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Paper Citation Record · LEDGER

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra

As of 19 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2504.16220.

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

pith.paper-citation-record.v1
2504.16220 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:16:41.364736Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 93e3d99f-47f3-4041-b86f-163b30cfea2b · outbound

This paper cites an unresolved cited work.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:16:41.563515Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.316289Z digest=sha256:7c537a502890fcc690ef37b36efe4663d9fc9b9747239797ef65993e0df32ff3

Observation c7f978f2-d382-447f-bed1-41108c2d7fce · outbound

This paper cites an unresolved cited work.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:16:41.553231Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.320348Z digest=sha256:777ff26ff50a96635c67c657702a55da7128998abe2f0579e12ab8768570e4f3

Observation 018c5457-4aaf-4960-8e7a-b45afc6f81df · outbound

This paper cites Andrews, New families in the homotopy of the motivic sphere spectrum, Proc.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Andrews, New families in the homotopy of the motivic sphere spectrum, Proc

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:16:41.544067Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.323620Z digest=sha256:8cebf8a493342a6f36349f552f53a220c53b9505a0f337071d65bc0b7d60a70b

Observation d5fbc6a3-7827-4967-85fe-7519ce1b21bc · outbound

This paper cites Francis Baer, The algebraic novikov spectral sequence for topological modular forms, 2024.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Francis Baer, The algebraic novikov spectral sequence for topological modular forms, 2024

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:16:41.534207Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.327013Z digest=sha256:fab24fe8f7ef79c5ce7b2ce76f95f6c60c99c92fd827c2ee18a35f7af5d24843

Observation b127eb45-2a2a-47db-bfdc-af1c3bc09e1d · outbound

This paper cites an unresolved cited work.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:16:41.522236Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.330431Z digest=sha256:8b88e0533a8eb51c2e99b8d8ddaf09b5bb701ba7121291dc0076798f6d92d5e6

Observation e57c295a-0428-4712-9262-639941cb6951 · outbound

This paper cites $\eta$-periodic motivic stable homotopy theory over fields.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra $\eta$-periodic motivic stable homotopy theory over fields

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-16T11:16:41.333750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:16:41.333750Z digest=sha256:4c6fadc16a5b52d05bec6e15ccc6b82e4de7590b3e3095f140ac1a51336cfcdf

Observation 419e06c6-2c50-45a8-a473-ff57e915cd7a · outbound

This paper cites an unresolved cited work.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:16:41.510815Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.337876Z digest=sha256:399275e96cd0bbeaa1d145c061c1f991843692cb9e8ef16cc336b03eed3e4a00

Observation d58fcc77-e14b-4d6a-965b-2c0c600b8636 · outbound

This paper cites an unresolved cited work.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:16:41.498774Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.340874Z digest=sha256:61b5033172fc534bb33c396581fa700a1a3028754a1afecd3732cac49366112d

Observation 0571c75c-cc24-408e-bcea-aba9504a15b3 · outbound

This paper cites Isaksen, The motivic A dams spectral sequence , Geom.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Isaksen, The motivic A dams spectral sequence , Geom

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:16:41.487560Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.343953Z digest=sha256:ecbc286bb56e23b23340e579f8d63933e232a2ed982327f92b2755e2fe3addb9

Observation f2e1be61-adb3-4be3-845f-965d66a7ee65 · outbound

This paper cites Guillou and Daniel C.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Guillou and Daniel C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:16:41.475505Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.346881Z digest=sha256:948f81f6786da536fb1aa48fb042785b983254ca55b5e0249193745bb65f4264

Observation d040874f-bf10-44f3-aaff-8253ebb571fb · outbound

This paper cites Isaksen, Achim Krause, and Nicolas Ricka, C -motivic modular forms , J.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Isaksen, Achim Krause, and Nicolas Ricka, C -motivic modular forms , J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:16:41.463878Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.349751Z digest=sha256:eb0d9453172fb5de8d9f40862b89da0162d352d7bd833160c92e9498b991efd2

Observation 582e5fe7-fe24-47ba-9a30-0ee21624f165 · outbound

This paper cites an unresolved cited work.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:16:41.451797Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.352654Z digest=sha256:e964d1e61103dd433c5756dbd03081ba02a423f10cd17c672b0ade61aa34961d

Observation c4a2c9e7-c192-4797-a9b6-526113fc9b6f · outbound

This paper cites Isaksen, The cohomology of motivic A(2) , Homology Homotopy Appl.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Isaksen, The cohomology of motivic A(2) , Homology Homotopy Appl

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:16:41.439803Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.355886Z digest=sha256:cf89252938af75962aa223bcb981a079a3400be963ef1c62e971ee92b1044e46

Observation 55a70b5d-8d85-4e95-9f9a-ed81415ef7b4 · outbound

This paper cites Isaksen, Guozhen Wang, and Zhouli Xu, Stable homotopy groups of spheres: F rom dimension 0 to 90 , Publ.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Isaksen, Guozhen Wang, and Zhouli Xu, Stable homotopy groups of spheres: F rom dimension 0 to 90 , Publ

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:16:41.427967Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.358792Z digest=sha256:829835886b1dae8184381ea902fba891f804f7e0d567c598dca620c240cc71fd

Observation db1eece6-f56f-4439-832c-261f69eebd17 · outbound

This paper cites an unresolved cited work.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:16:41.416967Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.361843Z digest=sha256:e4729275bce779bcf8132378d1a3dcff69e877687b41560f67d24e96afeb4495

Observation 7d7bc623-7ab9-40b8-91db-53e10c3a7e09 · outbound

This paper cites 23 (2021), no.

A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra 23 (2021), no

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:16:41.406352Z

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.

source=arxiv_source observed=2026-08-16T11:16:41.364736Z digest=sha256:e6fb959d08da7d077a6baebe5ce525c641720074b0d85a4f568761d004677b07

Pith citing papers

No inbound Pith citation observations are available.