Paper Citation Record · LEDGER

Mondrian: Transformer Operators via Domain Decomposition

As of 8 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:2506.08226.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.08226 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

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One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

57 of 57 outbound references displayed

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External citation measurements

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Outbound references

Observation e0384c8e-b187-4e9c-bcf5-0ab6df346d05 · outbound

This paper cites an unresolved cited work.

Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:59.825048Z

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Observation c07e000e-7e5a-4137-ac39-73b4f095898d · outbound

This paper cites Azizzadenesheli, N.

Mondrian: Transformer Operators via Domain Decomposition Azizzadenesheli, N

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:59.692566Z

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Observation ab56f69d-56ab-4085-b018-130c18a31e3e · outbound

This paper cites Bartolucci, E.

Mondrian: Transformer Operators via Domain Decomposition Bartolucci, E

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:59.567407Z

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 4

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 5

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Observation 7f756c9a-86ee-4e52-93f5-89216309c150 · outbound

This paper cites Calvello, N.

Mondrian: Transformer Operators via Domain Decomposition Calvello, N

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:59.287757Z

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:59.152926Z

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 8

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This paper cites an unresolved cited work.

Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 9

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 10

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 11

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Observation 0813eb88-f4b2-4671-8e35-2420ab2ed16f · outbound

This paper cites an unresolved cited work.

Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 12

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Observation 5c692d7d-3d0e-4b42-a0e1-6e7b6fc97bbc · outbound

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 13

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Observation bb4415d5-f4ce-4859-b053-29735d4d9ca0 · outbound

This paper cites Dao and A.

Mondrian: Transformer Operators via Domain Decomposition Dao and A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:58.069526Z

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Observation b0e83370-19bf-421b-9099-618c3edcad91 · outbound

This paper cites Dehghani, J.

Mondrian: Transformer Operators via Domain Decomposition Dehghani, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:57.897259Z

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Observation 378c0b24-ce80-474c-ac5d-356d520fa8f6 · outbound

This paper cites Dolean, P.

Mondrian: Transformer Operators via Domain Decomposition Dolean, P

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:57.766123Z

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Observation e64026f0-e570-49ab-9c7a-97ff93886c64 · outbound

This paper cites Dosovitskiy, L.

Mondrian: Transformer Operators via Domain Decomposition Dosovitskiy, L

Reference 17

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Source-reported events for the cited work

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Observation fa641514-21ea-4fdd-b56a-839227f5f319 · outbound

This paper cites Learning to correct spectral methods for simulating turbulent flows.

Mondrian: Transformer Operators via Domain Decomposition Learning to correct spectral methods for simulating turbulent flows

Reference 18

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e2477e1-614b-4168-9de3-66efa3cc2a49 · outbound

This paper cites Dubois, M.

Mondrian: Transformer Operators via Domain Decomposition Dubois, M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:57.575214Z

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Observation b37b34cd-9e21-4543-9b3d-ced9cd8dddc0 · outbound

This paper cites Fanaskov and I.

Mondrian: Transformer Operators via Domain Decomposition Fanaskov and I

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:57.339165Z

Source-reported events for the cited work

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Observation 255f6551-bb6a-41b4-b582-28486391cbdb · outbound

This paper cites an unresolved cited work.

Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:57.184608Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9bbbe5d0-9af2-45f9-bb26-35bc38f3b3c2 · outbound

This paper cites Mamba: Linear-Time Sequence Modeling with Selective State Spaces.

Mondrian: Transformer Operators via Domain Decomposition Mamba: Linear-Time Sequence Modeling with Selective State Spaces

Reference 22

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 23

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Observation 765fab9b-3eef-4088-99cf-ac7976ba641e · outbound

This paper cites an unresolved cited work.

Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:56.794094Z

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Observation 9a2b287f-da4b-4648-b44c-a9426c4c7b6e · outbound

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 25

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Observation 52ca261b-cbbc-4d11-8486-0609ce2f2b2d · outbound

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 26

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce8c540d-87d1-4eaf-9cbb-5e4a9cb97301 · outbound

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Mondrian: Transformer Operators via Domain Decomposition Poseidon: Efficient Foundation Models for PDEs

Reference 27

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c83ff8a-0c92-449e-8665-76046d686f8b · outbound

This paper cites Hersbach, B.

Mondrian: Transformer Operators via Domain Decomposition Hersbach, B

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:56.385244Z

Source-reported events for the cited work

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Observation dcfc47ad-11a9-418e-b864-1c1c32e58cc4 · outbound

This paper cites Axial Attention in Multidimensional Transformers.

Mondrian: Transformer Operators via Domain Decomposition Axial Attention in Multidimensional Transformers

Reference 29

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Unavailable: canonical work link unavailable.

Observation 5bd181fd-e6c5-490f-bae0-bc7c44597de0 · outbound

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Mondrian: Transformer Operators via Domain Decomposition Karypis and V

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:56.187308Z

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Observation 61efa405-0228-45e0-b90e-81db31d572dd · outbound

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Mondrian: Transformer Operators via Domain Decomposition Segment Anything

Reference 31

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Source-reported events for the cited work

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This paper cites Operator Learning: Algorithms and Analysis.

Mondrian: Transformer Operators via Domain Decomposition Operator Learning: Algorithms and Analysis

Reference 32

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Source-reported events for the cited work

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Observation e5c31bbc-cb84-4d4c-bd11-e1cc523fddc2 · outbound

This paper cites Neural Operator: Learning Maps Between Function Spaces.

Mondrian: Transformer Operators via Domain Decomposition Neural Operator: Learning Maps Between Function Spaces

Reference 33

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f02e42e2-f36d-4962-98bd-57222478cd95 · outbound

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:55.986437Z

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Observation 93134c94-1bb2-4926-88fb-1155cd836c95 · outbound

This paper cites an unresolved cited work.

Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:55.774518Z

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 36

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Observation 88f59c8d-8ed8-4a2c-9099-76319162c7fe · outbound

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:55.438146Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a1652f27-6297-44a9-9f71-dbe79974bd60 · outbound

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Mondrian: Transformer Operators via Domain Decomposition Lions et al

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:55.264561Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fcb7d3b2-cfbc-4840-b1d5-ae1aed267274 · outbound

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:55.092575Z

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Observation 4c395da9-edb0-4525-9d91-d9c24695b885 · outbound

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 40

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 36ef0661-187c-4571-a2f6-7f3049a933d6 · outbound

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Mondrian: Transformer Operators via Domain Decomposition Liu-Schiaffini, J

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:54.735912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5c86ffe9-5b97-4867-9522-240e69f6a48b · outbound

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Mondrian: Transformer Operators via Domain Decomposition Decoupled Weight Decay Regularization

Reference 42

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Mondrian: Transformer Operators via Domain Decomposition Oquab, T

Reference 43

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Observation 7c7f6cef-4859-41bd-b1af-93ffc865ec4d · outbound

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Mondrian: Transformer Operators via Domain Decomposition FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators

Reference 44

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Unavailable: canonical work link unavailable.

Observation bfe22944-104c-43cb-b516-49f06191ee21 · outbound

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:54.564240Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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This paper cites an unresolved cited work.

Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:54.381666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 37fb3c1d-6126-47ba-8bd9-a635074b4109 · outbound

This paper cites Raonic, R.

Mondrian: Transformer Operators via Domain Decomposition Raonic, R

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:54.186327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fe985c73-a32c-4f53-b746-83582aaa613d · outbound

This paper cites Self-Attention with Relative Position Representations.

Mondrian: Transformer Operators via Domain Decomposition Self-Attention with Relative Position Representations

Reference 48

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20072d1f-fb13-42a1-af3b-e580f6fd117a · outbound

This paper cites Solodskikh, A.

Mondrian: Transformer Operators via Domain Decomposition Solodskikh, A

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:54.042817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 792ee8c0-984f-4175-83f1-3d2eec2f43ac · outbound

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Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:53.867573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2859365e-4002-4efe-8bcc-cf96fd0514be · outbound

This paper cites Touvron, T.

Mondrian: Transformer Operators via Domain Decomposition Touvron, T

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:51.330182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46dd123b-c137-4055-836a-49d2f449edd1 · outbound

This paper cites an unresolved cited work.

Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:53.489460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1b9c4fb6-3766-4451-b5d8-85097e55b83d · outbound

This paper cites Vaswani, N.

Mondrian: Transformer Operators via Domain Decomposition Vaswani, N

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-07T05:23:51.541879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08a05a03-2b1e-4838-95ea-d6f1b44814b3 · outbound

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Mondrian: Transformer Operators via Domain Decomposition Villaescusa-Navarro

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:53.162077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0033e22b-da49-4fca-b541-05605d5dc5d2 · outbound

This paper cites an unresolved cited work.

Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:52.918122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 02506a06-bfd7-4933-b7cd-b82020950f14 · outbound

This paper cites an unresolved cited work.

Mondrian: Transformer Operators via Domain Decomposition Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:23:52.650206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 615286cb-8aae-41ad-acbe-4e4b7de9c9c0 · outbound

This paper cites subdomain operators.

Mondrian: Transformer Operators via Domain Decomposition subdomain operators

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:23:52.407491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.