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Paper Citation Record · LEDGER

Banach modules, almost mathematics and condensed mathematics

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:58.161280Z digest=sha256:1dcb5f9c27187ff79e96badfdea97fed575a0e6814ae8c68d24dfbb7da4345cc

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:58.299530Z digest=sha256:54a9a2a26096e3c5334af7654360eb5a5430e567f7c6b2b63100e97a4b4dde92

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:b85cd6c8bbfd8cd4daa797d42ab4d5054d359a7734ff43d057e473a9b5deb695

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:58.510120Z digest=sha256:eecbe2b291ad758607fcdd6e62652a64414a6596252aed2f33fff1aa60803985

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:58.619416Z digest=sha256:716ae83d9bf21923f59a8fc3f22528ddbcfe72d0dae32ac7b435748c3def63ae

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:58.737920Z digest=sha256:d4e3135aedeabb3254e5a8070b6aca747a4ee339ef80e9e39a081d9d18383b3d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:58.820474Z digest=sha256:d96cc3b0fb26a884fe8d1866074b9932b44fcfe3dd819d8a026b0279ef47ceec

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:58.949609Z digest=sha256:b2d840ba183e2da09d3567983efae3cea7ca7410a9eff23e25942aa6caf5a3c5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:59.078427Z digest=sha256:e2c2c6cfe4c380a335a86f6d0cdc63328896c70732b628a9ba96658c837f0738

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:59.176013Z digest=sha256:1e3877432300dc7b29360a9792ae6b3c6978037355ff12ce68f46cf6d1935089

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:59.315503Z digest=sha256:705f8a8ddb4c28bbc2cec957eabbbc54c4ba038dd41a1a1e9e8e527787755658

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:59.436894Z digest=sha256:7f306ff3bd1be40c3b027a066daa8a04c7908fb8b09abc47e87cc6f4289656b7

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:b194b07d3d8e531c20c626cf0e451ffe24869f347861f10ce73ea166886c744d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:59.522662Z digest=sha256:e65eccbb72fd556329de26ba7c9df9e5397b99ec0f970025eb393bdef5fc9d44

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:59.535094Z digest=sha256:ee2c4af942981050b47f8ca4c9e4ab05e3da3a6051dbd1fa868916864ccdecb9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:59.602585Z digest=sha256:ed44fea14529a33fdce82abbf519ccd38c111984c59ae2047ebee1676843591d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:59.687797Z digest=sha256:d92b92d4f5f8c94f6e0562211d3a134ac72712fef3659cdd990d8df728279166

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:59.754254Z digest=sha256:44948f2132637cc2fb46441b684b0b34fab6cfc1b852c8812e9b9361f7021b8e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:59.805253Z digest=sha256:55ba4bcc17285411a8807cfaf764b77cf43f35fc3d7661b617a70bdb890c4352

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T20:09:59.892822Z digest=sha256:6162de5602bba5174d2c498851e1baf3d324324b42de1a4ed567968dd866d426

Pith citing papers

No inbound Pith citation observations are available.