pith. sign in

arxiv: 2602.14614 · v2 · submitted 2026-02-16 · 🧮 math.SG · math.DS

Comments on Symplectic bipotentials arXiv:2410.23122

Marius Buliga This is my paper

Pith reviewed 2026-05-15 22:01 UTC · model grok-4.3

classification 🧮 math.SG math.DS
keywords symplectic bipotentialsprior artmathematical mechanicsdissipative systemscitationssymplectic geometry
0
0 comments X

The pith

Most of the 2024 paper on symplectic bipotentials repeats material from earlier studies.

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

The paper presents evidence that the definitions and properties of symplectic bipotentials introduced in a 2024 article were already covered in previous works from 2008, 2019, and 2023. These earlier papers introduced and studied the same concepts, sometimes with partial citations. A reader might care because accurate citation practices ensure proper credit in mathematical research on mechanics and dissipative systems. The comment applies to both the journal version and a conference paper version.

Core claim

The central claim is that most of the content of the article on Symplectic bipotentials is already covered in previous works, partially cited like arXiv:0810.1419, or uncited like arXiv:1902.04598 and arXiv:2304.14158, which already introduced and studied symplectic bipotentials.

What carries the argument

Symplectic bipotentials as a mathematical tool for modeling dynamics of dissipative systems with non-associated constitutive laws, with the argument resting on direct comparison of definitions and properties across papers.

If this is right

  • The 2024 paper does not introduce new foundational material on symplectic bipotentials.
  • Proper citation of prior art is needed to establish true novelty in this area of symplectic geometry and mechanics.
  • The conference version of the paper is also subject to the same critique regarding originality.

Where Pith is reading between the lines

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

  • This comment highlights the importance of thorough literature searches in applied mathematics to avoid redundant publications.
  • Future work on symplectic bipotentials should build explicitly on the cited earlier references rather than reintroducing them.
  • It raises questions about how such overlaps occur in peer-reviewed publications on geometric methods in mechanics.

Load-bearing premise

The definitions, properties, and applications in the prior works substantially overlap with those in the 2024 paper.

What would settle it

Examination of the cited prior papers showing they do not contain the same definitions or applications of symplectic bipotentials would falsify the claim.

read the original abstract

This is a reaction to the article Symplectic bipotentials, in published form [2] Harakeh M, Ban M, de Saxce G. Symplectic bipotentials. Mathematics and Mechanics of Solids. 2026;0(0) doi:10.1177/10812865251413554, and in preprint form [1] arXiv:2410.23122v1. We give evidence that most of the content of the article [2] is already covered in previous works, partially cited like [7] arXiv:0810.1419 [math.FA], or uncited, like [10] arXiv:1902.04598 [math-ph], [3] arXiv:2304.14158 [math-ph], which already introduced and studied symplectic bipotentials. These comments also apply to the conference paper version of [1] arXiv:2410.23122v1, namely to the article Harakeh, M., Ban, M., de Saxce, G. (2026). Symplectic Bipotentials for the Dynamics of Dissipative Systems with Non Associated Constitutive Laws. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2025. Lecture Notes in Computer Science, vol 16034. Springer, Cham. doi:10.1007/978-3-032-03921-7_31 .

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 / 0 minor

Summary. The manuscript is a comment paper asserting that most of the content of the 2024 preprint arXiv:2410.23122 (and its published and conference versions) on symplectic bipotentials—including their introduction, variational properties, and applications to dissipative systems with non-associated laws—is already covered in earlier works such as arXiv:0810.1419 [math.FA], arXiv:1902.04598 [math-ph], and arXiv:2304.14158 [math-ph].

Significance. If the priority claim holds with explicit verification, the comment would usefully correct the record on the introduction of symplectic bipotentials in symplectic geometry and mechanics. The manuscript correctly flags the need to acknowledge prior contributions, but its current form supplies only bibliographic pointers rather than detailed comparisons, which reduces its immediate utility for readers.

major comments (2)
  1. Abstract: the central assertion that 'most of the content' of arXiv:2410.23122 is already covered lacks any theorem-by-theorem, definition-by-definition, or proposition-by-proposition mapping to the cited prior works (e.g., the specific statements on symplectic bipotentials in arXiv:0810.1419 or arXiv:1902.04598). Without such side-by-side verification, the extent of overlap cannot be assessed.
  2. Abstract: the manuscript cites arXiv:0810.1419, arXiv:1902.04598, and arXiv:2304.14158 as having 'already introduced and studied symplectic bipotentials' but provides no quotations, restated theorems, or cross-references showing that the variational properties and dissipative-system applications in the target paper coincide (up to notation) with results already proved in those references.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments. We agree that the manuscript would benefit from more explicit mappings and cross-references to demonstrate the claimed overlap, and we will revise accordingly to improve its utility for readers.

read point-by-point responses

  1. Referee: Abstract: the central assertion that 'most of the content' of arXiv:2410.23122 is already covered lacks any theorem-by-theorem, definition-by-definition, or proposition-by-proposition mapping to the cited prior works (e.g., the specific statements on symplectic bipotentials in arXiv:0810.1419 or arXiv:1902.04598). Without such side-by-side verification, the extent of overlap cannot be assessed.

    Authors: We accept the point and will add a new comparative section (or table) in the revised manuscript. This will explicitly map key definitions, theorems, and propositions from arXiv:2410.23122—such as the introduction of symplectic bipotentials, their variational properties, and applications to dissipative systems with non-associated laws—to the corresponding statements in arXiv:0810.1419, arXiv:1902.04598, and arXiv:2304.14158, including specific theorem numbers and page references for side-by-side verification. revision: yes

  2. Referee: Abstract: the manuscript cites arXiv:0810.1419, arXiv:1902.04598, and arXiv:2304.14158 as having 'already introduced and studied symplectic bipotentials' but provides no quotations, restated theorems, or cross-references showing that the variational properties and dissipative-system applications in the target paper coincide (up to notation) with results already proved in those references.

    Authors: We will revise the text to include direct quotations and restated theorems from the cited prior works. Cross-references will be inserted to show that the variational properties and dissipative-system applications coincide (up to notation) with results already established in arXiv:0810.1419, arXiv:1902.04598, and arXiv:2304.14158. This will make the priority argument more transparent. revision: yes

Circularity Check

0 steps flagged

No circularity in bibliographic priority argument

full rationale

The manuscript is a commentary paper whose central claim rests entirely on citations to independent prior publications (arXiv:0810.1419, arXiv:1902.04598, arXiv:2304.14158) that predate the target work. No mathematical derivation, first-principles result, fitted parameter, or self-definitional step is present; the reasoning chain consists solely of external bibliographic references and does not reduce any claim to the paper's own inputs by construction. This satisfies the criteria for zero circularity.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

This is a comment paper with no new derivations, so the ledger contains no free parameters, axioms, or invented entities.

pith-pipeline@v0.9.0 · 5568 in / 1007 out tokens · 22565 ms · 2026-05-15T22:01:55.374550+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

13 extracted references · 13 canonical work pages · 4 internal anchors

  1. [2]

    Harakeh, M

    M. Harakeh, M. Ban, G. de Saxc´ e, Symplectic bipotentials.Mathematics and Mechanics of Solids. 2026;0(0). doi:10.1177/10812865251413554

    work page doi:10.1177/10812865251413554 2026

  2. [3]

    Buliga, Dissipation and the information content of the deviation from hamil- tonian dynamics,Ann

    M. Buliga, Dissipation and the information content of the deviation from hamil- tonian dynamics,Ann. Acad. Rom. Sci. Ser. Math. Appl15, 1-2 (2023), 366-382, arXiv:2304.14158

    work page arXiv 2023

  3. [4]

    Buliga, Comments on Symplectic bipotentials arXiv:2410.23122v1, Nov 2, 2024 chorasimilarity.wordpress.com/2024/11/02/comments-on-symplectic-bipotentials- arxiv2410-23122v1/

    M. Buliga, Comments on Symplectic bipotentials arXiv:2410.23122v1, Nov 2, 2024 chorasimilarity.wordpress.com/2024/11/02/comments-on-symplectic-bipotentials- arxiv2410-23122v1/

    work page arXiv 2024

  4. [5]

    M. Buliga, Verification of Attribution Claims in Symplectic Bipotentials Framework, Feb 6, 2026 chorasimilarity.wordpress.com/2026/02/06/verification-of-attribution-claims-in- symplectic-bipotentials-framework/

    work page 2026

  5. [6]

    Brezis and I

    H. Brezis and I. Ekeland, Un principe variationnel associ´ e ` a certaines ´ equations paraboliques. I. Le cas ind´ ependant du temps, II. Le cas d´ ependant du temps.C. R. Acad. Sci. Paris S´ erie A-B, 282, 971-974, and 1197-1198, 1976

    work page 1976

  6. [7]

    Hamiltonian inclusions with convex dissipation with a view towards applications

    M. Buliga, Hamiltonian inclusions with convex dissipation with a view towards applica- tions,Mathematics and its Applications1, 2 (2009), 228-251, arXiv:0810.1419

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  7. [8]

    A symplectic Brezis-Ekeland-Nayroles principle

    M. Buliga, G. de Saxc´ e, A symplectic Brezis-Ekeland-Nayroles principle,Mathematics and Mechanics of Solids22, 6, (2017), arXiv:1408.3102 9

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  8. [9]

    A stochastic version and a Liouville theorem for hamiltonian inclusions with convex dissipation

    M. Buliga, A stochastic version and a Liouville theorem for hamiltonian inclusions with convex dissipation, arXiv:1807.10480

    work page internal anchor Pith review Pith/arXiv arXiv

  9. [10]

    On the information content of the difference from hamiltonian evolution

    M. Buliga, On the information content of the difference from hamiltonian evolution, arXiv:1902.04598

    work page internal anchor Pith review Pith/arXiv arXiv 1902

  10. [11]

    Buliga, G

    M. Buliga, G. de Saxc´ e, C. Vall´ ee, Blurred maximal cyclically monotone sets and bipo- tentials , Analysis and Applications 8 (2010), no. 4, 1-14

    work page 2010

  11. [12]

    Patrick Laborde, Yves Renard, Fixed point strategies for elastostatic frictional contact problems, Mathematical Methods in the Applied Sciences, (2008), 31, 415-441

    work page 2008

  12. [13]

    Nayroles, Deux th´ eor` emes de minimum pour certains syst` emes dissipatifs,C

    B. Nayroles, Deux th´ eor` emes de minimum pour certains syst` emes dissipatifs,C. R. Acad. Sci. Paris S´ erie A-B, 282, A1035-A1038, 1976

    work page 1976

  13. [14]

    Harakeh, M., Ban, M., de Saxce, G. (2026). Symplectic Bipotentials for the Dynamics of Dissipative Systems with Non Associated Constitutive Laws. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2025. Lecture Notes in Computer Science, vol 16034. Springer, Cham. doi:10.1007/978-3-032-03921-7 31 10

    work page doi:10.1007/978-3-032-03921-7 2026