Paper Citation Record · LEDGER

An algebraic multiscale preconditioner for large sparse SPD matrices

As of 22 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2606.04864.

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

pith.paper-citation-record.v1
2606.04864 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T05:06:30.774004Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T04:19:17.739892Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

verified exact1
verified fuzzy0
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 43e24efa-0c77-480e-8b1f-750927264f03 · outbound

This paper cites an unresolved cited work.

An algebraic multiscale preconditioner for large sparse SPD matrices Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8245ba7-4bbd-4c05-aba1-39f4300f89e2 · outbound

This paper cites Chung, Y.

An algebraic multiscale preconditioner for large sparse SPD matrices Chung, Y

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce45878f-82ec-44d8-955c-2f25caae9172 · outbound

This paper cites Efendiev, J.

An algebraic multiscale preconditioner for large sparse SPD matrices Efendiev, J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d5143bd-3a17-45c8-88be-e91524915d46 · outbound

This paper cites Jenny, S.

An algebraic multiscale preconditioner for large sparse SPD matrices Jenny, S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation baf27681-e080-4ed6-bac2-459b37a71263 · outbound

This paper cites Hajibeygi, P.

An algebraic multiscale preconditioner for large sparse SPD matrices Hajibeygi, P

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 392c726a-1ce8-465c-bc0b-4067949b3360 · outbound

This paper cites an unresolved cited work.

An algebraic multiscale preconditioner for large sparse SPD matrices Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b9af6d1-fc77-4654-8a02-1d764519f269 · outbound

This paper cites an unresolved cited work.

An algebraic multiscale preconditioner for large sparse SPD matrices Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10f2726a-2a47-4261-a75a-d3bf37306525 · outbound

This paper cites an unresolved cited work.

An algebraic multiscale preconditioner for large sparse SPD matrices Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4375a08-45a6-4012-ae25-987392b4475b · outbound

This paper cites A robust solver for large-scale heat transfer topology optimization.

An algebraic multiscale preconditioner for large sparse SPD matrices A robust solver for large-scale heat transfer topology optimization

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-02T10:16:52.617118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 02d446cf-aca2-4c56-b6e5-c0d255244fe5 · outbound

This paper cites Heinlein, K.

An algebraic multiscale preconditioner for large sparse SPD matrices Heinlein, K

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1704a5b0-41fd-4adf-8387-b82b615855e2 · outbound

This paper cites an unresolved cited work.

An algebraic multiscale preconditioner for large sparse SPD matrices Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 050de6e4-5d2c-4def-ae83-5f8bfb520097 · outbound

This paper cites an unresolved cited work.

An algebraic multiscale preconditioner for large sparse SPD matrices Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9071d996-a8ea-409c-b6fd-47f4b93366fc · outbound

This paper cites Boffi, F.

An algebraic multiscale preconditioner for large sparse SPD matrices Boffi, F

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a83ce761-c470-4a9f-beda-978de9f02346 · outbound

This paper cites Arbogast, M.

An algebraic multiscale preconditioner for large sparse SPD matrices Arbogast, M

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f551563b-137c-4b87-a6d0-696dc47b2286 · outbound

This paper cites Anderson, J.

An algebraic multiscale preconditioner for large sparse SPD matrices Anderson, J

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 230e2e29-b17b-4621-9b65-8b35603d1758 · outbound

This paper cites Karypis, V.

An algebraic multiscale preconditioner for large sparse SPD matrices Karypis, V

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abd5e7b9-f2e0-4e3c-a1bd-343bab8b6bb0 · outbound

This paper cites Hernandez, J.

An algebraic multiscale preconditioner for large sparse SPD matrices Hernandez, J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d024e4b9-3386-4e29-8d8b-ad9b1c349fd3 · outbound

This paper cites an unresolved cited work.

An algebraic multiscale preconditioner for large sparse SPD matrices Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T05:06:30.774004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 3fd6583e-1941-44e1-9adc-bdc2b14535f4 · inbound

AlgMortar: a fully algebraic multiscale mortar preconditioner cites this paper.

AlgMortar: a fully algebraic multiscale mortar preconditioner An algebraic multiscale preconditioner for large sparse SPD matrices

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T04:19:17.739892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.