Paper Citation Record · LEDGER

Scaling field-theoretic simulation for multi-component mixtures with neural operators

As of 20 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2412.13415.

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

pith.paper-citation-record.v1
2412.13415 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:13:27.822310Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

37 of 37 outbound references displayed

verified exact4
verified fuzzy25
unresolved8
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b918f677-0ee7-45a3-8cdc-fee4d654a473 · outbound

This paper cites an unresolved cited work.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:13:30.188951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4e6322bd-a183-403c-ac4c-01977c0e7480 · outbound

This paper cites Neural operators for accelerating scientific simulations and design.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Neural operators for accelerating scientific simulations and design

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:30.164883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation aae679fd-5eca-46e3-a345-f643aa72bfc7 · outbound

This paper cites Brangwynne, Christian R.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Brangwynne, Christian R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:30.101081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2ada1f20-f7b7-492b-804b-4d8103606688 · outbound

This paper cites Physics-informed neural networks (PINNs) for fluid mechanics: a review.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Physics-informed neural networks (PINNs) for fluid mechanics: a review

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:30.036242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 703ee04d-acaf-46c8-9521-32c0d496ff03 · outbound

This paper cites Ceniceros and Glenn H.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Ceniceros and Glenn H

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.927580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 53e05199-8235-4361-b1c3-3c3c503839e7 · outbound

This paper cites Delaney and Glenn H.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Delaney and Glenn H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.818415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1e79eac1-604b-49e9-bf70-754eb6b05ff6 · outbound

This paper cites Non-uniform random variate generation.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Non-uniform random variate generation

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.759016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a7e9d577-35c9-4e2c-b54b-6771c75a129c · outbound

This paper cites Delaney, and Glenn H.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Delaney, and Glenn H

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.737360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c249bca4-197b-45cd-9fc4-e58c72199d98 · outbound

This paper cites Physics-informed neural networks for solving Reynolds-averaged Navier–Stokes equations.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Physics-informed neural networks for solving Reynolds-averaged Navier–Stokes equations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.712987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d6c51c00-e40c-4183-9212-5bc84ecf6fbb · outbound

This paper cites Fredrickson and Kris T.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Fredrickson and Kris T

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.685600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation be65c6ca-baa2-4465-ae96-e77693987eab · outbound

This paper cites Fredrickson, Venkat Ganesan, and Fran¸ cois Drolet.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Fredrickson, Venkat Ganesan, and Fran¸ cois Drolet

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.663360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b8a5476e-0017-433a-8daf-afd688b47e62 · outbound

This paper cites The equilibrium theory of inhomogeneous polymers.

Scaling field-theoretic simulation for multi-component mixtures with neural operators The equilibrium theory of inhomogeneous polymers

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.627682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1b7ffb40-bcff-4455-8ba0-9b7901aa0ceb · outbound

This paper cites Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.600587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b8806558-9582-4e51-9a9a-828472b8ec7c · outbound

This paper cites Kingma and Jimmy Ba.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Kingma and Jimmy Ba

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:27.554872Z

Source-reported events for the cited work

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Observation f5c73c2d-970a-4a55-b462-83e1d0e8a0d4 · outbound

This paper cites Neural operator: Learning maps between function spaces with applications to PDEs.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Neural operator: Learning maps between function spaces with applications to PDEs

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.535148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 87838f39-ea9d-4e53-b103-d71f11de793e · outbound

This paper cites Characterizing possible failure modes in physics-informed neural networks.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Characterizing possible failure modes in physics-informed neural networks

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.423361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8e85bac7-8684-4bbb-a18c-fffda6930599 · outbound

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

Scaling field-theoretic simulation for multi-component mixtures with neural operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:27.571342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 645b10c8-0d62-4063-89e0-9f8e70e16182 · outbound

This paper cites PDE-Net 2.0: Learning PDEs from data with a numeric-symbolic hybrid deep network.

Scaling field-theoretic simulation for multi-component mixtures with neural operators PDE-Net 2.0: Learning PDEs from data with a numeric-symbolic hybrid deep network

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.385214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d74d0524-f882-4cbf-b976-03726c587b53 · outbound

This paper cites Jagtap, and George Em Karniadakis.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Jagtap, and George Em Karniadakis

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.347457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 323be61f-c50e-4f59-b626-2b5fde5b4099 · outbound

This paper cites Delaney, Scott P.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Delaney, Scott P

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.291063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4b91144a-0f9d-4b96-969b-7d486f917df5 · outbound

This paper cites Misyris, Andreas Venzke, and Spyros Chatzivasileiadis.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Misyris, Andreas Venzke, and Spyros Chatzivasileiadis

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:29.209689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d1e68f0f-1d4b-4629-9054-51ce9010010a · outbound

This paper cites Longhini, Xuemei Zhang, Kris T.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Longhini, Xuemei Zhang, Kris T

Reference 22

Resolution: verified exact; doi, observed 2026-08-11T13:13:28.079342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1bf92b97-5e93-4b38-844f-fd3822018daf · outbound

This paper cites an unresolved cited work.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:13:29.121196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 36d28542-91e0-43b8-ae23-ddb90d8c93fd · outbound

This paper cites Coacervation drives morphological diversity of mRNA encapsulating nanoparticles.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Coacervation drives morphological diversity of mRNA encapsulating nanoparticles

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:13:28.167425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bfcd2999-4f98-4782-b69d-d6b42fc79745 · outbound

This paper cites Popov, Jonghoon Lee, and Glenn H.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Popov, Jonghoon Lee, and Glenn H

Reference 25

Resolution: verified exact; doi, observed 2026-08-11T13:13:28.017613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 43841ff5-28a5-4726-86c9-d9e2e34a20e8 · outbound

This paper cites Raissi, P.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Raissi, P

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:28.805512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7c2f86ed-d24b-4964-a282-56be4af9aedf · outbound

This paper cites an unresolved cited work.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:13:28.778832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9ba6e7a5-ee53-42a5-b42c-81e3f01f7e34 · outbound

This paper cites an unresolved cited work.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:13:28.714332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3476ccb2-ddb0-4304-bb91-57bdaf4e0314 · outbound

This paper cites Rosofsky, Hani Al Majed, and E.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Rosofsky, Hani Al Majed, and E

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:28.644402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 00982b96-3737-470d-83ce-f98afa5537f0 · outbound

This paper cites an unresolved cited work.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Unresolved cited work

Reference 30

Resolution: verified exact; doi, observed 2026-08-11T13:13:27.952892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ffe2d19e-254f-4f9e-916b-68264aae4924 · outbound

This paper cites Sing and Sarah L.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Sing and Sarah L

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:28.428484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation de580e49-c9dc-4684-851c-4e7b9fe75bd7 · outbound

This paper cites Brangwynne.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Brangwynne

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:28.539116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c58402d5-c6c7-4ef7-a31d-a5b7630dc6c9 · outbound

This paper cites Vigil, Amy Zhang, Kris T.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Vigil, Amy Zhang, Kris T

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:28.334686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b49a6b74-3809-4a91-84e0-5c19250eb3d7 · outbound

This paper cites Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:27.674235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85a35a08-1cc9-4d77-a5ff-b8a67f99981b · outbound

This paper cites Delaney, Hector D.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Delaney, Hector D

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:28.253723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a9d1ae9f-cc80-4e50-b16c-d092c0079eff · outbound

This paper cites Villet and Glenn H.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Villet and Glenn H

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:13:28.285341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 96949c45-05b5-457e-8706-b3130a84b60d · outbound

This paper cites an unresolved cited work.

Scaling field-theoretic simulation for multi-component mixtures with neural operators Unresolved cited work

Reference 2002

Resolution: unresolved; no resolver link, observed 2026-08-11T13:13:27.539361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.