Paper Citation Record · LEDGER

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations

As of 15 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2501.13012.

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pith.paper-citation-record.v1
2501.13012 v3

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measured 25 of 25 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T16:42:16.328807Z

measured 25 of 25 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

25 of 25 outbound references displayed

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Outbound references

Observation ef0aea1b-3445-4191-b115-2a0b49cea616 · outbound

This paper cites The consistency approach, Comm.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations The consistency approach, Comm

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-10T16:42:17.205064Z

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Observation 9074665b-d417-414b-b381-601d4346f250 · outbound

This paper cites On discrete integrable equations with convex variational principles.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations On discrete integrable equations with convex variational principles

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:17.074921Z

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Observation d4dbbd93-c4f6-4c5b-ac72-5a362a04ce38 · outbound

This paper cites On the Lagrangian structure of integrable quad-equations.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations On the Lagrangian structure of integrable quad-equations

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:17.044724Z

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Observation ac4d13e3-2bfe-4f8b-811f-09f69be01fcb · outbound

This paper cites Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:17.009370Z

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Observation 77d01066-18f8-42f6-9c01-da73175fafe4 · outbound

This paper cites What is integrability of discrete variational systems?.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations What is integrability of discrete variational systems?

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.971652Z

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Observation 8e57d7e5-b108-4af5-b3df-fc430f6a8fdc · outbound

This paper cites On integrability of discrete variational systems. Octahedron relations.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations On integrability of discrete variational systems. Octahedron relations

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.940414Z

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Observation 386fb72c-1b5b-4e84-af28-f488723227f2 · outbound

This paper cites Lagrangian multiforms on Lie groups and non-commuting flows.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Lagrangian multiforms on Lie groups and non-commuting flows

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.904519Z

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Observation 5ac3513f-60dc-4f8b-bf31-f5e042ed7b96 · outbound

This paper cites Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.867709Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 94662996-5333-41cc-95a3-d5e83b0fdfbe · outbound

This paper cites Math., Cambridge University Press, Cambridge, 2016.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Math., Cambridge University Press, Cambridge, 2016

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:42:17.263098Z

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Observation 0c74a32e-93a1-460b-9e47-72749f2bb36c · outbound

This paper cites Interaction-round-a-face and consistency-around-a-face-centered-cube.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Interaction-round-a-face and consistency-around-a-face-centered-cube

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T16:42:16.215786Z

Source-reported events for the cited work

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Observation 17cc0221-7e32-4e70-b527-21c28e6a5834 · outbound

This paper cites Two-component Yang-Baxter maps and star-triangle relations.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Two-component Yang-Baxter maps and star-triangle relations

Reference 11

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T16:42:16.798656Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 05ce2920-a03a-4dbb-993b-06708cf4154e · outbound

This paper cites Lagrangian multiforms and multidimensional consistency.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Lagrangian multiforms and multidimensional consistency

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.767701Z

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Observation 3e9fa005-f937-43c7-aa1f-5483600de96e · outbound

This paper cites A Variational Principle for Discrete Integrable Systems.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations A Variational Principle for Discrete Integrable Systems

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.737804Z

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Observation 0de2a5f6-2fec-42a2-87f3-95df72483523 · outbound

This paper cites Lagrangian 3-form structure for the Darboux system and the KP hierarchy.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Lagrangian 3-form structure for the Darboux system and the KP hierarchy

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.700756Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a98676e7-e880-419d-b8e5-1179623e62a3 · outbound

This paper cites Lagrangian multiform structure of discrete and semi-discrete KP systems.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Lagrangian multiform structure of discrete and semi-discrete KP systems

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.671642Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation faf51553-6f95-45f5-b796-a1adce7f881b · outbound

This paper cites Variational symmetries and pluri-Lagrangian systems in classical mechanics.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Variational symmetries and pluri-Lagrangian systems in classical mechanics

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.636977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ecae6f0e-aa3e-464a-97fd-5c3654edf1ea · outbound

This paper cites Discrete Lagrangian Multiforms for ABS Equations II: Tetrahedron and Octahedron Equations.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Discrete Lagrangian Multiforms for ABS Equations II: Tetrahedron and Octahedron Equations

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.605475Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b77edb83-8bf3-43ba-b766-2b3a47f86d14 · outbound

This paper cites Lagrangian multiforms for Kadomtsev-Petviashvili (KP) and the Gelfand-Dickey hierarchy.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Lagrangian multiforms for Kadomtsev-Petviashvili (KP) and the Gelfand-Dickey hierarchy

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.572383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6110b1ac-e457-4bee-b436-6209ff7e9f36 · outbound

This paper cites Semi-discrete Lagrangian 2-forms and the Toda hierarchy.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Semi-discrete Lagrangian 2-forms and the Toda hierarchy

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.534053Z

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Observation 29874dc2-3e9e-430a-bb29-00af4bbfe929 · outbound

This paper cites Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.495637Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9f1ab7c6-2bfc-4580-92b1-794d1ec9223a · outbound

This paper cites On the Lagrangian structure of integrable hierarchies.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations On the Lagrangian structure of integrable hierarchies

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.461068Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 92b79fdc-2645-4c01-80ab-2a16d1aa9226 · outbound

This paper cites an unresolved cited work.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:42:17.242592Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6824dbf8-e241-40bb-8dcf-09f308141b40 · outbound

This paper cites an unresolved cited work.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations Unresolved cited work

Reference 23

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T16:42:17.223758Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3fbadd88-0948-408a-bc48-b3026445c549 · outbound

This paper cites A variational perspective on continuum limits of ABS and lattice GD equations.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations A variational perspective on continuum limits of ABS and lattice GD equations

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.423681Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1f2405f2-5fa9-406e-bd35-33f7b6b7b8d2 · outbound

This paper cites On the Lagrangian formulation of multidimensionally consistent systems.

Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations On the Lagrangian formulation of multidimensionally consistent systems

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:42:16.390567Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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