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Paper Citation Record · LEDGER

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2412.05920.

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

pith.paper-citation-record.v1
2412.05920 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:18:12.336503Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

32 of 32 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b0a57e20-d175-43cd-a751-f7bf4b0cddc1 · outbound

This paper cites merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T20:18:12.160689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T20:18:12.160689Z digest=sha256:06a0314a8a9dc9e860c1033edd8525eedf96a20f5c8e6edbe0a53466313f8008

Observation bb49d147-ab7a-4ec1-987f-2072d5be47e5 · outbound

This paper cites merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T20:18:12.168644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T20:18:12.168644Z digest=sha256:bb2a0f2ddd3a0138686df88529a2dceefe4f3c8f721455a69be9e61877704850

Observation 75c09786-7230-4224-bff3-3fa2724ffacf · outbound

This paper cites merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T20:18:12.174653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T20:18:12.174653Z digest=sha256:ee902eb632e008e3fa80cb738cf6492d3678940bb2d28969802128c53f465425

Observation 116ec694-d4ac-4f60-a0ff-3d029a5e3113 · outbound

This paper cites Ladoux \ and\ author R.-M.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Ladoux \ and\ author R.-M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.903413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.180515Z digest=sha256:76f95c4bbe10661469130a13ee016c7e219dd14c01808a79dbd901ddd1423e4c

Observation 94e7d8f4-b950-42eb-b531-5b49d11b9c87 · outbound

This paper cites Mueller , author J.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Mueller , author J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.886562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.186779Z digest=sha256:6c4eb40e78d7bd7ca140ed0e5641d230dbfb87d9e8ce66500be6c1b833909a4c

Observation c0c723db-afcb-40e7-9212-c39de72e65b0 · outbound

This paper cites an unresolved cited work.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:18:12.870720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.191973Z digest=sha256:3d740fc09b1842adae23438b9b74000f402b6551fd0aa793cd4c471c6acaa6aa

Observation 4c973073-22af-4687-8f94-4d1f41e73c4a · outbound

This paper cites Moukalled , author L.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Moukalled , author L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.854789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.197259Z digest=sha256:a8a092272fc6bafec4478192151e158c3da84cc563514cc3b0bec781cb693323

Observation 1429dd67-e1cc-42e5-8e73-42ac607d57a8 · outbound

This paper cites Thom \'e e ,\ @noop title Galerkin F inite E lement M ethods for P arabolic P roblems ,\ Vol.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Thom \'e e ,\ @noop title Galerkin F inite E lement M ethods for P arabolic P roblems ,\ Vol

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.839557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.202092Z digest=sha256:74d52f219979fb941f8c27067da51d8cff1777e50eedd538548e7796228a859c

Observation 2e0e0be0-5423-4ff6-a790-1f94fde0a5cb · outbound

This paper cites Goodfellow ,\ @noop title Deep learning , \ ( year 2016 ) NoStop.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Goodfellow ,\ @noop title Deep learning , \ ( year 2016 ) NoStop

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.823463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.206815Z digest=sha256:e4bb11d3fc1a65f9a40d6654872cc2e352b702489cb0450c1496899283ec35cb

Observation ae56d0b0-58fc-43c3-bd23-ff2a7ffb7efe · outbound

This paper cites an unresolved cited work.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:18:12.805938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.211991Z digest=sha256:de2050a75108fff195abb2379f7b89f24e969173a0ce2c99b4a82bceef745cf1

Observation fe7c6d67-24c7-49bb-94e6-b4ecad17d04c · outbound

This paper cites Han , author A.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Han , author A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.790295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.216927Z digest=sha256:9fee3c7e6badc498429171af47b70b566bf19bcb49f71d567e8adab0691e19fd

Observation 041780c1-b217-446d-8031-ed9e9682898a · outbound

This paper cites Han , author A.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Han , author A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.773920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.223562Z digest=sha256:498c17f3e5ba1b2e284686f554794760b8c4bf9127db892f43fca6caebd3a30f

Observation c221bf00-4605-4bd9-ad9b-193eca396b19 · outbound

This paper cites Yu et al.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Yu et al

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.757378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.228682Z digest=sha256:e8984c032e62935f2f8877d4090a86f5f3e56a5e250144c6369d9bf97e369e8d

Observation 75fd4915-4810-4cbf-9f2d-340ca3f1a81f · outbound

This paper cites Sirignano \ and\ author K.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Sirignano \ and\ author K

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.740235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.233732Z digest=sha256:67c2ac1369ffe975076da52527adcb170b78af2d3376aae61edd7f0bca416333

Observation a8eff68b-8cea-4e60-adec-ae0abf48fa85 · outbound

This paper cites Zang , author G.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Zang , author G

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.719754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.240061Z digest=sha256:cce0d87b898f3db33adc82dffef079060ef1c5c4b1597bdcddef62b625be9d5a

Observation c07b90cb-b0a5-4f84-a60c-7c059b3e15ee · outbound

This paper cites Raissi , author P.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Raissi , author P

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.700570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.245052Z digest=sha256:909e3e8eca10ffe37a4b5a2e255087e1e17f0789506792c28937902e8746cb63

Observation a05cecfc-c749-44cd-9bb9-2f989b5c2b4e · outbound

This paper cites Weinan , author J.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Weinan , author J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.681598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.250741Z digest=sha256:a989bb3d5fd883ca31fdf6e2937ea6dccbd2e51cb55c79df27b092af3ddc844d

Observation 3178db0c-773e-4e05-80cf-51639a2d9dde · outbound

This paper cites \ Huang , author Q.-Y.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells \ Huang , author Q.-Y

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.659120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.257016Z digest=sha256:852d711a03fede3ac58c95504ca624f62e04a769272f96d3bac6ab35ecab2903

Observation b8d3a2c7-02e9-4e94-8c2c-663336f372c5 · outbound

This paper cites an unresolved cited work.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:18:12.637069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.262783Z digest=sha256:700cf95fa88964f7d8c82adae5588400b7fc384f6eac6463161df2ec9d2b3998

Observation c38511ae-5b28-4c04-8f7d-ec7f9bd06e2b · outbound

This paper cites Rahimi \ and\ author B.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Rahimi \ and\ author B

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.616900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.268170Z digest=sha256:223a0c3fe1561534b7540b9d6a7dbded1090c6b31c3613dbd4bad9ef83592660

Observation 943795d9-b73a-4fbe-91b5-2f186f8a8bdf · outbound

This paper cites Huang , author G.-B.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Huang , author G.-B

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.593701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.274843Z digest=sha256:126476577811797b1ff561890021d11653fed9a7e8fb6eb0614cdc538f586259

Observation 95e516ca-834f-48b9-8243-2246f4883640 · outbound

This paper cites Chen , author X.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Chen , author X

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.573351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.280684Z digest=sha256:a3205924f1ced582bb33bd3a0f91ad895afb71fe9fd87fe92a62156b7e2a8a3f

Observation 8670a177-b350-41d4-9e3a-2b31b947cbf0 · outbound

This paper cites The Random Feature Method for Time-dependent Problems.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells The Random Feature Method for Time-dependent Problems

Reference 23

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unresolved
no resolver link, observed 2026-08-11T20:18:12.285708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T20:18:12.285708Z digest=sha256:d80a2f71d8d963e731ea50479738eb6e65e544cc22b5f07cd13eede8fe28c0df

Observation dbc83b58-114c-4417-b823-17ec03835a6c · outbound

This paper cites \ Huang , author L.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells \ Huang , author L

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.553121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.292023Z digest=sha256:6ea141d3bb06944a63c779d722386d0ce539bd3ba46939fb95446c040aa5c093

Observation 349aa943-7469-4751-bf23-a9c8a63c1c09 · outbound

This paper cites Dwivedi \ and\ author B.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Dwivedi \ and\ author B

Reference 25

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verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.534046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.297906Z digest=sha256:07e2903e01f2c6ca328114df121dc733482084610274bd23e868259d4be80f1c

Observation adc1b541-0ebf-49ca-83e8-20eb9c926477 · outbound

This paper cites Calabr \`o , author G.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Calabr \`o , author G

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.513032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.303846Z digest=sha256:af107fd4680731fae2ce719fbf9e6cbb40f56b23831f95425c063aac7d2576d2

Observation fb57a515-732d-4ad5-b7bc-85f8e472dce3 · outbound

This paper cites Dong \ and\ author Z.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Dong \ and\ author Z

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.494175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.309213Z digest=sha256:578215b8d595361174509c531a6d1e027e3a2bea2da2aa22c342e922e3d5589e

Observation 2b8ae46d-71ff-4f52-972c-0728abe55da0 · outbound

This paper cites Fabiani , author F.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Fabiani , author F

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.476035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.314346Z digest=sha256:984811f8d7c36e02b124b5f452c74a886ddaa53f0fbb4d8eec96fdc931f11f47

Observation 7cc151ed-62df-4cd1-9f56-9581af218c1e · outbound

This paper cites Yang , author M.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Yang , author M

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T20:18:12.456063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.319906Z digest=sha256:5a471b6f0d22f62e13b1e5a710a2fe2ad093aea407fed9985242a7e51ace8572

Observation 42af152e-7652-482f-bff1-d6da483f2855 · outbound

This paper cites an unresolved cited work.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-11T20:18:12.435383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.325065Z digest=sha256:d026a200c7b374344ec2dc9eda8bcbdd635fbe9737f545eccb61518288e43d4a

Observation 0cb9034b-92a8-4bc3-b175-e10125ce0254 · outbound

This paper cites merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-11T20:18:12.330619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T20:18:12.330619Z digest=sha256:cee4c0a430f6fc1045f258e557fcfb719b100b1e1f2273b567053b10c5d12019

Observation df7dde71-53ac-4a89-b14d-2a7b1ae3dc84 · outbound

This paper cites merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Runge-Kutta Random Feature Method for Solving Multiphase Flow Problems of Cells merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-11T20:18:12.336503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T20:18:12.336503Z digest=sha256:d271a5f7e7e06a416306da47c7af17c3068ea2ee4bbcd090c6190a2c5602cce5

Pith citing papers

No inbound Pith citation observations are available.