Paper Citation Record · LEDGER

On higher real $K$-theories and finite spectra

As of 9 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2507.07051.

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

pith.paper-citation-record.v1
2507.07051 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:02:36.239300Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-25T19:09:29.988797Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T21:00:09.950423Z

Reference resolution

43 of 43 outbound references displayed

verified exact6
verified fuzzy21
unresolved12
parse uncertain0
malformed identifier3
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a40e0f33-9cef-4d18-8f90-946ba829b9e1 · outbound

This paper cites A periodicity theorem in homological algebra.

On higher real $K$-theories and finite spectra A periodicity theorem in homological algebra

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.600448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bf0fab80-80ec-4888-9df7-3aa2bba3b066 · outbound

This paper cites On the groups J(X). IV.

On higher real $K$-theories and finite spectra On the groups J(X). IV

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.593679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7ca3f4bc-50ce-41e9-8285-50aa3902f1b5 · outbound

This paper cites K-theory and reality.

On higher real $K$-theories and finite spectra K-theory and reality

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.586466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1095a6be-0844-45a0-96ba-00a75528504f · outbound

This paper cites The spectrum of the equivariant stable homotopy category of a finite group.

On higher real $K$-theories and finite spectra The spectrum of the equivariant stable homotopy category of a finite group

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:36.147225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d418e468-5a43-4d29-a946-4354b96d777d · outbound

This paper cites The Balmer spectrum of the equivariant homotopy category of a finite abelian group.

On higher real $K$-theories and finite spectra The Balmer spectrum of the equivariant homotopy category of a finite abelian group

Reference 5

Resolution: malformed identifier; no resolver link, observed 2026-08-06T19:02:36.150233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a99f2e2f-9823-4430-94cd-e0758e1c6855 · outbound

This paper cites Models of Lubin-Tate spectra via real bordism theory.

On higher real $K$-theories and finite spectra Models of Lubin-Tate spectra via real bordism theory

Reference 6

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T19:02:36.434619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 96e85c42-b3aa-437b-b360-2c64a9a57646 · outbound

This paper cites On the existence of av32 2 -self map on M (1, 4) at the prime 2.

On higher real $K$-theories and finite spectra On the existence of av32 2 -self map on M (1, 4) at the prime 2

Reference 7

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T19:02:36.573077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cacd7de2-dbcc-44d0-9d82-ef9b08be1ff2 · outbound

This paper cites The 2-primary Hurewicz image of tmf.

On higher real $K$-theories and finite spectra The 2-primary Hurewicz image of tmf

Reference 8

Resolution: verified exact; doi, observed 2026-08-06T19:02:36.315125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a12ec1b2-426a-4951-99a4-076ad2f8b0e1 · outbound

This paper cites On the existence of the self mapυ9 2 on the Smith-Toda complex V (1) at the prime 3.

On higher real $K$-theories and finite spectra On the existence of the self mapυ9 2 on the Smith-Toda complex V (1) at the prime 3

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.565242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 27d38a40-86b3-4442-9ffd-a1c0b110fdac · outbound

This paper cites A class of2-local finite spectra which admit av1 2-self-map.

On higher real $K$-theories and finite spectra A class of2-local finite spectra which admit av1 2-self-map

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.557742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 61035b1b-4cb0-4349-a9f1-2287e563a177 · outbound

This paper cites Multiplicative structures on Moore spectra.

On higher real $K$-theories and finite spectra Multiplicative structures on Moore spectra

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:36.165764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10712314-67a8-4e63-9694-10c0e6d4b0d4 · outbound

This paper cites Burklund and I.

On higher real $K$-theories and finite spectra Burklund and I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.550345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9ab578a0-1114-4f5a-8587-7f67b62aa918 · outbound

This paper cites Cofreeness in real bordism theory and the Segal conjecture.

On higher real $K$-theories and finite spectra Cofreeness in real bordism theory and the Segal conjecture

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.542949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7c5e6d44-f291-4b60-9f4f-6e9d4b6ab16e · outbound

This paper cites On M U-homology of connective models of higher real K- theories.

On higher real $K$-theories and finite spectra On M U-homology of connective models of higher real K- theories

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.535772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3ffd84b2-37c5-4712-9929-c2917a1a8d6f · outbound

This paper cites The homological slice spectral sequence in motivic and Real bordism.

On higher real $K$-theories and finite spectra The homological slice spectral sequence in motivic and Real bordism

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.528272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c3624efd-cc0c-48e1-a0ed-93c7269144ea · outbound

This paper cites The action of the Morava stabilizer group on the Lubin- Tate moduli space of lifts.

On higher real $K$-theories and finite spectra The action of the Morava stabilizer group on the Lubin- Tate moduli space of lifts

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:36.178266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 598db514-f582-404f-b77d-bf8b23962f09 · outbound

This paper cites Nilpotence and Stable Homotopy Theory I.

On higher real $K$-theories and finite spectra Nilpotence and Stable Homotopy Theory I

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.520856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a987ba7e-fdd9-4dbb-a037-39fc5ae29eba · outbound

This paper cites Cobordism theory with reality.

On higher real $K$-theories and finite spectra Cobordism theory with reality

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.513939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a680d137-c8fe-4575-bffa-172361e22251 · outbound

This paper cites A resolution of the K(2)-local sphere at the prime 3.

On higher real $K$-theories and finite spectra A resolution of the K(2)-local sphere at the prime 3

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:36.185940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 261425f7-a651-44bc-a4a9-b7af8d1134e9 · outbound

This paper cites Gorenstein duality for real spectra.

On higher real $K$-theories and finite spectra Gorenstein duality for real spectra

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.507053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1e831135-6a05-4161-88b2-acd6a5383e18 · outbound

This paper cites RedshiftandmultiplicationfortruncatedBrown–Petersonspectra.

On higher real $K$-theories and finite spectra RedshiftandmultiplicationfortruncatedBrown–Petersonspectra

Reference 21

Resolution: verified exact; doi, observed 2026-08-06T19:02:36.298753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7fa5aed6-0383-4842-975f-97ce06c9b49a · outbound

This paper cites Finite Subgroups of Division Algebras over Local Fields.

On higher real $K$-theories and finite spectra Finite Subgroups of Division Algebras over Local Fields

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:36.194324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a77aae7a-7ae3-420e-8cf7-3d37fc08d203 · outbound

This paper cites On the non-existence of elements of Kervaire invariant one.

On higher real $K$-theories and finite spectra On the non-existence of elements of Kervaire invariant one

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.500417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6b92e153-5a61-4846-b8c8-1e6d0fdfcaa0 · outbound

This paper cites an unresolved cited work.

On higher real $K$-theories and finite spectra Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:36.199301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 381fced0-86eb-44a7-8c05-cc0b40487537 · outbound

This paper cites The slice spectral sequence for theC4 analog of real K-theory.

On higher real $K$-theories and finite spectra The slice spectral sequence for theC4 analog of real K-theory

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.493735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1f1439f5-8688-4d00-b1bb-3acb72101e6d · outbound

This paper cites The C2-spectrum Tmf 1(3) and its invertible modules.

On higher real $K$-theories and finite spectra The C2-spectrum Tmf 1(3) and its invertible modules

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:36.203840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d9b4d9e-04a2-47ab-98fd-fb6aaf2d7416 · outbound

This paper cites The slice spectral sequence of aC4-equivariant height-4 Lubin-Tate theory.

On higher real $K$-theories and finite spectra The slice spectral sequence of aC4-equivariant height-4 Lubin-Tate theory

Reference 27

Resolution: verified exact; doi, observed 2026-08-06T19:02:36.279550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1a9a330e-8b2b-4da2-990a-603e3350b88e · outbound

This paper cites Nilpotence and stable homotopy theory. II.

On higher real $K$-theories and finite spectra Nilpotence and stable homotopy theory. II

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.487425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8f2436ae-5001-4889-9c7d-1506cd3a6378 · outbound

This paper cites Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence.

On higher real $K$-theories and finite spectra Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:36.210674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ff2dd1c-2c68-4cfa-b8bc-af9121f2213a · outbound

This paper cites Stable homotopy groups of spheres.

On higher real $K$-theories and finite spectra Stable homotopy groups of spheres

Reference 30

Resolution: verified exact; doi, observed 2026-08-06T19:02:36.270442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 88bffd05-8996-4357-a512-217cdee30acd · outbound

This paper cites Conjugations on complex manifolds and equivariant homotopy ofM U.

On higher real $K$-theories and finite spectra Conjugations on complex manifolds and equivariant homotopy ofM U

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.477094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation da9c9424-282f-4513-bec5-f70354e35bb8 · outbound

This paper cites The monochromatic Hahn-Wilson conjecture.

On higher real $K$-theories and finite spectra The monochromatic Hahn-Wilson conjecture

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:36.217330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82380bdd-6852-46a6-b5b8-44a5e6b729bd · outbound

This paper cites The algebraic K-theory of the K(1)-local sphere via TC.

On higher real $K$-theories and finite spectra The algebraic K-theory of the K(1)-local sphere via TC

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:02:36.347245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c12d94f1-ad11-4a09-bf1f-6034251607e1 · outbound

This paper cites The Image of J in the EHP Sequence.

On higher real $K$-theories and finite spectra The Image of J in the EHP Sequence

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.470328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 588be212-6a30-4be7-899d-79bc95d09561 · outbound

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

On higher real $K$-theories and finite spectra Brown-Comenetz duality and the Adams spectral sequence

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.463481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 94931863-0843-4860-b5fe-7f00a14a19b2 · outbound

This paper cites Transchromatic phenomena in the equivariant slice spectral sequence.

On higher real $K$-theories and finite spectra Transchromatic phenomena in the equivariant slice spectral sequence

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:02:36.337070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 48fc3ff9-7609-440d-8574-6e0dd9496f38 · outbound

This paper cites Periodic phenomena in the Adams-Novikov spectral sequence.

On higher real $K$-theories and finite spectra Periodic phenomena in the Adams-Novikov spectral sequence

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.456831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 74bb929d-d0de-42bc-8a5e-8427a19928cb · outbound

This paper cites Nardin and J.

On higher real $K$-theories and finite spectra Nardin and J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.449521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2f4e28bd-f4b4-4498-9645-8c90bbee260f · outbound

This paper cites The Smith-Toda complex V ((p + 1)/2) does not exist.

On higher real $K$-theories and finite spectra The Smith-Toda complex V ((p + 1)/2) does not exist

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:02:36.442169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c1c6c651-9650-4a83-9705-d3ed1447cdba · outbound

This paper cites On the formal group laws of unoriented and complex cobordism theory.

On higher real $K$-theories and finite spectra On the formal group laws of unoriented and complex cobordism theory

Reference 40

Resolution: malformed identifier; no resolver link, observed 2026-08-06T19:02:36.236863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e2031bc-b7c1-4ed7-adee-4ab760d06087 · outbound

This paper cites Notes on the Hopkins-Miller theorem.

On higher real $K$-theories and finite spectra Notes on the Hopkins-Miller theorem

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:36.239300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2ff1176-1a11-48fe-880c-4311c8b96716 · outbound

This paper cites an unresolved cited work.

On higher real $K$-theories and finite spectra Unresolved cited work

Reference 386

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:02:36.579817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 625dff62-f5ba-4e89-8b8f-6e30a15b392e · outbound

This paper cites an unresolved cited work.

On higher real $K$-theories and finite spectra Unresolved cited work

Reference 9383

Resolution: unresolved; no resolver link, observed 2026-08-06T19:02:36.139378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 962a98c5-28a7-40cd-8440-33a2be692de2 · inbound

Structured Quotients in Real Homotopy Theory cites this paper.

Structured Quotients in Real Homotopy Theory On higher real $K$-theories and finite spectra

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-07-04T21:00:09.951937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.