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Paper Citation Record · LEDGER

Numerical upscaling for heterogeneous materials in fractured domains

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:1908.03822.

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

pith.paper-citation-record.v1
1908.03822 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:15:55.292712Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b6554e0c-6e66-4eff-991c-917e4acee619 · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.709377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d31986ed-3da9-433f-8d85-760f0201937c · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.689590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation bac2a749-d631-43aa-9f65-17934d1309c7 · outbound

This paper cites ESAIM: Math.

Numerical upscaling for heterogeneous materials in fractured domains ESAIM: Math

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:55.670744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.178226Z digest=sha256:2d48f511dd23017a89fcf8b8837cef1dc9072f13a2b8bc715a1b8e74d98cf46d

Observation 9aba2f32-fab0-4ffb-a290-ec4e55dfc165 · outbound

This paper cites Computat.

Numerical upscaling for heterogeneous materials in fractured domains Computat

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:55.653701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.185708Z digest=sha256:7e108f7485d9a29f3d9143a18ff0751c6255aa555727a82cb7e0bb5d0311087a

Observation 56d7cb5a-25bf-4878-b85d-dd71360ae1f3 · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.632117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.192192Z digest=sha256:32f43b49a9260e5ead25a5dbf81dbfef7be1942cc2108497dd5b2b7dc794161b

Observation eb4efd2a-555a-4215-82d2-d22d023d786c · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.612309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.201326Z digest=sha256:d25a4c7c5bf2696e0e57b58ff9f38f39287f542dc1cf9a6a820ad2eebbd0c13c

Observation 7f14bb0f-4f87-426a-80f1-05af33724f51 · outbound

This paper cites ESAIM: Math.

Numerical upscaling for heterogeneous materials in fractured domains ESAIM: Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:55.593566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.207958Z digest=sha256:16d81bf57e7f5caf0d4e5dd389a02e86752f96764017812d47d18b1615c01516

Observation 4c02e011-e045-425a-912a-c7a808d13527 · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.577773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.213691Z digest=sha256:a3d103066e60f2f99a57551826700d8cc87254e60082fc1dc8ab9cf4a7d57884

Observation 60c34584-f20c-4d8d-baf8-6d0e6c523b7d · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.551035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.221773Z digest=sha256:e5a14ece7e999c290ab6bd87d0f7a878949e7643f06185052baff0ce43020526

Observation 9dfad5de-2c4b-4396-bcdc-0bb6ca9b1dec · outbound

This paper cites Mul- tiscale Model.

Numerical upscaling for heterogeneous materials in fractured domains Mul- tiscale Model

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:55.529927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.229400Z digest=sha256:5c9ce8dd533e0a9c79399a7ddef4b517bb02b54266d537117096df1cbdf4698f

Observation be8887e4-03e0-4f8d-bf1d-ea97e5049131 · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.510863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.234950Z digest=sha256:ab3a0ff56a7e0e95718309563de2969075f60639eb69f91f45d53419eb0505e8

Observation e5e1f1b3-753a-43bd-a59c-5bed8e1ddaf6 · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.485587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.241546Z digest=sha256:c3fd691bfd494da2caae106a359849be6b3010c5c93fb0fa55ebb943e5f3c919

Observation c584b738-df7f-4402-b195-2b47619a9e1e · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.462531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.248250Z digest=sha256:2b857e9fb324f4b62907789129b36906f29d032db58b99bbcafd23050230ba49

Observation 6358b9e4-6539-40e3-b23d-70716670bdde · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.442007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.255337Z digest=sha256:e568ab5dd963117cdecb223e78784c0089be5eeff6bda035eae3b6b8b7fd1fc6

Observation 921dae7b-2ea5-4ca8-935b-10e04967a846 · outbound

This paper cites BIT Numer.

Numerical upscaling for heterogeneous materials in fractured domains BIT Numer

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:55.423388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.262027Z digest=sha256:8e84e9b880f509c1fa848c60d32dc975574e657e470b986febfdb9b8533b9778

Observation 6d81222b-c812-4416-ab8b-2949c466c8f6 · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.404103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.268533Z digest=sha256:cb0ede9867e999d87e4483f12ccc0fffe01db8661660b6a8c1184978f45fbead

Observation fe8f6a26-d3db-4df9-a920-50b717434e54 · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.387092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.274015Z digest=sha256:1b4f22ee8766be7b3f17683dd2a98a097de839105c5536713b10fd1fd3882b0d

Observation 908aee3d-6ee9-4353-a57d-e3f67161d66d · outbound

This paper cites Esaim: Math.

Numerical upscaling for heterogeneous materials in fractured domains Esaim: Math

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:55.369668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.281408Z digest=sha256:0c7a74c7856b9bec6b6f155344a2da0c0fcb4c674e6b5c603e1e9fe0731cfe03

Observation 115118f3-6b28-4da9-8c99-676b415ea429 · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.351297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:15:55.287136Z digest=sha256:6bd4fba30981c11ab36b3c9f1eeda57f61d6ca0c93ad9ec3a08581181ee9d3cd

Observation 9a2ea2c3-67b2-428c-a0e9-9dd12e9befe0 · outbound

This paper cites an unresolved cited work.

Numerical upscaling for heterogeneous materials in fractured domains Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:55.334344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

No inbound Pith citation observations are available.