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Paper Citation Record · LEDGER

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.03845.

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

pith.paper-citation-record.v1
2506.03845 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:21:49.404405Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy3
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 19a20de1-5fc1-48ae-8d81-af5753740860 · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:52.031049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:47.550727Z digest=sha256:c5ae789159b0bbb7ff015f46732852b110690a16aa9927f9fe2fee014b7fa2a7

Observation 7c649a9d-05c1-4888-b064-e1a0bffb7e8c · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:51.929636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:47.693001Z digest=sha256:d014a8b2e40473b893d546e35b2686a93f3b4644ffe2b9d035605d75965ba9d1

Observation 8666f969-ecf5-4d0f-b6b9-c9b499b31cf9 · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:51.837751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:47.776113Z digest=sha256:e8dacba072c722e259070d4027ccd000419098cb531d13a2bc0b4c2876532df3

Observation 284cb733-9f29-44d5-a714-7ed3c241dc9d · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:51.751483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:47.939025Z digest=sha256:f71070ec26f606ca36637952789cfe1a210a8aa4028c7893d0ff834916dba033

Observation 686bfeed-3f29-4612-a8f7-2400f3b95554 · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:51.651289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:48.030162Z digest=sha256:1c18ab3c0ae145b5eb6c0a00e5eab28942ba85cdcde48f24ce6991ca1226c718

Observation b4a65440-f8fa-4437-8b21-253bbe999790 · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:51.529909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:48.122162Z digest=sha256:37694c58476408000881ff504ab4b9e4a3d631cae800061f59096c3aa1e7a6a2

Observation e16f3666-ef2b-44cd-8982-2c049b25b3a6 · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:51.446781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:48.275370Z digest=sha256:7ce9fbed8c18708922230aade6386986bf508fbced35f04f58f287d38fc1ecb8

Observation 49836bad-6416-4976-b9e1-158225540d3e · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:51.294266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:48.376994Z digest=sha256:d0f76d18542caab1e649445d865db0f0821b450ca041540da4a3324efa6a38f0

Observation 5a4b2b15-907e-4428-85aa-d8982cd041f3 · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:51.116308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:48.500048Z digest=sha256:192fbeba4395cb3f1879aaa8afa448e6f19fed0f0f310f0b7c04e7ef90de9424

Observation 9526fcb1-63f4-4294-bcdd-57475391e34b · outbound

This paper cites 18 Rounak Biswas and Falguni Roy.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras 18 Rounak Biswas and Falguni Roy

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:21:50.942702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:48.573644Z digest=sha256:887e1d043b5d0a6b7e833102a17a65016120bc3b40cea05792351a7795a3d37b

Observation 9f7ebdaf-eed3-40b7-90ea-2c68de17bfae · outbound

This paper cites On gs-drazin inverses in a ring, Journal of Algebra and Its Applications,.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras On gs-drazin inverses in a ring, Journal of Algebra and Its Applications,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:21:50.773760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:48.701121Z digest=sha256:e6a0b8fdd538405116181dd086de9d0b5a52fa8f8c0398bdbfc7d2cd15c8e838

Observation caa34253-1b32-489f-92ed-228ea90337ea · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:50.645080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:48.801861Z digest=sha256:4fef9947c78708b3875e152d6501a57338518380db38398aabd54ee3a54255e0

Observation 2da425b3-e9c4-43a1-b56e-655ad34afa38 · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:50.470820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:48.891048Z digest=sha256:9d985b8b121f0fbc43d7f2314e99653d46d1d5fdd89734c0f587b55589507482

Observation 984085d5-e1c5-4227-9e1f-28558e943c34 · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:50.322007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:48.949997Z digest=sha256:8be4ac726290ff3f3a2d96f225f308312adc147f555c7657e175f158eeb7b5f0

Observation f1e74747-53dd-40ce-9386-364731e38c5b · outbound

This paper cites 134 (2004) 1085–1097.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras 134 (2004) 1085–1097

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:21:50.124615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:49.073166Z digest=sha256:8ec30fc2a016afcc541eb493bd23e1bb124f6cfc8a49482260ddb7fae689f030

Observation 039e96d4-0897-4070-a6fd-1fe3c0d2e15f · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:49.986626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:49.146705Z digest=sha256:47c49871f7a7ac75b35ccef0d36b22ed15ed0919e0ade1e497e86e49b6e2e814

Observation 75cb2cc6-d82d-42a6-a2ed-2e61df990388 · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:49.833022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:49.269302Z digest=sha256:c95be0a8504d1539fcda3689e0f9d9294c22e2f9a26ec435b933c317d2d3082e

Observation 0555636e-f409-4013-80c0-62a32d617c96 · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:49.679881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:49.339813Z digest=sha256:d86fe71151b21a563f1874f68e7054acb656af5739f01cecb3e2140e3d80e095

Observation 398cce77-d383-46c7-891b-4d0c106bb5e5 · outbound

This paper cites an unresolved cited work.

The generalized and pseudo $n$-strong Drazin inverse of the sum of elements in Banach algebras Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:21:49.547478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:21:49.404405Z digest=sha256:d8ca59ad7eb95caf4be5ccdb93b0fb442184e1515c00b526be5bc8d1fcaa0911

Pith citing papers

No inbound Pith citation observations are available.