Paper Citation Record · LEDGER

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture

As of 16 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2603.09728.

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

pith.paper-citation-record.v1
2603.09728 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-15T00:05:31.854903Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact14
verified fuzzy0
unresolved21
parse uncertain0
malformed identifier5
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External citation measurements

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Outbound references

Observation aa122bfd-be88-4b6a-8bdd-29a9a2628dc7 · outbound

This paper cites an unresolved cited work.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Unresolved cited work

Reference 1

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Observation 3891f60f-b526-4c9e-b487-c9cc12b0fb93 · outbound

This paper cites Miehe, F.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Miehe, F

Reference 2

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Observation 5a45075e-ae09-469a-8207-2d894cc1e450 · outbound

This paper cites Ambati, T.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Ambati, T

Reference 3

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Observation 37960631-8b37-43de-b521-8dff3dbc2fa5 · outbound

This paper cites Kalina, T.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Kalina, T

Reference 4

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Observation 3b3695ba-f1c1-4a5b-a4d3-f62e9a6ae486 · outbound

This paper cites Gerasimov, U.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Gerasimov, U

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-15T00:10:52.312765Z

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Observation 280a38ee-987d-4b28-addd-ba4966a581d1 · outbound

This paper cites Nagaraja, U.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Nagaraja, U

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-15T00:10:52.302889Z

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Observation 09c39e5b-97f7-48dc-8b1c-96755227582b · outbound

This paper cites an unresolved cited work.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-15T00:05:31.854903Z

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Observation 61b276f5-e997-4714-bbbb-ed4611ccd166 · outbound

This paper cites Girolami, E.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Girolami, E

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-15T00:10:52.278946Z

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Observation 7d405a2a-c04d-4485-9445-2fc32c3e04fb · outbound

This paper cites Duffin, E.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Duffin, E

Reference 9

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Observation 95bec573-7eeb-4598-85af-b4d86a4c3787 · outbound

This paper cites an unresolved cited work.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-15T00:05:31.854903Z

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Observation 216dc43b-8ba9-4b5c-b2bb-5bf7d3f2c3fe · outbound

This paper cites Pulikkathodi, E.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Pulikkathodi, E

Reference 11

Resolution: verified exact; doi, observed 2026-07-15T00:10:52.249220Z

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Observation 8f91660c-0d60-4ca1-88eb-882f8bd251ff · outbound

This paper cites an unresolved cited work.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-07-15T00:10:52.324239Z

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Observation 22084834-3433-4750-a01b-6b61b324dc0a · outbound

This paper cites Kuncham, S.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Kuncham, S

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-15T00:10:52.293516Z

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Observation 089b7aae-5aa2-4e52-b155-c7524fff3e55 · outbound

This paper cites an unresolved cited work.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-07-15T00:10:52.315573Z

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Observation da266d51-2e43-46a2-8fc7-2f7047c573a1 · outbound

This paper cites Cervera, G.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Cervera, G

Reference 15

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Observation f987c820-dabd-48a4-9341-87d9cf723974 · outbound

This paper cites Bharali, F.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Bharali, F

Reference 16

Resolution: verified exact; doi, observed 2026-07-15T00:10:52.362907Z

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Observation df9f7b51-633f-4f73-b42c-87091e3d2139 · outbound

This paper cites De Lorenzis, T.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture De Lorenzis, T

Reference 17

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Observation 3193b26c-31cf-4887-9606-f4cb05ae14ac · outbound

This paper cites Khimin, L.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Khimin, L

Reference 18

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Observation 3e5c907a-dc0c-43f6-8857-7337f25a52cd · outbound

This paper cites Heister, M.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Heister, M

Reference 19

Resolution: verified exact; doi, observed 2026-07-15T00:10:52.305155Z

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Observation 059f67db-b640-4c41-bffc-83de768d2450 · outbound

This paper cites Kristensen, Phase field methods for fracture - With a special focus on hydrogen assisted fracture, Ph.D.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Kristensen, Phase field methods for fracture - With a special focus on hydrogen assisted fracture, Ph.D

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-15T00:05:31.854903Z

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Observation 00820daa-300e-4916-8197-c5d0e53a271c · outbound

This paper cites Evensen, Data Assimilation: The Ensemble Kalman Filter, Springer, Berlin, Heidelberg, 2009.doi: 10.1007/978-3-642-03711-5.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Evensen, Data Assimilation: The Ensemble Kalman Filter, Springer, Berlin, Heidelberg, 2009.doi: 10.1007/978-3-642-03711-5

Reference 21

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Observation 27eace1c-02de-43db-ba5a-0f2f951c582c · outbound

This paper cites an unresolved cited work.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-15T00:05:31.854903Z

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Observation a83f9b99-bc31-46eb-9679-ed27f0ed4d97 · outbound

This paper cites Inverse Problems and Data Assimilation.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Inverse Problems and Data Assimilation

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-15T00:05:31.854903Z

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Observation 20559c5d-8af5-4eee-99d6-ac69eba160b1 · outbound

This paper cites Evensen, The Ensemble Kalman Filter: Theoretical formulation and practical implementation, Ocean Dynamics 53 (4) (2003) 343–367.doi:10.1007/s10236-003-0036-9.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Evensen, The Ensemble Kalman Filter: Theoretical formulation and practical implementation, Ocean Dynamics 53 (4) (2003) 343–367.doi:10.1007/s10236-003-0036-9

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-15T00:05:31.854903Z

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Observation 2943ce93-b864-44b0-95aa-ea9f4b45664e · outbound

This paper cites Gordon, D.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Gordon, D

Reference 25

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Observation d6be9a31-5393-45c2-afc4-e281c6d1fcc4 · outbound

This paper cites an unresolved cited work.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Unresolved cited work

Reference 26

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Observation c718c5df-52bc-4e46-84e9-675fb7543d89 · outbound

This paper cites an unresolved cited work.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-15T00:05:31.854903Z

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Observation efba0551-e6c6-4b8a-bfbf-adaac3c73b08 · outbound

This paper cites Doucet, S.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Doucet, S

Reference 28

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Observation 6fd59d0c-11dc-459d-984e-cfd71d86d2ed · outbound

This paper cites Giles, M.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Giles, M

Reference 29

Resolution: verified exact; doi, observed 2026-07-15T00:10:52.269454Z

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Observation 81cedcb8-c20e-45e7-beaf-eb9e2cd00050 · outbound

This paper cites Bengtsson, P.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Bengtsson, P

Reference 30

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Observation c660da24-9193-4578-9d76-265b41cbdef7 · outbound

This paper cites Statistical accuracy of the ensemble Kalman filter in the near-linear setting.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Statistical accuracy of the ensemble Kalman filter in the near-linear setting

Reference 31

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Observation 66532caa-7261-49dd-a957-773cf63b9511 · outbound

This paper cites Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting

Reference 32

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Observation cd62c66d-fcba-4285-aae5-a34924058c76 · outbound

This paper cites Kirkesæther Brun, T.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Kirkesæther Brun, T

Reference 33

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Observation 8c613f76-878e-447b-8de2-4be3c81fe412 · outbound

This paper cites Hofacker, C.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Hofacker, C

Reference 34

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Observation 167e7244-9be2-4594-9e5a-40cd80a07c99 · outbound

This paper cites Schillings, A.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Schillings, A

Reference 35

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Observation c6352ccd-4cf4-46d1-9c91-3ab37c34db0a · outbound

This paper cites an unresolved cited work.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Unresolved cited work

Reference 36

Resolution: verified exact; doi, observed 2026-07-15T00:10:52.334831Z

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Observation 6b0e712d-6637-4fbe-accc-7aa649a5a39a · outbound

This paper cites an unresolved cited work.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-15T00:05:31.854903Z

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Observation d3abe89e-bc18-43df-8ecd-2efbd0a67b3c · outbound

This paper cites Gaspari, S.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Gaspari, S

Reference 38

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Observation 0c83e3fd-90a1-4536-85ee-9f94b0d1967a · outbound

This paper cites Bezanson, A.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Bezanson, A

Reference 39

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Observation e7745186-e805-4799-a4fb-c1835c6e00a9 · outbound

This paper cites Carlsson, F.

A Regularized Ensemble Kalman Filter for Stochastic Phase Field Models of Brittle Fracture Carlsson, F

Reference 40

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Pith citing papers

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