Paper Citation Record · LEDGER

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

As of 7 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 3 inbound Pith citation observations for arXiv:2605.29854.

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

pith.paper-citation-record.v1
2605.29854 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T00:34:30.851172Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:16:43.307420Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

30 of 30 outbound references displayed

verified exact2
verified fuzzy0
unresolved28
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 537e7ec5-6f34-4807-9eaa-9dad4b1a88a5 · outbound

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

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Acuaviva,C(K)-spaces with few operators relative to posets, arXiv:2511.22339 (2025)

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-01T19:06:03.392612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5484ac29-2b12-4dd8-9611-fe2b364881a1 · outbound

This paper cites Primariness and the Primary Factorisation Property.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Primariness and the Primary Factorisation Property

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-07-01T19:06:03.395011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2c510c57-ff79-4312-b971-951cda08dac3 · outbound

This paper cites Albiac and N.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Albiac and N

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ca25ae4-133e-4ed2-996d-b9ada107ff37 · outbound

This paper cites an unresolved cited work.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ee8fd59-4a2b-4f3e-955a-53e7a5c6803d · outbound

This paper cites Alspach, P.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Alspach, P

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f63036a-8cc9-4eae-b0ad-dc1c2ae3ad82 · outbound

This paper cites Baker,Compact spaces homeomorphic to a ray of ordinals, Fund.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Baker,Compact spaces homeomorphic to a ray of ordinals, Fund

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cc65c05-c983-450b-8665-7239df09d3ea · outbound

This paper cites Bessaga and A.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Bessaga and A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48ec54b0-d33b-4683-b46f-6c7482f8b85b · outbound

This paper cites Billard,Sur la primarité des espacesC(α), Studia Math.62(1978), no.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Billard,Sur la primarité des espacesC(α), Studia Math.62(1978), no

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba36ab0c-fc3c-4b2e-855a-86c99e28d690 · outbound

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

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Capon,Primarité deℓp(L1), Math

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbb87523-a523-4d70-a460-6ace2734ce09 · outbound

This paper cites Capon,Primarité deL p(ℓr),1< p,r <∞, Israel J.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Capon,Primarité deL p(ℓr),1< p,r <∞, Israel J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16442205-f9bb-4ccb-924f-2b234b64d816 · outbound

This paper cites Capon,Primarité de certains espaces de Banach, Proc.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Capon,Primarité de certains espaces de Banach, Proc

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efa28f8e-e727-4c63-8ccc-e22e8b17cbef · outbound

This paper cites Capon,Primarité deLp(X), Trans.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Capon,Primarité deLp(X), Trans

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2652a92-cddc-4d30-a01d-fd48d12148ab · outbound

This paper cites an unresolved cited work.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02634bf3-acdd-4738-8a30-6eae98e02669 · outbound

This paper cites an unresolved cited work.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee31b850-6272-4e8f-acf0-1bbc3c874cbe · outbound

This paper cites Dugundji,An extension of Tietze’s theorem, Pacific J.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Dugundji,An extension of Tietze’s theorem, Pacific J

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b5329a6-2404-4702-a5cb-179928208ebf · outbound

This paper cites an unresolved cited work.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 730db094-bdb7-4983-b8eb-67da237ff9e4 · outbound

This paper cites an unresolved cited work.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87f10082-ab07-4591-aa5e-1a5e9da6024c · outbound

This paper cites Lechner, P.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Lechner, P

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7ac8d7b-d40f-4ffd-9ea1-67c8fbf427c7 · outbound

This paper cites Lindenstrauss,On complemented subspaces ofm, Israel J.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Lindenstrauss,On complemented subspaces ofm, Israel J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8318a846-d5cd-402d-84de-4e5e4a97a4af · outbound

This paper cites Lindenstrauss and A.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Lindenstrauss and A

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3af07a2-f3cf-43f3-8ce3-7a6b8b6ff328 · outbound

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

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Maurey,Sous-espaces complémentés deLp, d’après P

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1c86f55-9056-419b-bc77-36b86ebe87bb · outbound

This paper cites Michalak,The Banach spaceD(0,1)is primary, Comment.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Michalak,The Banach spaceD(0,1)is primary, Comment

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4638d3a0-d227-4147-8699-bdab1d70ff56 · outbound

This paper cites an unresolved cited work.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49a69699-5d5d-415e-b646-c44a00780af1 · outbound

This paper cites an unresolved cited work.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c355010b-7b6e-4568-9651-d2749f226133 · outbound

This paper cites Pełczyński,Projections in certain Banach spaces, Studia Math.19(1960), 209– 228.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Pełczyński,Projections in certain Banach spaces, Studia Math.19(1960), 209– 228

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4128aa1c-1338-4c8e-8f92-5bc6474b3b37 · outbound

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

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Pełczyński,On strictly singular and strictly cosingular operators

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73595ad1-d6a1-4728-840e-519e1979305b · outbound

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

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Pełczyński,On strictly singular and strictly cosingular operators

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a917ef4-f246-49cf-959f-560d3dcb188d · outbound

This paper cites an unresolved cited work.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 443b0d2d-2a98-4095-9f5d-b6b3455cb2fc · outbound

This paper cites an unresolved cited work.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20e59a26-609a-4f24-a015-3a28a9d6f5e0 · outbound

This paper cites an unresolved cited work.

Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$ Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-29T00:34:30.851172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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

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

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 2026-08-07T06:34:17.273281+00:00.

Observation f0c39b82-ed84-40b1-ae98-91ac1f6980a8 · inbound

Pure infiniteness and primary factorisation cites this paper.

Pure infiniteness and primary factorisation Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-03T18:18:49.100856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6462e5e1-9cd6-461a-b527-10efc3cbd5e9 · inbound

Mathematical Discovery in the Wild: AI-Guided Proofs in Banach Space Theory cites this paper.

Mathematical Discovery in the Wild: AI-Guided Proofs in Banach Space Theory Primariness of the spaces $\ell_p(C(K))$ for $1 \leq p \leq \infty$

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T18:16:43.307420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.