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Paper Citation Record · LEDGER

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

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.193237Z digest=sha256:fda6b0f616ff63730f12fa442a4c943fb2ba79adec863c93fcd4617ec8885565

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.197119Z digest=sha256:e782cdffecf7dda7ad84f5398dbe2c25f611273e58fe964d4a9ae5fc4376fc1e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.200674Z digest=sha256:dced0556b460dea6db50dfcd54320948b46f448d4bc6cf3af1236e1333000f01

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.204300Z digest=sha256:da9ab653a60fffb324a163c1109d495d7d903de5dd7d859dcce4119c5848db7a

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.209015Z digest=sha256:d88db735edbe503f06422ee2d1d6b4c812f7b4fcb1076ab436453a8851456555

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.212439Z digest=sha256:26e2a61d73e52826e436fd0b612ef96b0a1e611409aaa18df6ec792b0ed0c840

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.216176Z digest=sha256:fb16ab9d5364c0b6daec1a14ccbf84099be137c8d81915b848b6ebb646f5e586

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.219723Z digest=sha256:744e4c7fefb4c2fcf574b607f3583b455cda6e9b5a81908083f50babcf7dc7a1

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.223231Z digest=sha256:f88707b726e72cb961d3a286c4cd167f10ce780119e4ba475d3e5b80bb3b5854

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.230481Z digest=sha256:fe52076aa78fc73c8501b4b32462fa800af29756250078226a08c5cfb1b2e930

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.237870Z digest=sha256:cdc924071a2489b75c4b04c01c70ae1248df355767f6b28a1f984fc4191c6272

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.241082Z digest=sha256:376689bc3088c3dbe40906c281400b4e58c47523bdac4f8cbd871349a6f81d39

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.244308Z digest=sha256:40cb4a12e1a24d1f2252d7c2791c5ece2e609da8f177b01a4046b454836cec70

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.247515Z digest=sha256:f1a4fb9a90edf7f7a29624629bbd3c59be64dc97ffc3d66ff3509ffd523f89ab

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.250805Z digest=sha256:b056f2d5bf41f869866d380632bc2fc41a3f318264431a2ee3c6bca00c966016

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.257471Z digest=sha256:36423904326eb834cc49894a6e6134b619d8bf2cf0457a8cd61e75a0127563ef

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.260693Z digest=sha256:c01ce5088e1fe9f22cf7c9a57b70a9b8260d1cc07e42c3c7bd16c7c6af1a139e

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.264248Z digest=sha256:0c9b554053e459f6084b20f9cce2f49f79bd15cb84b6b9c6739619174073a923

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.267521Z digest=sha256:34af8657c52c777f0900e1ae82e902402174ae722bf199989c54da20a3ec29b0

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.270702Z digest=sha256:bf1d0c80c0839498e17612233b105355e7126a289aac70f72f238bbb49f9efd6

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.273995Z digest=sha256:fa4eab5ebd8de16af9cc515715113a3ec38a4b4327eb859f9498e8da8724a979

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T22:50:28.277032Z digest=sha256:f95e5b5b81ce998c0295c6fd466f2295d805207bc3754f9b8fd645c29517deae

Pith citing papers

No inbound Pith citation observations are available.