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Paper Citation Record · LEDGER

The efficient implementation of transport velocity formulation

As of 12 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2411.13992.

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

pith.paper-citation-record.v1
2411.13992 v1

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:43:53.791617Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T23:42:25.633434Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T23:42:25.797800Z

Reference resolution

50 of 50 outbound references displayed

  • verified exact0
  • verified fuzzy23
  • unresolved27
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9a70d661-eccf-4bb9-adfd-05ac7774b842 · outbound

This paper cites Adami, X.

The efficient implementation of transport velocity formulation Adami, X

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-12T15:43:53.620482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f208436b-2561-48bf-b4bc-72515849733e · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.311106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation c0699c9d-8b2d-4954-abeb-685d370d131c · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.301676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 829416fa-ab67-4bc6-b407-46682e96503c · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.291832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 03533a9a-647c-4bb1-a9fb-cf29a8b8fc33 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.281592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 77a2f1df-9f89-4043-a81f-22fa431b6053 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.271275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.640028Z digest=sha256:5b0f077c133de6744276e6befd2b26f89c8a3d2fbb7467fd7a79fbbbc0d301fc

Observation 1bbff092-af2d-4280-b5b8-86021e552d79 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.261187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 2c8dbe2d-9717-40bf-8fdf-eac6a93e9f78 · outbound

This paper cites Randles, L.

The efficient implementation of transport velocity formulation Randles, L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.250343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 72d4f633-258a-42c2-a4b8-c9eb5820cd75 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.239024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 148345b5-a4dc-469b-892e-3e76d2092446 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.227429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation d247ca0d-877a-446b-ba1b-22c8973def46 · outbound

This paper cites Khayyer, H.

The efficient implementation of transport velocity formulation Khayyer, H

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.216977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 6038afbf-02d1-4a35-810c-6dfa00d29937 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.205677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 626fae74-bf07-43fc-a1e7-6b7a51306254 · outbound

This paper cites Schuessler, D.

The efficient implementation of transport velocity formulation Schuessler, D

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.195003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.664827Z digest=sha256:93506c513c01ea2264f4a2ccc84f5ad48fabb86af6ded9616e579c06a5d97768

Observation b43100ad-3ff4-4342-bfa9-8e7b09f85025 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.184801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.668275Z digest=sha256:07dc944e99ea0eaae75c3cc9600a31d44a3224a92abd5de68316d09570408f18

Observation cab91964-a432-42dc-b8d5-8e195cdc3a0d · outbound

This paper cites Colagrossi, M.

The efficient implementation of transport velocity formulation Colagrossi, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.175145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.671441Z digest=sha256:a6462129326a6bf393d04902977638749658b3f0bc0c1939d980cdf015d19ce4

Observation 019c0100-3198-46a3-934f-5e885fb9ab8e · outbound

This paper cites Monaghan, On the problem of penetration in particle methods, Journal of Computational physics 82 (1) (1989) 1–15.

The efficient implementation of transport velocity formulation Monaghan, On the problem of penetration in particle methods, Journal of Computational physics 82 (1) (1989) 1–15

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.165744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation e03bfdd8-c374-4ffc-a8e6-2e9060722197 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.155942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 75cdaf27-f8f4-4683-86c0-173b80c0ca48 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.146546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.681383Z digest=sha256:d5cf00a9d0b7c1a5662fac4ff04fca406a93e77cd5a57214408274c009757ee3

Observation b4bca643-7442-4fb8-b654-dab25a753e2d · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.137068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 6cbd46be-a59d-4d37-a664-6067777b4b1f · outbound

This paper cites Antuono, A.

The efficient implementation of transport velocity formulation Antuono, A

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.127958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.688047Z digest=sha256:75df33d86a4df160e990956c6e748d7d3bedb3c2dc098e4fdbd4f8065599bd39

Observation 44aa9e82-23ff-4afd-8857-769e782a07e6 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.118929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.691420Z digest=sha256:d96658eaab309f5438091c9f14ece1b566c215767c76a32ad3a4f73c159b8779

Observation b8196aaf-c968-43dc-bebf-eaa2712a01bb · outbound

This paper cites Vacondio, B.

The efficient implementation of transport velocity formulation Vacondio, B

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.109370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 7c44c7d8-2647-4189-8f4e-2b1554df71ed · outbound

This paper cites Lyu, P.-N.

The efficient implementation of transport velocity formulation Lyu, P.-N

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.100077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 098d11ab-7ccb-4e16-9979-e87f51c1dbc1 · outbound

This paper cites Zhang, X.

The efficient implementation of transport velocity formulation Zhang, X

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.090902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation a49c746b-65a0-4800-bf6a-76ee03fddcb1 · outbound

This paper cites Litvinov, X.

The efficient implementation of transport velocity formulation Litvinov, X

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.081061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.704391Z digest=sha256:67f47d378178b39c1e33fa38e72c89b8c3f56fa68bd2a5cfd2005678c1ac6c00

Observation 33acca55-3030-4126-977e-7746fc589eeb · outbound

This paper cites Zhang, X.

The efficient implementation of transport velocity formulation Zhang, X

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.072072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.707600Z digest=sha256:faad0f6c4d0d20003a5442c8d708ee7aa540902791ecf17debdc67a0ca427650

Observation 7ba405c4-a785-4d23-8b00-05bfcaacf654 · outbound

This paper cites Zhang, M.

The efficient implementation of transport velocity formulation Zhang, M

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.062920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.710906Z digest=sha256:de7e09760e451602759359c44519a8fd3ccbe7ed9b8b33d473fd0ddfd19b32b3

Observation 779b2d97-f23b-4808-9861-bec6b7196ccd · outbound

This paper cites Zhang, M.

The efficient implementation of transport velocity formulation Zhang, M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.053663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.714151Z digest=sha256:e10c7f0fe5f95b9ef85e5ff7fecccb75fc209d961596b0772fd3e1e290d443af

Observation 4db6dc3e-a7e8-42ca-bc15-9d0c2ca14e66 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.044111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 410b2a57-b8fa-42e5-a175-3e962f9c62fd · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.033698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation ca8ca802-d8d2-46c5-a932-1570d6371df0 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:54.023732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.724665Z digest=sha256:8adb68adf3cdfce3baa7252dccbc82d2057ccb9b33de53906a4777862113bfd0

Observation 12de0270-721e-42f4-82d9-2ba1bf754672 · outbound

This paper cites Zhang, W.

The efficient implementation of transport velocity formulation Zhang, W

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.013516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.728685Z digest=sha256:91ca3f0bd6c657e9f85a0f1c8c6285d6527ec6f877c383f632fbc80aa52dfc18

Observation 0357c743-8efd-41e9-88d0-b604a5d4cfde · outbound

This paper cites Wendland, Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree, Advances in computational Mathematics 4 (1995) 389–396.

The efficient implementation of transport velocity formulation Wendland, Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree, Advances in computational Mathematics 4 (1995) 389–396

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:54.002684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.732590Z digest=sha256:d649b52e92dd087daf7a9a5c4ee489fd0c22faa659cd62cfab7975584a7a7e7b

Observation c5f32c48-bbd1-4fca-97dd-aa6f40b3e2f4 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:53.991101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.736501Z digest=sha256:ab75387b14599d76d4b3797c7d1152976aeedaea4574b07d71a91b7982715eed

Observation 27b24930-5acd-47b7-8fe3-0180478f6b5e · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:53.980762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.739835Z digest=sha256:32fe0d808e76bd8379ccf1c519c0ce75755759e4eff8b273459f1a7da828efc9

Observation b5ccda9f-7606-4770-8044-e26b3520960c · outbound

This paper cites Turek, J.

The efficient implementation of transport velocity formulation Turek, J

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:53.969686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.743271Z digest=sha256:08150120924e1fbdb680c110aa4029ba8106be38be3e2503f4cd64ab72a57353

Observation 6cfec9cf-72ee-42fb-acce-7bb995ec41ee · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:53.958782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:43:53.746895Z digest=sha256:7ffa589d3f7691f92f61a78a90ba58f9335e930e1b30a04599ae5fd205aa9fcb

Observation d3171a90-f0d2-44b5-9bd3-d290d8930918 · outbound

This paper cites Zhang, M.

The efficient implementation of transport velocity formulation Zhang, M

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:53.947555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 41883e77-c4b9-40ad-b0d3-4247e50e2bc5 · outbound

This paper cites Bhardwaj, R.

The efficient implementation of transport velocity formulation Bhardwaj, R

Reference 39

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 3e33959d-c5fb-4868-9a2b-8aae5f19beb4 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 40

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 58161df8-3914-4cc1-b334-6c4bad1c75b8 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 41

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 429533b8-785c-4590-b9dc-755949f2303c · outbound

This paper cites Chiu, R.-K.

The efficient implementation of transport velocity formulation Chiu, R.-K

Reference 42

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 19fe1551-ea37-45cc-afb9-2b91d2bcb6a8 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 43

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 4ce69e6f-6252-467f-9c0a-dd7c6f46b650 · outbound

This paper cites Brehm, C.

The efficient implementation of transport velocity formulation Brehm, C

Reference 44

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 6f4f5943-64c7-4ed0-89c2-c864f6bef553 · outbound

This paper cites Russell, Z.

The efficient implementation of transport velocity formulation Russell, Z

Reference 45

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation a30ce157-7b79-406a-abb5-14b464e75c89 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 46

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 3851bbfd-9d1d-4188-9eac-cf41a9d10b3c · outbound

This paper cites Komaizi, A.

The efficient implementation of transport velocity formulation Komaizi, A

Reference 47

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 55ac1233-134f-4b73-8c16-60bbce8c3ff1 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:43:53.844378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 47157d97-b829-40a2-9621-321f46b1c038 · outbound

This paper cites an unresolved cited work.

The efficient implementation of transport velocity formulation Unresolved cited work

Reference 49

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 626de4d8-ceb1-42f0-bdac-9d8a31a6053c · outbound

This paper cites Hariharan, M.

The efficient implementation of transport velocity formulation Hariharan, M

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:43:53.822843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Pith citing papers

Observation 388d3ac3-f844-424b-83fc-68b3c09c4d78 · inbound

A weakly compressible SPH method for RANS simulation of wall-bounded turbulent flows cites this paper.

A weakly compressible SPH method for RANS simulation of wall-bounded turbulent flows The efficient implementation of transport velocity formulation

Reference 42

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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