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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.

source=pdf_text observed=2026-08-14T14:15:55.165676Z digest=sha256:ff15ae4e81bc6a1fed24bcfad28613beec69b5bf9d680b3795be5632adef87e8

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.

source=pdf_text observed=2026-08-14T14:15:55.172102Z digest=sha256:317441cc2e7565dec4beb8d0b3d5df442fdb7bdf7b1c8808cb5b1447d63933af

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:d3304d0d41faea9a7a23355e8adb36a01002f0c28121f31a02a8882d08f779a8

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=sha256:40ae706c7b081895563c751c78e6a8ec8c6e38f6ff04411b8f2c04d34cd98da3

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:c82332dd941ca7c69d145b586b796bb931000cb02b507f35c92649de9625f148

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:cd862bb8234e17665a71717edc91087f590ce1c4a861fd67f2daa6fc14ac382f

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=sha256:4a403f1e1c5e6e74d220b1e74f1ac2674cd1a80eba61a87f6fcf02c82275383e

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:a11f8d7cb1f4bfcf2bf65ca03120c43ba3bfb583c09cba77d98f4d1cb846cec1

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=sha256:1a11d1096c880a77f58ad372997e5c7fc1f92d772eee83a55f0ffa673db66830

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=sha256:6a88c7d5996a029e046eb632c8b2869c6a8b774986ea6f0d44339a18860c7af4

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=sha256:659ff44b160196315a923122f6a39d9363b73cac6814b0050eb69c87c8754159

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=sha256:41afa30d6e561c37b567639267d624ea2d445b9a6d3e8515a971d698da8db005

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=sha256:22f4d85204bff843a6f28acd83e226be99001484b4b2b57c6dcce66d974ecc44

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:ff9b84d1043cf6b38c59fde165bcd41378fb59a75883aef0c0e84062cf5f051a

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=sha256:299416eb73d2dd39f1598adfa7727696f7da78d5aa17fe96ca3975eb5fad9d24

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:c7416e24142ec2545f096017cab0f2714089baed1af46d84db39b08cb42a5982

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=sha256:103964a1f80efc57f0a9808e7b2e8f7bd8bac59c311ee204c92b5a7b2f6e5955

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=sha256:2e83711a9297ed084e3d0d0e65981e8bf307f7ca5e0c005d89bd8923ddc1d2e6

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=sha256:02f56d3d7a8e9fab0ad802945afea3368c2ca2840e7bc3a607103337f481e7ba

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.

source=pdf_text observed=2026-08-14T14:15:55.292712Z digest=sha256:999bc74bda12b25e9d3486299d1f2f23231238b36ae0a8edf7e14ec9788ca42d

Pith citing papers

No inbound Pith citation observations are available.