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Paper Citation Record · LEDGER

Variational modeling adapted to the medium with gradient properties

As of 14 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.16005.

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

pith.paper-citation-record.v1
2607.16005 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:42:12.887214Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

21 of 21 outbound references displayed

  • verified exact6
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation da0d3c1e-a2a1-4259-bb74-4b93d4ea108c · outbound

This paper cites an unresolved cited work.

Variational modeling adapted to the medium with gradient properties Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:11.440645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:11.440645Z digest=sha256:097de4923e908981bba39e312e70771ca1abd97f416cc34b356fa7dd0c9b1d77

Observation 584daaf8-38f7-4e46-9457-2363c0361ded · outbound

This paper cites an unresolved cited work.

Variational modeling adapted to the medium with gradient properties Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:11.586100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:11.586100Z digest=sha256:390a038d9a24b9cf389c1ec8adc5371fb9b809eb362477d12d6a863f9863bca6

Observation 6c7fb16e-15ae-41ee-a036-d325fad0a24d · outbound

This paper cites Nait-ali, Nonlocal modeling of a randomly distributed and aligned long- fiber composite material, Comptes Rendus M´ ecanique 345 (3) (2017) 192– 207.

Variational modeling adapted to the medium with gradient properties Nait-ali, Nonlocal modeling of a randomly distributed and aligned long- fiber composite material, Comptes Rendus M´ ecanique 345 (3) (2017) 192– 207

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:11.643379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:11.643379Z digest=sha256:655cfa1e9415dc8739e8cbad4eac01fe367e389bc75c8ba9c6508fce2fc15f9f

Observation ca60a73c-e721-4d19-b329-6f6937e78bef · outbound

This paper cites an unresolved cited work.

Variational modeling adapted to the medium with gradient properties Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:11.735886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:11.735886Z digest=sha256:efdde5bab57bc9cd89bc0e5d541a25b18a3827f45466ce8e41a581d6ba19fcf4

Observation 90984cab-70d6-4a47-a4ec-5d89c73df70d · outbound

This paper cites an unresolved cited work.

Variational modeling adapted to the medium with gradient properties Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:11.824692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:11.824692Z digest=sha256:53bb8c7c765c5304a5ff4a8660cd855b970b2639e0c161b0d7355446456f289c

Observation 63df5f17-dbfb-463f-994f-0746834b1af8 · outbound

This paper cites an unresolved cited work.

Variational modeling adapted to the medium with gradient properties Unresolved cited work

Reference 7

Resolution
verified exact
doi, observed 2026-08-01T21:43:22.091958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-01T21:42:11.874797Z digest=sha256:63c22d6517997785b83461cab259eb311a3e600e2f1533d0bad55feee9b03f1c

Observation e2c3c868-ad50-447f-87a6-9f10597aa025 · outbound

This paper cites Francfort, J.-J.

Variational modeling adapted to the medium with gradient properties Francfort, J.-J

Reference 8

Resolution
verified exact
doi, observed 2026-08-01T21:43:21.925725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-01T21:42:11.941779Z digest=sha256:4aa40505f8cb01952f58eb2def396f420d0d84dabed153f46395bcb59aa1fcab

Observation 31c88737-2892-4402-ab14-b273a31c9c62 · outbound

This paper cites Hashin, S.

Variational modeling adapted to the medium with gradient properties Hashin, S

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:12.001362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:12.001362Z digest=sha256:ca8328fb65ce9db2b90a9df9377287db2cfff023d3060b6383faa85f6318f147

Observation 927f5a8f-3a54-435c-9bdb-8af715d87867 · outbound

This paper cites Michaille, A.

Variational modeling adapted to the medium with gradient properties Michaille, A

Reference 10

Resolution
verified exact
doi, observed 2026-08-01T21:43:21.737670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-01T21:42:12.073129Z digest=sha256:cea2b2d788c0f8e9b0df6551473a560604fe503af208b1b45c4c0ab8a0995f5d

Observation acd142b1-20c9-46ea-9a27-fa7f4911d490 · outbound

This paper cites Nait-Ali, Volumic method for the variational sum of a 2D discrete model, Comptes Rendus - Mec.

Variational modeling adapted to the medium with gradient properties Nait-Ali, Volumic method for the variational sum of a 2D discrete model, Comptes Rendus - Mec

Reference 11

Resolution
verified exact
doi, observed 2026-08-01T21:43:21.623349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-01T21:42:12.165088Z digest=sha256:5453f06e900da0f57abdf4399d854510086e724d997abe0743588885c2051c16

Observation 54bc0b78-9cce-41f4-b26d-d08ebf4c5349 · outbound

This paper cites Braides, Gamma-Convergence for Beginners, Oxford University Press,.

Variational modeling adapted to the medium with gradient properties Braides, Gamma-Convergence for Beginners, Oxford University Press,

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:12.229058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:12.229058Z digest=sha256:57978e40bc755e48ab1b9baee85c578268cbeacdfe799609b7ed3620854fbb1d

Observation 74d585fb-2dcb-42e6-96d2-4730cb8e1554 · outbound

This paper cites Nait-Ali, Volumic method for the variational sum of a 2D discrete model, Comptes Rendus M´ ecanique 342 (12) (2014) 726–731.

Variational modeling adapted to the medium with gradient properties Nait-Ali, Volumic method for the variational sum of a 2D discrete model, Comptes Rendus M´ ecanique 342 (12) (2014) 726–731

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:12.361822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:12.361822Z digest=sha256:21a7691b0a4fa8d2c63b1d75e18e4db3bc5fa9a92c7fc653f0d79b8d69263fbd

Observation 84a985b4-e1e0-4bbc-997a-7be7f7144d56 · outbound

This paper cites H´ emery, A.

Variational modeling adapted to the medium with gradient properties H´ emery, A

Reference 14

Resolution
verified exact
doi, observed 2026-08-01T21:43:21.450980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 2f28b29b-edbe-4217-9b10-a1e092873618 · outbound

This paper cites URLhttps://sourcesup.renater.fr/www/foxtrot/html/.

Variational modeling adapted to the medium with gradient properties URLhttps://sourcesup.renater.fr/www/foxtrot/html/

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:12.497994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:12.497994Z digest=sha256:a0ee0f32ff9e82aa8d1e97d314635d08dbaf9d912770142e34f7d311ad11d1bd

Observation cbaa578c-ba11-409b-9085-166fd037b6f8 · outbound

This paper cites Moulinec, P.

Variational modeling adapted to the medium with gradient properties Moulinec, P

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:12.556146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:12.556146Z digest=sha256:05b0b6f9f7d3afbe897baae3ec0c5773adbf874f3cc2e3515a55361eeb142417

Observation 5daf36a3-15cb-4446-9032-ce6ef5fe2123 · outbound

This paper cites Moulinec, P.

Variational modeling adapted to the medium with gradient properties Moulinec, P

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:12.622209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:12.622209Z digest=sha256:78bf1937d3558002411b76f7b4b62c7fb84c9ba02fba225b0c1319574abf1a8d

Observation d0b20eb3-5275-4dc6-846d-86f3ce1021c6 · outbound

This paper cites an unresolved cited work.

Variational modeling adapted to the medium with gradient properties Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:12.671843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:12.671843Z digest=sha256:77c520d3e76e61cd82485ea5bc584294f4ed3c06b8d1bbc342bcc6ae7eece134

Observation 1ac3ee19-57c6-4c1a-8ac0-5b5957d352a7 · outbound

This paper cites ElhajSalah, A.

Variational modeling adapted to the medium with gradient properties ElhajSalah, A

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:12.748832Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:12.748832Z digest=sha256:1975ac54c0187bce5ab6819ce63e855cdaa3b8b054f06afd7d2c734caf4701e9

Observation cc60f733-9f0b-4452-9aa8-caf12290abdb · outbound

This paper cites G´ erard-Varet, A.

Variational modeling adapted to the medium with gradient properties G´ erard-Varet, A

Reference 20

Resolution
verified exact
doi, observed 2026-08-01T21:43:21.264110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-01T21:42:12.887214Z digest=sha256:2d414a4a111b298f0d0304c98f5843d66de0ac73a9e3f7c58b66033e53d3916d

Observation 1e3bf458-e9d2-4e50-a5e4-9bc4aa47d729 · outbound

This paper cites an unresolved cited work.

Variational modeling adapted to the medium with gradient properties Unresolved cited work

Reference 2007

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:12.305029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:12.305029Z digest=sha256:74f3eb8fc1090c3ced6b0fc667926625dafa547252e6ae9fad6612660e2c95b4

Observation df0b2b66-a9e5-401d-8768-d354985c0150 · outbound

This paper cites doi:10.1016/j.jmatprotec.2020.117006.

Variational modeling adapted to the medium with gradient properties doi:10.1016/j.jmatprotec.2020.117006

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-01T21:42:12.814124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:42:12.814124Z digest=sha256:e75181e78eb115f24cb60d11d1ebe9b204197e40074c79b62325135f1283dc59

Pith citing papers

No inbound Pith citation observations are available.