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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:b4241710a1c2f326b1ac89a9adbe337d057ec9d657652ef62576349e52e77356

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:fccb7e0a4629a22ae8c75eaef9d6993d5d8f082c21be1ff2cdd3f05e2920f056

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:ca023c752d9da4d2c355f30b7f5151176bbb35880906ad08ebf7117b4582c693

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=sha256:03e9aa7c305d5b3074534143c32f666da70d23149ac8d4e81da28590c84158d5

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=sha256:6432e40a3ed8065af99f2e3110362081c378d4f6728ab557107e85455c5c6bb1

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:c02ba6345cd5f07ce27316575db7a00ff6f332653df745cae0700e94d05ae2fb

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=sha256:00ead09626959540480f1371451c1fb069cfe03090ec495a1e451e95836431c1

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=sha256:44594e9ce5a471ce5c47700b8041de3d56910ea56188f30454e0448932a6eaae

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:f1b388b7f37b637103e696c6f2c726b608bea66f3cb51977736ea4814140e287

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:ed863c338e0cf3d434f2ebd0db5e62a03ace7db43fcf29cae4eb4f5259e613db

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=sha256:293e5f70e1e32f61806fc2c2d9a41caba4ca0c2b9ba62bb66d2c6233da388977

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=sha256:7f9beab56688da75cd666a8b9153db5fe92906da68292dd96c3bcbd8e8a2aa07

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:b661c3fe5b8e18c9588ffc4e62b346da06e3f7480d7dbb20f8d0b2faca7d920d

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:aff19db76a3b4de8165dbd402ecfdd3105a3997e7eb5621448264509e4508fd7

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=sha256:013bb767065b6625cab6f1dc22047f8cfa787b76a48efd78b602e3533e351208

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:ce3c87923ca41c3674f35486f872b568e884136f4ea709bac9d9e2989c1f3597

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=sha256:69f49363fc60a555f9e80bd21d5b27d949779e40063b19629f23e071d03e5c10

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=sha256:9ad39df4026bb670a9353b1e205cb7e2af4ca0e9dc71a14448d2f4a2061fa18f

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=sha256:2f4af08fd8e339bd8dfeff21a7c125c8aad6de87af9bcc10ec52c9e5fea0aa8a

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=sha256:89e9d5b875255d1cf838055bff94e8898c3da80cc3f24fb5933df1d69eb01feb

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=sha256:0f2e6ae0e4bf3b3aead954a266b30f631bdeda06e7425ab7c30deb3d1a803151

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:f8eb11117118706ba209dfc62f8efbefcbaa33576ac644e356120d25e186269f

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=sha256:84dbf174dd19798d73530df47ad4bad054b482f6e120e6a38e66f6f498df44f1

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=sha256:468e441ca34bccea2dc61242b04a4ea4ecfd3a58c71d8b831ba881488db89a44

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:cf7d96e76aa15468022b28c6f96d961c499d7c66aeeef5ecb2b5e86b8472390c

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=sha256:7e931d851365b6b68c522e061f18f86c2766f8eda5d4524a11f06439fbf002ed

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=sha256:66becdb28ca50433e28a55f28ed816cb6de5681a604f5732effdd57efe0a0eb2

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:cf60e88f7b40237a8773465be6f387ef39961a8f5e105eed29ea3a4ce9c6d33c

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:da1281c7e48186cef77c9b5a0219084ebbe94f0ffa232af7c1ba96c33b928a2f

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:ec01ca3670586e635e137a511d5c2691028e2c88b3919d562eaf4a44befe0be7

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:d05fbacdd1971f2af656a0493a6746c579f11a1a2308063d43371c521420606c

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=sha256:0b46fd30b668cd58f05b8d72669c4ffa8b2dc8a0a6e7d745a589d629937fac76

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:c2e9bdb60d65aaf5433b78cb42050ecff664b7f695e009f2d9d30268b64f2d70

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=sha256:05ad241091e80bf5f67cd9a31cd94eb90ddb316e173a19b456a5bc1111b6469c

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=sha256:283fb002a284d44aa032f514d0fa359a47d2e6abd05ada143acee6eb151aa6a6

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=sha256:449c117f5d0347ce402be4a78ffd9521ab65c971d4155f76cb1ceead0756a9e8

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=sha256:7d736288f173f52124fc7839a91047c3f1b2d7a5cf978c7b583ca98c263286f7

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=sha256:16996a383937199395db0234f361b08bf0aa5aa0897e0a8060700b4275b53326

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=sha256:4da1308cfc5830ca77de8c73426fb2cb16827f7e3f350b52d6a7ee45ece48cd9

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:d7c6a8dc37fbd8db8d4d1f2d5c36407d0af553293a0e3d1322081d1a3994d1d2

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=sha256:31d24bccdb57b0ccb27d8a7494661982545893dcb0734b879fe794f5282aca2f

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=sha256:439965954f18a8c03e161a00cda0a6809114e792b9bae6e4983866803fc67c65

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=sha256:27452772e5a359c34f0369b162fa9c5cfaa5efb8d9792560de24578857f8c7e8

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=sha256:6fd512559cfcc91f09bdb1dcf20409a4ff30105460f0e997a7a432287f99aab3

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=sha256:1ca64e34afb006ea8440ad262d6b79240f73e1e5b40cc6368ffdce9486aa9280

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=sha256:74a0e67b9878cd768b7a754f15091fe7c5226525d25d78120b9a2e9f691c085b

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=sha256:770a27c6cb5d43f4830b0d889df6eb3f48e2a882f30e410fe283e5c2b69a6130

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:c8a5c79fe4b74eccca3c95e95ae638b4054fa6dbaff4c8d8007bef86932fb4e3

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:a917ec3ac73a7a9a9d333b2f5787b4532c2e73e240b1671dd0c54d697a8b64cb

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=sha256:43dd7744d1db435fe451fd83d2d67ce0e09d6e79dbc231a841983dd9c5daf09c

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=sha256:78fe810e8fabab95b28805f2f9b0852b67349c88f3ba55dbf1dd9225fd69fc04

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:e4da6397828bf83ddf815299ec6b4d53be90c6e5f67db3917a4be8c21a3b6630

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=sha256:8ab62ef57f2c857035cb8031738e5b5b680462ffb0de665fe923711d2a8ec800

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=sha256:316c688049e3708c2e6aeb4ed5fe9b85713b38e2711245de69072afeccfa5553

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=sha256:7a5b3a92dbf64bf4065c74efd2defa3ecd17ef902300d76e91bf74587972190c

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=sha256:22df306e0c5d5bc826a8fcee982088c93eeffa22d25628ea88cba5f45ba7d1ac

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=sha256:2594b50003deef7e793569da069c5f822827d7d17cb7b6b9433f77ea74387a6c

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:c5647359d39194fd12aa418b43fa4cef11a68288263c43f5b6fa65c082c000d6

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=sha256:7ce608c09c6e8abc642e0dbda287b0f5da68370ee99146d58cebde74f4306d10

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:f830ad12edc02396ad07a1dadb13eaa147e7ae1b8e01b592e8ebd15c1b778cca

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=sha256:87663a5dc0ec2a04995f98d261432f2bad03850e18fed026fb40a5adecda3721

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:eabecf812cdf36f5372edaab5220b98a6a7f221c386ecb52872281628da27b3d

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=sha256:3cd207438126e8e1acf954c1baf18c772cf2861890fc3684277d8a90e232b458

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=sha256:3839ce14a9b638d1c293e5ed5c5df5665d2854cf1e28d1d8da185e9fd3f8f1d3

Pith citing papers

No inbound Pith citation observations are available.