Paper Citation Record · LEDGER

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$

As of 20 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2507.10157.

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

pith.paper-citation-record.v1
2507.10157 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:50:37.783693Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

19 of 19 outbound references displayed

verified exact1
verified fuzzy11
unresolved6
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation df3d46fa-6e82-4bfb-b148-786e89722fa8 · outbound

This paper cites Total power operations in spectral sequences.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Total power operations in spectral sequences

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:50:38.333463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation af17b6a6-35ff-4feb-9700-f2b789ae370a · outbound

This paper cites Localization at b_ 10 in the stable category of comodules over the Steenrod reduced powers.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Localization at b_ 10 in the stable category of comodules over the Steenrod reduced powers

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:50:38.310098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 72591c95-9a77-41f6-a24d-ae0f849a190a · outbound

This paper cites an unresolved cited work.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:50:38.290222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b92e419d-5679-459a-9d3b-2aab356b3c34 · outbound

This paper cites Hill, XiaoLin Danny Shi, and Mingcong Zeng.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Hill, XiaoLin Danny Shi, and Mingcong Zeng

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:50:38.263358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 474eb2a0-3ff6-4aff-9dfb-6c59aa1e4f88 · outbound

This paper cites The K ervaire invariant of framed manifolds and its generalization.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ The K ervaire invariant of framed manifolds and its generalization

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:50:38.233495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7988f841-4e3b-4265-9de8-75570ae2f334 · outbound

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

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ On the non-existence of elements of Kervaire invariant one

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:50:37.946258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 96ab1678-7ba1-4c99-8dd3-2357e2d1e6d2 · outbound

This paper cites Hill, Michael J.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Hill, Michael J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:50:38.209087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c4e36818-3dbd-41f8-a1ce-ef5126e4c488 · outbound

This paper cites an unresolved cited work.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T17:50:36.750005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96498b56-29f2-48e8-ba50-eac51ad8b21c · outbound

This paper cites Recent computational work on EO_n.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Recent computational work on EO_n

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:50:38.154109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d648f0d8-cc60-4388-acd6-6f10509cd54d · outbound

This paper cites Cohomology of completions.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Cohomology of completions

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:50:38.132598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0922f629-2fe9-49bf-9419-1fe1159ca450 · outbound

This paper cites On the Last Kervaire Invariant Problem.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ On the Last Kervaire Invariant Problem

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T17:50:37.178931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a91cd209-5fb1-481d-9de3-8cba3f99f580 · outbound

This paper cites Miller, Douglas C.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Miller, Douglas C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:50:38.114581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ffa2a8b2-1a42-44b0-9860-0e5062007962 · outbound

This paper cites an unresolved cited work.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:50:38.093755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b60cccbd-ff76-461c-b6d3-f54bd30431e6 · outbound

This paper cites an unresolved cited work.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:50:38.069016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c9526e0b-1c7e-403e-93bd-67e5df4588ab · outbound

This paper cites an unresolved cited work.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T17:50:37.567619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b7cfffa-8eab-41d4-9ed9-6b47ce99d79e · outbound

This paper cites Integral representations of cyclic groups of prime order.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Integral representations of cyclic groups of prime order

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:50:38.034460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 821fdd12-4403-4c9f-b494-9d922bb446ec · outbound

This paper cites Notes on the H opkins- M iller theorem.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Notes on the H opkins- M iller theorem

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:50:38.013971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e5aa7101-11e5-4a74-9f64-936223b96b7d · outbound

This paper cites an unresolved cited work.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Unresolved cited work

Reference 18

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T17:50:37.992414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f5e2faea-bee9-4116-a610-446553988a52 · outbound

This paper cites Duality for topological modular forms.

Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$ Duality for topological modular forms

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:50:37.969469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.