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Paper Citation Record · LEDGER

A black-box, multilevel algebraic preconditioning framework for conforming finite elements

As of 8 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2607.07485.

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

pith.paper-citation-record.v1
2607.07485 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-09T10:13:12.909933Z

measured 44 of 44 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

44 of 44 outbound references displayed

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  • verified fuzzy14
  • unresolved12
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8691cfc6-f9f2-4b9f-9e6d-bfcbd8112221 · outbound

This paper cites Anderson, J.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Anderson, J

Reference 1

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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.

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Observation c5e55976-0929-477c-9a8b-64e273b5722d · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 2

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Observation 709d87e6-6304-4daf-88b8-4bcf17539778 · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 3

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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.

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Observation 8f997990-7ef8-4382-9283-4519f33013f3 · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 4

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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.

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Observation 47d88c5f-9ce4-4d56-bdfd-2d8d7b428467 · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 5

Resolution
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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.

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Observation f0731f54-fa11-471e-80f8-caf07d4a8b46 · outbound

This paper cites Brezina, A.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Brezina, A

Reference 6

Resolution
verified exact
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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.

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Observation 2ec5e02b-2d85-4913-8aed-c921ae08b1c3 · outbound

This paper cites Chartier, R.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Chartier, R

Reference 7

Resolution
verified fuzzy
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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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:a8194f6ee28bdba08e914b84d55b9b150e39d8f588cfc3c22230f49b1463df35

Observation edf002fe-649a-4a69-be11-da4824d2f09c · outbound

This paper cites Claus , Multigrid smoothers for saddle point systems , PhD thesis, University of Wuppertal, 2019.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Claus , Multigrid smoothers for saddle point systems , PhD thesis, University of Wuppertal, 2019

Reference 8

Resolution
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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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:9728fed602027d60bb1bd9f3e4481de8066bbd71c9ca8ed8e6939da25cd4bbe0

Observation 2f2f161b-0c3c-44a0-be5a-6a7febee634a · outbound

This paper cites Clees , AMG strategies for PDE systems with applications in industrial semiconductor simulation , Shaker Herzogenrath, Germany, 2005.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Clees , AMG strategies for PDE systems with applications in industrial semiconductor simulation , Shaker Herzogenrath, Germany, 2005

Reference 9

Resolution
verified fuzzy
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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.

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Observation 73c80278-c3f8-4665-9ad0-1ed3a1b3bbec · outbound

This paper cites Beir ˜ao da Veiga, K.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Beir ˜ao da Veiga, K

Reference 10

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verified exact
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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.

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Observation 403cfe34-afca-4d92-8dd9-2694eacadc86 · outbound

This paper cites Al Daas and L.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Al Daas and L

Reference 11

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verified exact
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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.

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Observation aae3626c-971d-4f6b-8a05-48c007b7f684 · outbound

This paper cites Al Daas , L.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Al Daas , L

Reference 12

Resolution
verified exact
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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.

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Observation 0d0b0c5f-ceda-4b4f-a0a5-ad35274c32db · outbound

This paper cites Al Daas , P.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Al Daas , P

Reference 13

Resolution
verified exact
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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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:4a4ff644a86c43bd1f9701628ea378b87bebedd12bfbecf3658d0c0399c4c14b

Observation 24c08f85-9577-4656-8ea0-44345d700e2f · outbound

This paper cites Dobrev, T.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Dobrev, T

Reference 14

Resolution
verified fuzzy
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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.

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Observation eb9274ca-9bc6-4ea6-9be0-2da4d63ecb6f · outbound

This paper cites Journal of Computational Physics 251, 116–135 (2013).

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Journal of Computational Physics 251, 116–135 (2013)

Reference 15

Resolution
verified exact
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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.

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Observation bebb8e10-c673-4e09-9342-d11597102e05 · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 16

Resolution
verified exact
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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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:3a3cb05857af57b3603a9eb56a8c8f179b08af54be2d3ac8d7c08524489b9be4

Observation 2a8b331b-07d7-462f-88b1-4b0e08f43a12 · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 17

Resolution
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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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:c6ef60cde0f13c1dc743d4d4ae072aa15928c347aa985065e790d79b7a55d23f

Observation 018a80f3-66b3-488d-85bf-24cfeab1bb59 · outbound

This paper cites Green, X.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Green, X

Reference 18

Resolution
verified fuzzy
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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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:66543f8312b1797cce1538376333ad4e6cda78043d674dc597b0b558b27c5b94

Observation 02d68e0f-7b33-42a6-983c-598cc19c18e7 · outbound

This paper cites Imperial College London and University of Oxford and Baylor University and University of Washington, (2023).

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Imperial College London and University of Oxford and Baylor University and University of Washington, (2023)

Reference 19

Resolution
verified exact
doi, observed 2026-07-09T10:16:09.457352Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:cca74e6013638111bc94bd08b371dc562906a910905ec650781acfea7b4623fa

Observation fb7ce628-773d-4adf-855b-bf744aaf039a · outbound

This paper cites Hiptmair , Multigrid method for H( div ) in three dimensions , Electronic Transactions on Numerical Analysis, 6 (1997), pp.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Hiptmair , Multigrid method for H( div ) in three dimensions , Electronic Transactions on Numerical Analysis, 6 (1997), pp

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T10:16:09.637068Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:7d6a851fa1fdc47846794dc0bc036edd8717ec13536e49122c32fe2131dd56d4

Observation 0d74911f-eace-4f21-b932-2551d32b1a5b · outbound

This paper cites Hiptmair , Multigrid method for maxwell's equations , SIAM Journal on Numerical Analysis, 36 (1998), pp.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Hiptmair , Multigrid method for maxwell's equations , SIAM Journal on Numerical Analysis, 36 (1998), pp

Reference 21

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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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:4215b9d8554f0f26786e8ff0d3e41de4eef214647a41ca7abbbcd07f255a3c76

Observation 013e6057-e5e2-4e34-9440-654b19fcad12 · outbound

This paper cites Hiptmair and J.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Hiptmair and J

Reference 22

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verified exact
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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.

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Observation 1fe1b4f8-5cb0-4230-8b18-ae69dc3d8f6d · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:0a99bfdfe4968b5a6c919c533eac9fef590986438b77448e59c78e57e7bd3cf2

Observation f0506daa-ed03-4544-a08c-1e99ca8d8e83 · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 24

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raw_fallback, observed 2026-07-09T10:16:09.638650Z

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.

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Observation 12ee578f-8f74-4663-970b-9e4ac85599fa · outbound

This paper cites Journal of Computational Mathematics, pp.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Journal of Computational Mathematics, pp

Reference 25

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verified exact
doi, observed 2026-07-09T10:16:09.462885Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:f0c71ef4d5ae504fa00067eb28a3a45de6d1bf979f98cefebec27b1670299a3f

Observation 67a1ba02-3f49-4827-a9d1-308bfd3ad768 · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 26

Resolution
verified exact
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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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:2cfb97ab0de83408c4960d003b2e06404a38e5d25e3f3d3a1b4136d35c152191

Observation 52c6943b-b58b-47bf-8781-7f98f79fa93f · outbound

This paper cites Two-level convergence of Algebraic Multigrid with Overlapping Smoothers and Spectral Coarse Grids.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Two-level convergence of Algebraic Multigrid with Overlapping Smoothers and Spectral Coarse Grids

Reference 27

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local_arxiv, observed 2026-07-09T10:16:09.515106Z

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.

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Observation 163807ec-0bef-4343-b753-1d55da96fa5c · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-07-09T10:16:09.629866Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:0ed833ba178f8a2cf810c391249fae3ff3bdac7920250eb8736a9f8e57c04d9b

Observation babd6858-a06b-4c21-87ed-8d75b28e660c · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 29

Resolution
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raw_fallback, observed 2026-07-09T10:16:09.647390Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:0d17f7690c46347fb149afed0eb6bfc43e37a98ba8c52239374d0ef3fa288d14

Observation f533e31a-346d-4d1e-9fdd-67a8fdf231a4 · outbound

This paper cites Magri, N.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Magri, N

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T10:16:09.660935Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:3f0f21f4a229e9d559e5a4fe17643ec85180b4065d2fdbee82a6c2b67cbeb68e

Observation 1b35ea22-a271-4db5-9b16-3e7e77e46ef6 · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-07-09T10:16:09.643776Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:909faa205e6bc2668ad24610cd2b22095175d5627eb090b4946a1702a07e7df8

Observation 2a186704-80bc-4b87-a922-3dbc3d1e12c6 · outbound

This paper cites Morel, R.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Morel, R

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T10:16:09.628298Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:fbe19601791c5d554df739aced9f0cc22c64d4a1119c0631fd18a0236e127b9f

Observation 10137d93-c3e9-43b6-923a-172486a380ec · outbound

This paper cites Pazner , Efficient low-order refined preconditioners for high-order matrix-free continuous and discontinuous galerkin methods , SIAM Journal on Scientific Computing, 42 (2020), pp.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Pazner , Efficient low-order refined preconditioners for high-order matrix-free continuous and discontinuous galerkin methods , SIAM Journal on Scientific Computing, 42 (2020), pp

Reference 33

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raw_fallback, observed 2026-07-09T10:16:09.645747Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:c3ed57e2719f5fa99d55f54c49befb9124354f1c5c2a861b95e1f6cb8be38230

Observation bb093490-73df-475e-9623-c5aadb6eb278 · outbound

This paper cites Reitzinger and J.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Reitzinger and J

Reference 34

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verified fuzzy
raw_fallback, observed 2026-07-09T10:16:09.635076Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:093cc5010f2af3cd6393404a0f10c9e048cec460806adf6b24662466aad9a10a

Observation 3adb2f3f-d28f-490e-bda7-9c3079cfe59c · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-07-09T10:16:09.655827Z

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.

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Observation f09d5d6e-fd72-4fb3-a0a2-7d25fbd3bd3b · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-07-09T10:16:09.518236Z

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.

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Observation 5c08dabf-d73e-4c20-ae94-e49985afa252 · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 37

Resolution
verified exact
arxiv_id, observed 2026-07-09T10:16:09.512198Z

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.

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Observation 7b9a041e-77e9-4af0-b207-b9cf0dcbfda6 · outbound

This paper cites Spillane, V.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Spillane, V

Reference 38

Resolution
verified exact
doi, observed 2026-07-09T10:16:09.452504Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:347e34ced78d758c3a636c0135494af7d908fd2018379ba4f54e5844615410d9

Observation 4205190d-9994-4b99-8eec-82c58589ebe4 · outbound

This paper cites Stenberg , On some techniques for approximating boundary conditions in the finite element method , Journal of Computational and applied Mathematics, 63 (1995), pp.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Stenberg , On some techniques for approximating boundary conditions in the finite element method , Journal of Computational and applied Mathematics, 63 (1995), pp

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T10:16:09.626935Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:6a3159e7af0636155de61e7083b5dd0c75644c68ece2072f33dbdd4d059407cf

Observation 4d07ede5-18b1-429a-ba64-f51765ed7f46 · outbound

This paper cites A structure preserving H-curl algebraic multigrid method for the eddy current equations.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements A structure preserving H-curl algebraic multigrid method for the eddy current equations

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-07-09T10:16:09.508653Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:5513addbbfc16dbca66e12708ee4956166006524e9b8962bb22986cc223ab74f

Observation ef511218-26cb-46f6-bb3a-2fc2fc08b34f · outbound

This paper cites Computing56(3), 179–196 (1996).

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Computing56(3), 179–196 (1996)

Reference 41

Resolution
verified exact
doi, observed 2026-07-09T10:16:09.446163Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:4ada3555a002e2ba2c31c171f77cde56f460bf3f2e97c30a6de339a3ff458fb5

Observation a264fdb0-f146-4af5-9c70-aa9398eb1b3d · outbound

This paper cites Van e k, J.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Van e k, J

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T10:16:09.622871Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:bbc9d7bf366b72923f9c3e29acc55781cd48147ac382a58b7175cf894a172aa0

Observation 1b9231a5-fb42-41cd-aaf6-73228cc6c491 · outbound

This paper cites an unresolved cited work.

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-07-09T10:16:09.624821Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:4503d9f6d2544e211e43d7220b5820d58ffda669dbdbb8659b725f1802e1db38

Observation 157d8581-ad97-4c72-aeb1-11aedc246a07 · outbound

This paper cites Acta Numer.26, 591–721 (2017).

A black-box, multilevel algebraic preconditioning framework for conforming finite elements Acta Numer.26, 591–721 (2017)

Reference 44

Resolution
verified exact
doi, observed 2026-07-09T10:16:09.454443Z

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.

source=arxiv_source observed=2026-07-09T10:13:12.909933Z digest=sha256:2d9f698900949e8a7b540c547409fa8174805ea263b9e5b3fc0e2a7a59fe1843

Pith citing papers

No inbound Pith citation observations are available.