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Paper Citation Record · LEDGER

A unified variational model for grain boundary dynamics incorporating microscopic structure

As of 22 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2411.15747.

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

pith.paper-citation-record.v1
2411.15747 v1

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:07:17.281605Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

59 of 59 outbound references displayed

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  • unresolved21
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c58c3a42-cd06-4d61-bcee-1bb3cb9afa84 · outbound

This paper cites an unresolved cited work.

A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 1

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 2

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Observation 5a172a06-611a-4385-9985-f590514c12a5 · outbound

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 3

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Observation 395c2af3-54bf-4d56-bf24-3a5f59480154 · outbound

This paper cites Cahn and J.E.

A unified variational model for grain boundary dynamics incorporating microscopic structure Cahn and J.E

Reference 4

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Observation 77177c50-7267-4c3d-8a9c-15cdd673fe60 · outbound

This paper cites Chen and W.

A unified variational model for grain boundary dynamics incorporating microscopic structure Chen and W

Reference 5

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Source-reported events for the cited work

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Observation c3b6ac58-9267-491f-bafa-d77c3f6414f9 · outbound

This paper cites Chen, H.L.

A unified variational model for grain boundary dynamics incorporating microscopic structure Chen, H.L

Reference 6

Resolution
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Source-reported events for the cited work

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 7

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Source-reported events for the cited work

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Observation 2955d878-189d-4979-b2fc-443e9c59c945 · outbound

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0a5286f4-2fc7-4a67-b028-6b4e4aebf230 · outbound

This paper cites Du and X.

A unified variational model for grain boundary dynamics incorporating microscopic structure Du and X

Reference 9

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Source-reported events for the cited work

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Observation beeb1a26-48ef-4cbb-99d2-ee81bd552462 · outbound

This paper cites Elsey, S.

A unified variational model for grain boundary dynamics incorporating microscopic structure Elsey, S

Reference 10

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Source-reported events for the cited work

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Observation 363fdddb-c63b-4bae-aa6d-578ba120f0ad · outbound

This paper cites Epshteyn, C.

A unified variational model for grain boundary dynamics incorporating microscopic structure Epshteyn, C

Reference 11

Resolution
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Source-reported events for the cited work

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Observation f811e0bd-3d3c-42cf-88ed-262883eeee06 · outbound

This paper cites Epshteyn, C.

A unified variational model for grain boundary dynamics incorporating microscopic structure Epshteyn, C

Reference 12

Resolution
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Source-reported events for the cited work

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Observation 956d269f-c74a-4433-b0b0-9619a8a7e35f · outbound

This paper cites Esedoglu.

A unified variational model for grain boundary dynamics incorporating microscopic structure Esedoglu

Reference 13

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Source-reported events for the cited work

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Observation a8f46bd4-74a6-419a-b7f4-80634c6952a4 · outbound

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 14

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Observation c799279c-8d47-421e-a44d-112b6bf7ec70 · outbound

This paper cites Gong, H.Y.

A unified variational model for grain boundary dynamics incorporating microscopic structure Gong, H.Y

Reference 15

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Source-reported events for the cited work

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Observation fb7abedd-badd-4943-b02d-2646d30d995d · outbound

This paper cites an unresolved cited work.

A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation bfa9683a-11e3-4ddb-aff9-ad611280ef21 · outbound

This paper cites Han, S.L.

A unified variational model for grain boundary dynamics incorporating microscopic structure Han, S.L

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 66930318-b929-4fa4-8c67-21e03048094f · outbound

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 18

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Source-reported events for the cited work

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Observation 9c1a2981-7dd5-4ddd-9ce4-01af00588f44 · outbound

This paper cites Hirth, G.

A unified variational model for grain boundary dynamics incorporating microscopic structure Hirth, G

Reference 19

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Source-reported events for the cited work

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Observation fb1bb2c8-056b-4bad-87d2-f7713d584919 · outbound

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A unified variational model for grain boundary dynamics incorporating microscopic structure Hirth and J

Reference 20

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Observation 28259ba4-15b1-4589-a15d-2700cb99c367 · outbound

This paper cites Hirth and R.C.

A unified variational model for grain boundary dynamics incorporating microscopic structure Hirth and R.C

Reference 21

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Source-reported events for the cited work

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Observation e80850fc-8ca1-4a14-a9d5-6c9bca2baafc · outbound

This paper cites Kazaryan, Y.

A unified variational model for grain boundary dynamics incorporating microscopic structure Kazaryan, Y

Reference 22

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Source-reported events for the cited work

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Observation aa93be92-e2a1-438b-9714-51d7f0986588 · outbound

This paper cites Kinderlehrer and C.

A unified variational model for grain boundary dynamics incorporating microscopic structure Kinderlehrer and C

Reference 23

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Source-reported events for the cited work

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Observation eb832d24-1297-4d94-8c60-a54c43902be3 · outbound

This paper cites Kinderlehrer, I.

A unified variational model for grain boundary dynamics incorporating microscopic structure Kinderlehrer, I

Reference 24

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Source-reported events for the cited work

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Observation 0d668b15-749e-4557-ba07-0017cd7d5b17 · outbound

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 25

Resolution
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Source-reported events for the cited work

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Observation 19da8d01-8a98-4a46-aa80-384236c4dff0 · outbound

This paper cites Kobayashi, J.A.

A unified variational model for grain boundary dynamics incorporating microscopic structure Kobayashi, J.A

Reference 26

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Source-reported events for the cited work

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Observation 7434492a-e9c9-4cc9-9e45-025b95026614 · outbound

This paper cites Lazar, R.D.

A unified variational model for grain boundary dynamics incorporating microscopic structure Lazar, R.D

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 7dd689ad-b1a7-496b-8fa6-408fae331ac0 · outbound

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 28

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Source-reported events for the cited work

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Observation 8c9d8001-b006-42b2-bc83-2655a384d2c6 · outbound

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 29

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Source-reported events for the cited work

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Observation 479fd280-7b80-4801-87ba-c489cd4d169c · outbound

This paper cites McReynolds, K.A.

A unified variational model for grain boundary dynamics incorporating microscopic structure McReynolds, K.A

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a40f9ceb-4054-47db-9357-05d90d40c958 · outbound

This paper cites Onsager principle as a tool for approximation.

A unified variational model for grain boundary dynamics incorporating microscopic structure Onsager principle as a tool for approximation

Reference 31

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 761db759-65e8-4e43-926f-f65bb9fd5ba5 · outbound

This paper cites Molodov, V.A.

A unified variational model for grain boundary dynamics incorporating microscopic structure Molodov, V.A

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c4d0b375-7974-4fbf-9b18-2460dcce419e · outbound

This paper cites an unresolved cited work.

A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 46aa39eb-5a44-4252-b2e9-4cee3d79082c · outbound

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 44fad072-5dd3-4e1b-9fd4-ff1892868919 · outbound

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a446351a-629e-47cd-a8d5-9fa587c2a7d5 · outbound

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A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d4e420bd-beb3-41c5-91db-e0e4deffa908 · outbound

This paper cites Rajabzadeh, M.

A unified variational model for grain boundary dynamics incorporating microscopic structure Rajabzadeh, M

Reference 37

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b0caa231-ff3e-44d1-bb95-7c2f9283537c · outbound

This paper cites Salvalaglio, R.

A unified variational model for grain boundary dynamics incorporating microscopic structure Salvalaglio, R

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.723004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.162117Z digest=sha256:b6087be64c1d56f0d5f0babcdf38c988d39a2ee67f13fde38e2727206561b0d3

Observation d1995763-8b15-424d-9ebc-510693ddd248 · outbound

This paper cites an unresolved cited work.

A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:17.703469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.167181Z digest=sha256:d92892b1a1296955a86bb5b913e8d1f807d4226fe1796fd655e65b6ca1de7930

Observation f97d7871-f44c-4206-ad22-3c0de4a3b5a7 · outbound

This paper cites Srinivasan and J.W.

A unified variational model for grain boundary dynamics incorporating microscopic structure Srinivasan and J.W

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.683769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.172164Z digest=sha256:c6e5ef130f8cd891d673bd05d616ef8c4b2eda872c7f143f56bb9cdf1ae94895

Observation a1978e2f-3ef0-4bf1-81f5-ac871a1ffe6f · outbound

This paper cites Sutton and R.W.

A unified variational model for grain boundary dynamics incorporating microscopic structure Sutton and R.W

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.666841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.177024Z digest=sha256:c0e14b8c1fefd70b1500fff8e554f392ab2345bb4876303c7fe333ae5dca9ad3

Observation 63bdec50-9c11-4938-bbb5-1bc74702ac83 · outbound

This paper cites Taylor and J.W.

A unified variational model for grain boundary dynamics incorporating microscopic structure Taylor and J.W

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.649612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.182345Z digest=sha256:49b11f61e734b111cd5b69429b13caf016a99744f006c4f42c48d47d6ab256e2

Observation 9e4ef42a-b1ce-43af-9eb0-46eb7eaeb030 · outbound

This paper cites an unresolved cited work.

A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:17.632877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.187897Z digest=sha256:99cc43fba897ada85c6dc245098acfeca84b801a2c445289fb632924a1a605e7

Observation bd0716e7-24e5-4274-aa4d-33232bca33bf · outbound

This paper cites Thomas, K.T.

A unified variational model for grain boundary dynamics incorporating microscopic structure Thomas, K.T

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.613643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.193542Z digest=sha256:cb7610946db4b452732e111566a424f971ddd1f70bdb99e8b94e4d478149bd78

Observation a1fb811f-11ba-4ce7-b6d7-081f80d354de · outbound

This paper cites an unresolved cited work.

A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:17.593791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.199201Z digest=sha256:4fb7fed9237acc92c050030148ab3baef62463c77be5269d936b7e6d10c6c4ea

Observation f1c964b5-baad-4286-a1cc-c979a1245b08 · outbound

This paper cites Trautt and Y.

A unified variational model for grain boundary dynamics incorporating microscopic structure Trautt and Y

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.575073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.204734Z digest=sha256:05cbb2ad770ac3517b0b7c61ba71339e203e9445c0be3fc6d1466a37fae70eff

Observation 55072ff8-5f2d-452f-aee9-f59a74ad8318 · outbound

This paper cites Upmanyu, D.

A unified variational model for grain boundary dynamics incorporating microscopic structure Upmanyu, D

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.557666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.210985Z digest=sha256:bff0bedb27054c162de54bd0521b42479119b0d49edd7017493d4e4d8d83e9ed

Observation 2946dda2-67cd-4a88-9bd6-ea02241d98ee · outbound

This paper cites an unresolved cited work.

A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:17.539183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.216751Z digest=sha256:54b3b5148487a941f7b02b1d425298f0b1747ad2e11d8c815e34ee87a93dea4b

Observation f1e93987-8545-411b-8e9e-8d76815f8c31 · outbound

This paper cites Wei, S.L.

A unified variational model for grain boundary dynamics incorporating microscopic structure Wei, S.L

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.522142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.222114Z digest=sha256:7e552677fe81c3fbe229c780011898ec93eb1b4854aa3e26d95b3118035200d0

Observation 8a229c3b-32f9-4ea9-9a5e-8edb320b13a7 · outbound

This paper cites Wei, L.C.

A unified variational model for grain boundary dynamics incorporating microscopic structure Wei, L.C

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.504642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.227350Z digest=sha256:00be11f29ad205b63b9a4fcd7f3f29888068cdd1e4616762ffaedd4ba820d8d4

Observation dcdb8287-4578-4711-b989-66a8b001e79a · outbound

This paper cites Wu and P.W.

A unified variational model for grain boundary dynamics incorporating microscopic structure Wu and P.W

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.484357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.234841Z digest=sha256:624c72169425eae448e92a2f11613d911c6da9af87215b65fea792566f197855

Observation e213667e-897f-4c43-aff8-b9e38d5f0225 · outbound

This paper cites Yamanaka, K.

A unified variational model for grain boundary dynamics incorporating microscopic structure Yamanaka, K

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.464449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.240539Z digest=sha256:d58e12e4881cfdd24e365f7c4b4f0b86ff0c6b3b88e5d13b79ae9457df405b3c

Observation c82c954d-cd81-4ddb-b57c-81bb7cb57d1a · outbound

This paper cites an unresolved cited work.

A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:17.444324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.247029Z digest=sha256:b600ed401a82d629339f89421d994770d5c09772605e11fa5850df4f3907b2f6

Observation 894c9c3c-40fd-438e-92c1-13cab896b554 · outbound

This paper cites Zhang, Y.J.

A unified variational model for grain boundary dynamics incorporating microscopic structure Zhang, Y.J

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.425357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.252257Z digest=sha256:e10bf3c2c3f461ad56d3875dc9186ae4a6648a9ac6be5e4550d298eb7562bab8

Observation 26b6bd44-980b-4aab-aa3d-af9681ef1910 · outbound

This paper cites Zhang, J.

A unified variational model for grain boundary dynamics incorporating microscopic structure Zhang, J

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.404633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.257293Z digest=sha256:0b32b88ae411938ac175e7daecfc4a48f40d289de0309f118acf826db5f66c46

Observation 9b8c6554-48c5-4c57-99f0-4faff6c8cffc · outbound

This paper cites Zhang and Y.

A unified variational model for grain boundary dynamics incorporating microscopic structure Zhang and Y

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.386412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.262718Z digest=sha256:efd0dd10e9106f9317fc2bf7efaf2ec56a143d2478c1ad1ef7ca55077f5015a0

Observation dd46ef35-17e6-4d3d-b247-eb15150de4ec · outbound

This paper cites Zhang and Y.

A unified variational model for grain boundary dynamics incorporating microscopic structure Zhang and Y

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.367720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.270392Z digest=sha256:a9aa18c4f692fb98a98c76fd987fcbee3f4708a6a5498cbcbf783c33576713ad

Observation 95a3595c-fb13-4fea-8c7c-c7bf23228d6f · outbound

This paper cites an unresolved cited work.

A unified variational model for grain boundary dynamics incorporating microscopic structure Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:07:17.345825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.275993Z digest=sha256:74bcd70137529b3ec206f853b8111ba2e7925361baf3567611dd199438feefd1

Observation f4b4a01f-f7bd-4b7e-a151-1ada45483e1e · outbound

This paper cites Zhu and Y.

A unified variational model for grain boundary dynamics incorporating microscopic structure Zhu and Y

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:07:17.325485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:07:17.281605Z digest=sha256:a0dbf2f0de3ff3de8b0f13cb1312027e10b41012738c69d6077250c606b23e67

Pith citing papers

No inbound Pith citation observations are available.