Paper Citation Record · LEDGER

Banach modules, almost mathematics and condensed mathematics

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.