pith. machine review for the scientific record. sign in

arxiv: 2605.02436 · v1 · submitted 2026-05-04 · 💱 q-fin.GN · q-fin.RM· q-fin.TR

Recognition: unknown

Deepening the Secondary Market: Integrating Trade Credit into Market Clearing with the Cycles Protocol

Ethan Buchman, Toma\v{z} Fleischman

Pith reviewed 2026-05-08 01:33 UTC · model grok-4.3

classification 💱 q-fin.GN q-fin.RMq-fin.TR
keywords Cycles Protocoltrade creditmultilateral clearingbalance sheet compressionnovationcounterparty risksecondary market liquiditydirected graph
0
0 comments X

The pith

The Cycles Protocol clears obligations multilaterally on existing networks by atomic cycle execution without novation or counterparty risk redistribution.

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

The paper introduces the Cycles Protocol to address the exclusion of trade credit liquidity from formal clearing systems, which currently depend on cash collateral and novation. Cycles represents commitments as edges in a directed graph and clears them through atomic cycle execution based on double-entry accounting. This design avoids redistributing counterparty risk, enabling the protocol to layer onto existing networks and CCPs without altering relations or adding institutional overhead. A sympathetic reader would care because successful integration could bring substantial short-term liquidity from the real economy into settlement and deepen secondary market activity.

Core claim

The Cycles Protocol is a distributed, multilateral clearing mechanism based on double-entry accounting and atomic cycle execution that maximizes balance sheet compression. Unlike novation-based clearing, Cycles does not redistribute counterparty risk; it can thus be applied generally to existing financial networks, without any change in counterparty relations, allowing it to complement existing clearing systems and Central Counterparties (CCPs). By representing commitments as edges on a unified directed graph, Cycles surfaces liquidity hiding within existing network structure and focuses on applications as a compression layer for CCPs and as a way to incorporate trade credit into formal结算.

What carries the argument

The Cycles Protocol, a distributed multilateral clearing system that models obligations as edges on a unified directed graph and clears them via atomic cycle execution while preserving original counterparty relations.

If this is right

  • It can function as a compression layer between existing clearing participants and CCPs.
  • Trade credit liquidity from real-economy networks can enter formal settlement without changes to counterparty structures.
  • Existing financial networks can adopt the protocol generally to surface hidden liquidity.
  • Market clearing extends beyond financial obligations into real-economy financing.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • If distributed execution proves feasible, dependence on cash collateral could decrease through greater netting of non-cash obligations.
  • Real-economy firms might gain indirect access to deeper secondary markets via integrated trade credit clearing.
  • Testing on historical trade credit graphs could reveal whether cycle compression scales without legal friction.

Load-bearing premise

Atomic cycle execution on a unified directed graph can be performed in a distributed manner at scale while preserving the exact existing counterparty relations and without introducing new settlement or legal risks.

What would settle it

A demonstration on a real financial network graph showing that large-scale distributed cycle detection and execution either redistributes counterparty risk, creates new settlement risks, or fails to preserve all original relations.

Figures

Figures reproduced from arXiv: 2605.02436 by Ethan Buchman, Toma\v{z} Fleischman.

Figure 1
Figure 1. Figure 1: Four settlement mechanisms as 3-node cycles in an obligation network. Nodes view at source ↗
Figure 2
Figure 2. Figure 2: Obligation network after executing the settlement cycle in Figure 1. Nodes view at source ↗
Figure 3
Figure 3. Figure 3: Comparing CCP netting with Cycles multilateral setoff as available liquidity increases. LHS: stylized view at source ↗
Figure 4
Figure 4. Figure 4: CCP netting “waterfall” across four funding regimes (panels a–d) in a five-member market. As view at source ↗
Figure 5
Figure 5. Figure 5: Cycles multilateral setoff “waterfall” across four funding regimes (panels a–d) in the same five view at source ↗
Figure 6
Figure 6. Figure 6: A minimal settlement cycle with two non-interoperable CCPs (CCP1, CCP2) and two traders ( view at source ↗
Figure 7
Figure 7. Figure 7: Member - CCP network. Heatmaps depict the number of CCPs members share (top right) and view at source ↗
Figure 8
Figure 8. Figure 8: Integrating CCP settlement silos with a Trade Credit Network (TCN) to mobilize real-economy view at source ↗
Figure 9
Figure 9. Figure 9: Integrated Trade Credit Finance Markets (TCFMs) and the Trade Credit Network (TCN) in view at source ↗
read the original abstract

Current post-trade clearing systems rely almost exclusively on cash or cash-like collateral, leaving vast reserves of short-term liquidity embedded in trade credit outside formal settlement infrastructures. A key barrier to integrating this liquidity is the near-universal dependence of clearing services on novation, which imposes institutional overhead that restricts accessibility and limits the range of obligations that can be brought into settlement. This paper introduces the Cycles Protocol: a distributed, multilateral clearing mechanism based on double-entry accounting and atomic cycle execution that maximizes balance sheet compression. Unlike novation-based clearing, Cycles does not redistribute counterparty risk; it can thus be applied generally to existing financial networks, without any change in counterparty relations, allowing it to complement existing clearing systems and Central Counterparties (CCPs). By representing commitments as edges on a unified directed graph, Cycles surfaces liquidity hiding within existing network structure. We focus here on two applications of Cycles to deepening secondary market liquidity: first, as a compression layer between existing clearing participants and CCPs; and second, as a means to incorporate the liquidity of the trade credit network into formal settlement, extending market clearing beyond financial obligations and into real-economy financing.

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

3 major / 2 minor

Summary. The paper proposes the Cycles Protocol, a distributed multilateral clearing mechanism based on double-entry accounting and atomic cycle execution on a unified directed graph of commitments. It claims this approach achieves balance-sheet compression and integrates trade credit liquidity into formal settlement without the institutional overhead of novation, thereby avoiding redistribution of counterparty risk and preserving exact existing bilateral relations so that the protocol can complement rather than replace CCPs and existing clearing systems.

Significance. If the central claims regarding risk preservation and distributed atomic execution can be formally established and validated, the protocol could meaningfully deepen secondary-market liquidity by mobilizing embedded trade-credit reserves without requiring new collateral or counterparty changes, offering a practical complement to current post-trade infrastructure.

major comments (3)
  1. [Abstract] Abstract: the claim that 'Cycles does not redistribute counterparty risk' and 'can be applied generally to existing financial networks, without any change in counterparty relations' is asserted descriptively but receives no mathematical derivation, formal model, or risk-analysis section demonstrating that atomic cycle execution on the directed graph preserves exact bilateral exposures under distributed execution.
  2. [Protocol description] Protocol description (assumed §3–4): no specification is given of the consensus mechanism, failure model, or atomic-commit protocol that would guarantee (a) no new edges or counterparties are created, (b) no participant incurs additional settlement risk during multi-party execution, and (c) the process scales beyond toy graphs without central coordination.
  3. [Applications] Applications section: the two use-cases (compression layer to CCPs; incorporation of trade-credit network) rest on the unverified assumption that cycle execution can be performed in a fully distributed manner while satisfying the above constraints; no simulation results, complexity analysis, or empirical validation are supplied to support scalability or legal-risk claims.
minor comments (2)
  1. [Abstract] The abstract and introduction would benefit from a short paragraph contrasting the Cycles approach with existing multilateral netting protocols (e.g., those based on graph-theoretic cycle decomposition) to clarify novelty.
  2. [Protocol description] Notation for the directed graph (vertices as participants, directed edges as obligations) is introduced informally; an explicit definition of the edge-weight update rule under cycle execution would improve clarity.

Simulated Author's Rebuttal

3 responses · 1 unresolved

We are grateful to the referee for the thoughtful and detailed comments, which have helped us identify areas where the manuscript can be strengthened. We provide point-by-point responses to the major comments below and indicate the revisions we plan to make.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the claim that 'Cycles does not redistribute counterparty risk' and 'can be applied generally to existing financial networks, without any change in counterparty relations' is asserted descriptively but receives no mathematical derivation, formal model, or risk-analysis section demonstrating that atomic cycle execution on the directed graph preserves exact bilateral exposures under distributed execution.

    Authors: The core property of risk preservation stems from the fact that the protocol operates exclusively on existing directed edges in the commitment graph, executing atomic cycles that mutually offset obligations without introducing new counterparties or altering bilateral net positions. This invariance is a direct consequence of the double-entry accounting and cycle-based cancellation described in the protocol. To make this rigorous, we will add a formal model subsection in the revised manuscript, including a mathematical demonstration that for any participant, the exposure to each specific counterparty remains unchanged post-execution, along with a brief risk-analysis discussion. revision: yes

  2. Referee: [Protocol description] Protocol description (assumed §3–4): no specification is given of the consensus mechanism, failure model, or atomic-commit protocol that would guarantee (a) no new edges or counterparties are created, (b) no participant incurs additional settlement risk during multi-party execution, and (c) the process scales beyond toy graphs without central coordination.

    Authors: We clarify that the Cycles Protocol defines the clearing logic at the application level and relies on an underlying atomic transaction mechanism to ensure the listed guarantees. Property (a) is ensured by construction since only existing edges are modified. For (b) and (c), we assume a reliable atomic commit protocol (such as those used in distributed databases or permissioned ledgers) that prevents partial executions. We will revise the protocol description section to explicitly outline these assumptions, discuss relevant failure models (e.g., crash failures vs. Byzantine), and provide a high-level complexity analysis showing that cycle finding is efficient for sparse financial graphs, scaling to networks with thousands of nodes using standard algorithms. revision: yes

  3. Referee: [Applications] Applications section: the two use-cases (compression layer to CCPs; incorporation of trade-credit network) rest on the unverified assumption that cycle execution can be performed in a fully distributed manner while satisfying the above constraints; no simulation results, complexity analysis, or empirical validation are supplied to support scalability or legal-risk claims.

    Authors: The applications are presented as conceptual extensions of the protocol rather than fully validated implementations. We will incorporate a complexity analysis for the cycle detection and execution steps to address scalability. Regarding empirical validation and legal-risk claims, these would indeed benefit from simulations and case studies; however, as the current work focuses on introducing the protocol and its theoretical integration with existing systems, we will note the need for such validation in future work and add a brief discussion of potential legal considerations based on the preservation of existing relations. revision: partial

standing simulated objections not resolved
  • Comprehensive simulation results, empirical validation for scalability, and detailed legal-risk assessments, which are not available in the current manuscript and would require substantial additional research.

Circularity Check

0 steps flagged

No circularity: new protocol construction with independent design claims

full rationale

The paper introduces the Cycles Protocol as a graph-based multilateral clearing mechanism using double-entry accounting and atomic cycle execution. The central claim (no redistribution of counterparty risk, applicability to existing networks without altering relations) follows directly from the stated design choice of avoiding novation, rather than from any fitted parameters, self-referential equations, or load-bearing self-citations. No derivations reduce outputs to inputs by construction; the proposal is presented as a new construction whose properties are asserted from its mechanics. This is the expected non-circular outcome for a protocol paper.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 1 invented entities

The proposal rests on standard accounting and graph concepts plus the new protocol itself; no fitted parameters or invented physical entities are described.

axioms (2)
  • standard math Double-entry accounting rules hold for all represented obligations
    Invoked as the foundation for representing commitments as directed edges.
  • domain assumption Atomic execution of cycles is feasible in a distributed network
    Required for the clearing mechanism to function without partial settlements.
invented entities (1)
  • Cycles Protocol no independent evidence
    purpose: Multilateral clearing via atomic cycle execution on obligation graphs without novation
    Newly introduced clearing mechanism that is the central contribution.

pith-pipeline@v0.9.0 · 5510 in / 1356 out tokens · 39974 ms · 2026-05-08T01:33:19.771056+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

38 extracted references · 2 canonical work pages

  1. [1]

    Anderson and Karin J˜ oeveer

    Ronald W. Anderson and Karin J˜ oeveer. The economics of collateral. Technical report, Systemic Risk Centre, The London School of Economics and Political Science, London, UK,

  2. [2]

    Discussion Paper Series

  3. [3]

    The welfare effects of a liquidity-saving mechanism

    Enghin Atalay, Antoine Martin, and James McAndrews. The welfare effects of a liquidity-saving mechanism. Staff Report 354, Federal Reserve Bank of New York, 2008

    2008

  4. [4]

    Emergence of scaling in random networks.Science, 286(5439):509–512, 1999

    Albert-L´ aszl´ o Barab´ asi and R´ eka Albert. Emergence of scaling in random networks.Science, 286(5439):509–512, 1999

    1999

  5. [5]

    Trade credit and industry dynamics: Evidence from trucking firms.The Journal of Finance, 71(5):1975–2016, 2016

    Jean-Noel Barrot. Trade credit and industry dynamics: Evidence from trucking firms.The Journal of Finance, 71(5):1975–2016, 2016

    1975

  6. [6]

    The economics of distributed ledger technology for securities settlement.Ledger, 4, 2019

    Evangelos Benos, Rodney Garratt, and Pedro Gurrola-Perez. The economics of distributed ledger technology for securities settlement.Ledger, 4, 2019

    2019

  7. [7]

    The cost of clearing fragmentation.Management Science, 70(6):3581–3596, 2024

    Evangelos Benos, Wenqian Huang, Albert Menkveld, and Michalis Vasios. The cost of clearing fragmentation.Management Science, 70(6):3581–3596, 2024

    2024

  8. [8]

    The macroeconomics of trade credit

    Luigi Bocola and Gideon Bornstein. The macroeconomics of trade credit. Technical report, National Bureau of Economic Research, 2023. 27

    2023

  9. [9]

    Trade credit, trade finance, and the covid-19 crisis.Trade Finance, and the COVID-19 Crisis (June 19, 2020), 2020

    Fr´ ed´ eric Boissay, Nikhil Patel, and Hyun Song Shin. Trade credit, trade finance, and the covid-19 crisis.Trade Finance, and the COVID-19 Crisis (June 19, 2020), 2020

    2020

  10. [10]

    Fostering markets for sme finance.OECD SME and Entrepreneurship Papers, 2017

    Kris Boschmans and Lora Pissareva. Fostering markets for sme finance.OECD SME and Entrepreneurship Papers, 2017

    2017

  11. [11]

    Cycles protocol: A peer-to-peer electronic clearing system.arXiv preprint arXiv:2507.22309, 2025

    Ethan Buchman, Paolo Dini, Shoaib Ahmed, Andrew Miller, and Tomaˇ z Fleischman. Cycles protocol: A peer-to-peer electronic clearing system.arXiv preprint arXiv:2507.22309, 2025

    work page arXiv 2025

  12. [12]

    Mercado de facturas en la bolsa de productos de chile

    Juan Manuel Carmona Torres, Diego Galleguillos Sandoval, and Diego Mart´ ınez Aracena. Mercado de facturas en la bolsa de productos de chile. Technical report, Universidad de Chile, 2010

    2010

  13. [13]

    Money and hierarchy: Four ways to discharge a payment obligation.Available at SSRN 4032398, 2022

    Borja Clavero. Money and hierarchy: Four ways to discharge a payment obligation.Available at SSRN 4032398, 2022

    2022

  14. [14]

    Cmf issues regulations that simplify the registration of invoices for trading on commodity exchanges

    Comisi´ on para el Mercado Financiero (CMF Chile). Cmf issues regulations that simplify the registration of invoices for trading on commodity exchanges. Press release / website, January

  15. [15]

    429 (January 7, 2019; accessed September 29, 2025)

    General Regulation No. 429 (January 7, 2019; accessed September 29, 2025). Available at:https://www.cmfchile.cl/portal/principal/613/w3-article-26959.html

    2019

  16. [16]

    Compressing over-the-counter markets.Operations Research, 69(6):1660–1679, 2021

    Marco D’Errico and Tarik Roukny. Compressing over-the-counter markets.Operations Research, 69(6):1660–1679, 2021

    2021

  17. [17]

    Neutral settlement layer for interoperability between different forms of local monetary and financial expression.International Journal of Community Currency Research, 29, 2025

    Paolo Dini and Tomaˇ z Fleischman. Neutral settlement layer for interoperability between different forms of local monetary and financial expression.International Journal of Community Currency Research, 29, 2025

    2025

  18. [18]

    Does a central clearing counterparty reduce counterparty risk?The Review of Asset Pricing Studies, 1(1):74–95, 2011

    Darrell Duffie and Haoxiang Zhu. Does a central clearing counterparty reduce counterparty risk?The Review of Asset Pricing Studies, 1(1):74–95, 2011

    2011

  19. [19]

    Visualising stock flow consistent models as directed acyclic graphs.arXiv preprint arXiv:1409.4541, 2014

    Peter G Fennell, David O’Sullivan, Antoine Godin, and Stephen Kinsella. Visualising stock flow consistent models as directed acyclic graphs.arXiv preprint arXiv:1409.4541, 2014

    work page arXiv 2014

  20. [20]

    Mathematical foundations for balancing the payment system in the trade credit market.Journal of Risk and Financial Management, 14(9):452, 2021

    Tomaˇ z Fleischman and Paolo Dini. Mathematical foundations for balancing the payment system in the trade credit market.Journal of Risk and Financial Management, 14(9):452, 2021

    2021

  21. [21]

    Liquidity-saving through obligation- clearing and mutual credit: An effective monetary innovation for SMEs in times of crisis

    Tomaˇ z Fleischman, Paolo Dini, and Giuseppe Littera. Liquidity-saving through obligation- clearing and mutual credit: An effective monetary innovation for SMEs in times of crisis. Journal of Risk and Financial Management, 13(12):295, 2020

    2020

  22. [22]

    The economics of netting in financial networks.Journal of Economic Interaction and Coordination, 14(3):595–622, 2019

    Edoardo Gaffeo, Lucio Gobbi, and Massimo Molinari. The economics of netting in financial networks.Journal of Economic Interaction and Coordination, 14(3):595–622, 2019

    2019

  23. [23]

    Liquidity-saving mechanisms and bank behaviour

    Marco Galbiati and Kimmo Soram¨ aki. Liquidity-saving mechanisms and bank behaviour. Technical Report Working Paper No. 400, Bank of England Working Papers, 2010

    2010

  24. [24]

    Central counterparty interoperability.RBA Bulletin, June, pages 59–68, 2012

    Nicholas Garvin. Central counterparty interoperability.RBA Bulletin, June, pages 59–68, 2012

    2012

  25. [25]

    Variation margin settlement whitepaper

    International Swaps and Derivatives Association (ISDA). Variation margin settlement whitepaper. Whitepaper / website, January 2017. Accessed March 12, 2026. Available at: https://www.isda.org/a/sgiDE/isda-vm-settlement-whitepaper-final.pdf. 28

    2017

  26. [26]

    Trade creditors’ information advantage

    Victoria Ivashina and Benjamin Iverson. Trade creditors’ information advantage. Technical report, National Bureau of Economic Research, 2018

    2018

  27. [27]

    Liquidity-saving mechanisms in collateral-based rtgs payment systems

    Marius Jurgilas and Antoine Martin. Liquidity-saving mechanisms in collateral-based rtgs payment systems. Technical Report Working Paper No. 389, Bank of England / Federal Reserve Bank of New York, 2010

    2010

  28. [28]

    King, Travis D

    Thomas B. King, Travis D. Nesmith, Anna Paulson, and Todd Prono. Central clearing and systemic liquidity risk.International Journal of Central Banking, 19(4):85–142, 2023

    2023

  29. [29]

    The evolution of trade credit: New evidence from developed versus developing countries.Review of Quantitative Finance and Accounting, 59(3):857–912, 2022

    Michael Machokoto, Daniel Gyimah, and Boulis Maher Ibrahim. The evolution of trade credit: New evidence from developed versus developing countries.Review of Quantitative Finance and Accounting, 59(3):857–912, 2022

    2022

  30. [30]

    Central counterparty anti-procyclicality tools: a closer assessment.Journal of Financial Market Infrastructures, 7(4):1–25, 2019

    Atsushi Maruyama and Fernando Cerezetti. Central counterparty anti-procyclicality tools: a closer assessment.Journal of Financial Market Infrastructures, 7(4):1–25, 2019

    2019

  31. [31]

    Federal Reserve Bank of Chicago, 1994

    Dorothy M Nichols.Modern money mechanics. Federal Reserve Bank of Chicago, 1994. Originally published 1961

    1994

  32. [32]

    Decentralised clearing? an assessment of the impact of dlts on ccps.Journal of Securities Operations & Custody, 16(3):227–246, 2024

    Rafael Plata, Max Chan, and Fernando Cerezetti. Decentralised clearing? an assessment of the impact of dlts on ccps.Journal of Securities Operations & Custody, 16(3):227–246, 2024

    2024

  33. [33]

    Central clearing: Risks and customer protections.Economic Perspectives, 39(4):1–11, 2015

    Ivana Ruffini et al. Central clearing: Risks and customer protections.Economic Perspectives, 39(4):1–11, 2015

    2015

  34. [34]

    Deleveraging of indebtedness in an economy through non-monetary intervention, 2018

    Tomaˇ z Schara and Rudi Bric. Deleveraging of indebtedness in an economy through non-monetary intervention, 2018. Working paper / report

    2018

  35. [35]

    Trade credit and stock liquidity.Journal of Corporate Finance, 62:101586, 2020

    Chenguang Shang. Trade credit and stock liquidity.Journal of Corporate Finance, 62:101586, 2020

    2020

  36. [36]

    Systemic risk in markets with multiple central counterparties.Mathematical Finance, 35(1):214–262, 2025

    Luitgard Anna Maria Veraart and I˜ naki Aldasoro. Systemic risk in markets with multiple central counterparties.Mathematical Finance, 35(1):214–262, 2025

    2025

  37. [37]

    Central counterparties: Addressing their too important to fail nature

    Froukelien Wendt. Central counterparties: Addressing their too important to fail nature. IMF Working Paper WP/15/21, International Monetary Fund, 2015

    2015

  38. [38]

    race to the bottom

    Siyi Zhu et al. Is there a “race to the bottom” in central counterparties competition? Technical report, Netherlands Central Bank, Research Department, 2011. 29

    2011