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Paper Citation Record · LEDGER

On periodic families in the stable stems of height two

As of 17 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.

pith.paper-citation-record.v1
2506.20507 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:53:14.346242Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

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

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T00:22:01.520043Z

measured 0 of 1 external citation measurements

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.307927Z digest=sha256:8dd6a502173a811aa609f7734c42099cb61b0aae4c300f1ef838835b800f1627

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.316568Z digest=sha256:17687287c05fc103c4ac8955abbe875c23231576373920ec78c518af6911b135

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.319960Z digest=sha256:854c4fe36197f6175e33f3dfba62e2d8f3c4f9e5699f0a3f1c686e53b6e1790f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.331393Z digest=sha256:6c7d03812e3ddfe7454ba1c435068f5b7bab5ee2dd9bb3bbea2818f6251842b4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.334429Z digest=sha256:2b893fed0efe99ebd13caffc806d6c17013a17dde5dd2d3517a94665e9b3a48d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.338181Z digest=sha256:8f2fc555be89620fc6573aa0d91fa8c4a04c2101c0bcc601c8c3913d3a317784

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.289883Z digest=sha256:b42f9b8d3a99c59ede36429b02ed8a685cc307c2fae59cdea874cf760d316716

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.342135Z digest=sha256:8114d4986138aebda309d0babdafa66fbac51537eb7a38a9624436a6a261f49f

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.

source=pdf_text observed=2026-08-06T22:53:14.293658Z digest=sha256:9d8a980d2701fa5b4406c48105d75c4ea540b04cc48a3a44850b2199f568c9d5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.327796Z digest=sha256:ff6b3f17595c297e2c9ea1b7fb9dfd918e9f665d626a9c01fd926997f3ec51f9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.300619Z digest=sha256:562279370b6b54ee071c907b94ab45d2d4eac6a12de73181aacb68f5e3efd8d6

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.

source=pdf_text observed=2026-08-06T22:53:14.346242Z digest=sha256:71299bd8db632628a0b7910011d65e171d0747a8b5d475baf403fee9806e864b

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.

source=pdf_text observed=2026-08-06T22:53:14.297108Z digest=sha256:49c6681b385890c0a25b05e6ed66e9af8b6cc1ee22d91d0b9e8eb1877751f87a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.304365Z digest=sha256:eb8b0dc1f67ccdeb26eee1180a83661055cbbc82847ae0b7293821d377022d17

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.312592Z digest=sha256:d6110710b0b0b44dba9db293229dffec70fdf1fbff03dd2f589887228786cf67

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T22:53:14.324077Z digest=sha256:9a2267764f15cd1cbb01682a88ae0e9f4a2bee610ce2b55b871148e96f2630c8

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.

source=pdf_text observed=2026-08-04T00:22:01.520043Z digest=sha256:ce983b4d724e7b6e77cea49292d06ad845370537c5d00aec01dc7c99f63a52b9

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.

source=pdf_text observed=2026-08-01T15:52:53.939635Z digest=sha256:5266bf796e07d263baee2cd05411531c0659a1b233935fbd4113a6839a982be3