Paper Citation Record · LEDGER

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

As of 8 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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.

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 2026-08-07T06:34:17.273281+00:00.

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.

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.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.