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Paper Citation Record · LEDGER

Arithmetic selection rules in dispersionless Hamiltonian systems

As of 13 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2608.11179.

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pith.paper-citation-record.v1
2608.11179 v1

Coverage vector

measured 51 of 51 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T04:52:12.145571Z

measured 51 of 51 standing notices

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Reference resolution

51 of 51 outbound references displayed

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Outbound references

Observation e47d16b7-d09d-4ee9-9787-aaf377fce532 · outbound

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Arithmetic selection rules in dispersionless Hamiltonian systems Unresolved cited work

Reference 1

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Arithmetic selection rules in dispersionless Hamiltonian systems Unresolved cited work

Reference 2

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Observation c3dcc91d-8331-4c84-9c8f-4c5834beebc3 · outbound

This paper cites Introduction to classical and quantum integrability.

Arithmetic selection rules in dispersionless Hamiltonian systems Introduction to classical and quantum integrability

Reference 3

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Observation bafdf488-21f1-4661-8202-16406ecc8793 · outbound

This paper cites Modave Lectures on Classical Integrability in $2d$ Field Theories.

Arithmetic selection rules in dispersionless Hamiltonian systems Modave Lectures on Classical Integrability in $2d$ Field Theories

Reference 4

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Observation 4f75721b-922e-4f2c-a4b0-901513dda63f · outbound

This paper cites Hamiltonian structures for systems of hyperbolic conservation laws,.

Arithmetic selection rules in dispersionless Hamiltonian systems Hamiltonian structures for systems of hyperbolic conservation laws,

Reference 5

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Observation 58483b2d-c119-4aec-b6ea-fa951f222881 · outbound

This paper cites Hamiltonian formalism of one-dimensional systems of hydrodynamic type, and the Bogolyubov-Whitman averaging method,.

Arithmetic selection rules in dispersionless Hamiltonian systems Hamiltonian formalism of one-dimensional systems of hydrodynamic type, and the Bogolyubov-Whitman averaging method,

Reference 6

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Observation 28bbfac8-1828-4dd6-bf67-764125fc45e8 · outbound

This paper cites Integrability properties of Motzkin polynomials.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrability properties of Motzkin polynomials

Reference 7

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Observation 119f4f83-b483-46df-84fd-c3f5c18d2d33 · outbound

This paper cites Liouville integrable binomial Hamiltonian system.

Arithmetic selection rules in dispersionless Hamiltonian systems Liouville integrable binomial Hamiltonian system

Reference 8

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Observation 054c4b7e-75f0-47e4-b5e1-000dc7503ac3 · outbound

This paper cites An exact solution for a derivative nonlinear Schr¨ odinger equation,.

Arithmetic selection rules in dispersionless Hamiltonian systems An exact solution for a derivative nonlinear Schr¨ odinger equation,

Reference 9

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source=pdf_text observed=2026-08-12T04:52:12.038158Z digest=sha256:183477ffeb06e6db0a65f783b19eb06976fcd7d65d87627f1c2d58975d89ab6a

Observation c893deef-195c-4614-a4d4-96c3f453afd9 · outbound

This paper cites Encyclopedia of integrable systems,.

Arithmetic selection rules in dispersionless Hamiltonian systems Encyclopedia of integrable systems,

Reference 10

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Observation 10c6eb8f-42f8-4b68-b125-1f1d721b61cb · outbound

This paper cites Nonlinear differential difference equations as Backlund transformations,.

Arithmetic selection rules in dispersionless Hamiltonian systems Nonlinear differential difference equations as Backlund transformations,

Reference 11

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source=pdf_text observed=2026-08-12T04:52:12.043340Z digest=sha256:8de1b9a5e790d3251b38a84d438a2fb39bbc4d54dfe0cb73a4ea4fb0632cce2a

Observation 07761b32-3d25-4903-bd68-0a77caee59af · outbound

This paper cites The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems,.

Arithmetic selection rules in dispersionless Hamiltonian systems The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems,

Reference 12

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Observation ec2f4f75-534a-4591-89d9-fe5cb65d21f0 · outbound

This paper cites Gauge transformations of constrained KP flows: New integrable hierarchies,.

Arithmetic selection rules in dispersionless Hamiltonian systems Gauge transformations of constrained KP flows: New integrable hierarchies,

Reference 13

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Observation a3d839cd-b0d1-46e3-935d-dea327bdd2b7 · outbound

This paper cites A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations,.

Arithmetic selection rules in dispersionless Hamiltonian systems A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations,

Reference 14

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Observation dce92810-9a90-4692-9399-f4270969a8af · outbound

This paper cites A systematic literature review of Burgers’ equation with recent advances,.

Arithmetic selection rules in dispersionless Hamiltonian systems A systematic literature review of Burgers’ equation with recent advances,

Reference 15

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Observation ade1ebdb-6218-4372-bcc5-3be00af9c19a · outbound

This paper cites Progresses on Some Open Problems Related to Infinitely Many Symmetries,.

Arithmetic selection rules in dispersionless Hamiltonian systems Progresses on Some Open Problems Related to Infinitely Many Symmetries,

Reference 16

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Observation 3a76f363-8872-4e77-8d38-46a1667a242d · outbound

This paper cites Integrability of Limit Shapes of the Six Vertex Model.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrability of Limit Shapes of the Six Vertex Model

Reference 17

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Observation e11cf1b8-3d61-4047-b7e3-fdcac75e155d · outbound

This paper cites Covariant canonical formulations of classical field theories.

Arithmetic selection rules in dispersionless Hamiltonian systems Covariant canonical formulations of classical field theories

Reference 18

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source=pdf_text observed=2026-08-12T04:52:12.061225Z digest=sha256:cb224af3d6cddc66b1070cafd2b88747a773727cf9009ce2e9da9a4fedda2639

Observation 5a258a29-d3c1-4023-b19d-32b66cef5de4 · outbound

This paper cites Hints on integrability in the Wilsonian/holographic renormalization group,.

Arithmetic selection rules in dispersionless Hamiltonian systems Hints on integrability in the Wilsonian/holographic renormalization group,

Reference 19

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Observation 333867a5-fe53-4e8b-a1d1-3db727b10c01 · outbound

This paper cites An exact statement for Wilsonian and Holographic renormalization group.

Arithmetic selection rules in dispersionless Hamiltonian systems An exact statement for Wilsonian and Holographic renormalization group

Reference 20

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Observation 6441e7da-07dc-49c9-a44b-41b58ebe9202 · outbound

This paper cites Renormalization and Effective Lagrangians,.

Arithmetic selection rules in dispersionless Hamiltonian systems Renormalization and Effective Lagrangians,

Reference 21

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Observation 0ce7cb22-e6ac-41c9-8373-9684af3d7763 · outbound

This paper cites The Wilson-Polchinski exact renormalization group equation.

Arithmetic selection rules in dispersionless Hamiltonian systems The Wilson-Polchinski exact renormalization group equation

Reference 22

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Observation 73ecad3c-fa71-4756-a734-0af1df3cb62e · outbound

This paper cites Multi-Hamiltonian structure of the Born–Infeld equation,.

Arithmetic selection rules in dispersionless Hamiltonian systems Multi-Hamiltonian structure of the Born–Infeld equation,

Reference 23

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Observation 0b1f1b9e-9bbd-4190-8ba3-e31fa55dc6aa · outbound

This paper cites Perfect Fluid Theory and its Extensions.

Arithmetic selection rules in dispersionless Hamiltonian systems Perfect Fluid Theory and its Extensions

Reference 24

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Observation b1ab572c-0f0a-4814-bea6-fcc2bee5727a · outbound

This paper cites The On-Line Encyclopedia of Integer Sequences,.

Arithmetic selection rules in dispersionless Hamiltonian systems The On-Line Encyclopedia of Integer Sequences,

Reference 25

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Observation a9ac5b60-53eb-4981-9692-c509c19df029 · outbound

This paper cites “Motzkin paths, Motzkin polynomials and recurrence relations,.

Arithmetic selection rules in dispersionless Hamiltonian systems “Motzkin paths, Motzkin polynomials and recurrence relations,

Reference 26

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Observation 28dc1c73-7daf-4923-bebb-8587f8ca0ed4 · outbound

This paper cites Asymptotic integrability of nonlinear wave equations,.

Arithmetic selection rules in dispersionless Hamiltonian systems Asymptotic integrability of nonlinear wave equations,

Reference 27

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Observation ea5e7418-9e89-4889-9bd5-2c0a2b648edf · outbound

This paper cites Quasiclassical integrability condition in AKNS scheme,.

Arithmetic selection rules in dispersionless Hamiltonian systems Quasiclassical integrability condition in AKNS scheme,

Reference 28

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Observation 7c6cbc0a-5c6a-41e4-8f0e-4a9de33a9aa3 · outbound

This paper cites Lagrangian Approach to Dispersionless KdV Hierarchy,.

Arithmetic selection rules in dispersionless Hamiltonian systems Lagrangian Approach to Dispersionless KdV Hierarchy,

Reference 29

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Observation 3dd6455c-6d04-4edd-9f9f-ee598a4a0a44 · outbound

This paper cites Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method,.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method,

Reference 30

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Observation a3303668-189c-48dd-8e5f-8f6f74a2eb76 · outbound

This paper cites Integrable evolution equations on associative algebras,.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrable evolution equations on associative algebras,

Reference 31

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Observation 40d1051d-0a5d-4d1c-95b3-09daeb25be81 · outbound

This paper cites The quadratic bundle of general form and the nonlinear evolution equations. II. Hierarchies of Hamiltonian structures,.

Arithmetic selection rules in dispersionless Hamiltonian systems The quadratic bundle of general form and the nonlinear evolution equations. II. Hierarchies of Hamiltonian structures,

Reference 32

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Observation 9aa6e01e-c002-443e-b4a2-bd099fc48c81 · outbound

This paper cites Bifurcations of Phase Portraits, Exact Solutions and Conservation Laws of the Generalized Gerdjikov–Ivanov Model,.

Arithmetic selection rules in dispersionless Hamiltonian systems Bifurcations of Phase Portraits, Exact Solutions and Conservation Laws of the Generalized Gerdjikov–Ivanov Model,

Reference 33

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Observation e1bff825-ef1a-45a2-a70c-616798f9cfa1 · outbound

This paper cites Solutions to the wave equation for commuting – 16 – flows of dispersionless PDEs,.

Arithmetic selection rules in dispersionless Hamiltonian systems Solutions to the wave equation for commuting – 16 – flows of dispersionless PDEs,

Reference 34

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source=pdf_text observed=2026-08-12T04:52:12.101655Z digest=sha256:96254dfad47ab3dfa9981c224f9988216deed3f66ba14d16f3e3c41d9bc9a386

Observation 0b45530f-2360-427b-91f3-645ec613fdff · outbound

This paper cites Solitary Waves of Burgers Hierarchy Equations,.

Arithmetic selection rules in dispersionless Hamiltonian systems Solitary Waves of Burgers Hierarchy Equations,

Reference 35

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source=pdf_text observed=2026-08-12T04:52:12.103993Z digest=sha256:bc4e181ec7f23d68f9a518f13e61197ca6fcffdf060f14f0d4d6b4ff7918eedd

Observation e1683acd-fa19-4189-b2f0-ae896cc11e5c · outbound

This paper cites The Diophantine equationx 2 −Dy 2 =N,D >0,.

Arithmetic selection rules in dispersionless Hamiltonian systems The Diophantine equationx 2 −Dy 2 =N,D >0,

Reference 36

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raw_fallback, observed 2026-08-12T04:52:12.503422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.106468Z digest=sha256:50998b495ca1da7c31737753bc1841a87184e12f72ca248c242f86409551b6c3

Observation 1e9351f9-40fc-48be-97d6-7b7804acb4d1 · outbound

This paper cites Solving the Pell equation,.

Arithmetic selection rules in dispersionless Hamiltonian systems Solving the Pell equation,

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:52:12.495432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.108967Z digest=sha256:875b9c721f53d6f1f5dbc1fadce8d641b663e3851f7294c10da57b99c925d730

Observation 741aeef7-0373-4f95-8162-f364cda3e1a9 · outbound

This paper cites Deformations of dispersionless Lax systems,.

Arithmetic selection rules in dispersionless Hamiltonian systems Deformations of dispersionless Lax systems,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:52:12.487080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.111283Z digest=sha256:fcebd84f8eca8e9318d534584700f7481508636f4d5740760d659f68006e73d8

Observation a481b1e9-cf28-4933-8815-97fc1901cfba · outbound

This paper cites Integrable equations in 2 + 1 dimensions: deformations of dispersionless limits,.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrable equations in 2 + 1 dimensions: deformations of dispersionless limits,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:52:12.479165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.113622Z digest=sha256:323c8c14e170f1482e750b029613ac074c26e4efdf191c7f65c115e96f7272c9

Observation 68316409-2494-4532-bf4f-9bf8159daae2 · outbound

This paper cites Nonlinear Schr¨ odinger equations of general form and their exact solutions,.

Arithmetic selection rules in dispersionless Hamiltonian systems Nonlinear Schr¨ odinger equations of general form and their exact solutions,

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:52:12.471056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.116225Z digest=sha256:102edd7e501de0901af63c798de24ad11641eb1a1025dfc678765658ad1287b9

Observation e6353eef-1261-466c-a78b-0f9753608851 · outbound

This paper cites Integration of nonlinear system of four waves with two velocities in (2 + 1) dimensions by the inverse scattering transform method,.

Arithmetic selection rules in dispersionless Hamiltonian systems Integration of nonlinear system of four waves with two velocities in (2 + 1) dimensions by the inverse scattering transform method,

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:52:12.463131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.118650Z digest=sha256:e271b3878509bc75b75891c5fed60e0e43156a3d25c4bf38b143f4eed772eb08

Observation be255c43-d68b-4e74-b94d-e5b05d2cd55a · outbound

This paper cites Lagrangian multiforms and dispersionless integrable systems,.

Arithmetic selection rules in dispersionless Hamiltonian systems Lagrangian multiforms and dispersionless integrable systems,

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:52:12.454670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.121063Z digest=sha256:109222b6321d3aa91bd78a49f11a01c7e4b5fa511c2d8ea9ba5cb917d9fee6ac

Observation 9370230a-6a4c-4027-96be-023acffe7db9 · outbound

This paper cites Interpolating Dispersionless Integrable System.

Arithmetic selection rules in dispersionless Hamiltonian systems Interpolating Dispersionless Integrable System

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:52:12.305240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.123367Z digest=sha256:d88aa590dcce9b8a4a88679375ba41b096641f0191c0a1ae5558892e71064a63

Observation c057401f-5525-46b8-af47-fb26b52e22ba · outbound

This paper cites Integrability via geometry: dispersionless differential equations in three and four dimensions.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrability via geometry: dispersionless differential equations in three and four dimensions

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:52:12.295520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.126229Z digest=sha256:f30f2376a1371a77bf2e34a763018540cceb1d08e841f42da7dc6371affd3e66

Observation ba4b745f-5fe0-4778-978b-b16a23ee858c · outbound

This paper cites Integrability ex machina.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrability ex machina

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-12T04:52:12.129290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T04:52:12.129290Z digest=sha256:fd5ca43d684417fa710b2ee4e6b483b79d27e538b6d257977f39cce411d585c9

Observation 6bbb67ad-3966-4ca6-a178-f3e976dc4b0b · outbound

This paper cites Classical integrability in the presence of a cosmological constant: analytic and machine learning results.

Arithmetic selection rules in dispersionless Hamiltonian systems Classical integrability in the presence of a cosmological constant: analytic and machine learning results

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-12T04:52:12.131972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T04:52:12.131972Z digest=sha256:dcb86a76f587901627a64b4961dbe4607f3446c262cfe95b3cda45f44e7d7b4e

Observation aecf19ff-9f10-4cfa-ba15-cdffe9d61e09 · outbound

This paper cites Machine-Learning Search for Lax Connections.

Arithmetic selection rules in dispersionless Hamiltonian systems Machine-Learning Search for Lax Connections

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:52:12.273931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.134755Z digest=sha256:7c08420f4695cace5c10fa679a151b42f71c62c0deb6bfcd78f0d99cda492c46

Observation b04fb9f0-3376-426a-9873-b534858bdce3 · outbound

This paper cites Direct poisson neural networks: learning non-symplectic mechanical systems,.

Arithmetic selection rules in dispersionless Hamiltonian systems Direct poisson neural networks: learning non-symplectic mechanical systems,

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:52:12.447054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.138046Z digest=sha256:8b8f3f5894a548fa3ecae4b7c11da8fbf1151ad9412bd2776c140431dbe0d1c6

Observation 79bd5874-5bde-41c7-b774-88f5b95debf9 · outbound

This paper cites Gauge Theory And Integrability, III.

Arithmetic selection rules in dispersionless Hamiltonian systems Gauge Theory And Integrability, III

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-12T04:52:12.140468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T04:52:12.140468Z digest=sha256:cd3a9e51708bf3d51598f4f2becb1fa70a0ffe0455de59652b3357922c533238

Observation 2841cc02-dfe2-48c3-92c2-f9154a382765 · outbound

This paper cites Dualities and discretizations of integrable quantum field theories from 4d Chern-Simons theory,.

Arithmetic selection rules in dispersionless Hamiltonian systems Dualities and discretizations of integrable quantum field theories from 4d Chern-Simons theory,

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-12T04:52:12.143150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T04:52:12.143150Z digest=sha256:80cd587e8ed77c561b82261ca06fc767402cd09334c08ff00c12211a8d57e241

Observation 14e19769-cafc-43e7-a51f-56bf7a49bedd · outbound

This paper cites Gauge Theory and Integrability: An Overview.

Arithmetic selection rules in dispersionless Hamiltonian systems Gauge Theory and Integrability: An Overview

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:52:12.170260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:52:12.145571Z digest=sha256:c8f55e5906038287a8dba1e9ac8bff1973c3eeea4d115c32df6ba003a3d30447

Pith citing papers

No inbound Pith citation observations are available.