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Paper Citation Record · LEDGER

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

As of 9 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:46:59.841695Z digest=sha256:e9a295f74e1dd31670b806567d60c9fca30990f4d6d0f329f54d723bdf1252e0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:46:59.881223Z digest=sha256:48b1ab4117a6873ba064f48d089b8abcae0fed944a4f3bdf909dda71f230f0c0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:46:59.916950Z digest=sha256:3477c5dc4b787716210b4bbf719550fe1ec0a09e464a5a0a6ea6318103b4bada

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:46:59.963370Z digest=sha256:7c633a6d404e1bb87c04f634a45f10fd749b8f918e158a0bcaaaf4a53ee8a31a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:46:59.999727Z digest=sha256:67e18c2902a9cb1155468f5fa0e03eda1c548a16c93151abfab32d0c016bd395

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.033163Z digest=sha256:9740f5c1413527ec2f4c201b08f819cd278dd2004a10130ebaa5ca1ea1c46ecb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.066695Z digest=sha256:812f3e620745a8c25aeaa8f88a0cee1b79d9ea387837b74fc402a19d729a0f74

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.110765Z digest=sha256:e638329ed7008424f44c1cb15ac3a636ab6f944c07deafa7cf7442a28f910e87

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.148114Z digest=sha256:570870c87e52cac9ced86184012207ecbf51f208f130041efc1af29a73a4891f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.183019Z digest=sha256:bc458f3677d0b0c3505f6924ffbb37394b29a3a24f68a8223b968fd3e7e068f6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.219509Z digest=sha256:ed5812e79fef4c8e3d66fa60547c48b0ba173f07c1063e1539b7a410bc939547

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.265791Z digest=sha256:71bceb8b7c76c38b43fdf086e0a0414c42237f8caf62bb4762acb9f39c5eef03

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.306396Z digest=sha256:1e793c12fe99b08f5ce86374663f2e92e548c73b450840bd587abbfb35ffd09d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.341931Z digest=sha256:ef474f5dc86525839c73db9f23bb1249781d73f82b1e63fa53b64e20a20b92fa

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.378451Z digest=sha256:5e1f7d365ab5e080df9c2ab40d5f4baed198a1b13e5c986dee56283b255a4392

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.421338Z digest=sha256:a0d53e3ed28ef2626495c203670f23c044f8c937d26a1c7d5322f412bd2ed3f6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.458138Z digest=sha256:33a76a29d5dc39d29653dd6e2001634d6cc64053bd65a383fea13b4e6ddb4879

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.509761Z digest=sha256:bbee8293145f9e714bcc9799ca5943bec31b210aa8d25b8236a5094d19adcbe8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.567496Z digest=sha256:74053cb8fe90c1035740aba337fcbce719e1aa847852fbc8096267c13cca19de

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.601124Z digest=sha256:ea761b07680652afd9935b3e88ccc63533b7a8b39f6793ac2f8a1a43ea04aa20

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.634938Z digest=sha256:9d77d5aebfa6aa9d31018d145a880c77269e3554891d7d435143c311a6eb91f8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.669523Z digest=sha256:ee7cd79d6b2b3d644aae06b03d5acbf64ed619bd7ec6b1910677611cbb9bd272

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.703391Z digest=sha256:37226f2ef9c83e163fa3ac81b27adb779c57c2d553cd5025aec9ad64692216cd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.747277Z digest=sha256:44210b322cce15ed55af6e1b7bfa9ce012488ef547eb3f2d1175914f56614ff6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:00.789870Z digest=sha256:489c94b57e30f9f6dd7ebf7b33896857f445ea61e0365101989d6a2e2cb64ac9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:49.033740Z digest=sha256:3cf0f96467c2e24187f391e5d8f94a7d5c8ffb4c0ae28ccb18f95f79ce518fed

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:49.595077Z digest=sha256:6ba5bcace6e85d47694f8e3425136490e9dcdf8a01b7f60a6ece364481b26409

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:49.663087Z digest=sha256:62ceca597153c09fba5e079dab01600fb69c77f2bb134feb3c7bc2029566b4b4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:49.717399Z digest=sha256:9f4d9ce86abeaf07bfd3094ee251e0d73cbafd13f2b35f24460e7bd953321f0e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:49.776216Z digest=sha256:aad0741893e3cd37eef18684f50c325c62cbf9eb790530c72efbd68574872062

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:49.837405Z digest=sha256:ecc19a7e4397c2e22f0c75a77f15e43cb5da68901db54e72d1db4f4d6cdfbc89

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=sha256:9510c5debc010b439997153a97b4b4d9ffe7c681f92ef6216ee43fabaeb22df5

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=sha256:0be3aaada37bebe132bb636bcfa887394c6fab9b1118a7491af2915a31a7d910

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.047040Z digest=sha256:ddb8f9d58febbea106d84e358ca9ff7540d6c5297d72b47f17252a61d8600727

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=sha256:9ef165f73531a2bb15651497608cba2fbb860dee8d14dd830bd4bb0440935123

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.149764Z digest=sha256:b209656ea3355674eb634eb5314790612af37fe78e6aacc5c84f1bc9be4a0ba6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.207140Z digest=sha256:3e6d34d0f5acf5edd857e455768e3c13b7be0c44281b6f26a39d6824c7b82e1c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.269942Z digest=sha256:49f16fcf57421665748911963ab9e11a0289d5d529379789e43aa28e8eed8874

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.310806Z digest=sha256:6201a5bb2dbf198ed75a62552ef379c9535eb1b8e70190d3388d56184a9987f7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.357571Z digest=sha256:5edf005dc98f54242abae781b441ee628ac43924425b81639ce3cf71318b9b53

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.408905Z digest=sha256:202a0b19126cacc8a6336132e83b0604a656aa3371d84749ad6b7b319e19f187

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.457281Z digest=sha256:594f4d6161f8690672cac94a003bd79ba9b49d45c1dd9598a2f18626d6b6484e

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:f30fcd13181252e9b56056033afadc4b20bd8a6eb06583a3500fed0a4080938b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.552502Z digest=sha256:cd5aa8673788284ccd931bfa615d6360ce22a83b3f8bbc51d0d4a112be3de209

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=sha256:961c5044b95c1f1b1943d6b0be24e75ac5c75619ae86202b36cb81ad63c11b08

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.631333Z digest=sha256:91e444549550f9aad3a6b08661a2352e60f5d2ec93fae2994fb2d9dd4714a976

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.668055Z digest=sha256:eb04401128dae597880e9adac09a35d97ab3513522dca867c3b6224566ecb35d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.719098Z digest=sha256:7815e557155a6b70cf4e071286981eaa5e721dc899a5e30a72591ede4d453448

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.761294Z digest=sha256:72da72af8b2a49483b8996abdeeb70cb18608c32106e9f6667f462df689ab58c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.813464Z digest=sha256:f44e91cdcae74db2f6dd34b5b726288da0a547f95d8fb7cf8befc60b23be8bcd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.865306Z digest=sha256:4805be6abc4161e5e8fb11963a8b90b1a5518e12604a9d66189ddd0edf01fa4f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.900443Z digest=sha256:1848d19fb96f41cc65fb85a0172bfc7f67d5c39adc3b697b96583a741c4b57b6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:50.938832Z digest=sha256:945f55bee3468dcd8a15fc9a5399ac80a87707640f6aff0f8aab244de6325c0f

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=sha256:132178e2ce01c1eeb271f3192a5b1326d5cbc742444e291be688deb0df760c88

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:51.089260Z digest=sha256:4befeb21f09a4f79c8f92e9072047b3589eddd5918fb5f654062978ac0d657a6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:51.170250Z digest=sha256:94e757289f3375ff4f5ef3069406b916679686fe2d276f3b30a8eb7add8539ce

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:51.261636Z digest=sha256:8af842ca36d7a23e1233f9ea779c56795ec0b7e722daa3424ecfa1a95e8df04f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:51.388436Z digest=sha256:c81eb686337b9872455193501b37a438e4d34c2d3e8e4c85407352ca14697d1b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:51.488110Z digest=sha256:01c7f72085017d10f948ff9e1ff351fdc6884b4a76e72aeba4d846bd6799404c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:51.573644Z digest=sha256:7cffcba0e55f9a551a07782d4b140998ea1feda782cfa0e402c0fb60a3692533

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:51.660008Z digest=sha256:ddb305fe8cd7cffb717d79adde427fdefc08b54db9fa6e5b5b87d940e8b2e5e8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:51.767372Z digest=sha256:b32ea0b6036a8cd573995cde609678f78a10ab8bce514ba05a157f101df6025a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:51.800010Z digest=sha256:f1dd1e6a3fd802c2324c499f54fde49f9ffee3de9793210d99cd9c05adefff2c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:51.822844Z digest=sha256:ecbb60ed4a2a48a049fcbf7b5f2dd182288d3acda7e19fde2ebcf452176a6771

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:47:51.860778Z digest=sha256:4ff5e8c723d0e4537fe38c68782a3a871528c3ea1be2c57639bf980f41edcd6d

Pith citing papers

No inbound Pith citation observations are available.