Pith. sign in

Paper Citation Record · LEDGER

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations

As of 16 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2506.01598.

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

pith.paper-citation-record.v1
2506.01598 v1

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:47:51.860778Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

65 of 65 outbound references displayed

  • verified exact1
  • verified fuzzy26
  • unresolved38
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c7913785-6dbc-4b9f-877d-0e6b2a76810b · outbound

This paper cites Infeld, Nonlinear Waves, Solitons and Chaos, 2nd ed., Cambridge Univ.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Infeld, Nonlinear Waves, Solitons and Chaos, 2nd ed., Cambridge Univ

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:08.192660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:46:59.841695Z digest=sha256:da60284a4d7c6b62d294baece5271e276788fdbb89623ddff357556d60313ac6

Observation 07c92b5c-209f-48be-847f-d660f6f3813d · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:08.126468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:46:59.881223Z digest=sha256:ef8aa563eb5cfd4a8c6208c02fa32d758b59b03446c633e3182ee5774ce3c15d

Observation ccb53ed7-c9a8-4611-8445-cd0e82732844 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:08.055371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:46:59.916950Z digest=sha256:e716cf6bfae175c89f3704648640812964c7a1d6b72d454d64e0ccdc1d99855b

Observation b1ff03e5-f22f-45a5-84aa-9c5f5a1e187a · outbound

This paper cites Hasegawa, Y.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Hasegawa, Y

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:07.969157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:46:59.963370Z digest=sha256:2ba455ad9df289d2374102d8fcab939da168dda44eb969999b69bb612246b29e

Observation 2d82c61f-c569-4534-b496-8eabc7444313 · outbound

This paper cites Pitaevskii, S.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Pitaevskii, S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:07.888657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:46:59.999727Z digest=sha256:e56f8e8f78e847385e9314126eef91154fd9569f5ae127500627581d8eca59de

Observation ca52bc3c-4f1c-4e3a-abeb-c956511b45c1 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:07.806240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.033163Z digest=sha256:758b1a402f472320950432c73f399d5285fff56aa2d27b589079f7e0259dc717

Observation 4dc4850d-fcc8-4347-9cdf-026fab208e6e · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:07.721623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.066695Z digest=sha256:254595d54306aa1f074c7eb0a9ccca383e3cda3f5db83db898832fb95d12728a

Observation 5143ead7-0f3e-4c06-b38d-4e328cd2013a · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:07.665025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.110765Z digest=sha256:9708c30f53d60d176692e3fd23183eb2b2cb8487a7c3a0e91aadc2ffd0c7a535

Observation 13038a8d-4c9d-4c6d-b764-516798306ce4 · outbound

This paper cites Yan, V ector financial rogue waves, Phys.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Yan, V ector financial rogue waves, Phys

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:07.591532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.148114Z digest=sha256:5aad1ffd81f30f58579195db7ac8c28b47ea75abf47d86195a755cb6d3c44faa

Observation 05e6c947-9832-4e2f-bd7b-ef88dcc1e70d · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:07.504762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.183019Z digest=sha256:ddaddbf05af45e6901e3a41ab3953d022563bfb3a9bd3af0c7a85d29365f5018

Observation 118ce741-e40c-4578-bf3a-9f9d899dbaf8 · outbound

This paper cites Yang, Nonlinear Waves in Integrable and Nonintegrab le Systems, SIAM, 2010.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Yang, Nonlinear Waves in Integrable and Nonintegrab le Systems, SIAM, 2010

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:07.431984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.219509Z digest=sha256:5749e100d730c4ff52ed1f8453c9d74e1e639dd22f2b6861086996ab63e034cf

Observation ae8a4508-d177-4c42-9b80-4436080f9d16 · outbound

This paper cites Stoer, R.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Stoer, R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:07.351039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.265791Z digest=sha256:314e3c28bf761fcddf3f960465e6235da8424e33ba2389b7f452aaaf5d34f62f

Observation 43c40cda-2ff5-46ff-baff-42a39cbfd5f3 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:07.270344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.306396Z digest=sha256:a626b5a0d6f17127f2dc9ea7b9b564056a27134fe1f08d6f25eac1fff49c65ea

Observation 0d0b7925-0528-46a2-8392-02d25c5cd5ff · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:07.201434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.341931Z digest=sha256:df8441d237c916a9941fa8172c7cd3e20daeba051d364cb9a1f5e1b6ee48796d

Observation f32ac7ac-96e3-4b1f-95d7-7feb944b38e5 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:07.144529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.378451Z digest=sha256:7d1494823c60bbc6681bc52c75663d7cbaaffa71b0f6fa536fc325a5c499ad5b

Observation b2e8787c-3992-4b87-9f18-1394196d0009 · outbound

This paper cites Raissi, P.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Raissi, P

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:07.112147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.421338Z digest=sha256:3529390bcc97b8b4105c6d8a47eaf83f5545c18bec049aa357c1760db43b632c

Observation e26bdfee-3ced-4295-a133-5e9987f21611 · outbound

This paper cites Raissi, P.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Raissi, P

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:06.460418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.458138Z digest=sha256:ffdd67322bf7d58949dcad41c9dc4f1467b4512b0edc7a2763c7fa6d79b21921

Observation 86b7ae7a-7383-41b5-b35c-2d28ab0c840c · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:06.392298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.509761Z digest=sha256:3a6381c07dca5fa0702b1c5846c988dce61113445ec5f4613e502614ec30f98a

Observation 24e82321-7700-4f41-bb64-2d61f93463a7 · outbound

This paper cites Bar-Sinai, S.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Bar-Sinai, S

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:06.322542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.567496Z digest=sha256:f4637bc8fe68b5832370190773ca6c13b88d25202e8e994f8a69d96ed00aab8d

Observation 080a5b47-a049-4765-b529-44d161dfa208 · outbound

This paper cites Sanchez-Gonzalez, J.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Sanchez-Gonzalez, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:06.240763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.601124Z digest=sha256:2bcbb1eef75bd662c5aa7f3c17a22adacce9c34317dd35eea68ea9e9da3feff5

Observation 0effcfd6-1f29-474f-9c6f-9de42b7b5d26 · outbound

This paper cites Pathak, B.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Pathak, B

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:06.168073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.634938Z digest=sha256:1247ad6c83757dbaabc1328236e99454db4d704f97d6051104820089828de31f

Observation 566d9ef9-6b55-4534-b43f-1fc1ccc203a9 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:06.095796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.669523Z digest=sha256:49cc8e2eb248b2cd29fd3cd33bee3fcfe6530b8ab3914a4ad538196ac863cc05

Observation 589b7645-472d-4c92-af45-9757ec4058be · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:06.016723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.703391Z digest=sha256:0f96fa3a1f0c7692e9be4d60fa7d387052fe4c38e2f3f4365d928ee36f0d71eb

Observation 5a707703-44dc-4176-8719-585819e87054 · outbound

This paper cites Vaswani, N.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Vaswani, N

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:05.943668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.747277Z digest=sha256:6722abdcf58f4cddeeeb5161a9466ff85a8b771656f0961ec1c7952efd2daace

Observation ca0c33e7-4b72-41c0-acc7-e6772c4c5b67 · outbound

This paper cites Geneva, N.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Geneva, N

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:05.876111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:00.789870Z digest=sha256:eb2e685541a021e6777f5c7a9852c290caa4d06f6dd4848c1b2ced07c025ea8c

Observation 196c514e-23ca-4609-8863-3525de9f8ab4 · outbound

This paper cites LeCun, Y.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations LeCun, Y

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:05.808877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:49.033740Z digest=sha256:9c266886ea91bc5a5cf93411138b49c22e45fa3999222e9485db2861b9533783

Observation 6e7ac1f4-97a7-41ff-8ce1-34432dc211a6 · outbound

This paper cites Karpatne, G.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Karpatne, G

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:05.728091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:49.595077Z digest=sha256:b8ba18d89a70a1a2c588a71615e7184357a5a24bca246d7905aa44601b9d139a

Observation bac3966f-2e69-4930-acb5-0ae781cf1ad4 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:05.657941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:49.663087Z digest=sha256:d8818a737dd6f78adfd0c88251c1589ab2c7dc7bbfef813af6a96b791709965e

Observation 4d1f197e-647d-4630-ad11-bbe1bb52c02b · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:05.585659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:49.717399Z digest=sha256:9293b3143715c642fa9a720343969ab6325449148e2331cd7d6938228129866d

Observation 4fb54533-965e-4d8a-b799-c06075e28d4b · outbound

This paper cites Kovachki, Z.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Kovachki, Z

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:05.512562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:49.776216Z digest=sha256:c50d477d25c2d9855246b6ab16f157a03245e4c38607ec583ad79170a9c32bed

Observation cb0143f0-64e0-44b1-94f5-db43a42a9fcb · outbound

This paper cites Kovachki, S.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Kovachki, S

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:05.435130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:49.837405Z digest=sha256:9e1a249a7a31d386d85c9ec67122a19d533206a6419e1702548094f969a26068

Observation 9244d4a5-061b-499b-bae2-c66eccb7f23a · outbound

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

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T11:47:49.918935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:47:49.918935Z digest=sha256:5f07262f349b0bf6ffa81cd357654a40ad5a30214204b3c50c55d10c3d4ba7ab

Observation 27a73b3a-a5dd-4629-a4e7-df0555725faa · outbound

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

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T11:47:49.987629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:47:49.987629Z digest=sha256:9734d6da7c69e59190a33f6db06e0e53f460466ecfdaa89ad538eab4adfa571e

Observation c65e2351-0b13-4174-82e2-c8cfd61d9d1a · outbound

This paper cites Gupta, X.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Gupta, X

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:05.345680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.047040Z digest=sha256:b40859038ad4c20f866cb1757ad40ce8e58afb3e5d154277255d304805464571

Observation 67798f36-48a1-4e99-8ea8-ed8080be8442 · outbound

This paper cites Wavelet neural operator: a neural operator for parametric partial differential equations.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-07T11:47:50.078997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:47:50.078997Z digest=sha256:f5843c2678159155a7d8e672f8cb7dc4355f9f867a7c5d78c9ee5e4c1276f817

Observation 6cf8ac43-4f6f-47e8-8434-1c8b94b7e249 · outbound

This paper cites Michalowska, S.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Michalowska, S

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:05.259694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.149764Z digest=sha256:b1f4328d8e49d9fdd1df38b24c3531ffaf6921eaaf0cfe8ed09545f912e962c6

Observation 12d28bf2-1f7e-4c69-846e-934217371f8e · outbound

This paper cites Karumuri, L.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Karumuri, L

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:05.189613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.207140Z digest=sha256:83e48b7fdff58c898bcf781ec0aa6d96388a681a09048cddce96b779a7feda7a

Observation f07679be-04e3-4c06-ac2a-4224f048e023 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:05.121212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.269942Z digest=sha256:16066b14a155e478c0c4d9b30a9f584c6fbc3ac031744e06ff77e5a28efef56d

Observation 3c60b245-f903-4a64-a840-a9c0dc056fea · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:05.044043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.310806Z digest=sha256:e02444b5cb11d75eef24dc1c14dcc775214313b84269bbfd9ddd0de0e26fc46f

Observation b9cf0aa7-4e27-42fc-a2d1-d5600ef27ff7 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.973831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.357571Z digest=sha256:8c98e015de82c35a7f511130ee63037dc82d4a470c40aeeb66e8fe5186334bd4

Observation e4022315-2e05-4b5d-9911-46bd8fe8f652 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.903654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.408905Z digest=sha256:395ddc76b46b0f99965b24fad38424eb226361d17a0e5e82e3bbba6ef787978b

Observation c0326427-3710-44b1-a391-b001cc083861 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.860853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.457281Z digest=sha256:73ebe19454e9180705d78fc1e3d75e90f8a67fc383baf7c502e098a98f8750c2

Observation 3a0b5535-f5b0-45a2-b005-8d3f5e5e12b3 · outbound

This paper cites Multi-level Residual Networks from Dynamical Systems View.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Multi-level Residual Networks from Dynamical Systems View

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-07T11:47:50.492993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:47:50.492993Z digest=sha256:89bad9931e1a2fe35b57f4fc905c031e123dcd9ee528164e29831300ff623cbe

Observation d15aac7e-1ea9-4300-85b4-81947ff77d68 · outbound

This paper cites Zhang, Z.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Zhang, Z

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:04.834378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.552502Z digest=sha256:b2f0c4a9162b14ad4ec29d66528d359bdabe47755798dcfa0e0d1fe970b1c55f

Observation ffe07b04-f7f4-4d30-8969-cf7afb21b734 · outbound

This paper cites FractalNet: Ultra-Deep Neural Networks without Residuals.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations FractalNet: Ultra-Deep Neural Networks without Residuals

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-07T11:47:50.587009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:47:50.587009Z digest=sha256:3a82d5234340a43d1ec41b94a096c0f61a35b46129762c5e4281de6b5f63db64

Observation 0e6ab3e5-95d5-49b7-b6fb-160f4557f857 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.806205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.631333Z digest=sha256:48fe8faa960d8549f7ee11b2ada10c620c2cb9e4a80166776d2a397be9fec590

Observation ace10da9-e8fe-43e1-9ede-d41814047240 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.775036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.668055Z digest=sha256:378268916e008def435d62252856d1c334d9c93a6a77d24fc02368c4315e4c32

Observation 6329a4a0-3d86-4417-a585-a4764a481a78 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.741171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.719098Z digest=sha256:b3a68917f970493ccd47df1cb9991732976cfe4d9437a465095a073ad9989236

Observation 9d634391-b689-4dba-89f2-587300e25cdf · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.714030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.761294Z digest=sha256:3a2aa36d89b74e73b178a6ebc2b403e247196b28ae250b062f7ab8c398501d57

Observation 1d12cd10-8260-4d05-b6bd-ce49001979dc · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.685304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.813464Z digest=sha256:2334cae36447b63b9ae609d3702494dc296103f15b214da0c488db1e2ed78195

Observation e5f4b704-2d58-460e-9d3d-81f615363c12 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.649167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.865306Z digest=sha256:ea7f6de555bc3e6543ef18c740d871be534a74528726988cbe8049b30f77a340

Observation 05ecbdc8-65ad-4956-9315-d076c9f68191 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.608430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.900443Z digest=sha256:35b768fc400a785eec60fefbe528875027cbd07a34af233fb3c4075dbe4186b3

Observation f2e7ccd8-4f70-4e09-857c-da2aaca5d2ba · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.546457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:50.938832Z digest=sha256:297c9d383caa5a0d1ec269f94bfa9e833dc9bb9ba803fea8d26b7c2714e40364

Observation 94fb9578-762e-4911-9244-4bb71c944f0d · outbound

This paper cites Adam: A Method for Stochastic Optimization.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Adam: A Method for Stochastic Optimization

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-07T11:47:51.014167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:47:51.014167Z digest=sha256:45c065129c9375a03798dac3a3c398a3dca6cf35eb5269fcee2d81027d2fb3e0

Observation 6699293c-0148-4a0d-8655-e967bb1d483a · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.512293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:51.089260Z digest=sha256:dec62ce5068e2bb5ebc862088c5248535d64c4518e702260c8b354ff53078f86

Observation 278147cf-73b5-4f78-9ca3-aa1b70c533a1 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.477592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:51.170250Z digest=sha256:1a02dd25f12f948d61c508628267db4315996c01bedd35b263aa51ce09d06db0

Observation 17948a3f-e246-4f36-ba7b-b045139e1c04 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.441846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:51.261636Z digest=sha256:576735dcc3b237250626c08480004278046f4af612befdf73ab3b709718ec733

Observation 0376d904-afee-49c7-a764-85cf899c95d3 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.408030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:51.388436Z digest=sha256:ca656e6f845530edf12c1344befeeb643c92b68efd2365dc25778243ac055d93

Observation 0d2f1e39-4f72-4aaa-a219-0ec043ab3a28 · outbound

This paper cites V ervloet, F.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations V ervloet, F

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:04.374108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:51.488110Z digest=sha256:d1dd163aed4e4643369a9d3d72f833a93d1be7e0b87b6219ce7acecc9ba6c165

Observation a4aa0bad-f915-4136-8b1a-d3c75e8b28ce · outbound

This paper cites Halatek, E.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Halatek, E

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:04.342370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:51.573644Z digest=sha256:1c93804eceffb162aabf8c9bd3f62e4966547f2e8aad9f4cd44b6b92ae09e0cf

Observation c05d3084-9c3d-4372-b4fc-642fc1902417 · outbound

This paper cites an unresolved cited work.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:48:04.312108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:51.660008Z digest=sha256:f79dfd706ef40f1bfc07082d8b46ba9f1aaf431cc426f11852f69d24d4fb64b3

Observation 1a7039c2-9600-4f9d-b2a0-97e439407745 · outbound

This paper cites Bruna, B.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Bruna, B

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:04.286373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:51.767372Z digest=sha256:d476403bac029ee9c508289ab7e4416faef9f553b96e47ef98f799c4229bfea2

Observation d0c088f9-ebda-4ebe-ab0e-8a263c104388 · outbound

This paper cites Griewank, A.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Griewank, A

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:48:04.253933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:51.800010Z digest=sha256:241ea3ae5e8fb852a5c38e1c30c2d8a67be1d6585de7ad39032e69ebf3db193d

Observation fbd01193-e5c0-4248-8811-7aef4b5dc84c · outbound

This paper cites Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators

Reference 64

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:47:51.987662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:51.822844Z digest=sha256:e00566f088dc978285e3db9aa4623599cc85ad8213baf48cca0879c48ebb47bf

Observation a674a528-66b7-44ab-918a-30b98df80bc0 · outbound

This paper cites Glorot, Y.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Glorot, Y

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:47:52.196149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T11:47:51.860778Z digest=sha256:34b19c9abe21c6430336129a22c3f30d6728d9e06dba56e1c422c9ec43e602f5

Pith citing papers

No inbound Pith citation observations are available.