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Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.316289Z digest=sha256:b3488ee97b6a431f74b0d5e9cc53f0f01cc26af6689a3ec25ce261c31a2afe71

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.320348Z digest=sha256:d226b3ee6668ed1b4f278ea3eedd2c70cf7d356d27425240dd03318ecb2b6e36

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.323620Z digest=sha256:8c27bf092b2b5ef814ccdeb751e2b9ff085bb54d10c945230f6de747f6fd1cae

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.327013Z digest=sha256:744687384414835d540f6c4abb0834e1b6d87c3fe7591511cfe98d9949632451

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.330431Z digest=sha256:dd856b69120a75674a22c1e3f54dbc82a0a9abe94ad118b81c576d0cda4d76b5

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.337876Z digest=sha256:a3019b00ddb14928e111b26aabb7b66438cff4656c87a80bd89deb3589a26507

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.340874Z digest=sha256:d86e5a42f0248ff016666dd95c9069b57b9682a6c902cbb6f4746e2281e582f0

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.343953Z digest=sha256:9c359d4248b50f3e845c508d239f9060ff7ccff56b73ea7c9186fec20a94a15f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.346881Z digest=sha256:0dbba6910319ab21627fb851be3de27b7df2b451b2a5a9f2ae352210d5d8817e

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.349751Z digest=sha256:df3e829d2ff725e4580ad2ae945a3d921336aed468f5c1fed62c872ec8a51f2b

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.352654Z digest=sha256:383afad400ec57761f7f3341d0b7b4425728ba33f85599006d6cfa9ea14f61d3

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.355886Z digest=sha256:6d748e846c268dbcbb01710f824677bae1dce6b7c034f36bea9bfd483520f558

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.358792Z digest=sha256:9bfbb22af72e4f74a1ec7f480f3373cdbfbb5b174809ea8e6ada4b0299909237

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.361843Z digest=sha256:ffe1d47f551bcd410b96b373a5e4b972837f74104dfc363bb66ca6c7e1ef8a64

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-16T11:16:41.364736Z digest=sha256:7e45e02bdf50628c7f419c73f04269a4907c191a395889acf67bdc0b2640bf5c

Pith citing papers

No inbound Pith citation observations are available.