, philosophy, and sociology that social value is grounded in relationships, joint actions, and communication. The proposal claims to enable unified measurement units, simplified calculations compared to existing social impact methods, and the use of managerial indicators like equity ratios and profit margins to assess firms' social value.

Significance. If the mapping from social relationships to additive accounting quantities can be rigorously justified and operationalized, this could provide a structured way to integrate social value into corporate decision-making alongside financial metrics, potentially encouraging firms to articulate and improve their social impacts publicly. The conceptual nature offers a novel perspective, but the absence of worked examples or validation limits immediate applicability.

major comments (2)
  1. [Abstract] Abstract: The assertion that insights from anthropology, philosophy, and sociology 'suggest that social value is grounded in social relationships' directly entails the possibility of assigning numerical indicators to balance-sheet and P&L items such that they satisfy accounting identities (e.g., social assets = social liabilities + social equity) and yield interpretable ratios is not supported by any argument or derivation in the manuscript; the premise does not specify why relational concepts produce additive, balancing quantities rather than, for example, network or narrative representations.
  2. [Abstract] Abstract: The claim of 'unified measurement units and simplified calculation compared with existing methods' lacks any demonstration or example showing how the proposed indicators achieve this, making the central advantage over existing social-impact evaluation methods unsupported.
minor comments (1)
  1. The manuscript would benefit from including at least one concrete worked example of constructing a social balance sheet and P&L statement for a hypothetical firm to illustrate the assignment of indicators.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments. We respond to each major comment below and will revise the manuscript accordingly.

read point-by-point responses

  1. Referee: [Abstract] Abstract: The assertion that insights from anthropology, philosophy, and sociology 'suggest that social value is grounded in social relationships' directly entails the possibility of assigning numerical indicators to balance-sheet and P&L items such that they satisfy accounting identities (e.g., social assets = social liabilities + social equity) and yield interpretable ratios is not supported by any argument or derivation in the manuscript; the premise does not specify why relational concepts produce additive, balancing quantities rather than, for example, network or narrative representations.

    Authors: The manuscript presents a conceptual proposal that builds on the cited disciplinary insights by choosing an accounting representation for its compatibility with corporate reporting practices. We agree that the current text does not supply an explicit derivation showing why relational indicators must take additive, balancing form rather than network or narrative alternatives. In revision we will add a short section clarifying the rationale: the accounting structure is selected because it permits direct use of established managerial ratios and integration alongside financial statements, while still allowing numerical assignment of relational indicators. revision: yes

  2. Referee: [Abstract] Abstract: The claim of 'unified measurement units and simplified calculation compared with existing methods' lacks any demonstration or example showing how the proposed indicators achieve this, making the central advantage over existing social-impact evaluation methods unsupported.

    Authors: The claimed advantage is conceptual, resting on the assignment of all indicators to standard line items that share a common numerical scale and reuse existing accounting identities. We accept that the manuscript provides no worked examples to illustrate the simplification. The revised version will include concrete examples (e.g., construction of a social equity ratio and a social profit margin) and a brief comparison with methods such as SROI to demonstrate the claimed unification and simplification. revision: yes

Circularity Check

0 steps flagged

No equations or derivations; proposal asserts mapping without reducing to inputs by construction

full rationale

The manuscript is a conceptual proposal that starts from anthropological/philosophical/sociological premises about social value and then asserts that numerical indicators of relationships can be assigned to balance-sheet and P&L line items. No equations, parameters, or derivations appear anywhere in the text. The claimed properties (unified units, accounting identities, interpretable ratios) are presented as consequences of the assignment rather than derived from prior steps that would make them tautological. No self-citations, fitted inputs, or uniqueness theorems are invoked. The structure is therefore self-contained as a suggestion rather than a closed definitional loop.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The proposal rests on the domain assumption that social value can be represented numerically via social relationships; no free parameters or invented entities are introduced in the abstract.

axioms (1)
  • domain assumption Social value is grounded in social relationships, joint actions, and communication.
    Invoked in the abstract as the foundation for assigning numerical indicators to accounting items.

pith-pipeline@v0.9.1-grok · 5717 in / 1286 out tokens · 47008 ms · 2026-07-01T03:09:31.350280+00:00 · methodology

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Reference graph

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