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Paper Citation Record · LEDGER

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2412.08186.

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

pith.paper-citation-record.v1
2412.08186 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T18:12:11.819511Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

32 of 32 outbound references displayed

  • verified exact5
  • verified fuzzy3
  • unresolved18
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 57c234f1-1bce-4d50-863f-ade391cf774b · outbound

This paper cites Baker, Robert D.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Baker, Robert D

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T18:12:11.664225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:12:11.664225Z digest=sha256:452687fd0a174973e227ecbf560597c40ddfc9374df9ee4fec7990e6556e43c5

Observation 469ceb01-4d00-4263-a8f0-eab468fab3d4 · outbound

This paper cites Baker, Axel Klawonn, Tzanio V.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Baker, Axel Klawonn, Tzanio V

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:12:12.501017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.669526Z digest=sha256:f8325fe133564bd58d206ca16a0946b5ae775dd89e41c91095665353a808cf6d

Observation 2060e0e6-a4e7-4af2-85b1-a7bb1929956e · outbound

This paper cites Baker, Tzanio V.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Baker, Tzanio V

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T18:12:11.675444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:12:11.675444Z digest=sha256:32b0c58663fbacdf08638aadfe1a885edef84e52af8dd4c376bd9d4e919cc2f9

Observation 848aa56f-b27d-468b-86bd-dfd50265cf94 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.485474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.681202Z digest=sha256:aae59f9619ca449d3e30d02ab45eff5fbf8e1abe16cd0e7af45b512438ee2902

Observation 371f0ec1-52bc-43d2-a968-a63e6a2816e7 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.469509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.686261Z digest=sha256:1f70342e4c04e924a3b42daf6d165261fa7bc7038919c057e9130897f8108603

Observation 7e48e855-a854-4776-9e91-053c440fc3ce · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-11T18:12:11.936001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.696250Z digest=sha256:f51c822e01339e03a6510979c71a6a26824a5ea01cbf22c6fc29521f10dd4d5b

Observation 493f072b-b388-47cf-a96e-0099b54e520f · outbound

This paper cites Monolithic overlapping Schwarz preconditioners for nonlinear finite element simulations of laser beam welding processes.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Monolithic overlapping Schwarz preconditioners for nonlinear finite element simulations of laser beam welding processes

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-11T18:12:12.236977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.701503Z digest=sha256:74d5a98913df41d369ffb5b7b9f88ad4067eef77e85a4722d0fcf756bc96055a

Observation af9b4681-5a1c-4547-bb10-b8cee1a3af41 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 8

Resolution
malformed identifier
no resolver link, observed 2026-08-11T18:12:11.706551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:12:11.706551Z digest=sha256:b218990da2c70f2c14decb629996a0d8d05532c097751013376b5ef1a43b5289

Observation dd812d26-6b12-46bf-8f2f-ac97978035a5 · outbound

This paper cites Falgout, Jim E.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Falgout, Jim E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:12:12.436838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.712080Z digest=sha256:44286c1cd102356c7ad2f2fbc82a465a3ecb041e4fc9a6663da5097a55fb1fcd

Observation 03f6a872-b6d5-4e91-9409-bf45980af143 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T18:12:11.716888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:12:11.716888Z digest=sha256:8f4b65e7b94ce5901291dd662024a97939e3dfd452d6a96b93ea8215a404b438

Observation 137f2e82-dc5d-418a-9375-92c957a27c0f · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.411324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.721761Z digest=sha256:3cf5149892787e083f17b3f27f9a0929d4da594f835d3d5232243421f0300b2a

Observation 8a3ebba1-9a0b-4c91-8d1d-1eb54d7342c9 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.395303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.726409Z digest=sha256:ecd1d2c70b599cfdd74abd22b99440bd5fd5052b1ea14c06acfb422089362a84

Observation 5e047435-299d-41d4-8f78-772c56f29f6d · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.380097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.731046Z digest=sha256:ce1e0a089a9af7a4c1fd6b4eb3d1fc7d312e1c7703eba87bbf0f5b53ee4faa35

Observation 2741c4cb-a6a7-4d70-90ee-c5e00f6260b4 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.365207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.735577Z digest=sha256:db2139ab6e099af8b6c40d568f5ac115abb7005a6b0bc53f04c426ed3fa1326f

Observation 6b5719b6-8e94-4b3a-bfd8-abf4305847c6 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T18:12:11.740696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:12:11.740696Z digest=sha256:df733356a2c39d7bfad9f8f08e2a2b5d3760866a6473440a4a97596b7cd33e75

Observation b6309b3a-802a-4008-97d7-10a3702d2b4e · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.349608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.746282Z digest=sha256:c13678e38828e09dc02582c7d0366afc4100fd40f058af57499f87e30b822e71

Observation dc67d244-996a-432d-a816-c320d7fe242e · outbound

This paper cites Deep Multigrid: learning prolongation and restriction matrices.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Deep Multigrid: learning prolongation and restriction matrices

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T18:12:11.750639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:12:11.750639Z digest=sha256:b1960743b1bb2fe0f05a15fbd3bdd8a2bd25c2a29570f7e3460cbb0455edfcba

Observation 062d8c85-d175-42f2-b884-0ef340e51367 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 18

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T18:12:12.196791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.755688Z digest=sha256:3664cb2e6e09cc4ed114deb836d99f3f39cfa8eb5a0b6043cf0e681280cca79f

Observation 27014bb2-4afd-4a34-9ac8-9a6fdb89cf49 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.333488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.760421Z digest=sha256:3039011fd5c7c39dda87ed0d6c6853e5eec36ff0b62c953cb3c5f9865a6f00d7

Observation 69ef722e-4918-4bb4-96b1-f1a3516d71ea · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.316632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.765016Z digest=sha256:ddfb10dbf9ab9c83aaf391ac8ef8679851ef586334e9a96473411440b68114ef

Observation 673e4d6b-260e-4597-b912-85b9c12f9d62 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 21

Resolution
verified exact
doi, observed 2026-08-11T18:12:11.900872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.769486Z digest=sha256:316e7d04aeb6d0b549024b0a8edb10399936587555d47797b767a011d6930592

Observation fa62d046-571e-468c-9a80-9423f387e9a4 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 22

Resolution
verified exact
doi, observed 2026-08-11T18:12:11.884597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.774144Z digest=sha256:0f58399785f052609a7b52900fb5dc17993f21a684cae688160615fac24d6ae4

Observation 4487ecc4-de6c-480d-b639-b12eba562a1e · outbound

This paper cites Evolving Algebraic Multigrid Methods Using Grammar-Guided Genetic Programming.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Evolving Algebraic Multigrid Methods Using Grammar-Guided Genetic Programming

Reference 23

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T18:12:12.101158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.778816Z digest=sha256:3111ba99f1822be63e95ba200c8fbae11481621c0571113ce54bba70cf107140

Observation b670b09f-42c0-4d93-bbd5-ace2fc40dd6f · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 24

Resolution
metadata mismatch
raw_fallback, observed 2026-08-11T18:12:12.078721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.784170Z digest=sha256:ff113c7650c6c8d1559cea2c6930c2080e96a2b24d5d6d8d227176e6d5bdbd32

Observation 5b3f2fe6-b680-4297-8d55-e121718cb977 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 25

Resolution
verified exact
doi, observed 2026-08-11T18:12:11.869019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.789283Z digest=sha256:e2372d4485b5496acd43e1548b219686f55d87cb7a6477fe868ff659b25c0a41

Observation 45c9cbb1-e95a-4c9c-a8fc-2b4ceff592c0 · outbound

This paper cites Simo and Christian Miehe.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Simo and Christian Miehe

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:12:12.299791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.794464Z digest=sha256:329ee590494ec8711e851a40aecdcea2d59626bf81cd5ae65f27c5e4361084ec

Observation f00c254a-0955-406f-8b06-54960978249a · outbound

This paper cites Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning

Reference 27

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T18:12:11.978134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.800089Z digest=sha256:ccf6a8604c9b40decaf78f442a9e64237d3e93afe6874cc1e388e494837742e7

Observation 7bca8bd1-34fb-4fcd-ad81-852590c65c6b · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.284803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.805177Z digest=sha256:7791382017d851c9172d97c1ae50afe9a2dac7a00ddb46332c35cbd766fcf945

Observation dce0e60c-0f37-477c-b664-85d589a9efff · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.268856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.810203Z digest=sha256:00d4f576b8736e146912f38b3a086ea95572ce660b96067d99adbd8b1f8e6f47

Observation 22f20be4-c08a-4313-8d53-ba9ccce74327 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 30

Resolution
malformed identifier
raw_fallback, observed 2026-08-11T18:12:12.252478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.814846Z digest=sha256:4de2c375fe59b315a066becb42b38eb249aa5c3b9fd63e31f442c34a32610f64

Observation 86c3c9ca-3750-45c9-9b11-cf0bc21e360a · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-11T18:12:11.819511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:12:11.819511Z digest=sha256:47514385212c1c08125381798046fe57261146ef2f8e9324d3ee22aeac2e1970

Observation 6ab9ccf9-d446-4b34-bc30-256d7dd28b47 · outbound

This paper cites an unresolved cited work.

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations Unresolved cited work

Reference 2019

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:12:12.452678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T18:12:11.691396Z digest=sha256:eacee4fea92789b3d3a095ab33c4f67117e5fc17b9a195311ecf2dd7bfacecdc

Pith citing papers

No inbound Pith citation observations are available.