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Paper Citation Record · LEDGER

A stable rank filtration on direct sum $K$-theory

As of 19 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2501.01609.

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

pith.paper-citation-record.v1
2501.01609 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:50:28.277032Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

25 of 25 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21d6c1dc-6651-4874-a564-952a02bc90ba · outbound

This paper cites On (enriched) left B ousfield localization of model categories, 2007.

A stable rank filtration on direct sum $K$-theory On (enriched) left B ousfield localization of model categories, 2007

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.534451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.193237Z digest=sha256:088f53f537e730d66a8e3b322a0a78313f28017c3e1c18350c29d739da83c546

Observation fc67a322-3d65-48d9-b9df-c8edccb7c587 · outbound

This paper cites Handbook of Categorical Algebra.

A stable rank filtration on direct sum $K$-theory Handbook of Categorical Algebra

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.523634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.197119Z digest=sha256:62e99eecdc0ec360bf4cb0e059bd11c7670b0802846621cb530bbb92be5866c4

Observation 98b6ed66-7b1b-4034-9a6e-5a9944ee96fa · outbound

This paper cites On the homology of non-connected monoids and their associated groups.

A stable rank filtration on direct sum $K$-theory On the homology of non-connected monoids and their associated groups

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.515399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.200674Z digest=sha256:1b0398c00163b5a0b25d4068ded80837a1ad32a301340381925ade8d864cb64b

Observation 6746094b-ef15-40a3-acc2-13228ca913e6 · outbound

This paper cites an unresolved cited work.

A stable rank filtration on direct sum $K$-theory Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:28.506304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.204300Z digest=sha256:7faf9150403ce6da85c1898d29e33f015d353dfdc344c680d088c19cb4f3b359

Observation ca9088f8-3532-4110-a7e8-1c29378ee56f · outbound

This paper cites Cohomology of braid spaces.

A stable rank filtration on direct sum $K$-theory Cohomology of braid spaces

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.496625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.209015Z digest=sha256:92e8c351c83793b775f201bcbe63468cee66a46af7a43b87374dc725c84f542b

Observation e6412072-d9b3-4864-a752-7f65990037f8 · outbound

This paper cites an unresolved cited work.

A stable rank filtration on direct sum $K$-theory Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:28.487423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.212439Z digest=sha256:99e329a82aca5777d57e83f3735ffa0ca21a9e9c53f8c0505a37d2d8d90e3467

Observation e047e1d0-2734-4691-b801-7ddb2ffb200c · outbound

This paper cites an unresolved cited work.

A stable rank filtration on direct sum $K$-theory Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:28.478989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.216176Z digest=sha256:766c8169b60040a0d6c1bcb0ef7633babbb384cfccef9b302b0d6c6998f94a19

Observation 759f4cf9-d437-42f3-bb06-823eae3c52d9 · outbound

This paper cites Cellular spaces, null spaces and homotopy localization , volume 1622 of Lecture Notes in Mathematics.

A stable rank filtration on direct sum $K$-theory Cellular spaces, null spaces and homotopy localization , volume 1622 of Lecture Notes in Mathematics

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.471426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.219723Z digest=sha256:b45794ba0590a37f4b371cfabf5bcc55a8d422f5dda5d3903f611ea934cb1b55

Observation 80b44968-23c8-4a64-8d95-bfb4bc80441b · outbound

This paper cites Iterated bar complexes of E –infinity algebras and homology theories.

A stable rank filtration on direct sum $K$-theory Iterated bar complexes of E –infinity algebras and homology theories

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.463423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.223231Z digest=sha256:d13f122d844745c5f8b77d698100b765b7a4e94ccb812de803db23d19bcd4d1b

Observation 9001de15-b3ab-42e2-891a-3bf13598a79e · outbound

This paper cites Cellular $E_k$-algebras.

A stable rank filtration on direct sum $K$-theory Cellular $E_k$-algebras

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-10T22:50:28.226645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:50:28.226645Z digest=sha256:2294b47ac1af2e3ca495e9a17148bbc5bfef4a29dfa3f0aae06315b868e90b00

Observation 4c7ca3ba-2d2c-4690-9310-2d5fe3e3564c · outbound

This paper cites $E_\infty$-cells and general linear groups of infinite fields.

A stable rank filtration on direct sum $K$-theory $E_\infty$-cells and general linear groups of infinite fields

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:50:28.329740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.230481Z digest=sha256:3448c816cdef0336d2dbc7f18db6f85d0d5666b62260cd0c556e4323cb3be38f

Observation 8f430fba-b590-4856-890a-6884a1c1f47b · outbound

This paper cites Configuration spaces in algebraic topology.

A stable rank filtration on direct sum $K$-theory Configuration spaces in algebraic topology

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-10T22:50:28.234138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:50:28.234138Z digest=sha256:31da3cea4a17b9025d0b5b1c13e97bd683c93f88d4655e288d26c82f55a9e564

Observation 0f4bdcd7-d2cb-42f3-865d-cc75102d15e5 · outbound

This paper cites Kadeishvili and S.

A stable rank filtration on direct sum $K$-theory Kadeishvili and S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.455247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.237870Z digest=sha256:54258e4c4845f797330d8cc5b963a5f427bdd99001e834e847aa2da7aafa1f94

Observation 67719340-d625-4945-b1e0-75d413a37968 · outbound

This paper cites an unresolved cited work.

A stable rank filtration on direct sum $K$-theory Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:28.446020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.241082Z digest=sha256:ce5b1bf36127e2b507ebd2daa8c3b81b8300799de2e836fadb858e19d94f5cc2

Observation 5c35cdbd-631c-4fd3-85c4-c56aad827e7f · outbound

This paper cites Mirzaii and W.

A stable rank filtration on direct sum $K$-theory Mirzaii and W

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.436200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.244308Z digest=sha256:a204c2ccd393ce2dd8e42ce63c44295da318751e74d79867edcbb0239f4fefbf

Observation 0fd72ff2-6cbf-4dba-b457-0be60d7610fa · outbound

This paper cites Finite generation of the groups ki of rings of algebraic integers.

A stable rank filtration on direct sum $K$-theory Finite generation of the groups ki of rings of algebraic integers

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.426136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.247515Z digest=sha256:0a1944c212c0f87f976644ca2615815123c3fdb7a253ffbd6ead051b8e06c7c4

Observation e3d8ce93-8e19-4f91-bed9-44ee5047394c · outbound

This paper cites an unresolved cited work.

A stable rank filtration on direct sum $K$-theory Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:28.416752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.250805Z digest=sha256:48a3e5fbed91f517fbebaa4ff9699df52a48a36ceb0575be0636ce8765646cf3

Observation d0b1c4d1-d963-45f9-9b80-451973b9b80c · outbound

This paper cites The weight and rank filtrations.

A stable rank filtration on direct sum $K$-theory The weight and rank filtrations

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-10T22:50:28.253851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:50:28.253851Z digest=sha256:be53fdde7413b4e6f9d25c0f25e357dd35d5638477de643a6e9ccafd8b85ec9c

Observation 0b0c678d-1078-4894-a426-047d91468982 · outbound

This paper cites Randal-Williams.

A stable rank filtration on direct sum $K$-theory Randal-Williams

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.407429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.257471Z digest=sha256:44faccb19bffa3c7483ba66f7f21061bdcf41d0dbd22f3db757db95356c2574d

Observation adaf2b70-a732-4252-86d2-774bc7a9be8c · outbound

This paper cites Symmetric spectra.

A stable rank filtration on direct sum $K$-theory Symmetric spectra

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.397508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.260693Z digest=sha256:c2f9334ac04a78406b3612d7bbe3eba57a218f3d4e67bb31b90825c909cdf3a1

Observation 1b5859e6-bb73-446a-838c-b880e3ebbd72 · outbound

This paper cites Categories and cohomology theories.

A stable rank filtration on direct sum $K$-theory Categories and cohomology theories

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.387751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.264248Z digest=sha256:72f748abaea6859a0ed0b1eb7a86a412282487c1a286bee0e9e29f30b5f84555

Observation 18be0018-0ce6-4318-a019-a0c28742960d · outbound

This paper cites Spherical complexes attached to symplectic lattices.

A stable rank filtration on direct sum $K$-theory Spherical complexes attached to symplectic lattices

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.377922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.267521Z digest=sha256:10e05890c840f8679f60091ec83c9e8425a6270acbd1d820996f1ee8a1331b4e

Observation f00673dd-d4ff-47ad-9f06-022ea651125d · outbound

This paper cites Waldhausen.

A stable rank filtration on direct sum $K$-theory Waldhausen

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:50:28.367308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.270702Z digest=sha256:cec5cf8f877f0548bc727c3cb64b568a1a8da8bc5b1133ef46577191274046b4

Observation d22c007e-d6d7-4a71-8d62-aca64a53f254 · outbound

This paper cites an unresolved cited work.

A stable rank filtration on direct sum $K$-theory Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:28.357846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.273995Z digest=sha256:c709ad634643a6ec077e837942fadb7c9549e095c23070f53f62ad5cdeabec1b

Observation 6fa9504e-264c-45a2-a968-b854101e63ec · outbound

This paper cites an unresolved cited work.

A stable rank filtration on direct sum $K$-theory Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:28.348693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.277032Z digest=sha256:fbfb2f7ecf2852176dca2fbaead065996a74e1fce077e6ce19e68aebf2c09c3b

Pith citing papers

No inbound Pith citation observations are available.