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Paper Citation Record · LEDGER

A homological approach to chromatic complexity of algebraic K-theory

As of 16 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:1908.09164.

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

pith.paper-citation-record.v1
1908.09164 v3

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:29:19.754577Z

measured 46 of 46 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

46 of 46 outbound references displayed

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External citation measurements

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Outbound references

Observation 312d6ea9-aec8-4b79-8a2a-639d6cf043b7 · outbound

This paper cites Stable homotopy and generalised homology.

A homological approach to chromatic complexity of algebraic K-theory Stable homotopy and generalised homology

Reference 1

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Observation 4a6862a1-46d1-4d5a-8360-2eb3f0123f66 · outbound

This paper cites Blumberg, and David Gepner.

A homological approach to chromatic complexity of algebraic K-theory Blumberg, and David Gepner

Reference 2

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Observation 11fccf93-7221-410d-99aa-119394cb25d3 · outbound

This paper cites Blumberg, David Gepner, Michael J.

A homological approach to chromatic complexity of algebraic K-theory Blumberg, David Gepner, Michael J

Reference 3

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Observation f9138dd5-97d1-4d10-ab48-92d423b8dec2 · outbound

This paper cites Detecting $\beta$ elements in iterated algebraic K-theory.

A homological approach to chromatic complexity of algebraic K-theory Detecting $\beta$ elements in iterated algebraic K-theory

Reference 4

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Observation 1c6f3167-d55c-4270-acbc-b5ff817eeab2 · outbound

This paper cites Commuting unbounded homotopy limits with Morava K-theory.

A homological approach to chromatic complexity of algebraic K-theory Commuting unbounded homotopy limits with Morava K-theory

Reference 5

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Observation 63b32a85-bcff-43ef-9207-9989c6499c2a · outbound

This paper cites Topological Hochschild homology a nd cohomology of A∞ ring spectra.

A homological approach to chromatic complexity of algebraic K-theory Topological Hochschild homology a nd cohomology of A∞ ring spectra

Reference 6

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Observation 98d9fd53-c90e-4596-adee-e8901daf183f · outbound

This paper cites Hopf algebra struct ure on topological Hochschild homology.

A homological approach to chromatic complexity of algebraic K-theory Hopf algebra struct ure on topological Hochschild homology

Reference 7

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Observation 8d9e552b-f7e5-4b2e-97e7-2606211b5619 · outbound

This paper cites On the algebraic K-theory of the complex K-theory spectrum.

A homological approach to chromatic complexity of algebraic K-theory On the algebraic K-theory of the complex K-theory spectrum

Reference 8

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Observation 0786dc9a-fae1-4844-babc-d03e1427e024 · outbound

This paper cites Algebraic K-theory of topological K-theory.

A homological approach to chromatic complexity of algebraic K-theory Algebraic K-theory of topological K-theory

Reference 9

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Observation 3d349d16-f3e7-4a44-a8a7-8d3ad3bbbfba · outbound

This paper cites The chromatic red-sh ift in algebraic K-theory.

A homological approach to chromatic complexity of algebraic K-theory The chromatic red-sh ift in algebraic K-theory

Reference 10

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Observation 0743627c-01ec-4165-b596-9b4a43399353 · outbound

This paper cites Topological Hochschild homology of Thom spectra and the free loop space.

A homological approach to chromatic complexity of algebraic K-theory Topological Hochschild homology of Thom spectra and the free loop space

Reference 11

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Observation 6d68d966-5b1a-4598-8c56-f0747fb8291a · outbound

This paper cites Topological Hochschild homology of Z and Z/p.

A homological approach to chromatic complexity of algebraic K-theory Topological Hochschild homology of Z and Z/p

Reference 12

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Observation 8a47724e-5626-45e0-82cc-2c78b4bfe074 · outbound

This paper cites Hoo ring spectra and their applications , volume 1176.

A homological approach to chromatic complexity of algebraic K-theory Hoo ring spectra and their applications , volume 1176

Reference 13

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Observation ba222fe3-ea44-42c2-8907-52c9a4914a12 · outbound

This paper cites Differentials in the hom ological homotopy fixed point spectral sequence.

A homological approach to chromatic complexity of algebraic K-theory Differentials in the hom ological homotopy fixed point spectral sequence

Reference 14

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Observation 182a203b-f2ec-4345-ae63-ee528604f955 · outbound

This paper cites Descent in algebraic $K$-theory and a conjecture of Ausoni-Rognes.

A homological approach to chromatic complexity of algebraic K-theory Descent in algebraic $K$-theory and a conjecture of Ausoni-Rognes

Reference 15

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Observation 6e04ecbd-77a1-4c47-8932-d4db37c69c00 · outbound

This paper cites The local structure of algebraic K-theory , volume 18.

A homological approach to chromatic complexity of algebraic K-theory The local structure of algebraic K-theory , volume 18

Reference 16

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Observation 4734ad34-b460-40f6-bc1e-98f61b538c81 · outbound

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A homological approach to chromatic complexity of algebraic K-theory Unresolved cited work

Reference 17

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Observation 28e82c3f-0a9d-4810-ae89-14113459b93a · outbound

This paper cites Equivariant stable homotopy theory , volume 1213.

A homological approach to chromatic complexity of algebraic K-theory Equivariant stable homotopy theory , volume 1213

Reference 18

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Observation a36658a9-35b3-482c-9204-f90452a9fcc0 · outbound

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A homological approach to chromatic complexity of algebraic K-theory Unresolved cited work

Reference 19

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Observation 20eb8870-4221-46aa-a7b4-16458982cf49 · outbound

This paper cites Generalized Tate cohomology , volume 543.

A homological approach to chromatic complexity of algebraic K-theory Generalized Tate cohomology , volume 543

Reference 20

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Observation 08fc4c1b-656d-4c2b-8315-37b6bec111a1 · outbound

This paper cites The norm residue theorem in motivic cohomology , volume 375.

A homological approach to chromatic complexity of algebraic K-theory The norm residue theorem in motivic cohomology , volume 375

Reference 21

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Observation 76e3d6e1-a87e-4cb2-9941-697a3b5efc40 · outbound

This paper cites On the K-theory of finite a lgebras over Witt vectors of perfect fields.

A homological approach to chromatic complexity of algebraic K-theory On the K-theory of finite a lgebras over Witt vectors of perfect fields

Reference 22

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Observation b752d228-a041-4820-a92a-fb5376dad868 · outbound

This paper cites Spectra and stable homotopy theory; n otes by Akhil Mathew, 2012.

A homological approach to chromatic complexity of algebraic K-theory Spectra and stable homotopy theory; n otes by Akhil Mathew, 2012

Reference 23

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Observation 5dc5aca4-af75-4e92-90db-f6b3dee7440e · outbound

This paper cites Hopkins and Jeffrey H.

A homological approach to chromatic complexity of algebraic K-theory Hopkins and Jeffrey H

Reference 24

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Observation ac01c819-303f-44e5-9ef2-b5c9e2f92992 · outbound

This paper cites Purity in chromatically localized algebraic $K$-theory.

A homological approach to chromatic complexity of algebraic K-theory Purity in chromatically localized algebraic $K$-theory

Reference 25

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Observation 798d8a6f-c28c-4195-9c1c-3276433b2d0d · outbound

This paper cites Classical.

A homological approach to chromatic complexity of algebraic K-theory Classical

Reference 26

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Observation a74d8dda-c116-4ef2-97f3-074ac8808e19 · outbound

This paper cites Calculation of Lin’s Ext groups.

A homological approach to chromatic complexity of algebraic K-theory Calculation of Lin’s Ext groups

Reference 27

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Observation 76c62ee1-2d6c-40d4-87f5-1fb8edc14924 · outbound

This paper cites The topological Singer construction.

A homological approach to chromatic complexity of algebraic K-theory The topological Singer construction

Reference 28

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Observation f131e336-6593-4dfc-9d35-f6d8e696e7a7 · outbound

This paper cites Ring spectra which are Thom complexes.

A homological approach to chromatic complexity of algebraic K-theory Ring spectra which are Thom complexes

Reference 29

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Observation 0ee61b4e-29a8-4997-bb17-fef830d412d9 · outbound

This paper cites The tri ple loop space approach to the telescope conjecture.

A homological approach to chromatic complexity of algebraic K-theory The tri ple loop space approach to the telescope conjecture

Reference 30

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Observation b1f90bc4-16a8-4ec2-a056-875f08fb2e25 · outbound

This paper cites Brown-Comenetz dualit y and the Adams spectral sequence.

A homological approach to chromatic complexity of algebraic K-theory Brown-Comenetz dualit y and the Adams spectral sequence

Reference 31

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Observation adf3dd22-e5c3-4bca-9921-9ea3d98119a5 · outbound

This paper cites Spectra and the Steenrod Algebra: Modules over the Steenrod algebra and the stable homotopy category.

A homological approach to chromatic complexity of algebraic K-theory Spectra and the Steenrod Algebra: Modules over the Steenrod algebra and the stable homotopy category

Reference 32

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Observation 7caabecf-19d7-467c-9802-a25a8099151a · outbound

This paper cites Peter May.

A homological approach to chromatic complexity of algebraic K-theory Peter May

Reference 33

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Observation 1eaf714e-3aaa-4fa1-8a8c-97f39ac8ef97 · outbound

This paper cites On the topological Hoch schild homology of bu, I.

A homological approach to chromatic complexity of algebraic K-theory On the topological Hoch schild homology of bu, I

Reference 34

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Observation c88e0d55-650d-4bb0-92cd-9aa21421e977 · outbound

This paper cites On relations between Adams spectral se quences, with an application to the stable homotopy of a Moore space.

A homological approach to chromatic complexity of algebraic K-theory On relations between Adams spectral se quences, with an application to the stable homotopy of a Moore space

Reference 35

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Observation 17159924-bad6-47d3-b489-83adcaab6bff · outbound

This paper cites Mitchell.

A homological approach to chromatic complexity of algebraic K-theory Mitchell

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:20.037330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:29:19.707981Z digest=sha256:dcfcf8c6d53808c65d938cbc40fe3aa7d76a8daac319fb5ee507508b9fc3bcdb

Observation 441443cf-cf3d-4723-9b5c-99e726316529 · outbound

This paper cites On topological cycl ic homology.

A homological approach to chromatic complexity of algebraic K-theory On topological cycl ic homology

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:20.021234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:29:19.712194Z digest=sha256:a27aab5c2973c090c0dcb6b76ffa8c9a48b605c554933c9aaf78238e6beb7d40

Observation 5105b594-aa01-4538-aeed-e64716f54459 · outbound

This paper cites On the cohomology and K-theory of the ge neral linear groups over a finite field.

A homological approach to chromatic complexity of algebraic K-theory On the cohomology and K-theory of the ge neral linear groups over a finite field

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:20.004972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:29:19.716449Z digest=sha256:95c94135e98c59920c005746a45b11236cc912c5170ef9e5facbcefefc789075

Observation 697efc72-4462-47b2-b255-d64a5030fbb1 · outbound

This paper cites Higher algebraic K-theory.

A homological approach to chromatic complexity of algebraic K-theory Higher algebraic K-theory

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:19.990905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:29:19.721144Z digest=sha256:2662efffe9dbc43442e5d6900da1bfc5c49362ae214a5e1005e0c0be802d1b13

Observation 7b4cfed7-4250-42b3-a72d-dd28d8a2bd64 · outbound

This paper cites Topological cyclic homology of the intege rs at two.

A homological approach to chromatic complexity of algebraic K-theory Topological cyclic homology of the intege rs at two

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:19.976551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:29:19.726077Z digest=sha256:500ad268c2eb29131ef0ce3ac9a97868be767ab7fcde08aa12eb7f1cf1ccd832

Observation c5d99cc6-d66c-4b47-9a45-37f94c76f435 · outbound

This paper cites Algebraic k-theory of finitely presented r ing spectra.

A homological approach to chromatic complexity of algebraic K-theory Algebraic k-theory of finitely presented r ing spectra

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:19.961052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:29:19.730623Z digest=sha256:df14ca0232032b01c466ad6200d6acaa4521b572e4a11bc00efd733ba6bdc453

Observation b4ff14ed-6786-405f-9127-66f0889c721f · outbound

This paper cites Introduction to redshift, September 2011.

A homological approach to chromatic complexity of algebraic K-theory Introduction to redshift, September 2011

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:19.946094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:29:19.735317Z digest=sha256:50ad41cb1c3c29c4e8502f736d1a233cf6fbc7430ab6fa8b06857584a2004aa8

Observation 1845f568-2464-4496-9229-168010fdb447 · outbound

This paper cites The Brown-Peterson spectrum is not $\mathbb{E}_{2(p^2+2)}$ at odd primes.

A homological approach to chromatic complexity of algebraic K-theory The Brown-Peterson spectrum is not $\mathbb{E}_{2(p^2+2)}$ at odd primes

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:29:19.799957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:29:19.739730Z digest=sha256:252c0d9e6849d536a9bf796d4d6f4bd4f9404539550a9efef6030199d61e5d4e

Observation d3357689-975d-4e37-ba9c-ccc5353dcd18 · outbound

This paper cites C ohomology operations.

A homological approach to chromatic complexity of algebraic K-theory C ohomology operations

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:19.929825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:29:19.745046Z digest=sha256:44404ff93da186b652afa0fabc1ee68a193194a6a409d781cc951b355089bd37

Observation 290ef7dc-e81c-463b-82d6-dff5954a961c · outbound

This paper cites Algebraic K-theory of topological spaces.

A homological approach to chromatic complexity of algebraic K-theory Algebraic K-theory of topological spaces

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:19.912942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:29:19.749735Z digest=sha256:cc7843c4e0d5fab27058c88c890ee657f937c4f40ec77741c568f697d6bda545

Observation ad8b3355-f661-436f-b6f2-4ba10d0684f4 · outbound

This paper cites Algebraic K-theory of spaces, localization, and the chromatic filtrati on of stable homo- topy.

A homological approach to chromatic complexity of algebraic K-theory Algebraic K-theory of spaces, localization, and the chromatic filtrati on of stable homo- topy

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:19.896725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:29:19.754577Z digest=sha256:bd60618aaf23cac444f73d1ca233da4c396611784b74694b6a86083309fa8100

Pith citing papers

No inbound Pith citation observations are available.