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Paper Citation Record · LEDGER

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations

As of 15 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2607.08025.

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

pith.paper-citation-record.v1
2607.08025 v1

Coverage vector

measured 64 of 64 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T13:31:14.182518Z

measured 64 of 64 standing notices

One-hop event checks from named stored sources.

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

64 of 64 outbound references displayed

  • verified exact1
  • verified fuzzy63
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 012bb533-c34a-4353-ac40-0525660bf904 · outbound

This paper cites International Conference on Machine Learning , pages=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations International Conference on Machine Learning , pages=

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.278078Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:f9bd17d2cf3659f4e6a3d5cfc736859baeedd14172dda17cdbc9960908d8b22d

Observation 798bd286-0359-4bb8-b2d8-497544202bf8 · outbound

This paper cites Walailak Journal of Science and Technology (WJST) , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Walailak Journal of Science and Technology (WJST) , volume=

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.246736Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:51da12a0b6957783cb2ebfe8d46cd8f5120ba3603f9800c8d630b32af10f60d4

Observation 747aa501-7dda-42f7-aa95-608851d38d07 · outbound

This paper cites Sustainable Cities and Society , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Sustainable Cities and Society , volume=

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.231570Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:a20292c1788621cda15887fd4bb1b8318d5f9a4007739384251fc5abf5a34a5c

Observation 798d6876-4948-497e-8340-584a5974c643 · outbound

This paper cites Energies , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Energies , volume=

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.257520Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:b04861da2b3cd96d506fb4b13d80a9a4b05db1a64ba1a877272536a3b30660fc

Observation e19a6d8d-5606-4d75-b33b-15f1cd41766f · outbound

This paper cites ASME Open Journal of Engineering , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations ASME Open Journal of Engineering , volume=

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.202846Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:afa01b2315be40989be411c68d330721aef5664b6d5e5f3282029291f94393cd

Observation b742be2c-f911-484a-ae46-00272a9ceea2 · outbound

This paper cites Engineering Applications of Artificial Intelligence , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Engineering Applications of Artificial Intelligence , volume=

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.213000Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:b56832eb9e5048c1031113c0ab63909bad29040583457708d2b90c59a2a3ddac

Observation a839d54d-cdb3-4edc-884e-0bc0993963b2 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Computer Methods in Applied Mechanics and Engineering , volume=

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.207962Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:a6c2b1e346981a9839d82ee1a67e271b44379dbb30f368dfbacdddd249563a35

Observation 62de17a3-0597-4a7d-b4fe-43d2995bfaf5 · outbound

This paper cites ICLR 2020 workshop on integration of deep neural models and differential equations , year=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations ICLR 2020 workshop on integration of deep neural models and differential equations , year=

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.209582Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:5f6df5194d59b2680609800d9171c5dee896f442886f4bf403f95cdbb9870ced

Observation 19c09523-f9c5-4249-94df-caf5e319ae7a · outbound

This paper cites International Design Engineering Technical Conferences and Computers and Information in Engineering Conference , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations International Design Engineering Technical Conferences and Computers and Information in Engineering Conference , volume=

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.211333Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:ef000b7b39404e9aa1652ef1c2036513953d5492cbb3f70d7cf0f91ac4216fec

Observation f6958e5c-ca99-4cb4-8fe6-3f37a6c590f5 · outbound

This paper cites Proceedings of the 25th acm sigkdd international conference on knowledge discovery & data mining , pages=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Proceedings of the 25th acm sigkdd international conference on knowledge discovery & data mining , pages=

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.214678Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:bd3723dfacc2fab84703d6e40b7768979d47e2ff92919e0e7aced88400aa937b

Observation 30fdbe0b-b8b3-4138-9bc6-d1c8fb8ed5b3 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.216323Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:05deb4e717865fcd50baf77bb00d383a42a6bc7cfaaa8eac3757b02de2ae4cbf

Observation eb64736e-e785-4a74-b437-5b2165c34225 · outbound

This paper cites Journal of Mechanical Design , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Journal of Mechanical Design , volume=

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.224711Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:cf199b804ea255747c74cecb1324dae72bbd393ae51d07796935210157e5cd93

Observation 3be198cf-a250-44ab-886d-1edb2260f7a2 · outbound

This paper cites Journal of Computational Physics , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Journal of Computational Physics , volume=

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.229896Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:3f476f24a3a47eb77f00c84d8c8be82e5961a557af2407c6651fc4e697d97a22

Observation 94aae7ce-6ee1-40f2-8932-5cd61ed9533e · outbound

This paper cites Scientific reports , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Scientific reports , volume=

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.235077Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:79f40412a4cf0bc569a04fe3e9f4078adb43673f0ab5fceeebc9918140194b14

Observation 06d922c6-b883-40fa-ae85-0ba6e853ec85 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Computer Methods in Applied Mechanics and Engineering , volume=

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.192264Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:1bfb14de579a5b326a668a1b1544ba73f305b9edf2f1866346f850301119bcf5

Observation 82d64329-4b20-49fb-9cdb-fd98eb4f8e95 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Computer Methods in Applied Mechanics and Engineering , volume=

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.194006Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:721fc4fc752aa1141cb83bd8703f35e70f95c821f73186fa323aaa1668ef3539

Observation 09d17571-71d9-4e41-9ead-b5f4dd040d05 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.197597Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:ae0b14dc97a0577827f7eefcc28ffa4961fe370d2515feaa8604d7259d77f3ab

Observation 11067ea4-c8b0-4dfc-890d-79328efddd26 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.206204Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:4fa5ac0ee4c2123340810a1b8ade465a71cf205b72129de47e9bdecc609d0f2f

Observation c96ae361-ee1c-49f7-bfe8-c9facc1d3d79 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.265582Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:88ef701d558d8c0928c48c690cf3c6c84e1aa29f33bce376aee7c0a297ffbe92

Observation e2a37adb-9685-420f-80f5-b94636d66328 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.297913Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:ca4f4c379391746d474c8bc9df306be214a9dd1c3781267bad0cc548b9317006

Observation 9204f343-61f4-4496-b5c3-71a0d199333f · outbound

This paper cites Nature Reviews Physics , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Nature Reviews Physics , volume=

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.275817Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:da38226b7beb2311f649671d6773c555d527e6272e2d5c91b1715422356f3eab

Observation d01fdd3c-bf23-47da-b0be-5a3712ae95ee · outbound

This paper cites The finite volume method in computational fluid dynamics: An advanced introduction with OpenFOAM.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations The finite volume method in computational fluid dynamics: An advanced introduction with OpenFOAM

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.183325Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:3b894e33a4852317232179722ff3bb707b0d2cb428be6998be3d0e4a862f040c

Observation 65748226-ba73-4dd1-91a1-4e71afe26caa · outbound

This paper cites 2023 IEEE International Solid-State Circuits Conference (ISSCC) , pages=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations 2023 IEEE International Solid-State Circuits Conference (ISSCC) , pages=

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.185253Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:d93392abbf967cb3a2b1726487e53e164a4de0f20409226be0d72847363f1ab8

Observation 00010be8-8095-4708-bb91-573bd3c006fa · outbound

This paper cites Advances in neural information processing systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in neural information processing systems , volume=

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.188819Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:3257cfa2bbfdc690d4bc7fd73d4fe4363b02c4243e16509c24b8c522ee6fe6c1

Observation 8243fec4-c03f-4823-90c6-25e13f73d8cc · outbound

This paper cites Nature machine intelligence , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Nature machine intelligence , volume=

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.201034Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:1d6c7817e9aeefd9d55ad7ea4010ba01081ab7ec58c9da861402090ea0f8439f

Observation 6a99f73d-d263-467a-b83d-e5b542a820d8 · outbound

This paper cites Fourier neural operator for parametric partial differential equations , author=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Fourier neural operator for parametric partial differential equations , author=

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.181546Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:5471389f15ad5178bb105e3d019b6397fe5a6e7054c49c50cfd783807b879e97

Observation b6e375aa-9122-4f42-8562-f7ce9c0399ad · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.179807Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:9fbeed396e25450b9a980c0b07adfeaed1dfcc2f7766335684cdfde3053c0d30

Observation f876fd99-e37d-46aa-bfb8-ef7bc78610eb · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.190589Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:bd94898030820bd152d9cde0ecaba8e304d2530496b6cd4b623223eb17b0bace

Observation 6e6a851f-ba87-4c17-a672-de37db0e3b42 · outbound

This paper cites 2019 , publisher=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations 2019 , publisher=

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.195690Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:95b11a6e65c0ba6c66bcaeaf3d4bb7d8bb424708bddc31ea6ead5263a3c6c011

Observation 4f825962-4e54-4924-8a14-588dcf73a224 · outbound

This paper cites Journal of Computational physics , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Journal of Computational physics , volume=

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.174390Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:3a08beaa81bf6022b4318ad99bfe89aa83ecceb15dbaa38345cb04fff018defb

Observation 2d8507cb-4ca0-421a-a667-a50f5efd42f4 · outbound

This paper cites Engineering Applications of Artificial Intelligence , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Engineering Applications of Artificial Intelligence , volume=

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.177909Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:c9a4c2db25f1e45d58581dab22a63c6bb45565b999ac686c73a9a7d6856b0e50

Observation 006cc15c-e084-43b9-b6cf-e20c2b9a1b95 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.176162Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:5f5ad7ea6350f311905477d1b6ac293fb411cf8324c9eb04e64f7d7159101e20

Observation a0fd886e-7678-41b1-910d-c359c090d630 · outbound

This paper cites Advances in neural information processing systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in neural information processing systems , volume=

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.204528Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:b3a696f34c66d4b8fc7471b54248f640d364e51f1511ff005e24ce0e7c868fae

Observation 1d017fcd-8e24-48ed-b534-b7237839f249 · outbound

This paper cites 2025 , url=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations 2025 , url=

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.221463Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:5d135c41afab13c0b83ff4e34234612ae6b9b6a7b3b580b29299de86ae316156

Observation 6a4654c6-d8cf-4644-b2ab-94e60af9a161 · outbound

This paper cites Advances in neural information processing systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in neural information processing systems , volume=

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.281369Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:0aab8403d52e98889d8e3e68bcbdd7c657a078a0632fe1d84dcebf81b4c3a2ac

Observation 61d5c859-884b-46f9-a38b-ed257c17eab2 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Computer Methods in Applied Mechanics and Engineering , volume=

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.236628Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:296ebf7b478573b27c34156b567150b5f91b2f315789e1e4a2772e34981080ed

Observation faf61d0b-ce38-491b-84b8-02833f0a23c1 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Computer Methods in Applied Mechanics and Engineering , volume=

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.238361Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:712316e5d45fef99c5be24e37c14cacbca9c9cdb1b99162c63aed776d3517aca

Observation 6d422d89-67dc-4f3c-95af-fb028f4e24c5 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Computer Methods in Applied Mechanics and Engineering , volume=

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.245007Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:8332317614b682263fe39aa02aaaeb941846755336fc8be73a7b799759d72d5d

Observation 39f4a25a-e2b3-40b6-965c-f8ac3fcdcb04 · outbound

This paper cites Journal of Computational Physics , pages=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Journal of Computational Physics , pages=

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.259586Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:97be97204320dcf8968d51315091610808ce759fcd428b73d45f7f1df05cd1f6

Observation 5ea3ab38-960e-4402-bfe6-15db3985d305 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.233454Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:827f8663f3d1a414823d7d7b000ad358cb6ef927fb5a72b12f3ba220ab15a78d

Observation 342743ab-989e-4c40-9b07-4d94abeaf8d5 · outbound

This paper cites Neural Networks , pages=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Neural Networks , pages=

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.250129Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:80fb47cdb7003e0d513546a9777ba9749ec6ea7e8a5448d3ecd8137a7cc9d9d2

Observation d586d829-db3f-4391-a709-be33eb290318 · outbound

This paper cites Scientific Reports , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Scientific Reports , volume=

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.291792Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:63d01f5f0707a1fe90ff67e97f29145e002262ef7fe9aac6712bf010a13645a9

Observation 4a4db04b-7791-42ef-891e-ccd5388c4594 · outbound

This paper cites 2019 international joint conference on neural networks (IJCNN) , pages=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations 2019 international joint conference on neural networks (IJCNN) , pages=

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.218207Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:75762a3658220cf509251734c8f21fa932724cf620118217c877ec6baf3bb5bb

Observation 0150ce7c-7920-4ae7-a8a0-3208789093b6 · outbound

This paper cites Future Generation Computer Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Future Generation Computer Systems , volume=

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.219850Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:07ac2e29b8e86f42809b48919fa24e278252cde1e95a6aa67ac09af9e10827a3

Observation b6fa475b-852f-4c94-b115-968263ab8ea0 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Computer Methods in Applied Mechanics and Engineering , volume=

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.272268Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:8395af81709cf2d44f4606e0c75e4877acf1afa18e6e5d2930bd7892490a92f4

Observation ccd29e13-3333-4cb2-a7c0-9d9ef64d357c · outbound

This paper cites Computers & Fluids , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Computers & Fluids , volume=

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.269380Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:f53b396ecfac1509a33349037d62a376095b626d92d3ecd67ee925a5a37fd51b

Observation bb13cf2d-7ccf-4b01-bfb6-f9f5cf2637e0 · outbound

This paper cites Advances in Water Resources , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Water Resources , volume=

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.289942Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:c010c8e119b6db1e20dbb29f20bd6693a6e0aa51cec93fd90dff97969208e051

Observation ff97ae0b-3455-462e-b354-58e3d5d0833a · outbound

This paper cites ACM/JMS Journal of Data Science , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations ACM/JMS Journal of Data Science , volume=

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.295099Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:e4a706368fae79470c6d4434121e5b726ccf0e5425605d589976d2cc1d0da6a3

Observation ed9daf0f-2c58-4f9b-a4fd-712c89cfdf31 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Computer Methods in Applied Mechanics and Engineering , volume=

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.251949Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:b43501e08e3f2ed5534340af14b34c157b227492c2a017d649c5f436ecf83191

Observation 317f9446-3a37-4d6c-b16e-062356a82b41 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.287877Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:3968b3802945bf92d3961fb19420571bf5c010abe3704f337c2415cfe3aa3cfd

Observation af46fe04-0224-419f-8673-2563400969da · outbound

This paper cites Transolver: A Fast Transformer Solver for.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Transolver: A Fast Transformer Solver for

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.228216Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:c05049c9b1fb94d88fb3fbdd9add831ed7a6d60d088e731f502225179cdfb416

Observation e61b12f8-df2a-4fc6-be9c-a30ff4d88577 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.223032Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:d91a5c72af510f9077adcd428ee90ae9b3dba5b2413087c6a6a04a969e6477e3

Observation 2388f67c-726d-4cab-bab7-ba315eefdedf · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Advances in Neural Information Processing Systems , volume=

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.226509Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:e68330b0a76a87c8d51e5dcbaa00028cf6192e3fdf7264be9b5ed5f2d6f62389

Observation 5e439cea-586f-4d2f-807b-f797800156a7 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Computer Methods in Applied Mechanics and Engineering , volume=

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.253648Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:c95d5571a275e2449320155f93fd088b94488f4f873e23dee73942b4656e87de

Observation 2e5b0f7f-8c47-4b92-b11e-6cc61addc8df · outbound

This paper cites Proceedings of the AAAI Conference on Artificial Intelligence , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Proceedings of the AAAI Conference on Artificial Intelligence , volume=

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.255372Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:76eb8ebe1ed53d503b46a055acd5446b99372e1b33407f86d7f408d207c35354

Observation 8c6cc4a1-63e5-49e7-9f04-c5bd4499c008 · outbound

This paper cites 2025 , version =.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations 2025 , version =

Reference 56

Resolution
verified exact
doi, observed 2026-07-10T13:37:06.454768Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:b8c86c06c19c3cdfc3e7350c4bb85125025d1140334de58a83a493442228822f

Observation 4bc89ef2-2f89-4e6f-a828-8eaceccfdf8b · outbound

This paper cites JSME international journal.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations JSME international journal

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.243281Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:bdc3ff7bcf671e0ca6415cb6d8c014aad3769f5d4034b76469f72196663cae93

Observation 6b22b297-28ca-4808-88f6-02962f0f8e90 · outbound

This paper cites Transolver++: An Accurate Neural Solver for.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Transolver++: An Accurate Neural Solver for

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.239994Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:731c0721f3f5f1d855864da98edaa76a2ff68bd7fda29c8e638ae73f465d496b

Observation 3fc63573-62fe-4fb8-b1d0-22bf3a102273 · outbound

This paper cites International Journal of Computational Geometry & Applications , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations International Journal of Computational Geometry & Applications , volume=

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.241759Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:efe398688d87545633769808dfd1967b20741acf0669cdb14aee2fc2b1c45ecf

Observation 3780f4e9-b1e6-4e73-a817-bed58ff219a0 · outbound

This paper cites 2009 16th IEEE international conference on image processing (ICIP) , pages=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations 2009 16th IEEE international conference on image processing (ICIP) , pages=

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.262380Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:f95b248de547f86e8f8d36eab7db5609321f400aad6c79e6b9f521ddd7e9ed01

Observation cc5ce181-6623-4b42-b60d-b253c371f3e5 · outbound

This paper cites understands.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations understands

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.248389Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:061f53c84ee0b6ca13dbf8cae8cc1d3b75725eee140835e2f24d21b9fbb36d0a

Observation 2cf212cc-a8a8-4027-991c-a55395c71938 · outbound

This paper cites Computer Aided Geometric Design , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Computer Aided Geometric Design , volume=

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.285298Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:b0112dae874486eba904b0436f476360e6d8da7493820bd8f16bb090fdcac66d

Observation c0549a67-2add-4afb-8d28-c65b1155ac8a · outbound

This paper cites Chaos, Solitons & Fractals , volume=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations Chaos, Solitons & Fractals , volume=

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.187068Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:6b80805e8021899d47c7486fd0a459d9bebe93fb86815af7d6002190b4213344

Observation 7cb9d331-ec32-4662-9f5a-47c4482296a3 · outbound

This paper cites International Conference on Learning Representations (ICLR) , year=.

PGD-NO: A Neural Operator with Precomputed Geometry Decomposition for 3D Million-scale Physics Simulations International Conference on Learning Representations (ICLR) , year=

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T13:37:07.199325Z

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.

source=arxiv_source observed=2026-07-10T13:31:14.182518Z digest=sha256:4b22ed7582821bc6bd34f166980d8a05168040618f9e564832e5e2a5190a0b48

Pith citing papers

No inbound Pith citation observations are available.