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Paper Citation Record · LEDGER

A topological approach to the Cahn-Hilliard equation and hyperuniform fields

As of 14 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2509.05339.

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

pith.paper-citation-record.v1
2509.05339 v1

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:33:20.412234Z

measured 50 of 50 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 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

50 of 50 outbound references displayed

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  • verified fuzzy22
  • unresolved27
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 62a5c651-d44e-4337-b8f7-ba04d744cca3 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 087fbbcc-ea81-4f0d-b0ee-d21abec2898c · outbound

This paper cites Alikakos, P.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Alikakos, P

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b280970c-a1f9-436c-8c0e-073bceb05635 · outbound

This paper cites Backofen, A.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Backofen, A

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e4864868-b716-498a-a60a-33a25c59cc8b · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8d853cd7-7280-4dc2-beac-c097f5599903 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 5

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6773b95b-11d7-4f51-9046-ca400267c589 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 6

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 42f69782-c963-49ee-bb2c-757e7d01f5ea · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 7

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 4abc5788-254d-4fd0-a1cb-b3d463eb275e · outbound

This paper cites De Luca, X.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields De Luca, X

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 0c61cf11-cf6f-4f16-b3b5-56c3d453fac5 · outbound

This paper cites Edelsbrunner, J.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Edelsbrunner, J

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 9e870fa9-0bf8-40b0-8fd8-e4df9b5ec06e · outbound

This paper cites Edelsbrunner and J.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Edelsbrunner and J

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 4cc5a534-5980-4247-bbe9-b53aa0662cb4 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation da4a5087-656a-42b7-a002-4aa549056809 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 12

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 07e86345-a344-41b4-8f4a-0df89dd5943a · outbound

This paper cites 2, 353–372.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields 2, 353–372

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2637fe10-dd35-4871-a2ba-da539054a59f · outbound

This paper cites Feng and A.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Feng and A

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 692689a1-31f7-461f-857f-57af97172067 · outbound

This paper cites Gierer and H.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Gierer and H

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 3ad958b7-70cd-4d0b-a5d7-992a6723a019 · outbound

This paper cites J.Comput.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields J.Comput

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 0923f58b-4785-4cd1-9040-e61fdc1813fc · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 17

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6ad1389b-5559-49f6-9e9a-be504e69d367 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c76609bc-1a07-415f-9811-e7f6f8ec8a2f · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 19

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f4c4f641-7edf-4f95-ae7b-ae9f7ab73c7b · outbound

This paper cites npj Comput.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields npj Comput

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c14924b5-f428-47d2-9a87-38858b801b10 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f2ede39b-75b5-4bb2-828f-a2dd1f0a996f · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 25845225-1f99-431a-8dc7-ae594972db8c · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 23

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation bba5c17b-ec11-443a-85bc-484dd1349d7a · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 24

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 0aeab2f4-5e57-4d77-a4bf-24f48699f701 · outbound

This paper cites Ma and S.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Ma and S

Reference 25

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5dbf6f40-6b6c-4b7d-b610-62688634d24a · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 26

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation cbb136f0-52e9-4433-9672-86fc09d70de1 · outbound

This paper cites Martelli, S.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Martelli, S

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation d2501e4b-4591-4f5a-b690-1096c209fc07 · outbound

This paper cites Mayer, V.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Mayer, V

Reference 28

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5bbc9bee-0001-47c8-a480-ce05a6df23ae · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 29

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 39ddc154-8aa3-416b-b675-7e246951e960 · outbound

This paper cites Miranville,The Cahn–Hilliard equation: recent advances and applications.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Miranville,The Cahn–Hilliard equation: recent advances and applications

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:33:26.404599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation db9b9b79-528e-493d-b922-fdc78d202f86 · outbound

This paper cites Otter, M.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Otter, M

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:33:26.201586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1685bc50-70b1-4034-9621-83b516951ebf · outbound

This paper cites Oudot and E.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Oudot and E

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:33:25.927899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 353588df-9366-416d-bd64-1715634c9390 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:33:25.616875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2e8d5586-c2ef-48fa-b5d8-4f28940fac55 · outbound

This paper cites Pego, Front migration in the nonlinear Cahn-Hilliard equation.Proc.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Pego, Front migration in the nonlinear Cahn-Hilliard equation.Proc

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:33:25.261587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 38621c37-58a2-42cf-940c-c9e4564d204b · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:33:24.888125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 0487ce0b-9b2f-42e2-bdef-4d97f284f5ce · outbound

This paper cites Data-efficient inverse design of spinodoid metamaterials.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Data-efficient inverse design of spinodoid metamaterials

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:33:20.791303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation ba0685f7-8f4c-43d3-8749-3dd4d3ecb8ab · outbound

This paper cites Salvalaglio, M.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Salvalaglio, M

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:33:24.526272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:18.850458Z digest=sha256:76cc36ae6f704842dd8f5c325d8c8934c507930fa12da911a6c23e934d89bd37

Observation 0594af96-86c6-49e0-a9f3-87f93f447415 · outbound

This paper cites Salvalaglio, D.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Salvalaglio, D

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:33:24.226386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:18.961931Z digest=sha256:28a179427a56a8eb8a5918d6159d7e5235ed4fe1f58df8e1a1b90f85b202c7ac

Observation 705def4f-0df8-4394-914e-cceaccfcdbac · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:33:23.801797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:19.155993Z digest=sha256:46f06dd9923ae1df95749f81d210fcde316c08c893e85774fe8fd6318fe5366c

Observation 00a4e1e7-ee14-429f-8ec9-1a7c8de285b2 · outbound

This paper cites Advan.9 (2023), no.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Advan.9 (2023), no

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:33:23.442560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:19.276616Z digest=sha256:ea03f0e622e1405586082474ea94d2fbf311afa87b87e67dfe3e8d0ecf9615ce

Observation bdee1f38-a0ef-46b9-9bb9-e3d9f303f92c · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:33:23.155475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:19.404162Z digest=sha256:823371ec8e2baa20f6def2adf9d7b7e612680e1dfd5a8e3b8fb590237b74910f

Observation 203477af-9110-4cce-8c3b-e6ebba9d4ded · outbound

This paper cites Wasserstein Stability for Persistence Diagrams.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Wasserstein Stability for Persistence Diagrams

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-05T12:33:19.493543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:33:19.493543Z digest=sha256:a95b38f2e932880c451098377d2b98f41249f9035ce17207cc148e2f0b33e239

Observation 52d8b653-3cb0-4cc1-a19b-21bc49623f95 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:33:22.871596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:19.552158Z digest=sha256:c4df6a92860b3b35ca22c4ec267cde0c50cf1d58cf9161017c3a65a443ca5497

Observation 5f48cd84-b3a4-47bd-92be-71cf113ca007 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:33:22.622475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:19.567997Z digest=sha256:a39b70c03da53ec62179005372f48acfde8d6bbb4bd5c8b2a539984e7387d6fc

Observation dfba6992-9372-4ced-b164-70b2d31e231b · outbound

This paper cites Torquato, Hyperuniform states of matter.Physics Reports745(2018), 1–95.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Torquato, Hyperuniform states of matter.Physics Reports745(2018), 1–95

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:33:22.409998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:19.594433Z digest=sha256:c4482270f59708ade1b9f134493550da39a2ccc27f9eea63a38f2072d1fd42b3

Observation 0c5b08aa-927f-481c-b999-8ea242355f67 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:33:22.170481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:19.716043Z digest=sha256:ca99da6e5059c7271830fac92a0b4854ef9123b01a247880969d9647cb4e8cc1

Observation 4d592dab-0e01-4595-a1fc-4ad342b35363 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:33:21.900088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:19.905319Z digest=sha256:37e7d44d28ea6f661634ce12c0ee8af46a72d4ac69262eedb62c012297d1d7ba

Observation d0dd82e4-5801-46ab-888f-8368daf64938 · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:33:21.664078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:20.072657Z digest=sha256:1bbc4b7cfe6489875d7b70541ec5679abd51a8bc5844faf4e01d6cebd448dd82

Observation 8f045ee8-521b-47cb-90aa-eaafdeadcdc8 · outbound

This paper cites Yu, C.-W.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Yu, C.-W

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:33:21.447805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:20.215095Z digest=sha256:666e5ef50fc994735bb850b001a4105c4ba07217560ea9bea2b277783f9c5515

Observation 4f90e2ec-d0bb-410d-bcf7-7e61f30e6ade · outbound

This paper cites an unresolved cited work.

A topological approach to the Cahn-Hilliard equation and hyperuniform fields Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:33:21.142547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:33:20.412234Z digest=sha256:7203a2428c759f0c59409b4d993dd9513a415fea65389acba95401a7751f6841

Pith citing papers

No inbound Pith citation observations are available.