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Paper Citation Record · LEDGER

Metastable phase separation and information retrieval in multicomponent mixtures

As of 14 August 2026, this Paper Citation Record lists 93 of 93 outbound references and 1 inbound Pith citation observation for arXiv:2509.10705.

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

pith.paper-citation-record.v1
2509.10705 v3

Coverage vector

measured 93 of 93 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T17:49:55.884970Z

measured 94 of 94 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T20:26:27.082384Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

93 of 93 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 52ceca67-192f-4584-9dae-bf744c50eb91 · outbound

This paper cites Rubinstein and R.

Metastable phase separation and information retrieval in multicomponent mixtures Rubinstein and R

Reference 1

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Observation e3379e02-bf4b-4200-90d6-7cefcf40371d · outbound

This paper cites Safran,Statistical Thermodynamics Of Surfaces, In- terfaces, And Membranes(CRC Press., 2003).

Metastable phase separation and information retrieval in multicomponent mixtures Safran,Statistical Thermodynamics Of Surfaces, In- terfaces, And Membranes(CRC Press., 2003)

Reference 2

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Observation 517c482b-72fe-4377-9044-a1669850630a · outbound

This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 3

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 4

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 5

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This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 6

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 7

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This paper cites Wang and L.-L.

Metastable phase separation and information retrieval in multicomponent mixtures Wang and L.-L

Reference 8

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This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 9

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This paper cites Machyna, P.

Metastable phase separation and information retrieval in multicomponent mixtures Machyna, P

Reference 10

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This paper cites Braz Teixeira, G.

Metastable phase separation and information retrieval in multicomponent mixtures Braz Teixeira, G

Reference 11

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Observation d8e6414a-d3c6-4b51-a08d-806db1288ac9 · outbound

This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 12

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Observation 450b7963-47a5-4262-a463-a86262264aff · outbound

This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 13

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Observation 5fc3ef48-cb1d-46c3-9762-d471faa03aa9 · outbound

This paper cites Composition Dependent Instabilities in Mixtures With Many Components.

Metastable phase separation and information retrieval in multicomponent mixtures Composition Dependent Instabilities in Mixtures With Many Components

Reference 14

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Observation 64105758-8c80-4f0b-86b0-b4a0743fa04f · outbound

This paper cites Zwicker and L.

Metastable phase separation and information retrieval in multicomponent mixtures Zwicker and L

Reference 15

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 16

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Observation 18b85fc1-cd68-4a69-aaa6-bf1b3ff79f5f · outbound

This paper cites Frauenfelder, S.

Metastable phase separation and information retrieval in multicomponent mixtures Frauenfelder, S

Reference 17

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Observation 4391cbe3-ac71-443e-8cfc-6de648a4a829 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 18

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Observation f761e8d8-58f2-4ef7-9d19-1df0bb9aaab2 · outbound

This paper cites M´ ezard, G.

Metastable phase separation and information retrieval in multicomponent mixtures M´ ezard, G

Reference 19

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Observation 256482e6-a162-4a0e-a9d6-79b3d9e2204e · outbound

This paper cites Charbonneau, E.

Metastable phase separation and information retrieval in multicomponent mixtures Charbonneau, E

Reference 20

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Observation 3feb9cf9-a077-4410-ac20-3ff2b8577c93 · outbound

This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 21

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Observation 628e44e9-7997-440c-ae97-92b4339ff8c9 · outbound

This paper cites Hertz, A.

Metastable phase separation and information retrieval in multicomponent mixtures Hertz, A

Reference 22

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Observation 8dcca99f-69bc-4fa0-804e-0021e2e7dca6 · outbound

This paper cites Generic multicomponent mixtures are multistable.

Metastable phase separation and information retrieval in multicomponent mixtures Generic multicomponent mixtures are multistable

Reference 23

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Metastable phase separation and information retrieval in multicomponent mixtures Patel, H

Reference 24

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

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Observation d61fdc21-3eb3-4045-b0c3-e7feeb1a6037 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 27

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This paper cites Amari, Learning patterns and pattern sequences by self-organizing nets of threshold elements, IEEE Trans- actions on computers100, 1197 (1972).

Metastable phase separation and information retrieval in multicomponent mixtures Amari, Learning patterns and pattern sequences by self-organizing nets of threshold elements, IEEE Trans- actions on computers100, 1197 (1972)

Reference 28

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 29

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Observation 94fb2c0d-0193-4779-84d8-564f57f87523 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 30

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This paper cites Fermi,Thermodynamics(Courier Corporation, 2012).

Metastable phase separation and information retrieval in multicomponent mixtures Fermi,Thermodynamics(Courier Corporation, 2012)

Reference 31

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This paper cites Carugno, I.

Metastable phase separation and information retrieval in multicomponent mixtures Carugno, I

Reference 32

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Observation d190860b-dc28-49c1-b70a-5076e2c10e9b · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 33

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 34

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Observation 3a022af1-408b-4143-a708-661962031446 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 35

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Observation c7f0f336-5b14-449b-b06b-d93282f27d85 · outbound

This paper cites Chalk, S.

Metastable phase separation and information retrieval in multicomponent mixtures Chalk, S

Reference 36

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Observation 46a3b83e-d074-4367-bed1-fb90f0efb04f · outbound

This paper cites Diverse, Distinct, and Densely Packed DNA Droplets.

Metastable phase separation and information retrieval in multicomponent mixtures Diverse, Distinct, and Densely Packed DNA Droplets

Reference 37

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Observation 1aea523e-242f-47bd-9939-6702e29b8cbc · outbound

This paper cites Carugno, Phase separation and instabilities of com- plex fluids, PhD Thesis (2023).

Metastable phase separation and information retrieval in multicomponent mixtures Carugno, Phase separation and instabilities of com- plex fluids, PhD Thesis (2023)

Reference 38

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Observation a559ed69-8161-4012-ae22-278bd77eed01 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 39

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Observation 4a9e4279-3882-4ff6-a416-781022662d4d · outbound

This paper cites Penrose, A generalized inverse for matrices, Mathe- matical proceedings of the Cambridge philosophical soci- ety51, 406–13.

Metastable phase separation and information retrieval in multicomponent mixtures Penrose, A generalized inverse for matrices, Mathe- matical proceedings of the Cambridge philosophical soci- ety51, 406–13

Reference 40

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Observation f0b66284-2373-4f23-8aff-994fb1e60b9c · outbound

This paper cites Shrinivas and M.

Metastable phase separation and information retrieval in multicomponent mixtures Shrinivas and M

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Observation f197a8b5-e6ef-45e0-863d-69eb3ee9a024 · outbound

This paper cites Parkavousi, N.

Metastable phase separation and information retrieval in multicomponent mixtures Parkavousi, N

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Observation 82d2239d-dd9d-4bf7-9c6c-2e9e26b2703a · outbound

This paper cites Compositional disorder in a multicomponent non-reciprocal mixture: stability and patterns.

Metastable phase separation and information retrieval in multicomponent mixtures Compositional disorder in a multicomponent non-reciprocal mixture: stability and patterns

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Observation db531f50-ef0b-4aaa-a7cd-c77f32e5c111 · outbound

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Observation b190503c-288d-4158-8cb5-12b55e570b4d · outbound

This paper cites Girard, On kinetics and extreme values in systems with random interactions, Physical Biology20, 016006 (2022).

Metastable phase separation and information retrieval in multicomponent mixtures Girard, On kinetics and extreme values in systems with random interactions, Physical Biology20, 016006 (2022)

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This paper cites Chen and W.

Metastable phase separation and information retrieval in multicomponent mixtures Chen and W

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Observation a837d3fb-e1ae-4ea2-9523-f7d8b4edaf4e · outbound

This paper cites Gavin, M.

Metastable phase separation and information retrieval in multicomponent mixtures Gavin, M

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Observation 0a9f47f5-d48a-43e1-b5b6-13a94f6edf60 · outbound

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Observation 7c6e7358-1f82-4e13-ac0a-e9a635a4b355 · outbound

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Observation 80e6d212-96ae-4001-8771-37bffd22a4ce · outbound

This paper cites Biffi, R.

Metastable phase separation and information retrieval in multicomponent mixtures Biffi, R

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Observation 18372ccb-ef3e-4d5d-948e-697103bd392e · outbound

This paper cites Beyond Pairwise: Higher-order physical interactions affect phase separation in multi-component liquids.

Metastable phase separation and information retrieval in multicomponent mixtures Beyond Pairwise: Higher-order physical interactions affect phase separation in multi-component liquids

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Observation 6ce38fd0-d903-4a0a-9b99-794199e91a7a · outbound

This paper cites Zwicker, A.

Metastable phase separation and information retrieval in multicomponent mixtures Zwicker, A

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Observation 6bfcf5eb-6ec0-447f-ac02-1cc6460bd93f · outbound

This paper cites Kirschbaum and D.

Metastable phase separation and information retrieval in multicomponent mixtures Kirschbaum and D

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Observation 79f680f4-0f36-43b6-852a-682a3c70bdd3 · outbound

This paper cites Klosin, F.

Metastable phase separation and information retrieval in multicomponent mixtures Klosin, F

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Observation 1ee205d1-8d5c-4719-991d-a1adb468d847 · outbound

This paper cites Chemically active droplets in crowded environments.

Metastable phase separation and information retrieval in multicomponent mixtures Chemically active droplets in crowded environments

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Observation 46efaee4-0388-4852-be15-a202915b808d · outbound

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Reference 56

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 57

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Observation ff2d6bab-1c02-47b5-a843-f4aeb41d6f63 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 58

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Observation 97a1e8bc-2479-4880-81a2-233ebce07d73 · outbound

This paper cites Boll´ e, T.

Metastable phase separation and information retrieval in multicomponent mixtures Boll´ e, T

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

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Observation 1a73ebc1-6d4b-4f4c-8e6c-cc4cd4740248 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 61

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Observation ace09579-97ab-47cc-95f8-e33d168fe7f0 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 62

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Observation a18da993-64e0-409a-8afc-ecaabe484192 · outbound

This paper cites Sartori and S.

Metastable phase separation and information retrieval in multicomponent mixtures Sartori and S

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Observation 0d6448d6-cc1e-4620-a4b6-77d494969e59 · outbound

This paper cites Hopfield Networks is All You Need.

Metastable phase separation and information retrieval in multicomponent mixtures Hopfield Networks is All You Need

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This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

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Observation d3080f12-ee85-4400-a263-732c2fb23eb6 · outbound

This paper cites Zhong, D.

Metastable phase separation and information retrieval in multicomponent mixtures Zhong, D

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Observation 348e4097-5a99-4899-b3dc-6600cef034d8 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

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Observation ec509706-112d-439f-9a79-da4b250874ec · outbound

This paper cites Adame-Arana, C.

Metastable phase separation and information retrieval in multicomponent mixtures Adame-Arana, C

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Observation c6d8da05-9cfb-4667-af9e-eaf820a4a0a7 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 70

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Observation 801f4227-a7e7-47df-b1ef-2adb19df41c0 · outbound

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Reference 71

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Observation 0d64367f-ac41-49c9-bd93-f205ffd5e463 · outbound

This paper cites Zwicker, py-pde: A python package for solving partial differential equations, Journal of Open Source Software 5, 2158 (2020).

Metastable phase separation and information retrieval in multicomponent mixtures Zwicker, py-pde: A python package for solving partial differential equations, Journal of Open Source Software 5, 2158 (2020)

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Observation aba92a45-70e2-4b79-85ec-27733e45ea44 · outbound

This paper cites In this case the free energy of Eq.

Metastable phase separation and information retrieval in multicomponent mixtures In this case the free energy of Eq

Reference 73

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Observation 23bcfd9e-1934-4bd3-b794-983425376476 · outbound

This paper cites The stationarity conditions Eqs.

Metastable phase separation and information retrieval in multicomponent mixtures The stationarity conditions Eqs

Reference 74

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Observation 9e644375-c5b8-4047-ad64-682d7eed617c · outbound

This paper cites The dynamic equation that we are solving is ∂ϕ(r, t) ∂t =ℓ∇ 2 ¯µ(r, t),(I17) 29 where ¯µ(r, t) has units of energy, and thusℓhas units of area per unit energy and time.

Metastable phase separation and information retrieval in multicomponent mixtures The dynamic equation that we are solving is ∂ϕ(r, t) ∂t =ℓ∇ 2 ¯µ(r, t),(I17) 29 where ¯µ(r, t) has units of energy, and thusℓhas units of area per unit energy and time

Reference 75

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Observation cb483b22-0423-4cc0-bf2a-97e95e265d36 · outbound

This paper cites Solving the stationarity conditions The stationarity conditions in Eqs.

Metastable phase separation and information retrieval in multicomponent mixtures Solving the stationarity conditions The stationarity conditions in Eqs

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Observation c8798081-6606-4e41-a320-5a7cd5abf3ce · outbound

This paper cites Time is measured in units of.

Metastable phase separation and information retrieval in multicomponent mixtures Time is measured in units of

Reference 77

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Observation 93573edd-7849-4564-b6bc-ebe2db35bac7 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

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Observation 48648635-09f6-4b3a-82c3-f3a35e1ae653 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

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Observation 4467a788-d3fb-4e2c-8afa-ae1afd8ccecf · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

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Observation 3c19fb2e-b00a-4059-a6a1-5fe5b47d678d · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

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Observation ab34dea9-cb07-4503-a424-49988f44b6d8 · outbound

This paper cites but for targetα= 2 as described in Fig.

Metastable phase separation and information retrieval in multicomponent mixtures but for targetα= 2 as described in Fig

Reference 82

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Observation 557d4e11-9131-481c-93a2-2615ddecc9f9 · outbound

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Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

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source=pdf_text observed=2026-08-04T17:49:55.600971Z digest=sha256:6ee4c23cf723cebc4d487129d11bfbd482ca5027a331bdedd9034fa59c39ab6a

Observation ddf79b35-cd41-480e-872e-71cba594c5c6 · outbound

This paper cites but for targetα= 2 as described in Fig.

Metastable phase separation and information retrieval in multicomponent mixtures but for targetα= 2 as described in Fig

Reference 84

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no resolver link, observed 2026-08-04T17:49:55.608161Z

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source=pdf_text observed=2026-08-04T17:49:55.608161Z digest=sha256:c1bab3d7481ef83baad86eebbfd00adf672ce303a7b7e91166fc95accb9c062a

Observation f437a664-0b54-42d6-bee3-312fe75dd2cf · outbound

This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 85

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no resolver link, observed 2026-08-04T17:49:55.611504Z

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source=pdf_text observed=2026-08-04T17:49:55.611504Z digest=sha256:642b5b9c44886d2e7c80055dba6ac8185e0e6d03ba393ce00c989779985f3539

Observation 21da51ac-a1db-4917-a9d4-197c4f16dd37 · outbound

This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 86

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no resolver link, observed 2026-08-04T17:49:55.614973Z

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source=pdf_text observed=2026-08-04T17:49:55.614973Z digest=sha256:5e29b91fa1a01c0659c291cea890bbfe122aaf31d0c6416d9969ab75c6f95ef6

Observation 59adfe0f-e5ac-4e9f-9c75-ad8cb4ac3bd4 · outbound

This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 87

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no resolver link, observed 2026-08-04T17:49:55.634848Z

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source=pdf_text observed=2026-08-04T17:49:55.634848Z digest=sha256:87288c599c6074f4cbfcb0def1f57ea52a95111d1e6dff687d2fea744ab915bc

Observation 417a234e-34bf-4ad7-9e2d-7301d7c56a56 · outbound

This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 88

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no resolver link, observed 2026-08-04T17:49:55.684754Z

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source=pdf_text observed=2026-08-04T17:49:55.684754Z digest=sha256:22a37142fdc1d30b7475ecfecf058203059fe0501f38b9120a5853d3a927466b

Observation a2955a45-91f3-4402-91ac-9516619f46ff · outbound

This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 89

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no resolver link, observed 2026-08-04T17:49:55.734753Z

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source=pdf_text observed=2026-08-04T17:49:55.734753Z digest=sha256:a2e6eca3e280550cdfff6c588e932a93f2ba82d3c6a8e75da55f642fc454edcb

Observation 49b09f4a-3002-4ec9-9de4-17561fea72b5 · outbound

This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 90

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no resolver link, observed 2026-08-04T17:49:55.771204Z

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source=pdf_text observed=2026-08-04T17:49:55.771204Z digest=sha256:df5e53d590f23ff772e9a2adeebdf2c9bb671ff4a463807a703c94e271629f73

Observation 1fcb624f-3d40-4432-90ab-9423c9da330e · outbound

This paper cites v3ϕ+(1 +a +γ(α) i ) + 1 ϕ+ 1 1 +a +γ(α) i # (I65) H (−α) ij =−v 2Jij + 1 1−ϕ − +N δi,j.

Metastable phase separation and information retrieval in multicomponent mixtures v3ϕ+(1 +a +γ(α) i ) + 1 ϕ+ 1 1 +a +γ(α) i # (I65) H (−α) ij =−v 2Jij + 1 1−ϕ − +N δi,j

Reference 91

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no resolver link, observed 2026-08-04T17:49:55.804754Z

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source=pdf_text observed=2026-08-04T17:49:55.804754Z digest=sha256:f2e2eb1019d68949cafd8cd0c454edecdb47a61246454b20d6160a2e3a00c74d

Observation e40085e9-558f-4600-9750-1d3df0a5cc5a · outbound

This paper cites In this case, the liquid mixture is unstable towards a mode that generates a new phase, i.e., the number of phasesPincreases by one.

Metastable phase separation and information retrieval in multicomponent mixtures In this case, the liquid mixture is unstable towards a mode that generates a new phase, i.e., the number of phasesPincreases by one

Reference 92

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malformed identifier
no resolver link, observed 2026-08-04T17:49:55.844857Z

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source=pdf_text observed=2026-08-04T17:49:55.844857Z digest=sha256:a9ed07180166e021c713932b88309d35ac9688774070aece95b07b104ebd17bc

Observation ceaa4cbb-7b11-4112-a7c6-6c5c8a65e3eb · outbound

This paper cites an unresolved cited work.

Metastable phase separation and information retrieval in multicomponent mixtures Unresolved cited work

Reference 93

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no resolver link, observed 2026-08-04T17:49:55.884970Z

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source=pdf_text observed=2026-08-04T17:49:55.884970Z digest=sha256:dfa01f89ad2793a04d276ae2a50dedb256a99d3182f6811f38a652288ccc096f

Pith citing papers

Observation 623d53b5-5b34-4c3d-b3e7-7e0267e6f67c · inbound

Topology Controls the Phase Separation Dynamics of Many Component Fluid Mixtures cites this paper.

Topology Controls the Phase Separation Dynamics of Many Component Fluid Mixtures Metastable phase separation and information retrieval in multicomponent mixtures

Reference 30

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no resolver link, observed 2026-08-03T20:26:27.082384Z

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source=pdf_text observed=2026-08-03T20:26:27.082384Z digest=sha256:7fa7730112272b647e5e3028fdc7c8b40b4c2f9db993076ef67f76973db2c535