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Paper Citation Record · LEDGER

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

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

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

source=arxiv_source observed=2026-08-10T22:50:28.193237Z digest=sha256:35d9cfbfe03994e138d25bf1d1ec905b3e8d45c54e54cdf9dbb0ef3ff79807aa

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

source=arxiv_source observed=2026-08-10T22:50:28.197119Z digest=sha256:c2470a29a6557452815b208cd9a16bcd663d8a90316169798660460d9e9c6b30

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

source=arxiv_source observed=2026-08-10T22:50:28.200674Z digest=sha256:ba0d48c45101fd2ab31b37f0f9a21d95361e3b0bae3f4b4b0a367c6cfc5c7b53

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

source=arxiv_source observed=2026-08-10T22:50:28.204300Z digest=sha256:1ffc9687efb7aa11548450d28fa2ffdc0672d2701706fc8c03a650b1f038df1a

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

source=arxiv_source observed=2026-08-10T22:50:28.209015Z digest=sha256:55e065a84ae1b1b2ab5fa1b1605c27772e56a7bdc3a5afff5ec713862acae7b3

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

source=arxiv_source observed=2026-08-10T22:50:28.212439Z digest=sha256:1db6cd36b8ba7c0fa6389e70ad61e5162b29ef3b37ac63725bc77700e7834ca9

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

source=arxiv_source observed=2026-08-10T22:50:28.216176Z digest=sha256:f345e511636fd14c0517b737f9f2c434835596cfad3551e6fcb8c846b02d6443

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

source=arxiv_source observed=2026-08-10T22:50:28.219723Z digest=sha256:5b839a85260b4a8374a4edaf102454e6d7b4346fee22794b61f5d9f994de8591

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

source=arxiv_source observed=2026-08-10T22:50:28.223231Z digest=sha256:63c897eb51ca47b3832e0c660c03ea70f2624b3cea0d5fe7dbfca46eae54fdbf

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=sha256:5a4b2f7cf3cca34bb9f7f943c8c61a1a96de04c775a68415cc8de23f15f41d10

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

source=arxiv_source observed=2026-08-10T22:50:28.230481Z digest=sha256:e8fb702fc3ebdecb97fea227eaa91c636b0df96b26bc74897b6a35dd018e25b4

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:e1b6cedf8c0df34d5b27b01a238f1c1ec325f6f4c43071cc80eb3889a7431d8f

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

source=arxiv_source observed=2026-08-10T22:50:28.237870Z digest=sha256:58e1bccf0f9f673c7b4d6d337c27b920b9af25087a35a5efabaabe984f6c32fa

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

source=arxiv_source observed=2026-08-10T22:50:28.241082Z digest=sha256:47ee9cdfbcd31b4b3542c642d85eeff6af5feb0b82d0050e0b5822edc30e001c

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

source=arxiv_source observed=2026-08-10T22:50:28.244308Z digest=sha256:ddff0bdd5a816e266a5f078533926a0e930cf1c5715b19a50c3030d73585a687

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

source=arxiv_source observed=2026-08-10T22:50:28.247515Z digest=sha256:b36b9f399589ef92702308ceaca93767f6a069fea1baf188bcb4b84ad84a5217

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

source=arxiv_source observed=2026-08-10T22:50:28.250805Z digest=sha256:e878b83501a5c4c9d92c983d88967ed8636ad07beaa9be8bfc91cd63ee5817fe

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:df2204446761b58950976c29db9fbf4522aeb7553cf668b9f201b5984a24652c

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

source=arxiv_source observed=2026-08-10T22:50:28.257471Z digest=sha256:5668d859d7960bcb1524dfabd5c023cd129be7bb885e5be1fb2afad995046c31

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

source=arxiv_source observed=2026-08-10T22:50:28.260693Z digest=sha256:06e3e407a143c6cc3bd669b4975fe8804a9cc624bab4a86317dfac92ea50c9f7

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

source=arxiv_source observed=2026-08-10T22:50:28.264248Z digest=sha256:f7ce6b85d6b67aea595f0a74eb3398d213ea7a5980139ab92d28d2aa84575c3d

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

source=arxiv_source observed=2026-08-10T22:50:28.267521Z digest=sha256:e72cf572ee68330a639a2f8d0fb97c9d06ce959666232e4f5b18f0ff8174336f

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

source=arxiv_source observed=2026-08-10T22:50:28.270702Z digest=sha256:55321ee900942233a643ef6b24dfa50f15f2d90c8fdd54bd1bfa0a5cf25c3817

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

source=arxiv_source observed=2026-08-10T22:50:28.273995Z digest=sha256:e0f3a5dc33a3a46aa48d546b2ec66b99a1977ffb3a06bd60ce9fd98e01f35c3a

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

source=arxiv_source observed=2026-08-10T22:50:28.277032Z digest=sha256:5acab3edcc77457fa52ec731e3e04acc66ae3ee3e3d055ba8d44f08b852a6df8

Pith citing papers

No inbound Pith citation observations are available.