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Paper Citation Record · LEDGER

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

As of 15 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=sha256:43294b77a55005a0b5cebf60c7c323a507898725edead6795134c9ddb6bfa455

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:f4b540562bf1f8822cbb18d2eafc727fca4342ea693277018492e951dc6f51ec

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=sha256:39e0748d6e0259664c3b6fb943c1566deee51fd48501ce1053f32669a508cd67

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:dec6ef073e7c47151a0fd519a2a14e3fd14a1c4f367b7c18d3572871c5d96990

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:a2aac5f8502fe991a437b0e79f71f82131084bb0610eacc6f83429ceb569c377

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=sha256:2dfab5f72cd130a9999a5fc08050575938f4c9305647cc4971bc2456eeef3a12

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=sha256:816b26c1512d5c24ca8fcb8ecd12a91fc6aea8ecebd7bfd75d5d2ab35ce70132

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=sha256:37ee704172591f7fced569e8e9c6c7112d794041ffbe9ff4c0c098499144c040

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:e86155ca2665656d764b3b077ca0bdd5044d786aefa7d223baa64e6583bb4afe

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=sha256:1ecd215adcea9af243485a37019595cd84c64a46046826fed971c7dfd55c2390

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:aabb7175fe49f2a8b35d58a4d221595c2c283f7282369c767fd02f039426d1ba

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:bdf324f35f4ad2b28db8a23ee9e0a6f4533d19bef0ad44489bee388a0f777668

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:bb2635a5df360a0f219117ae53251e3e03f74e30693aff6e6ac20342bbcb1f17

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:d613e1febd8ffa402475ca192dac44e3502cfe5c6484405a956f1a75919d36e5

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=sha256:29daa83bd6d700ba4b9c41618185530d7d813afbfafae0b9d1f4c2c84ecc9ec9

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:dccded4ef851bb98a00e68f541415001710da28d632d31fac9712a420136b018

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=sha256:059b65a3b61a2efd630b90d35b0b1392064659cc50715c3d5f1ce886cd50f8a7

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=sha256:75b0f307dc54b45600e4591fcc3fae5308469bec86dfa1bfee3c6fbb1ef43789

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:e5c5a201310a89c30c4de0780e72c0b34b725edf03511090e6492231fc990784

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=sha256:76d74ce846546e5bfd5a759a43a6ac0d1bcebf77d5078514ae5de797b395e5aa

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:ad465edc3f5af07beb5ca014804b2aadc83cc0cf92c81cd693cfde6fae9b1151

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=sha256:1809259124ed1817bd68a3d1256bce0caba687097fc1a063e567d6a2c4f3fc52

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=sha256:48ae2292a4b3633733af3547433d79bda8e9ef79a2e19b41aeadb7612d97d714

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:f022178f05c956cb7054db3a73d1c3a505dd1cd64c637b181902bade3eab90db

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

source=arxiv_source observed=2026-08-11T20:18:12.297906Z digest=sha256:ff04729163cb66689bac1028f3dfc83e2ce5dd0291bccdccb9600f76d36c6fea

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=sha256:85fe78228453b81022b6e32cdac49f816d7e6ccc79547f1c370ee9fd0649d702

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=sha256:5fab9c61473785d646b94b67f67444afee2669b3a67b2ef22168ee19514aaefc

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=sha256:31951630745da37f8fed725651dcb98a03725f9ffe9413b84bd1d8cfd3f531f5

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=sha256:91b55463717a097cb3eb06e7ef56aaaefb59950fccd4a89213ff13380c28d2ab

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=sha256:6caab3eafe928f2faa7e1f0dc091e9d13cba506a75bffb7806362e65fba2a2ef

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=sha256:6b6c8e3ab52aa30faff57b8e85d23bebb3aef68985a6b1141836466e4f36ebbc

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=sha256:17bdd1994f92eabbd5a8146fd3f2ffdcb7346c68124fa12be9659f69ff43588b

Pith citing papers

No inbound Pith citation observations are available.