Paper Citation Record · LEDGER

DPNO: A Dual Path Architecture For Neural Operator

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2507.12719.

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

pith.paper-citation-record.v1
2507.12719 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:44:53.348294Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

verified exact0
verified fuzzy15
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a808e4a5-c722-418c-be8d-e3eb95522d6d · outbound

This paper cites Unsupervised Deep Learning Algorithm for PDE-based Forward and Inverse Problems.

DPNO: A Dual Path Architecture For Neural Operator Unsupervised Deep Learning Algorithm for PDE-based Forward and Inverse Problems

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T16:44:51.319791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba93c6df-3af7-4349-a609-08bb3979f3a4 · outbound

This paper cites M d d c i n nd n n w ks f m ic PDEs.

DPNO: A Dual Path Architecture For Neural Operator M d d c i n nd n n w ks f m ic PDEs

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:56.220671Z

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 a16e9261-cb78-45ca-bc90-4a44fe7e0bad · outbound

This paper cites Th d Ri z m h d: d ning b s d n m ic g i hm f s ving v i i n b- ms.

DPNO: A Dual Path Architecture For Neural Operator Th d Ri z m h d: d ning b s d n m ic g i hm f s ving v i i n b- ms

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:56.075580Z

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 8250ec9a-80c6-474a-a957-42bbebea6c2f · outbound

This paper cites Ph sics-informed neural networks: A deep learning f m w k f s ving f w d nd inv s b ms inv ving n n in i diff n i q i ns.

DPNO: A Dual Path Architecture For Neural Operator Ph sics-informed neural networks: A deep learning f m w k f s ving f w d nd inv s b ms inv ving n n in i diff n i q i ns

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:55.960136Z

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 0250b1b1-32da-4e3f-b68a-260191cef925 · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

DPNO: A Dual Path Architecture For Neural Operator Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T16:44:51.636637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7bf1230-8560-48bb-ad58-2d2f9626ef6c · outbound

This paper cites ning n n in s vi D b s d n h niv s xim i n h m f s.

DPNO: A Dual Path Architecture For Neural Operator ning n n in s vi D b s d n h niv s xim i n h m f s

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:55.844688Z

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 8f70f267-c9a7-4547-a6e9-e77ff5729250 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

DPNO: A Dual Path Architecture For Neural Operator Fourier Neural Operator for Parametric Partial Differential Equations

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T16:44:51.783170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 281e15ff-cb3a-41d4-8aec-3c4aabf22b8c · outbound

This paper cites In g nc d n w k f disc iz i n-invariant ning.

DPNO: A Dual Path Architecture For Neural Operator In g nc d n w k f disc iz i n-invariant ning

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:55.709629Z

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 42cd6487-9b6f-45fc-9685-d218ed7d0835 · outbound

This paper cites Transolver: A Fast Transformer Solver for PDEs on General Geometries.

DPNO: A Dual Path Architecture For Neural Operator Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T16:44:51.996989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96f5146f-46c3-4d5b-8420-a58ea479db5b · outbound

This paper cites D h n w ks.

DPNO: A Dual Path Architecture For Neural Operator D h n w ks

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:55.501276Z

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 46cc67ec-e882-46a7-965b-4ced1036f073 · outbound

This paper cites s f cc ing sci n ific sim i ns nd d sign.

DPNO: A Dual Path Architecture For Neural Operator s f cc ing sci n ific sim i ns nd d sign

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:55.354418Z

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 4fd58af8-ffdb-474c-87dc-5fca35b0dccc · outbound

This paper cites Univ s xim i n n n in s b n n w ks wi h - bi c iv i n f nc i ns nd i s ic i n d n mic s s ms.

DPNO: A Dual Path Architecture For Neural Operator Univ s xim i n n n in s b n n w ks wi h - bi c iv i n f nc i ns nd i s ic i n d n mic s s ms

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:55.136710Z

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 b810bc83-09ba-4e02-b285-6ab8eca72c63 · outbound

This paper cites Variable-Input Deep Operator Networks.

DPNO: A Dual Path Architecture For Neural Operator Variable-Input Deep Operator Networks

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T16:44:52.340942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74c87ee4-211c-4442-b692-c6ffe4361c0b · outbound

This paper cites B sis n w k: A n n w k -based model for learning nonlinear s vi n b sis.

DPNO: A Dual Path Architecture For Neural Operator B sis n w k: A n n w k -based model for learning nonlinear s vi n b sis

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:54.947528Z

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 068b7c10-ce31-42ab-a371-5843048bf75b · outbound

This paper cites W v n f s ving m ic i diff n i q i ns in c m i n m ch nics b ms.

DPNO: A Dual Path Architecture For Neural Operator W v n f s ving m ic i diff n i q i ns in c m i n m ch nics b ms

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:54.740227Z

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 9bbae534-ff0d-48c2-9e92-f02be79d7314 · outbound

This paper cites U -net: Convolutional networks for biomedical image s gm n i n.

DPNO: A Dual Path Architecture For Neural Operator U -net: Convolutional networks for biomedical image s gm n i n

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:54.568472Z

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 5affeb1d-041d-4e7c-905a-88ac877db494 · outbound

This paper cites D sid ning f im g c gni i n.

DPNO: A Dual Path Architecture For Neural Operator D sid ning f im g c gni i n

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:54.381481Z

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 1ad9c218-f0f3-4f28-8238-a05d30b6ba7f · outbound

This paper cites D ns c nn c d c nv i n n w ks.

DPNO: A Dual Path Architecture For Neural Operator D ns c nn c d c nv i n n w ks

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:54.217504Z

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 9afb68f9-2c1b-4760-ba10-fb8b92887a5e · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

DPNO: A Dual Path Architecture For Neural Operator An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T16:44:52.853299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8c03153-e41c-45c2-853f-bfcbaabe7b41 · outbound

This paper cites U-NO: U-shaped Neural Operators.

DPNO: A Dual Path Architecture For Neural Operator U-NO: U-shaped Neural Operators

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T16:44:52.924285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8435d5c-767c-45a7-9ffd-5aa6709f6385 · outbound

This paper cites Ch s nsf m : F i g kin.

DPNO: A Dual Path Architecture For Neural Operator Ch s nsf m : F i g kin

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:54.057963Z

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 8ba5b4e6-de19-4f20-acd8-5eab91881e6d · outbound

This paper cites Gn : A g n n nsf m f ning.

DPNO: A Dual Path Architecture For Neural Operator Gn : A g n n nsf m f ning

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:44:53.911432Z

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 c0347129-9351-4aa9-93c0-eb77052acf7c · outbound

This paper cites Improved Operator Learning by Orthogonal Attention.

DPNO: A Dual Path Architecture For Neural Operator Improved Operator Learning by Orthogonal Attention

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T16:44:53.180785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aceb3ae5-beef-469d-afd7-660993cfb4ff · outbound

This paper cites Operator Learning: Algorithms and Analysis.

DPNO: A Dual Path Architecture For Neural Operator Operator Learning: Algorithms and Analysis

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T16:44:53.259035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 441ce367-750b-447d-b477-22f856956667 · outbound

This paper cites an unresolved cited work.

DPNO: A Dual Path Architecture For Neural Operator Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:44:53.690649Z

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.