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Paper Citation Record · LEDGER

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

As of 14 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 2026-08-14T06:32:32.682623+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:aefd45b910a570fb38805cbfa2048572755d4e4cc778e4d1418dd7903a58923d

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=sha256:2dd9658b96f910244625059f576879c495edb01a9bee5d457a04eb1fe1123fdd

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=sha256:17b2e9f690c90080808f3f05abbb0ce911a5de0dd5c41910b95b9a6df2945f92

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.180515Z digest=sha256:01c9961addb0c4c136ce20d8c1a5432163b9f253259b72f61dd240735968802d

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.186779Z digest=sha256:f6b4332446f646b148053bec7cc71231546a131ab7769d2a3cd4b0dd75bdf68a

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.191973Z digest=sha256:de30dc33c7984033d2dd6ecdd901d4e1d5ae789aded13196abc67956a632b813

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.197259Z digest=sha256:f034e243a6bd4dd1cc7f73023dd5cde29a33e2ca8ab530b81532c0ad6848ef68

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.202092Z digest=sha256:f347904baa201f1dc1bcedc5184500577539d9ee7a3f6621308537e7d3ae2db2

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.206815Z digest=sha256:7c1228cc54bc7e8e2f4772b157868fc37273b3c1365134dbef2b68f816eeff24

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.211991Z digest=sha256:e282b3eccc667892fa961ae8c279963510b82c75ebfb90004745e3ba4d6a0e10

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.216927Z digest=sha256:d4c4130f9a469ce2d387288123626b852934b7c8e8f40bd79e5e338de4441291

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.223562Z digest=sha256:491b76e7e4fc0e204f493cbb014bd4edfea0105afd29a748a5284c1aaf146a0b

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.228682Z digest=sha256:92b35dfb35eadd59120e729d50496dd87182451e6991f653a0a3462e9ff0bf7d

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.233732Z digest=sha256:4cf093ebec4a8b7205bffb55b228008bc46450480d48f2baa42274343ea5494f

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.240061Z digest=sha256:7aac0108b712d48822ca08895615bfe21fb684aa1a06806df2466d9407421996

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.245052Z digest=sha256:b6b751058b5292d1a39f111d06a9f3a05631b0778d2f2c0aec7ce0ed5d1b6623

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.250741Z digest=sha256:e639a7dd809b92c94a9ddfb7844fa377caecb0aaba042248706d701c5f3ed960

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.257016Z digest=sha256:5b7fcb42ea956f276856286cf9b8479656a1a225ad4c39e28b0eaf7a3206bed8

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.262783Z digest=sha256:2b1eefacd063a64ad811788f0ceb3d1f26c5f9242b5d6b6be1dd1e46e1cd5386

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.268170Z digest=sha256:cfa556844106a5832c678ea861776768a94678b811b69143060cee36859b7288

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.274843Z digest=sha256:ecc26118a4fdce087f1fe971b0c532fc32436c9bd46b47dcdfb8e4f791a4a045

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.280684Z digest=sha256:771edab7998587c703029e1f0f7f0478883455eb78ddefa0b3b63063bd0121ed

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

Resolution
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=sha256:20f115f72885b006b1235e268941de83bc0a200e1d46d8eeb7a59eab8ff85fdb

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.292023Z digest=sha256:aadedb4df7ff54b2343fe28af3ece1a8b5b9b8d318d6344ce7a6598c6f82dc9c

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

Resolution
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.297906Z digest=sha256:8f9ae395e7632207fc3b5d715f1dd7a9e758cb378235624163bfdc7f02f82a22

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.303846Z digest=sha256:1424959982c81781ec13e7782e2e47ccfd348d8823555f6dd52b976d2078f4e2

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.309213Z digest=sha256:df13ca5b7a8a9c223b60013d4c7f19e2d6ded4ac3c98ad07cb4c04ac1162c587

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.314346Z digest=sha256:7c7803eebdf57c1a79ba7817897e4d4b5998ca92dee066f151936cf762893cb5

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.319906Z digest=sha256:9a5676080eb501fe7263b62bdb87066bbab5d0ef12aa9a44c978647988f44f45

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T20:18:12.325065Z digest=sha256:ba9016808398f7d9afce21af1b7a44bffd11850cd3ae769f47167071824fc947

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=sha256:11d97de9df6eb43fdb78a2ab8a118d09c5374d441b694811b0e75d8c67f85a43

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=sha256:4ee8b6dfa89e4a8f1ced36eb8d305dc9289e002e50359acfdac64bbaaa21c4ae

Pith citing papers

No inbound Pith citation observations are available.