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Paper Citation Record · LEDGER

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces

As of 8 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2607.18670.

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

pith.paper-citation-record.v1
2607.18670 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:54:32.371595Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

27 of 27 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved24
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 548b8e1a-dafa-4e0d-ad16-11865f1eee95 · outbound

This paper cites Power operations for Morava E-theory of height 2 at the prime 2.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Power operations for Morava E-theory of height 2 at the prime 2

Reference 1

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no resolver link, observed 2026-08-01T14:54:28.496773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:28.496773Z digest=sha256:e653db072adddf44a6c0206ca79208b59ffaccce2fb32c19ed733f8e8b9676a4

Observation f4ab06ea-4d14-4929-8162-f102d963f441 · outbound

This paper cites The sigma orientation is an H-infinity map.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces The sigma orientation is an H-infinity map

Reference 2

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no resolver link, observed 2026-08-01T14:54:28.585568Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:28.585568Z digest=sha256:6795ac6cc34059270001a263cac7882be606f7d7b4ceb150b521095b71c96297

Observation 36b2cde2-4807-420d-b411-49bff56b3790 · outbound

This paper cites 2019 , publisher=.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces 2019 , publisher=

Reference 3

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no resolver link, observed 2026-08-01T14:54:28.808915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:28.808915Z digest=sha256:43b0bbe90c569941156446f182655b06f1deaf4e6cf035dd1672dbe7aaf673ef

Observation 5c1f28a6-920e-411a-9094-ec03c47a3f8c · outbound

This paper cites Mathematics of the USSR-Sbornik , volume=.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Mathematics of the USSR-Sbornik , volume=

Reference 4

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no resolver link, observed 2026-08-01T14:54:28.949396Z

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source=arxiv_source observed=2026-08-01T14:54:28.949396Z digest=sha256:8b9c469a3099020678f389b58f13077d618aaf8ea3176bd49dbcf1b389d9009e

Observation cb434be2-257e-4837-afdc-d1f6f72fcf8a · outbound

This paper cites For complex orientations preserving power operations, p -typicality is atypical , volume=.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces For complex orientations preserving power operations, p -typicality is atypical , volume=

Reference 5

Resolution
verified exact
doi, observed 2026-08-01T14:58:54.645285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-01T14:54:29.098247Z digest=sha256:d89fa10708f898a756e6b090b45dc11737593b35c08fbabf4ab0cdf7e5f13e6f

Observation 855631f1-82a8-44f5-a88c-77b6e6fb5d65 · outbound

This paper cites an unresolved cited work.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Unresolved cited work

Reference 6

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no resolver link, observed 2026-08-01T14:54:29.277404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:29.277404Z digest=sha256:4698a0943e5a31cc92520999f8c12d55bb63be249b07d0a6890f9e90116640ac

Observation a1ef100c-60cc-47aa-8f42-62f22be8a09b · outbound

This paper cites Elementary proofs of some results of cobordism theory using.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Elementary proofs of some results of cobordism theory using

Reference 7

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no resolver link, observed 2026-08-01T14:54:29.397846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:29.397846Z digest=sha256:47ef19e04e34cd747516ae4489749559175013e19038aaa91686c33c39423ce9

Observation d032ae6e-aa74-4e1e-bca3-70e76db292fc · outbound

This paper cites Morava E-theory of symmetric groups.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Morava E-theory of symmetric groups

Reference 8

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no resolver link, observed 2026-08-01T14:54:29.521590Z

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source=arxiv_source observed=2026-08-01T14:54:29.521590Z digest=sha256:b57de593bd0efa6144d5f90ef9bc2ed45fa29359c2b6b8d409dd27bc905cdfee

Observation a97b64aa-363f-4275-b753-35c48160fccd · outbound

This paper cites Journal of the American Mathematical Society , volume=.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Journal of the American Mathematical Society , volume=

Reference 9

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no resolver link, observed 2026-08-01T14:54:29.638051Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:29.638051Z digest=sha256:b04016612079f4eb46ab50f74957c94788d2c6d7c25fa9998e5a5d33fa27c4ff

Observation f474a376-30fa-4352-91cb-c3f1a0728b6b · outbound

This paper cites 2015 , url =.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces 2015 , url =

Reference 10

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source=arxiv_source observed=2026-08-01T14:54:29.759281Z digest=sha256:0411d61642a79121daedc647ee2660a0c0edd96964f954b157c630e570b9d7ed

Observation 6e770a35-7a7a-490c-9bfa-760a10f92e39 · outbound

This paper cites 2023 , eprint=.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces 2023 , eprint=

Reference 11

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source=arxiv_source observed=2026-08-01T14:54:29.869249Z digest=sha256:9b04c0ff02554febb51fd4bf2f0bbdc30e2b13f5e8a3fa1948f3fbf4204c9996

Observation fbdc93e6-3531-4e48-9218-6324114fbb56 · outbound

This paper cites On the Power Operations of.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces On the Power Operations of

Reference 12

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no resolver link, observed 2026-08-01T14:54:30.044113Z

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source=arxiv_source observed=2026-08-01T14:54:30.044113Z digest=sha256:e127d28d0ebb1caa79cd587e88564e659c0e40d3dc9131e45bd7a44663ca82f8

Observation 60ccb0b2-4235-40c5-8c2e-be754a37387f · outbound

This paper cites an unresolved cited work.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Unresolved cited work

Reference 13

Resolution
parse uncertain
no resolver link, observed 2026-08-01T14:54:30.163900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:30.163900Z digest=sha256:e55b160d9bd3495d2d31977339e6b1d19da5c638afd96074e1e626061488932f

Observation e65344d1-70cb-4e6f-8a49-482fa823ea58 · outbound

This paper cites On K(1)-local SU-bordism.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces On K(1)-local SU-bordism

Reference 14

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no resolver link, observed 2026-08-01T14:54:30.373062Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:30.373062Z digest=sha256:2cec0f3aa0e2f879e629a0703838cc015a41e7eb8217ff9ab9621fc61a344e9f

Observation 6070767b-28d9-42fb-8f41-bccd5f45b3d1 · outbound

This paper cites an unresolved cited work.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Unresolved cited work

Reference 15

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no resolver link, observed 2026-08-01T14:54:30.572136Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:30.572136Z digest=sha256:6cba3b758f5276dec9a57414a5c0f2e500846083d00db6c4fa1156290e66f918

Observation fc2bac19-1dd1-4f73-a2e4-c2b9c4e3ad46 · outbound

This paper cites The Morava E-theory of Eilenberg-Mac Lane spaces.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces The Morava E-theory of Eilenberg-Mac Lane spaces

Reference 16

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no resolver link, observed 2026-08-01T14:54:30.716378Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:30.716378Z digest=sha256:b9e44fff8e9bc40ceb7c57fae430e587bda1be9ed06fe8929d01890525a8618c

Observation 4d32fbae-0117-4ebd-b5b4-a0c9433b27e6 · outbound

This paper cites The power operation structure on.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces The power operation structure on

Reference 17

Resolution
verified exact
doi, observed 2026-08-01T14:58:52.235157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-01T14:54:30.883838Z digest=sha256:ce745ccbd2fffb6eccade3924e41d62c71b74e36078ec236de7267b9ce5cd09e

Observation 8c05bcd5-7e07-4dca-8429-174e234d3f25 · outbound

This paper cites The congruence criterion for power operations in Morava E-theory.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces The congruence criterion for power operations in Morava E-theory

Reference 18

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no resolver link, observed 2026-08-01T14:54:31.012619Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:31.012619Z digest=sha256:8795e546718eec4d8064589d7b54eb3fd57a02bdfd34e8eab2c9514379e9fe8f

Observation 0c478b7d-c8f2-4a36-ac68-2703202b8b69 · outbound

This paper cites Rings of power operations for Morava E-theories are Koszul.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Rings of power operations for Morava E-theories are Koszul

Reference 19

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source=arxiv_source observed=2026-08-01T14:54:31.176590Z digest=sha256:39d09a59183a0873c57d12fcaa235ae3232da8dcc36747957de7d3ead4a3b015

Observation eebb8106-6e1b-4e9e-bbe1-02af5b143f83 · outbound

This paper cites Peter , series=.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Peter , series=

Reference 20

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no resolver link, observed 2026-08-01T14:54:31.349780Z

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source=arxiv_source observed=2026-08-01T14:54:31.349780Z digest=sha256:b6813b34e360abcf5655cb91f8534bb8e4c63e65da06a5eee2366e79d68028c7

Observation 276f6e63-7b8b-430f-9e93-0f3ed8e32481 · outbound

This paper cites an unresolved cited work.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Unresolved cited work

Reference 21

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no resolver link, observed 2026-08-01T14:54:31.527484Z

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source=arxiv_source observed=2026-08-01T14:54:31.527484Z digest=sha256:8b69a028f1773fc0024d844279ad1fe08825a13cdf1b33603d69b0dc1f0a9015

Observation 3fc9184b-e742-4a6e-bf97-72a39c0ab5e4 · outbound

This paper cites an unresolved cited work.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Unresolved cited work

Reference 22

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no resolver link, observed 2026-08-01T14:54:31.694717Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:31.694717Z digest=sha256:56938c0913e98c88864ca3747d3ede3b21065aef34cb0f0f33950ee664d3878b

Observation ad11523f-cd9c-463c-9656-eec940d456be · outbound

This paper cites Power operations in.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Power operations in

Reference 23

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no resolver link, observed 2026-08-01T14:54:31.828496Z

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source=arxiv_source observed=2026-08-01T14:54:31.828496Z digest=sha256:2e4cf171be4aeb106cfd1ff41ba3afa0dcb18b2f0915653739db8347e7bd7d76

Observation 1c5b9eb8-3837-4b66-835e-d3e0d26cfa65 · outbound

This paper cites A simple universal property of.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces A simple universal property of

Reference 24

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no resolver link, observed 2026-08-01T14:54:31.972983Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:31.972983Z digest=sha256:9496fdf06b030eef73baa694d575ff0366c2cd7ef193efedb45d6cf061b9d97d

Observation f7267a3b-fb96-455d-b41d-365b6f6d1aed · outbound

This paper cites 2024 , url=.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces 2024 , url=

Reference 25

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no resolver link, observed 2026-08-01T14:54:32.097705Z

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source=arxiv_source observed=2026-08-01T14:54:32.097705Z digest=sha256:3c249eaa630d3929cc67e3974d468112f8e27e810d3e16f6c9b3901140601da4

Observation cf84f65c-a134-4355-b1d2-f19a1973744d · outbound

This paper cites Journal of Pure and Applied Algebra , volume=.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces Journal of Pure and Applied Algebra , volume=

Reference 26

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no resolver link, observed 2026-08-01T14:54:32.248346Z

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source=arxiv_source observed=2026-08-01T14:54:32.248346Z digest=sha256:fc1b1103ec885454d5bfcfa74e4aadb255c70cd1c34b665d625c7494513e69ca

Observation 94ebc197-0662-4189-aa74-954c36caa394 · outbound

This paper cites 2014 , note =.

Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces 2014 , note =

Reference 27

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no resolver link, observed 2026-08-01T14:54:32.371595Z

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source=arxiv_source observed=2026-08-01T14:54:32.371595Z digest=sha256:160c97ddf92b37153fa1fc972a6c9e2e379d1471417ded7cf02750502212a749

Pith citing papers

No inbound Pith citation observations are available.