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Paper Citation Record · LEDGER

Analytical solution for dynamic evaporation of liquid in isothermal condition

As of 9 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2506.02270.

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

pith.paper-citation-record.v1
2506.02270 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:36:32.976664Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T16:26:15.874599Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T18:16:08.408391Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved3
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f0334250-830e-462b-995a-20210af3d0c2 · outbound

This paper cites an unresolved cited work.

Analytical solution for dynamic evaporation of liquid in isothermal condition Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:36:35.232195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 01bf32b6-9a58-40e2-ac7e-9944fbb055c4 · outbound

This paper cites an unresolved cited work.

Analytical solution for dynamic evaporation of liquid in isothermal condition Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:36:35.036421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.090810Z digest=sha256:09d10cf05b7ec90e0ee6cce18f990766c40efec9078613256861f1e75e86429c

Observation e15f1c31-2be4-488b-8f6b-1f726deb38b8 · outbound

This paper cites ∂ φ /∂ t′ = 0.

Analytical solution for dynamic evaporation of liquid in isothermal condition ∂ φ /∂ t′ = 0

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:36:34.806101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.185317Z digest=sha256:294692c0e32496cf6cc5d6c6e1e93a42112d093c3453095304399a882c7dbbfc

Observation 4428a104-0c8c-4b8d-812a-fd17b53381f9 · outbound

This paper cites However, the friction does not con - tribute to change the pressure between the two bulk phases.

Analytical solution for dynamic evaporation of liquid in isothermal condition However, the friction does not con - tribute to change the pressure between the two bulk phases

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:36:33.445625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.860342Z digest=sha256:86f645e5ce2aff98cddb9605afddf01efaee2041ad027a49ceda23f975a75cab

Observation 729c9049-a07e-48c5-b9ac-0c00c9234bc3 · outbound

This paper cites For very low viscosities, the solution converges to the inviscid limit given by ( 28).

Analytical solution for dynamic evaporation of liquid in isothermal condition For very low viscosities, the solution converges to the inviscid limit given by ( 28)

Reference 6

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raw_fallback, observed 2026-08-07T11:36:33.326590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.905605Z digest=sha256:fa524dda1d4eaadfa66c8bb22aa17cfe43e36b73e9a7cd7ab2ebc64da32d7634

Observation cbb473c2-9cd0-478b-ab99-85b944c50edc · outbound

This paper cites In Case 2, the system is initialized with zero velocity.

Analytical solution for dynamic evaporation of liquid in isothermal condition In Case 2, the system is initialized with zero velocity

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:36:34.170883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.476855Z digest=sha256:65ca61f5e01f630f621620a64db06ddd47672d3b72649a0dd0c6abef7ce9252a

Observation c4cb1b45-2578-4084-bce9-1d52afbb19de · outbound

This paper cites Case 2: L∗ = 83, initial velocity equal to zero.

Analytical solution for dynamic evaporation of liquid in isothermal condition Case 2: L∗ = 83, initial velocity equal to zero

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:36:33.800654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.639228Z digest=sha256:34fe6518acf69ee5f5534efb24dc135b772fd9c8ef3fcafd868f05fe19c51432

Observation 0efa547e-f6f2-4df4-8a96-9129e2a059fd · outbound

This paper cites Despite differences in the transient regime, the final interface velocity is identi cal in both cases.

Analytical solution for dynamic evaporation of liquid in isothermal condition Despite differences in the transient regime, the final interface velocity is identi cal in both cases

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:36:33.677673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.706129Z digest=sha256:109a0fbb4e3d0dd9ea72c902318f4d58351db19e6653f83c033a3c38ef2f78a0

Observation bf5eabbc-2f3e-4991-b297-bcd3467032fe · outbound

This paper cites A theoretical study of interphase mass transfe r,.

Analytical solution for dynamic evaporation of liquid in isothermal condition A theoretical study of interphase mass transfe r,

Reference 17

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verified exact
raw_fallback, observed 2026-08-07T11:36:33.207938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.976664Z digest=sha256:a3099890c2bdddcea8ceb8d03ae6736582c40d7b9160ba3cd9eb4f0a70abaf84

Observation 61e8706c-d348-4818-a1e5-1e338bf90c9e · outbound

This paper cites (30) The problem with ( 30) is that we cannot use it to explicitly solve for z.

Analytical solution for dynamic evaporation of liquid in isothermal condition (30) The problem with ( 30) is that we cannot use it to explicitly solve for z

Reference 25

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verified fuzzy
raw_fallback, observed 2026-08-07T11:36:34.518842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.331687Z digest=sha256:3bddd2a3b9e69272d8cc281655086eaa5fd722fdb47978661610656db82a8300

Observation ce1c1f1f-3ce2-40e0-b61f-9cd9980e35d8 · outbound

This paper cites The positive velocity is compatible with the orientat ion of the interface ( 26) (see Figure 1).

Analytical solution for dynamic evaporation of liquid in isothermal condition The positive velocity is compatible with the orientat ion of the interface ( 26) (see Figure 1)

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:36:34.629548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.288591Z digest=sha256:3b4ee96d6cd495be9dfc26ec02d1c13c8bfe714e8fba7378c01a88681397f739

Observation e218c1ef-b29e-4f83-a655-73078dec1644 · outbound

This paper cites The validatio ns are based on comparisons with numerical simulations using the free-energy LBM proposed by Wagner 47 and implemented in OpenLB43.

Analytical solution for dynamic evaporation of liquid in isothermal condition The validatio ns are based on comparisons with numerical simulations using the free-energy LBM proposed by Wagner 47 and implemented in OpenLB43

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:36:33.568721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.783155Z digest=sha256:9f59553c36a05f1674384e50cd5adae093fb3ce9ba0c526266b282450e5c8df1

Observation d4d2549c-952b-4f4d-81b0-fa7533d93f30 · outbound

This paper cites an unresolved cited work.

Analytical solution for dynamic evaporation of liquid in isothermal condition Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:36:33.944317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.563205Z digest=sha256:92e0c9db83e9e6e937ac5a0f686ad87077c608bb0db592f9f00b3612a35ac5b8

Observation 8814f244-95d3-49a7-8d28-339f73fffca9 · outbound

This paper cites The system has a fixed temperature T.

Analytical solution for dynamic evaporation of liquid in isothermal condition The system has a fixed temperature T

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:36:35.644999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:31.852446Z digest=sha256:d3f2e06168ba4f9c4b087dee256f8f93744da26838e9cdc6deea1d23d4521e19

Observation 39926cef-d629-43de-86ea-5fe81ccadad7 · outbound

This paper cites The article is organized as follows: In Section II, the phys- ical problem of isothermal evaporation under sub-saturati on pressure is introduced.

Analytical solution for dynamic evaporation of liquid in isothermal condition The article is organized as follows: In Section II, the phys- ical problem of isothermal evaporation under sub-saturati on pressure is introduced

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:36:35.853021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:31.800210Z digest=sha256:b07fd8419330848dbecb3083626c9137dc9638102c64a1e2f3a95fe1f4ed0fe2

Observation 8dfdb386-70f5-4595-a3db-66fb8f4c8cfc · outbound

This paper cites position vs. time.

Analytical solution for dynamic evaporation of liquid in isothermal condition position vs. time

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:36:35.476770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:31.921318Z digest=sha256:1c97c24a35987cfa3650c4f8f24eda63f956bcc08063259631dfcc621a9911c8

Observation b4f42252-390b-41ec-922d-8efdde9b3b40 · outbound

This paper cites The equilibrium velocity is a quantity used to define f eq i and its relation with the real fluid velocity is introduced later.

Analytical solution for dynamic evaporation of liquid in isothermal condition The equilibrium velocity is a quantity used to define f eq i and its relation with the real fluid velocity is introduced later

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:36:34.360083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T11:36:32.422280Z digest=sha256:18b7c1d31a24a9e7f470286365bbba5d381471e0864e20684d28bde865b72e8d

Pith citing papers

Observation d60e37b4-0925-48fa-b24e-392b4c747914 · inbound

Understanding the Dynamics of Evaporation-Driven Colloidal Self-Assembly cites this paper.

Understanding the Dynamics of Evaporation-Driven Colloidal Self-Assembly Analytical solution for dynamic evaporation of liquid in isothermal condition

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-11T18:16:08.419351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-08T16:26:15.874599Z digest=sha256:ebfb04bffc8568dfe6f909b9de844f26796db365b0e5dc369acee591883e8220