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Paper Citation Record · LEDGER

The Stability of Block Eliminations and Additive Modifications

As of 21 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2509.07305.

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

pith.paper-citation-record.v1
2509.07305 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T22:45:42.084029Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

23 of 23 outbound references displayed

  • verified exact8
  • verified fuzzy1
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a3ee4a50-003f-455a-817a-1048c72f77c1 · outbound

This paper cites Amodio and F.

The Stability of Block Eliminations and Additive Modifications Amodio and F

Reference 1

Resolution
verified exact
doi, observed 2026-08-04T22:45:42.308978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.011633Z digest=sha256:40d63ec0dab2cab618f75580f1d3eb6aa82df70f55052414f304627ead9b4f9a

Observation bb665f75-b2e1-4524-9749-e48aabfdb429 · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 2

Resolution
verified exact
doi, observed 2026-08-04T22:45:42.298624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.015743Z digest=sha256:01354d9e8dffe0b63390d6b4fbc1b9efb784f5b94c52fcd0a871d37406214d20

Observation 6ebeaa54-78d3-428f-bd91-2daffecde09c · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 3

Resolution
metadata mismatch
arxiv_id, observed 2026-08-04T22:45:42.372009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.019209Z digest=sha256:a8db59be5ae929cc95ad6c0296f9593fae44e801383f80b36c270b8981d4d4a7

Observation 7015fd62-a99a-4b31-8097-94a7d51f40a0 · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T22:45:42.022501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T22:45:42.022501Z digest=sha256:4c57762f53794b1931838e7da2721af4762de4f8e74432d89e80646aef3eff64

Observation de65e4b0-a16e-4902-ae11-1650abff0e69 · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 5

Resolution
verified exact
doi, observed 2026-08-04T22:45:42.182774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.026267Z digest=sha256:ae22f04c4b91a3f97b58db4791fe1502741e216dc8f01ff6f63348a0dd1fe450

Observation cf1ae083-5cac-4636-9437-73c158375f04 · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:45:42.420567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.029917Z digest=sha256:4a301c5d6592cd08e342c9c470add99d549c2f405b2e6e0dfc5fb1b596fa49e8

Observation 76579d1d-8eb9-4459-b6bc-e5a0eab92dc1 · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:45:42.411275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.033733Z digest=sha256:1a7d4d4079b52b2566d74447c37b960ff2e97db3992acba774b4277da1e54c63

Observation fcb56748-e4b7-4415-ad70-bce69be5d980 · outbound

This paper cites George and K.

The Stability of Block Eliminations and Additive Modifications George and K

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-08-04T22:45:42.358599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.037192Z digest=sha256:db4b408507f7361287cba1372583ab31c0df74286eccdde37b65a31d862f986d

Observation 2e292996-55a9-4eff-952c-0ecbca750db2 · outbound

This paper cites George, K.

The Stability of Block Eliminations and Additive Modifications George, K

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T22:45:42.040351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T22:45:42.040351Z digest=sha256:4f4a62f33b7e5293b2c46907b4d102063434120a24e1355c8d9b5cff93580267

Observation 098679d0-3ba8-43a9-9584-4625eb5f2b4e · outbound

This paper cites George and Kh.

The Stability of Block Eliminations and Additive Modifications George and Kh

Reference 10

Resolution
verified exact
doi, observed 2026-08-04T22:45:42.167969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.043510Z digest=sha256:9dafcc6438b9a3f2b2a3d52c819937cd75bc8261cfd38dadfa79fa362a674b3d

Observation b12a6aea-f9c5-42e7-98f0-512d5154dd14 · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T22:45:42.046581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T22:45:42.046581Z digest=sha256:e11cde126f67c4821707886c2ec418255476c4123c6787d18ec2f6c8ebb3d257

Observation 352b309d-901e-442b-ab67-21b7d3169551 · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T22:45:42.049725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T22:45:42.049725Z digest=sha256:046e1e5bd8d6227781f26f500d92eadd3dc42b0f9cc785feb7b7797be9aee157

Observation 55557788-170e-4489-9e7f-456cafbd1aa6 · outbound

This paper cites Lindquist , Reducing Communication in the Solution of Linear Systems , PhD thesis, The University of Tennessee, Knoxville, TN, USA, Aug.

The Stability of Block Eliminations and Additive Modifications Lindquist , Reducing Communication in the Solution of Linear Systems , PhD thesis, The University of Tennessee, Knoxville, TN, USA, Aug

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T22:45:42.401231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.052806Z digest=sha256:f4717756e9aa77959286511ffb29d8773aeeab78ca6abd9e5b3823f83932e5c5

Observation e7398890-4f85-4862-acf1-0be58f7af210 · outbound

This paper cites Lindquist, P.

The Stability of Block Eliminations and Additive Modifications Lindquist, P

Reference 14

Resolution
metadata mismatch
arxiv_id, observed 2026-08-04T22:45:42.336623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.055910Z digest=sha256:85073fca44a45f95f948c6c404dfd44a91652c14c090c3098853067894f4021a

Observation 6ccaf3e0-5d3a-4be3-bcf1-d328038009fd · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-04T22:45:42.059065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T22:45:42.059065Z digest=sha256:260c19d42ab672f1d93c0c6063f3ff832800d7e861736047649426d97a572196

Observation 371a01b5-414e-4765-b05a-9f9d2dec328c · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-04T22:45:42.145581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.061980Z digest=sha256:3d7590d6edb4530c2ba872e946d62e72693c8f14c0b2a6306302d8a97a219533

Observation 6db209e2-e7fa-41bd-a1e4-23ca99045673 · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-04T22:45:42.065116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T22:45:42.065116Z digest=sha256:4304b3e38d3c9a0a878572e7998455fb8ffd85d4c0dd43371e4a3860de4dca98

Observation 9d184a53-dd3b-4fa2-9765-8aed11b27b66 · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 18

Resolution
verified exact
doi, observed 2026-08-04T22:45:42.130419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.068031Z digest=sha256:abdde7c151dcd1f736a00a52d8d10e334744fcf676f734eaae591ae2cd1037c6

Observation 1aaab942-0420-4970-9012-9d230a6c3184 · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 19

Resolution
metadata mismatch
arxiv_id, observed 2026-08-04T22:45:42.322735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.071327Z digest=sha256:66cea77e53fe968909816a1702cefaf829defa30234aa7c7c104356b89b95a5d

Observation b5ce2c17-7a00-4dd7-85f6-69d3ad653cec · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:45:42.391042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.074236Z digest=sha256:80f2cf38895926dca9500b5840a61d17da20a5873cd05b5fff95f8e0427ac115

Observation 6fc183b7-ad5d-4bfb-9e64-30bc22d2f5d4 · outbound

This paper cites an unresolved cited work.

The Stability of Block Eliminations and Additive Modifications Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-04T22:45:42.381307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.077897Z digest=sha256:f72b664c39105bd7312cd0eff2330336f1c7502f6d9c9254d98ed7767bbf89d7

Observation aea79129-7364-49fe-9a8f-4d2859ba4e4b · outbound

This paper cites Zhang, T.

The Stability of Block Eliminations and Additive Modifications Zhang, T

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-04T22:45:42.080959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T22:45:42.080959Z digest=sha256:3b9134cbdbe0d4cbfb0f5a3e04fca3387271ce7bc877354e17464754e9a8db60

Observation 6125d82e-c3ee-45bf-bddf-db4ca8c01738 · outbound

This paper cites Zielke , Testmatrizen mit maximaler Konditionszahl , Computing, 13 (1974), pp.

The Stability of Block Eliminations and Additive Modifications Zielke , Testmatrizen mit maximaler Konditionszahl , Computing, 13 (1974), pp

Reference 23

Resolution
verified exact
doi, observed 2026-08-04T22:45:42.112904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-04T22:45:42.084029Z digest=sha256:8307b491d3bfc0f2e03d0f4f1f6c27cbd3935a1ade216b342b0131dec14d2e30

Pith citing papers

No inbound Pith citation observations are available.