Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:53:14.346242Z
Paper Citation Record · LEDGER
On periodic families in the stable stems of height two
As of 20 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 2 inbound Pith citation observations for arXiv:2506.20507.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T00:22:01.520043Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
16 of 16 outbound references displayed
- verified exact9
- verified fuzzy3
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e65f8bac-8751-4b6e-91c6-51406861b596 · outbound
This paper cites Nonvanishing of products in $v_2$-periodic families at the prime $3$.
On periodic families in the stable stems of height two Nonvanishing of products in $v_2$-periodic families at the prime $3$
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:53:14.564296Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0ae3f2d1-0b75-4d29-b8c4-112c8c40e13a · outbound
This paper cites The descent spectral sequence for topological modular forms.
On periodic families in the stable stems of height two The descent spectral sequence for topological modular forms
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:53:14.450832Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f15551d2-7d49-4972-8e4f-51be588a5142 · outbound
This paper cites Descent spectral sequences through synthetic spectra.
On periodic families in the stable stems of height two Descent spectral sequences through synthetic spectra
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:53:14.435688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cb1012a0-e30a-4e3f-8321-7d98593d4f53 · outbound
This paper cites an unresolved cited work.
On periodic families in the stable stems of height two Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:53:14.689131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 76ff1430-99c0-474b-b81e-02e9165460b2 · outbound
This paper cites Isaksen, Guozhen Wang, and Zhouli Xu.
On periodic families in the stable stems of height two Isaksen, Guozhen Wang, and Zhouli Xu
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-06T22:53:14.378362Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0db750ed-4a6f-49c8-992d-57d878594b59 · outbound
This paper cites The homotopy groups of the spectrum Tmf.
On periodic families in the stable stems of height two The homotopy groups of the spectrum Tmf
Reference 1963
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:53:14.404642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0b24ace1-ab2a-4ff7-8637-4df7f105ca46 · outbound
This paper cites Computation of the homotopy of the spectrum tmf.
On periodic families in the stable stems of height two Computation of the homotopy of the spectrum tmf
Reference 1966
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:53:14.710082Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 54cfaa9c-81bd-430a-838f-ea1977f2e708 · outbound
This paper cites Higher algebra.
On periodic families in the stable stems of height two Higher algebra
Reference 2004
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:53:14.678927Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3ad5821b-861c-408e-b961-1b7346ac67bf · outbound
This paper cites New infinite families in the stable homotopy groups of spheres.
On periodic families in the stable stems of height two New infinite families in the stable homotopy groups of spheres
Reference 2008
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:53:14.293658Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f918f0ab-268f-44bb-944c-ba9e5480e9ff · outbound
This paper cites $RO(G)$-graded homotopy fixed point spectral sequence for height $2$ Morava $E$-theory.
On periodic families in the stable stems of height two $RO(G)$-graded homotopy fixed point spectral sequence for height $2$ Morava $E$-theory
Reference 2014
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:53:14.421021Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e76da22e-fa5e-457c-8b4c-ea8598656a43 · outbound
This paper cites New simple $\eta$-torsion families of elements in the stable stems.
On periodic families in the stable stems of height two New simple $\eta$-torsion families of elements in the stable stems
Reference 2016
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:53:14.647713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f03ef06c-2f5c-4549-8d22-fa18db62a4c1 · outbound
This paper cites On the Last Kervaire Invariant Problem.
On periodic families in the stable stems of height two On the Last Kervaire Invariant Problem
Reference 2017
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:53:14.346242Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06f119cc-49b6-4ff9-ad0b-4ae60cfbf757 · outbound
This paper cites $K$-theoretic counterexamples to Ravenel's telescope conjecture.
On periodic families in the stable stems of height two $K$-theoretic counterexamples to Ravenel's telescope conjecture
Reference 2020
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:53:14.297108Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55a057c2-f618-4312-9bc5-e95171f88adb · outbound
This paper cites On the Non-Existence of J-Homomorphisms of Higher Height.
On periodic families in the stable stems of height two On the Non-Existence of J-Homomorphisms of Higher Height
Reference 2023
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T22:53:14.631814Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5b8554ed-4088-40b2-aea4-33eca76b64c3 · outbound
This paper cites A synthetic approach to detectingv 1- periodic families.
On periodic families in the stable stems of height two A synthetic approach to detectingv 1- periodic families
Reference 2024
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T22:53:14.548930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7bbac970-cc12-48d5-af9f-9ec59f821255 · outbound
This paper cites Douglas, John Francis, André G.
On periodic families in the stable stems of height two Douglas, John Francis, André G
Reference 2025
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:53:14.699748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
Observation 377d0528-d8fb-4921-8871-4953df03ed58 · inbound
Revisiting the $\beta_1$-action on the $3$-primary stable homotopy groups of spheres cites this paper.
Revisiting the $\beta_1$-action on the $3$-primary stable homotopy groups of spheres On periodic families in the stable stems of height two
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T00:22:01.520043Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f5cb8a04-02e4-4cca-b754-a4572a21c686 · inbound
Periodic phenomena in stable motivic homotopy theory cites this paper.
Periodic phenomena in stable motivic homotopy theory On periodic families in the stable stems of height two
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:52:53.939635Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.