Pith. sign in

Paper Citation Record · LEDGER

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium

As of 22 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.07111.

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

pith.paper-citation-record.v1
2506.07111 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:49:29.921659Z

measured 26 of 26 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

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b264326d-c472-4502-b1d7-2ceaa668a8a0 · outbound

This paper cites Efendiev, T.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Efendiev, T

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:35.407299Z

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=2026-08-07T05:49:26.335290Z digest=sha256:7a6cd54b102cd160e6861f0d1955cee9f7bfb74dbb7513e617252cee1b217bee

Observation 870ce99d-80ab-4161-beb2-8deee5981bd6 · outbound

This paper cites an unresolved cited work.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:49:35.190409Z

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=2026-08-07T05:49:26.398911Z digest=sha256:e87fdd685e4a36e3a0b2b05c3f73835bd2cd9e14107c7b814da664852bd6256a

Observation dd4c6217-51aa-4193-b1dc-8e237e94705e · outbound

This paper cites Steinhauser, Computational Multiscale Modeling of Fluids and Solids, Springer, 2017.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Steinhauser, Computational Multiscale Modeling of Fluids and Solids, Springer, 2017

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:34.960430Z

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=2026-08-07T05:49:26.502991Z digest=sha256:8aefcf4cdf2a14aea400444305afc87f187ac38fb442cf7bad9b78ccb05433a6

Observation 70c89ad3-7f7e-479b-8cc2-9bdb34c65cb4 · outbound

This paper cites an unresolved cited work.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:49:34.649838Z

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=2026-08-07T05:49:26.641402Z digest=sha256:66837d603a1a9b25ad77872eeaf6efd4b3afb0cdfc8cbd1630b8b254817a2f65

Observation a09595b1-5445-4882-961b-6b589df729d0 · outbound

This paper cites Bensoussan, J.-L.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Bensoussan, J.-L

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:34.404450Z

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=2026-08-07T05:49:26.757268Z digest=sha256:1df135d09c480a0e3e1cae40ada98c83e3f19d6e549ac68ce01c008df4212b3e

Observation 3cd196e5-d735-42ca-a231-b57f98f84b03 · outbound

This paper cites an unresolved cited work.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:49:34.172266Z

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=2026-08-07T05:49:26.886581Z digest=sha256:09c4f4de922361e715d55a937cb4577760babef2fb06bb7ff68b92b9e883224a

Observation 17291962-3e78-4fd7-8636-6332de1cb4fe · outbound

This paper cites an unresolved cited work.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:49:33.978840Z

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=2026-08-07T05:49:27.035978Z digest=sha256:a90927e6e649c66ab67f5d791428f682a07b9c22eaeddce2aaf05e32c36461d1

Observation 1c99b893-68f7-489d-9885-5a647c541182 · outbound

This paper cites an unresolved cited work.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:49:33.807421Z

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=2026-08-07T05:49:27.219180Z digest=sha256:a7d53d61c85da09919d27eaec73d503de701844e49c44313427650e57e156016

Observation 72573cce-7240-42dd-a532-a368be2256ff · outbound

This paper cites Linz, Analytical and Numerical Methods for Volterra Equations, SIAM, 1985.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Linz, Analytical and Numerical Methods for Volterra Equations, SIAM, 1985

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T05:49:27.346104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:49:27.346104Z digest=sha256:a1bf7382e84066f088d8f0385ab7407f51c497d30305d4a8e944c57ee9fd6bce

Observation fe43229d-673a-4a11-af14-401fcbd0a835 · outbound

This paper cites an unresolved cited work.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:49:33.556685Z

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=2026-08-07T05:49:27.480113Z digest=sha256:6f71e8b2563c7595b4dfb55b0a408cc4d35f433966831ddeb4fadd30f721308d

Observation 9b388ace-bd59-4927-aa48-2a7cddf3114a · outbound

This paper cites an unresolved cited work.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T05:49:27.652802Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:49:27.652802Z digest=sha256:c02ead7398725febcaf5ba99f5fac2a88d9faaeefc1ef71c5c90d522f9f1d33f

Observation a1632f26-e6fb-46dd-ae4b-6352fe4e3500 · outbound

This paper cites Braess, Nonlinear Approximation Theory, Springer, Berlin, Heidelberg, 1986.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Braess, Nonlinear Approximation Theory, Springer, Berlin, Heidelberg, 1986

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T05:49:27.789440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:49:27.789440Z digest=sha256:e2a3587a7c7c8fa4164ed4cd3202ce558bbff850967fd2b19141eadb743f3062

Observation 6304bfa5-8952-4c7a-8917-3c13a41c94fc · outbound

This paper cites Beylkin, L.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Beylkin, L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:33.270390Z

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=2026-08-07T05:49:27.920382Z digest=sha256:0c3eb71784d871b7e0f79bf18d76b84a19a547393e823e301fdcfb3b28201bbe

Observation 9125053f-f5c2-4116-9174-79ed801d65dc · outbound

This paper cites Hornung (Ed.), Homogenization and Porous Media, Springer Science & Business Media, 1997.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Hornung (Ed.), Homogenization and Porous Media, Springer Science & Business Media, 1997

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:33.077975Z

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=2026-08-07T05:49:28.062781Z digest=sha256:a853a162b61cb306a1bc2e1ada518bebfdbdaee9ec9e883d1f1d6d01018b7543

Observation c6fe191b-157c-408c-8c93-069c968d7ab2 · outbound

This paper cites Knabner, L.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Knabner, L

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:32.861114Z

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=2026-08-07T05:49:28.240939Z digest=sha256:b284e448b822aab0c4813b88767e210664e28f575d4c4affd4f3641b787e71a4

Observation 91fcbd44-8604-46e0-a657-09802075c745 · outbound

This paper cites Quarteroni, A.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Quarteroni, A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:32.611654Z

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=2026-08-07T05:49:28.452515Z digest=sha256:36f0cccbc7678e9d18889054bfbd677254f0dbbf34e5563ef5fbb04d28b899ca

Observation 008992b8-f32b-4098-9790-7fda1c6a4612 · outbound

This paper cites an unresolved cited work.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:49:32.346413Z

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=2026-08-07T05:49:28.624241Z digest=sha256:34f07667d2845a0d9fd8989a31bb4ac7536cc118a2abfccf62e87bd442f8a5b7

Observation 4a542f07-8f7a-4dd0-96b5-69c7b55ad8ec · outbound

This paper cites an unresolved cited work.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T05:49:28.778447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:49:28.778447Z digest=sha256:55f551854808e74286bcb2dd80c4e67d64ffae48ff661bd97ffcb152f4610eb9

Observation 7d8d637d-a93f-47c1-aba3-8827fc4638e0 · outbound

This paper cites McLean, V.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium McLean, V

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:32.102026Z

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=2026-08-07T05:49:28.944135Z digest=sha256:199add8b1ce32986ab5554ae92d58a5b43d5a0bcf67ccf147cfda15ad404918c

Observation a272de04-3f0b-413d-acc4-a87f9221682e · outbound

This paper cites McLean, V.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium McLean, V

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:31.790285Z

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=2026-08-07T05:49:29.123775Z digest=sha256:705b1dcd56181e910ab9d314864841c23fb1781ccd292050c992019afddea155

Observation 678e04c2-2491-453f-9c10-8eb8041b83aa · outbound

This paper cites an unresolved cited work.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T05:49:29.275799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:49:29.275799Z digest=sha256:7c3ff03689c166acc2f11a13e39b2d824b227a0f6100a88f9f05ef4a10da9473

Observation 1fc64b5f-56a3-4d67-bf32-cb198211920d · outbound

This paper cites Halanay, On the asymptotic behavior of the solutions of an integro-differential equation, Journal of Mathematical Analysis and Applications 10 (2) (1965) 319–324.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Halanay, On the asymptotic behavior of the solutions of an integro-differential equation, Journal of Mathematical Analysis and Applications 10 (2) (1965) 319–324

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:31.496558Z

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=2026-08-07T05:49:29.427401Z digest=sha256:24d1ca06bd96ab01afb72c93bf0f548139df26789c639523873f30c71555453e

Observation 5d90292d-ba3f-4efc-bef2-bc53acc110c3 · outbound

This paper cites Saad, Numerical Methods for Large Eigenvalue Problems: Revised Edition, SIAM, 2011.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Saad, Numerical Methods for Large Eigenvalue Problems: Revised Edition, SIAM, 2011

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:31.199419Z

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=2026-08-07T05:49:29.568337Z digest=sha256:d052cf7791eba7ed4422e3aeb27a7169317816e661100b16d545f73186fe50e9

Observation 3f26c111-5bee-4042-a35e-788ff5328e47 · outbound

This paper cites an unresolved cited work.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:49:30.893765Z

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=2026-08-07T05:49:29.664119Z digest=sha256:3395dc773ba4fe0c85342a8dfb665d9a5bfad764f7f5fc6d657bb7c26e6ec37a

Observation 25fc4c21-36bc-4985-9e43-1159bc916096 · outbound

This paper cites Geuzaine, J.-F.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Geuzaine, J.-F

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:30.629296Z

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=2026-08-07T05:49:29.796973Z digest=sha256:9568ebd9ec95d2c0f9743a518d1bd3b75eaffeb857b2fe88a10405bae28bf5ea

Observation fc412ee2-79b1-4dce-8752-7b1d0149d583 · outbound

This paper cites Alnæs, J.

Computational homogenization of parabolic equations with memory effects for a periodic heterogeneous medium Alnæs, J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:49:30.358419Z

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=2026-08-07T05:49:29.921659Z digest=sha256:2c12db275c2b948d4cc748f48d6c075ae6ba4e1d305a86cd0ca6a0c86a5d08ec

Pith citing papers

No inbound Pith citation observations are available.