Paper Citation Record · LEDGER

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane

As of 12 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2412.03781.

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

pith.paper-citation-record.v1
2412.03781 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:15:00.393849Z

measured 47 of 47 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 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

47 of 47 outbound references displayed

verified exact33
verified fuzzy1
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e7267a7d-df1e-4c0c-b82e-a8c0f63e3081 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-08-11T22:15:04.637512Z

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.

Observation d4dca115-4e3e-49c8-8415-a261286e0e36 · outbound

This paper cites Marbach \ and\ author L.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Marbach \ and\ author L

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T22:14:58.281163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e057761e-fe5f-4477-a091-23ff981f11fc · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-11T22:15:04.474342Z

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.

Observation 5453d0e2-2cac-4907-9999-da5eb8028fa5 · outbound

This paper cites Zhang , author L.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Zhang , author L

Reference 4

Resolution: verified exact; doi, observed 2026-08-11T22:15:04.344811Z

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.

Observation 160c77ab-102d-46db-a3c4-24402334e763 · outbound

This paper cites Siria , author M.-L.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Siria , author M.-L

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T22:14:58.414876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f157b9e-0721-497e-826e-e6b0be39946b · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-08-11T22:15:05.921443Z

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.

Observation c1030e5b-17e1-4d21-aa04-bac384c64db2 · outbound

This paper cites Pomerantseva , author F.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Pomerantseva , author F

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T22:14:58.564920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c815b80-24a3-4b3b-8c04-4f24e8df523c · outbound

This paper cites \ Ying , author Z.-L.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane \ Ying , author Z.-L

Reference 9

Resolution: verified exact; doi, observed 2026-08-11T22:15:03.845022Z

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.

Observation a1e7496e-8214-45f1-a5da-84229579441e · outbound

This paper cites Robin , author N.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Robin , author N

Reference 10

Resolution: verified exact; doi, observed 2026-08-11T22:15:03.772283Z

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.

Observation f317dd93-5855-4117-9280-8b34946b2590 · outbound

This paper cites Robin \ and\ author L.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Robin \ and\ author L

Reference 11

Resolution: verified exact; doi, observed 2026-08-11T22:15:03.726729Z

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.

Observation 8c0169e0-ae8e-4f95-8a23-7ccb52db7653 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T22:14:58.755129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bec9c292-da7b-4772-98d5-2268347bcd2a · outbound

This paper cites Gkoupidenis , author Y.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Gkoupidenis , author Y

Reference 13

Resolution: verified exact; doi, observed 2026-08-11T22:15:03.660342Z

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.

Observation 9e499586-d72c-4fdf-a59a-47eee19dc86e · outbound

This paper cites Sahu \ and\ author M.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Sahu \ and\ author M

Reference 14

Resolution: verified exact; doi, observed 2026-08-11T22:15:03.604800Z

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.

Observation 2c01bfed-4080-4688-a907-6e5bab75f63d · outbound

This paper cites Zhang , author L.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Zhang , author L

Reference 15

Resolution: verified exact; doi, observed 2026-08-11T22:15:03.435031Z

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.

Observation 7b0c82b7-a108-4c6b-be70-f36335e1288e · outbound

This paper cites Pakulski , author W.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Pakulski , author W

Reference 16

Resolution: verified exact; doi, observed 2026-08-11T22:15:03.284733Z

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.

Observation ac50499a-79a7-422f-89c5-1b88c72f5f8f · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-11T22:15:03.104735Z

Source-reported events for the cited work

correction dated 2016-11-08. Source: crossref record 10.1038/nnano.2016.240->10.1038/nnano.2015.37:correction, observed 2026-07-11T03:11:58.09704+00:00. This notice travels one citation hop only.

Observation 5961ef4c-47a5-4152-a160-a34509f3fa71 · outbound

This paper cites Macha , author S.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Macha , author S

Reference 18

Resolution: verified exact; doi, observed 2026-08-11T22:15:03.020257Z

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.

Observation ec64884c-8ef7-49d8-9687-f8e556c769f4 · outbound

This paper cites Feng , author M.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Feng , author M

Reference 19

Resolution: verified exact; doi, observed 2026-08-11T22:15:02.950315Z

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.

Observation 35c695f1-0f0f-43a8-8401-410b695afa85 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-08-11T22:15:02.872373Z

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.

Observation 1e20d019-6775-4fd8-8b7e-d6876b094921 · outbound

This paper cites Robin , author T.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Robin , author T

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T22:14:59.194744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3efd4067-d972-43ef-9990-fb3acefbf1d2 · outbound

This paper cites Cheng , author Y.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Cheng , author Y

Reference 22

Resolution: verified exact; doi, observed 2026-08-11T22:15:02.700912Z

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.

Observation f7841393-845a-4dea-90b2-8fa735058ccc · outbound

This paper cites Wanunu , author W.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Wanunu , author W

Reference 23

Resolution: verified exact; doi, observed 2026-08-11T22:15:02.615806Z

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.

Observation a724d117-07a6-47ed-afe8-174fffc7d1f0 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 24

Resolution: verified exact; raw_fallback, observed 2026-08-11T22:15:04.925208Z

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.

Observation b93ba9e9-5fb3-4754-abc1-b2a07a2ad061 · outbound

This paper cites Heiranian , author A.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Heiranian , author A

Reference 25

Resolution: verified exact; doi, observed 2026-08-11T22:15:02.516035Z

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.

Observation fa62affe-43da-4d0e-8d8f-63901a578e5b · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T22:14:59.474737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5dcaddf8-a465-42a6-afe7-69451b58937a · outbound

This paper cites Siria , author P.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Siria , author P

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T22:14:59.611132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e22629c-00f8-4d4a-82f4-3ed58d8bc18e · outbound

This paper cites Sisan \ and\ author S.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Sisan \ and\ author S

Reference 31

Resolution: verified exact; doi, observed 2026-08-11T22:15:01.814820Z

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.

Observation 7218fa48-0dfe-4ee6-8eb6-6ac150943554 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 32

Resolution: verified exact; doi, observed 2026-08-11T22:15:01.675004Z

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.

Observation 4d454eec-8b4e-42f8-8302-1638579250bf · outbound

This paper cites Lavi \ and\ author Y.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Lavi \ and\ author Y

Reference 35

Resolution: verified exact; doi, observed 2026-08-11T22:15:01.325833Z

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.

Observation e9d917d3-c6b6-4f0a-9e15-f296dcfaef6b · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 36

Resolution: verified exact; doi, observed 2026-08-11T22:15:01.196839Z

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.

Observation 2c09fedd-a310-4fef-808a-3ba051fe8ff7 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:15:05.808747Z

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.

Observation cba72c68-b386-4a53-abd9-d3c852097038 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:15:05.696468Z

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.

Observation 2059e546-f0f6-4397-b240-083159438a2c · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:15:05.541772Z

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.

Observation 29afa5f3-41e8-4832-aafc-affd118db202 · outbound

This paper cites Happel \ and\ author H.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Happel \ and\ author H

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:15:05.384757Z

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.

Observation 0eaa9ff4-e57f-490e-b41a-edd04fdeae52 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:15:05.224749Z

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.

Observation 0f040d20-f05a-437a-8ae6-15ffbbd40bbe · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 42

Resolution: verified exact; doi, observed 2026-08-11T22:15:01.054813Z

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.

Observation 596be949-5d2f-41ed-b1fd-904f2fa6de52 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:15:05.057565Z

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.

Observation e549fa3e-3b38-4932-b321-8e5496724263 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 44

Resolution: verified exact; doi, observed 2026-08-11T22:15:00.954747Z

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.

Observation 9441a2ec-f418-418b-9c3f-b3876d3adf33 · outbound

This paper cites Bocquet \ and\ author E.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Bocquet \ and\ author E

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-11T22:15:00.126615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be8c865a-5664-46bb-b815-54a3b1a41ee4 · outbound

This paper cites Secchi , author A.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Secchi , author A

Reference 46

Resolution: verified exact; doi, observed 2026-08-11T22:15:00.704821Z

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.

Observation 58c37100-7622-40de-bf69-907cabb3588f · outbound

This paper cites Li , author A.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Li , author A

Reference 47

Resolution: verified exact; doi, observed 2026-08-11T22:15:00.543214Z

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.

Observation 3382c145-3e9e-41fc-b340-7af61062c7b9 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 48

Resolution: verified exact; doi, observed 2026-08-11T22:15:01.421617Z

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.

Observation 984b02e6-268c-4c93-9d42-d27af4ffce0d · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 49

Resolution: verified exact; doi, observed 2026-08-11T22:15:01.534839Z

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.

Observation 7ee6b05c-7c95-40de-bf5b-f0029389919a · outbound

This paper cites Lee , author L.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Lee , author L

Reference 50

Resolution: verified exact; doi, observed 2026-08-11T22:15:02.204418Z

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.

Observation 1fb2dd31-ad83-41ec-8282-937f11be5a61 · outbound

This paper cites Mao , author J.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Mao , author J

Reference 51

Resolution: verified exact; doi, observed 2026-08-11T22:15:02.388245Z

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.

Observation eb3ecc1a-4db0-4dbd-a8a1-dc2a623d8a44 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 52

Resolution: verified exact; doi, observed 2026-08-11T22:15:02.106429Z

Source-reported events for the cited work

correction dated 2023-08-01. Source: crossref record 10.1063/5.0167179->10.1063/1.5108700:correction, observed 2026-07-11T03:05:00.960958+00:00. This notice travels one citation hop only.

Observation 9a822c5d-e21c-4f05-8597-014b75494f27 · outbound

This paper cites an unresolved cited work.

Scaling laws for concentration-gradient-driven electrolyte transport through a 2D membrane Unresolved cited work

Reference 53

Resolution: verified exact; doi, observed 2026-08-11T22:15:04.129028Z

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.

Pith citing papers

No inbound Pith citation observations are available.