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Paper Citation Record · LEDGER

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions

As of 9 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2510.07149.

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

pith.paper-citation-record.v1
2510.07149 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T11:04:45.054750Z

measured 44 of 44 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 2026-07-14T05:19:40.881656Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation bcc25018-c551-4c38-bd91-9c951260163a · outbound

This paper cites write newline.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions write newline

Reference 1

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Observation a1bc85e0-dd86-47a8-94d6-9f51d8dac07a · outbound

This paper cites Ambrosio, N.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Ambrosio, N

Reference 2

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source=arxiv_source observed=2026-08-04T11:04:40.582601Z digest=sha256:97390fb9e8488517ba9d8069d3263c1b5fb70272edb8487e4a3d1b5fd18bbc4f

Observation af22092b-5d7e-4742-a678-ad16836e24b3 · outbound

This paper cites Bezanson, A.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Bezanson, A

Reference 3

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Observation 196352c0-5659-4dae-8ac2-11e780e963bf · outbound

This paper cites an unresolved cited work.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Unresolved cited work

Reference 4

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source=arxiv_source observed=2026-08-04T11:04:40.753380Z digest=sha256:d83fe51665012e4dfa28c98af0e53cf15805f361b2c95b6bf5c30a5bd73b5009

Observation 92cbf646-749b-455c-bc38-eda7991300c8 · outbound

This paper cites Br \'e zis, Op \'e rateurs maximaux monotones et semi-groupes de contractions dans les espaces de H ilbert , North-Holland Publishing Co., Amsterdam, 1973.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Br \'e zis, Op \'e rateurs maximaux monotones et semi-groupes de contractions dans les espaces de H ilbert , North-Holland Publishing Co., Amsterdam, 1973

Reference 5

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Observation 36bdfe6b-f89e-4d38-a24b-2eea65fb9222 · outbound

This paper cites Dondl, T.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Dondl, T

Reference 6

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Observation af6db00c-4e6a-4146-8fb7-2aa43a5d9f18 · outbound

This paper cites De Giorgi, A.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions De Giorgi, A

Reference 7

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Observation 0fd797b7-1d4e-41f6-ac7e-f8a817d325bd · outbound

This paper cites Disser and M.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Disser and M

Reference 8

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Observation 7ffdc763-7a21-420c-b938-53398b757c39 · outbound

This paper cites Derrida, J.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Derrida, J

Reference 9

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Observation cf95f28a-fd17-4e70-89c9-818dcfd141b9 · outbound

This paper cites Derrida, J.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Derrida, J

Reference 10

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Observation 3ed85050-de61-4bd7-9f23-68f9133395a6 · outbound

This paper cites Degond, F.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Degond, F

Reference 11

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Observation eec8c399-58e4-4dc2-b94d-00bcfed77fa9 · outbound

This paper cites Esposito, G.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Esposito, G

Reference 12

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Observation f9c50c9b-c41c-4456-9090-259c32ac8b91 · outbound

This paper cites Fehrman and B.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Fehrman and B

Reference 13

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Observation f5a8fcee-aeae-4b3c-a5a0-3cc3b4012e7e · outbound

This paper cites Frenzel and M.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Frenzel and M

Reference 14

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Observation 6ea0f3b0-ab8c-42c8-8912-eb3f457845df · outbound

This paper cites Gess and D.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Gess and D

Reference 15

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Observation 98b08c07-c9e2-4c96-9d67-1ef56ffb186d · outbound

This paper cites Giacomelli and F.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Giacomelli and F

Reference 16

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Observation 88fe13d1-5363-4942-ab25-c167ee6794ef · outbound

This paper cites Gianazza, G.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Gianazza, G

Reference 17

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Observation 5ffe363d-e885-4f22-822a-2fbf811fd20f · outbound

This paper cites Variational convergence for an irreversible exchange-driven stochastic particle system.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Variational convergence for an irreversible exchange-driven stochastic particle system

Reference 18

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Observation 3dc57665-a20d-4359-8ef9-a67306794484 · outbound

This paper cites Discrete-to-continuum limit for nonlinear reaction-diffusion systems via EDP convergence for gradient systems.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Discrete-to-continuum limit for nonlinear reaction-diffusion systems via EDP convergence for gradient systems

Reference 19

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Observation 0568070b-255b-4833-a77b-c5245cdc454b · outbound

This paper cites Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits

Reference 20

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Observation 14d80c4b-c47a-4521-aaad-67e5f7fcf0c1 · outbound

This paper cites Hraivoronska, A.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Hraivoronska, A

Reference 21

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Observation 043e761f-83cd-44bd-b848-01800511cb61 · outbound

This paper cites Liero, A.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Liero, A

Reference 22

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Observation d9fdb73f-ae2e-4086-9dee-0ce7acef8e84 · outbound

This paper cites Maas and A.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Maas and A

Reference 23

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Observation 7a3a8bbf-a2f7-4354-8f67-6e0a128256a6 · outbound

This paper cites Mielke, On Evolutionary -Convergence for Gradient Systems , Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity (A.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Mielke, On Evolutionary -Convergence for Gradient Systems , Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity (A

Reference 24

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Observation b2e84cde-1462-4f18-98d3-817bd5f01779 · outbound

This paper cites An introduction to the analysis of gradients systems.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions An introduction to the analysis of gradients systems

Reference 25

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Observation 44f93877-6097-4f7b-a6f9-69d7b24fba1d · outbound

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Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Unresolved cited work

Reference 26

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Observation 345c981f-40ca-4876-a3c9-8ff830ce5177 · outbound

This paper cites Mielke, A.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Mielke, A

Reference 27

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Observation 1cdc4fff-5aa3-46d3-a3fb-23a10bd8c0b5 · outbound

This paper cites Matthes, R.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Matthes, R

Reference 28

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Observation 2a1c5a59-c002-4155-98b7-c849abcd2a94 · outbound

This paper cites Mielke, R.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Mielke, R

Reference 29

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Observation 3004be2e-8f3b-4046-a65d-140292b53c87 · outbound

This paper cites Mielke, M.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Mielke, M

Reference 30

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Observation 01302090-9d56-4ae7-a22b-77d22dc616d7 · outbound

This paper cites Mielke, M.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Mielke, M

Reference 31

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Observation 487c764a-943e-465b-803e-9390c5dc27a2 · outbound

This paper cites Matthes, E.-M.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Matthes, E.-M

Reference 32

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Observation e9199d61-750a-411f-9e78-1d91f6959a10 · outbound

This paper cites Diffusive transport on the real line: semi-contractive gradient flows and their discretization.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Diffusive transport on the real line: semi-contractive gradient flows and their discretization

Reference 33

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Observation 704c97be-625b-410b-87ab-8c2831ae4370 · outbound

This paper cites Otto: Lubrication approximation with prescribed nonzero contact anggle.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Otto: Lubrication approximation with prescribed nonzero contact anggle

Reference 34

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Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Unresolved cited work

Reference 35

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Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Unresolved cited work

Reference 36

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Observation d5159a2d-534a-4b70-93e6-a57a1127a54f · outbound

This paper cites Rossi, A.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Rossi, A

Reference 37

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Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Rossi and G

Reference 38

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This paper cites Sandier and S.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Sandier and S

Reference 39

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Observation ffc15c42-173e-4263-bedb-b900fddd24c0 · outbound

This paper cites Serfaty: Gamma-convergence of gradient flows on H ilbert and metric spaces and applications.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Serfaty: Gamma-convergence of gradient flows on H ilbert and metric spaces and applications

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-04T11:04:44.734751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation bd6981dd-23e4-46f0-a4a5-c3cff3803591 · outbound

This paper cites Stephan: EDP -convergence for a linear reaction-diffusion system with fast reversible reaction.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Stephan: EDP -convergence for a linear reaction-diffusion system with fast reversible reaction

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-04T11:04:44.857187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:04:44.857187Z digest=sha256:bfcf1744cc1512e27b094a2d649f1a7b756f70f0dc6ac08b51849901a9eb7921

Observation c0660481-a5bc-432a-90ee-5d482ffc309c · outbound

This paper cites an unresolved cited work.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-04T11:04:44.974835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:04:44.974835Z digest=sha256:e50862c56b2a658a25474dad3c22c7e394e94943dff665852498ad32220c07f5

Observation c05d0065-971c-4d22-9a39-03b68409c988 · outbound

This paper cites an unresolved cited work.

Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions Unresolved cited work

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-04T11:04:45.054750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T11:04:45.054750Z digest=sha256:38f46cd92387127b70a7784c037e5db1325a70eacd8140a2e11974d5ef52f0c9

Pith citing papers

Observation 8fd38f0c-fd73-4e52-92e7-2cd5c550bd5d · inbound

From diffusion to transmission via EDP-convergence: a paradigmatic multiscale limit cites this paper.

From diffusion to transmission via EDP-convergence: a paradigmatic multiscale limit Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions

Reference 44

Resolution
unresolved
no resolver link, observed 2026-07-14T05:19:40.881656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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