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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

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 2026-08-07T06:34:17.273281+00:00.

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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:46:59.881223Z digest=sha256:a3fe88dd61dd6688ec93bbebdfa38746637a1a6e51e1a7c8758f0b48bbf8c380

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:46:59.916950Z digest=sha256:78b8ab8cc409125d1dbee31257c4194dff500fb6b297b6f7979e7b0009b0c3a0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:46:59.963370Z digest=sha256:493e5e6abfa138be5dbebe32f30368c17e9c4c96343c7bd4fd3bc66202faefc3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:46:59.999727Z digest=sha256:87ae0920cf0d49eb5629558193a98b50edec6d39c4cef3b6bc78e0d08fce06c1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.033163Z digest=sha256:599d1ce934e219cf3a62370ca662a7e3e02775eb5c89b1fe1f881745b808cbbb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.066695Z digest=sha256:54aebef91cf3399f5ab77c0a10ac2801b1a171ac9eab2675b7c04c12550cd46b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.110765Z digest=sha256:2b63777d9067e233667a7e7c0b085701ab467e68761baffe7a73d0e52f2d59f1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.148114Z digest=sha256:56b6b33b3aa784c38517db8f7069d6a9ed70a9e0f389bc66759a40c4b36208c0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.183019Z digest=sha256:81ed2ac9719c7bd0bf84015bf1f1b6b6fa169d69c15313485887b79b3524e667

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.219509Z digest=sha256:5642cc21b37139a6b50d99ed84c3fe599964f8a3e4f1f28727bf02437d516026

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.265791Z digest=sha256:780842ebcfa9935d124a8f4d124917f259f4e6daa146e313b5753e496d12b492

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.306396Z digest=sha256:f32bc0d86d227b5c0533d65083f046d3c6e65512ee113490bde3bf23c541f688

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.341931Z digest=sha256:68f13852b38ee159f8e00968d7d7003c8fc4a459155836be2d2816a05af57a6f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.378451Z digest=sha256:9287427b3d2375cf49514a43bbeaed7a13e389bf50c31068d23a563499a79490

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.421338Z digest=sha256:8cd4e289ffdccd28d1e5bff3ed3b624483341f307d7874e1a868c8efd9277d5f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.458138Z digest=sha256:8ee802586c8215647c7e29cf56398b503316068c15ea71d11c2b62db764d4fc0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.509761Z digest=sha256:0bad2f945cf78045a69f6f1d95e543ecb0d91fac3932927598ff1443daeddb6e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.567496Z digest=sha256:7614992a9ed90b80728d9132fc17c90d6226815736864f3d0da5a9aa4bbfcf0a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.601124Z digest=sha256:8b11336303a9f9f683be9c71237a9779c44a52d8b7d2b56640711dace08094c6

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.634938Z digest=sha256:81f5d52f1ec4774f5620db3bd3a4eefe975339698d7f53162160d6083127ff8f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.669523Z digest=sha256:3d3cf88213bd67910a1d70b93512109d9e388044d87f3c23a34d6b32d55eeaee

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.703391Z digest=sha256:6e6f2d43c99029e0e60e3959b814741c5f8d70eb0b2c014a67940bab58e137f2

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.747277Z digest=sha256:77b0540ab5dc2334ad4204032699b299a45ee5c9d5fde7c4557236ef886d57bc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:00.789870Z digest=sha256:a5b18846fa57b632a48c063b51cd2eb2d9fb7dbfea898b57d89780c0a956e58e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:49.033740Z digest=sha256:f2f0cd829a4445cecc0e98ff12b8a10bcce37aa9727ea9d8303bb9c9346beca8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:49.595077Z digest=sha256:bc0c171406d64715ce1eb865f17c6f76f30ae376c111b2f1daccd7df9c1b76cd

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:49.663087Z digest=sha256:c1f9f21b802ee6c0de2238aeaf290a19c613d4a08053c3118808157b02e3f711

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:49.717399Z digest=sha256:663828e43a61ec69c472672e9a61416a7985469f4ab2c7929d1c46796c20fa45

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:49.776216Z digest=sha256:938f1a538f3381f8d37aecc65c8e53b3b5b6883717b4620c4534efb0cd58ef31

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:49.837405Z digest=sha256:674175afa5fc52f8c841749f656c13c3c67cf947cde3602dbc4382f5b6f5ecf5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.047040Z digest=sha256:55e84833d10853a81e607f71be3247dd9bb0f02f3f912a63d5cffe311d68d3ee

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.149764Z digest=sha256:02a5bab83dfed901bfab294789d37cc841b5b11342a84dcf87bbc4181e1d6ff7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.207140Z digest=sha256:7822a3110ef4e48adbf296c423b97c81f1c3eea82158c4cab9213cd14bc03961

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.269942Z digest=sha256:8a12b8c358f7fbc40e5ee85dc66fedff69ed86bf170d798362ce89a2ebdd4aee

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.310806Z digest=sha256:f1697de5ce07a37837525324617d8be3df54b93bd5b47fa4e2dd842828c5d042

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.357571Z digest=sha256:cf581a431e50cde6ca3fe06c6f7b5760110bb4609d8c49e1005153c1c02298a5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.408905Z digest=sha256:c8c82740342bf67e91025ec2af1c5ae6d250ca923f01a2413585d31d27ff41c9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.457281Z digest=sha256:8b8ddebde6442c738231fc0f785ddf7d9b269946056b3c31a779207495277f93

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.552502Z digest=sha256:2560784b6259aed0d7b9edda16aab7b0030d860a9347935786a50833fa945ee6

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=sha256:2cc239b80f14ed878952b70d7e0873b07127d78c08bb57516218c181ec452269

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.631333Z digest=sha256:7c5f5bdcf5baef576c334e9d9a90f3f9ff6c680ef6355735abb846c5a5d4a2c8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.668055Z digest=sha256:bfaa6537d85392984e01daf35737958707e68dddcf8e06d0095ac69a11c03c9a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.719098Z digest=sha256:15bcc47ab7b637bd86f930f36f9af78718fbf21ac846429a593c8846df6b1dcd

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.761294Z digest=sha256:d79bdd2e9b0741a234a70e10898fb5235c198c17b8643fd42fdf5b54c761f8d9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.813464Z digest=sha256:73bab73a65cc74ada0fce6f80844d5a54118eff21726b958575087dd70177ae4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.865306Z digest=sha256:3f621682d7488dd8afd3c4e3e7234baab384170401000206ee731a899a1ef2fe

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.900443Z digest=sha256:b0c5841f65f2dbd02efbd3f57382a4b7146b593596c1dcdeefed053fa1ebc2d3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:50.938832Z digest=sha256:f2f6b0e9dd872ddbd63be9fd1ff5e93520af54693a6de092ff9d158ce6f2bea6

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:51.089260Z digest=sha256:26e9a2164f0f842d952f8a8a485cc1b86204cb5376a888cf891a489185c17aa8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:51.170250Z digest=sha256:9ce1635eaef924c9d528b76b0556520de4bffc42349e88fc9270d0edc1d285e0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:51.261636Z digest=sha256:26df5c9f87c25ea91ca712ff4980bca43a4a300a9e24b0cd02cf0c898fac4bc6

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:51.388436Z digest=sha256:610b952ceb69782ef7f8f4eec6e2ae9b305ca715b7e47a6ffe06d428e87044e5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:51.488110Z digest=sha256:4b4123475da61a689fe09ff5fcbc0ae6f868f9ebabd144fab37c0d4c2a345f48

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:51.573644Z digest=sha256:d395fbdbdab90a9695d5d26d784a80454b569f99b13282229a6d210f29b7f1fe

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:51.660008Z digest=sha256:0a7e9dcc3f298780f49a9da3f59b7ab73ff6ed3a0eecb3254cd076942f23948f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:51.767372Z digest=sha256:9a0cb1905dfcd0bbcbacc0d3f1abe36cd596077eb47b75d95c142295571da8dd

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:51.800010Z digest=sha256:00b987e8e31995edef00b141a71e1523599a043cbe3a6a3d3e26fde859021e84

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:51.822844Z digest=sha256:44643900d635d7d2c39d70910b9fe46dd778664e9f70e8d5609add3c48ad8d6b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:47:51.860778Z digest=sha256:6d0d2c6a1090b188a297376dd19c2805debe708c1e112ed68edd26d3700d4bbb

Pith citing papers

No inbound Pith citation observations are available.