Paper Citation Record · LEDGER

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces

As of 19 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2606.26417.

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

pith.paper-citation-record.v1
2606.26417 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T00:46:16.535760Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

16 of 16 outbound references displayed

verified exact3
verified fuzzy0
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c9a1afa7-91d9-4c69-9dc6-12b573d48f3e · outbound

This paper cites Acuaviva,C(K)-spaces with few operators relative to posets, arXiv:2511.22339 (2025).

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Acuaviva,C(K)-spaces with few operators relative to posets, arXiv:2511.22339 (2025)

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-04T16:19:57.802122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1378ac0e-3984-42b6-9d76-ff7c0b6bb9c3 · outbound

This paper cites Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-07-04T16:19:57.799537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 97a3b070-f997-45e4-99c1-4cb8894864f2 · outbound

This paper cites Primariness and the Primary Factorisation Property.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Primariness and the Primary Factorisation Property

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-07-04T16:19:57.804707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7b983f18-6393-4dca-bce8-5dea332668b6 · outbound

This paper cites an unresolved cited work.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 914f1219-38f5-4d02-8c71-38153ea3076c · outbound

This paper cites Alspach, P.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Alspach, P

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7b15f5f-1000-4646-8f31-9704e0e4b00a · outbound

This paper cites Capon,Primarité deℓp(L1), Math.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Capon,Primarité deℓp(L1), Math

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e787cdb-534a-4295-8e3e-01e9555a0789 · outbound

This paper cites Dosev and W.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Dosev and W

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 063d73ab-3ed9-4eaf-852a-c0eef5401e07 · outbound

This paper cites Hajnal,Proof of a conjecture of S.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Hajnal,Proof of a conjecture of S

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73ae16e3-7084-494e-8002-bcdd7ebaa75e · outbound

This paper cites an unresolved cited work.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66597dc7-4a4e-4a8f-a6d8-ccf0b3bf099f · outbound

This paper cites an unresolved cited work.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17afceed-b951-4e89-ad81-7def58876f41 · outbound

This paper cites Lechner and T.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Lechner and T

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8ff274d-8248-4337-94ec-4b9068501354 · outbound

This paper cites Lindenstrauss and L.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Lindenstrauss and L

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c849371c-a5d0-441c-a05d-8a8144e88929 · outbound

This paper cites Maurey,Sous-espaces complémentés deLp, d’après P.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Maurey,Sous-espaces complémentés deLp, d’après P

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0054f4a0-f7a2-487b-8e82-1b980d528407 · outbound

This paper cites an unresolved cited work.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21807880-05f5-4050-b15e-1148d91995e6 · outbound

This paper cites Pełczyński,On strictly singular and strictly cosingular operators.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Pełczyński,On strictly singular and strictly cosingular operators

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d707fb2-e58b-4882-b2af-f8788eb8241b · outbound

This paper cites an unresolved cited work.

Preservation of primariness under $\ell_1$-, $c_0$-, and $\ell_\infty$-sums of Banach spaces Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T00:46:16.535760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.