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Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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=sha256:854230af25e83c11cfb7acd402d655f08e459fa27b24d450843941cb16fc2f59

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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source=arxiv_source observed=2026-08-01T14:54:28.585568Z digest=sha256:0e06297e0ce20946eb29b1d6a12613b5c97616e0ca07b93e911a245f3b9a0a69

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

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source=arxiv_source observed=2026-08-01T14:54:28.808915Z digest=sha256:09c81ea5c8847e6e54c074b6e5916d334e216e8331c0d0030d675cadc291e077

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:cc0e38ee927f2efcd91fef24dee0a53d6b51a5efb6968527f41ecfa00952d462

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-01T14:54:29.098247Z digest=sha256:2f620314928efa81e57ce60b90bd86955c3245748b98b1a51bec28157c4bf0f0

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

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source=arxiv_source observed=2026-08-01T14:54:29.277404Z digest=sha256:5c6a301f966bc7ed467dc7690a7fe570407cd52c5464676c1e1f78137070f6de

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

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:29.397846Z digest=sha256:976262ceccc77bca8dc7f699be286a02ffebfc7043d3f073637e162bbf539e19

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=sha256:1f92e33867eab83b7a8461d6553d7bb599d13c00c82307b4af2c8549348948b9

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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source=arxiv_source observed=2026-08-01T14:54:29.638051Z digest=sha256:16aa907cdbe0bc2fb7ab2f86552b6c4c57521ba6e6352de9ac6281ea2e015264

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:d934cac72dd23c8788de6b0b9eec81e6de87b344e297c214accc707c08d7b2d9

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:d61b9ff21190455decc67eb553d5632ccf0a4986f7ba171ca0226fb242d2859a

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=sha256:1895b7673872a939366168af7d94db905727c3fbb11fd65fb6bff416446e37c5

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

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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:d5cb1cd410e901083b8c22945dac1e7b1ba36fffcc595db4055da8e6b6da14b2

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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source=arxiv_source observed=2026-08-01T14:54:30.373062Z digest=sha256:feaa6ea8feaf0e78c72cb7bf88ea6d56edbbd28bd77031feb5b0b3f22e47a6a4

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

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:30.572136Z digest=sha256:2de0d97f9598c4b665c0fd5e8e909ba3ad49b2ab99363d9f77f1a07f17efd66e

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=sha256:42107c1bafa48df623d28ffd4f6d7d8e0bb4e3b566b90d6efa33fed7cec66341

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-01T14:54:30.883838Z digest=sha256:0807cb1ab4d26d14cca2bfa4946593968c54d9b6e8a086eea4ea2ca7164c4f64

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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source=arxiv_source observed=2026-08-01T14:54:31.012619Z digest=sha256:436f4a46211ffa8a191c1c88653e9a5d52243877f9c7c44b9fea35ded3ba711c

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:c2edeadff84bd2a5ab5af1583c67295dfb43ca7ce21496cb8910e0a78c9967a2

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=sha256:1fc8e973d45a628ca44317c7659ce669e7b4c313f776abb0c6d3c6d689e6e660

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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source=arxiv_source observed=2026-08-01T14:54:31.527484Z digest=sha256:a215d831a2f8c9ffeb8b109c6837cfa3418bee3f89636df2d29d214aabc2eb61

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=sha256:2a1caf1d6ea95325c3188898d4eb1be6764bd51380b079fd0288d4c7028d7236

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:d71dcae14be984ee548c536cbd7c5aeecaea3cbaf654d4d1bd5aafd21bba965b

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:b1cad44c95f43200501bde6be9d2a7ea7093e962601332cdfdad836e39e485bd

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:bb32573465ca06dfa39873c89b180b6805bd30e3482b26ec32a006269897f76f

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=sha256:88fb7080cd1893d1670fafbf6905a40cfa0cd361269fae2a4b7c8dfe8a2af634

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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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T14:54:32.371595Z digest=sha256:428bad0601fb9797f195ae0bb013ad3c1384d78779e7732d1d1b9688d67d4e90

Pith citing papers

No inbound Pith citation observations are available.