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Paper Citation Record · LEDGER

Banach modules, almost mathematics and condensed mathematics

As of 9 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2508.11268.

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

pith.paper-citation-record.v1
2508.11268 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T20:09:59.892822Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ab4edfce-707f-4633-abfd-aa7300c469ad · outbound

This paper cites Bosch, U.

Banach modules, almost mathematics and condensed mathematics Bosch, U

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:10:02.518308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:58.161280Z digest=sha256:cabcfb85ccfbb34cb01ea7729661d8da22099285f341671930ee186e89dcde18

Observation 32fa63c8-c0ee-47af-9b92-0a785cb935bb · outbound

This paper cites an unresolved cited work.

Banach modules, almost mathematics and condensed mathematics Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T20:10:02.319626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:58.299530Z digest=sha256:658885eec9e641c851046b977d753691010d28e3fdaaf60cfbe85765c566150c

Observation 6ee0d880-e8b8-45ca-9f0e-91be0bd323ab · outbound

This paper cites an unresolved cited work.

Banach modules, almost mathematics and condensed mathematics Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-05T20:09:58.406048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T20:09:58.406048Z digest=sha256:94aa251aed4e3ec1a9f0a9d1e488601b01f69996db2ab937c7efc2baa61d6cf7

Observation d7eb84f0-818a-4d0d-bf0a-a05c524cb89a · outbound

This paper cites Fujiwara, O.

Banach modules, almost mathematics and condensed mathematics Fujiwara, O

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:10:02.128859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:58.510120Z digest=sha256:283e1330d33c29501d2088fa833bc522d84a4c69643960a512a4c10c258175f2

Observation e16005d5-b6b0-4c04-9a57-9073057d19cf · outbound

This paper cites Fujiwara and F.

Banach modules, almost mathematics and condensed mathematics Fujiwara and F

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:10:01.964376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:58.619416Z digest=sha256:1683c7315e7da86535877f29b53888fc772862a75b95c8ce2560073ffe63ef12

Observation b428e02c-2580-427b-991f-c35cc1b3a6db · outbound

This paper cites Gabber and L.

Banach modules, almost mathematics and condensed mathematics Gabber and L

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:10:01.872590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:58.737920Z digest=sha256:a12d8c78f843b4e8977f4e7e2485d7fb29e453f34095bac7c56b216cb82108c1

Observation 482209ea-13df-411f-be37-f0ef31b56c17 · outbound

This paper cites an unresolved cited work.

Banach modules, almost mathematics and condensed mathematics Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T20:10:01.745076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:58.820474Z digest=sha256:74535d1f953242c019ada8564e0f02a951f9350985538732a863855d32ae3c54

Observation 1e48262c-7fcd-4f73-bcf0-4de10a0402b7 · outbound

This paper cites Johansson and J.

Banach modules, almost mathematics and condensed mathematics Johansson and J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:10:01.675134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:58.949609Z digest=sha256:fda00ce5989ccdeba89e10dff1305d81596ec5a66cbb94b0deb0314a8983799b

Observation 0a805177-3326-4897-b635-648860a1b67f · outbound

This paper cites Johansson and J.

Banach modules, almost mathematics and condensed mathematics Johansson and J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:10:01.604418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:59.078427Z digest=sha256:2582b4af293e9d89c90391deebcfbd39597001810c5e6ed2efab07ad77e34ad6

Observation 42c1eb83-bc55-4058-b084-e16895902f38 · outbound

This paper cites an unresolved cited work.

Banach modules, almost mathematics and condensed mathematics Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T20:10:01.423953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:59.176013Z digest=sha256:cb02e68448a343a9c11e0c8ce46a0cf95e7e9d6acf6ee792e51e8aea5b1cdabc

Observation a011ef71-fbd4-441a-a32b-71992b0f5e11 · outbound

This paper cites an unresolved cited work.

Banach modules, almost mathematics and condensed mathematics Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T20:10:01.215680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:59.315503Z digest=sha256:4dc7b32e4c89369a3f8d4f24538fd22407174fbc0c9e08dfe73c2827df3e50bd

Observation f8ef919f-8818-4ea4-8599-93b73c10e8d3 · outbound

This paper cites Kedlaya and R.

Banach modules, almost mathematics and condensed mathematics Kedlaya and R

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:10:01.071804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:59.436894Z digest=sha256:c180f3fa3e8ceedaf09d1f94abda1665c3c2ddd7155003914324a5ec3810e6d2

Observation aa4256f7-4960-49ed-9431-0922b9a3cbad · outbound

This paper cites A $p$-Adic 6-Functor Formalism in Rigid-Analytic Geometry.

Banach modules, almost mathematics and condensed mathematics A $p$-Adic 6-Functor Formalism in Rigid-Analytic Geometry

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-05T20:09:59.517860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T20:09:59.517860Z digest=sha256:454361047541c89bf8b3004f654ab50ff13be2cefd6be533fea0bc95ff430a70

Observation d00460c6-caa7-4498-ae70-54f816d97f47 · outbound

This paper cites an unresolved cited work.

Banach modules, almost mathematics and condensed mathematics Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-05T20:10:00.921166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:59.522662Z digest=sha256:61a41977e2571bb6a5da8e0eba91a9cd32d30daa721e7fcd7b340c42ab399958

Observation d73b932d-b28b-4eff-b883-9bedaf3ce43c · outbound

This paper cites Schneider.

Banach modules, almost mathematics and condensed mathematics Schneider

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:10:00.787843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:59.535094Z digest=sha256:891c0f508ffb0b4231ec7dcdfd4d1c5616a82f8513ac26807fd9ba0f5cf5f5da

Observation e882c5ea-e87f-4416-a194-9ade20bb811e · outbound

This paper cites Schneiders.

Banach modules, almost mathematics and condensed mathematics Schneiders

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T20:10:00.659224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:59.602585Z digest=sha256:d1ffd4d16c02ed56292cb1e5e11120566874c58b4c89d34cd3ffed590f242089

Observation 5ab1cdec-0abf-4e2d-926c-bbb72a3b0c71 · outbound

This paper cites an unresolved cited work.

Banach modules, almost mathematics and condensed mathematics Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-05T20:10:00.527002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation c3ea40a8-017d-4cd2-8fe2-a73c75500123 · outbound

This paper cites an unresolved cited work.

Banach modules, almost mathematics and condensed mathematics Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-05T20:10:00.394050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:59.754254Z digest=sha256:1025ce4fca9e43a53dd82b1159034d088f6cae38ec2a630e5b6382f89e13c391

Observation 0c6004bf-9f80-4b52-820f-a1315f99ee7b · outbound

This paper cites an unresolved cited work.

Banach modules, almost mathematics and condensed mathematics Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-05T20:10:00.274346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T20:09:59.805253Z digest=sha256:68365f02b1293dade4c001e2b2b0f69c20501d565fa96554e7473a4de76c4b09

Observation b717db8a-8395-453e-ac56-ee1221975f9a · outbound

This paper cites an unresolved cited work.

Banach modules, almost mathematics and condensed mathematics Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-05T20:10:00.151270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Pith citing papers

No inbound Pith citation observations are available.