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Paper Citation Record · LEDGER

Rational G-spectra for rank 2 toral groups of mixed type

As of 12 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 3 inbound Pith citation observations for arXiv:2501.15584.

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

pith.paper-citation-record.v1
2501.15584 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:16:07.480147Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T17:15:37.756836Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T23:21:50.302905Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy1
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a0ca7d9-cfa7-44b7-8e70-645f95ec1fb7 · outbound

This paper cites Prismatic decompositions and rational $G$-spectra.

Rational G-spectra for rank 2 toral groups of mixed type Prismatic decompositions and rational $G$-spectra

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.413602Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.413602Z digest=sha256:be61b03e4383ce82cdd0c487f28c79b2440acf4ca4789c317d56df9fd519e0db

Observation 0244305d-dc31-4a3e-8ccd-a80c00abd114 · outbound

This paper cites Greenlees, and Magdalena K¸ edziorek.

Rational G-spectra for rank 2 toral groups of mixed type Greenlees, and Magdalena K¸ edziorek

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.420666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.420666Z digest=sha256:5b3f3d7e99c8db31fcccff82f5a6f88349eca7f92896123b54e626c244b4e9e9

Observation aa7eb4ee-fc27-4ff6-9c42-a9bf33d3b4fa · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.426986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.426986Z digest=sha256:74b06312291075ce43fa91fd87cfb6e917b4a8e3d6ef6218f1d6f70c2948bf48

Observation 6b7de12d-d2f9-471d-a447-1f580bd0ed7f · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.433455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.433455Z digest=sha256:dee8f39394a10af3df6e0b03ad92758c505c48631bbca938770da2e7a8d1b374

Observation d6bd657e-a9e6-48b2-8d90-bc4e9811cf6d · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.437946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.437946Z digest=sha256:ec278a65153da51db877c17bdc4ed57e14c310c2b957aed697c38a4e86e78623

Observation ab80c493-bf0b-4639-81f1-fd4579350399 · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.442376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.442376Z digest=sha256:98d23bcca39c702132940302cf12714c89feeace8ee52fed46d547ba8f33050a

Observation 32e2673b-2a84-4790-927a-e0c27a98cd96 · outbound

This paper cites Algebraic models for 1-dimensional categories of rational G-spectra.

Rational G-spectra for rank 2 toral groups of mixed type Algebraic models for 1-dimensional categories of rational G-spectra

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.446559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.446559Z digest=sha256:b8169f4a64eba6c58669b34a186f7ce0298768bbd6006a4a34a94f0b47fdf0d7

Observation 5bdf6141-d7e9-4b93-be7c-5177ca41002c · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:16:07.695466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T14:16:07.450579Z digest=sha256:304dab881a89f4078f023e9d80f0a39f77feaa5243913da0a251c89896d6ea79

Observation 7695c5f6-38df-4b12-a430-1ac6fe44ef4f · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.454146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.454146Z digest=sha256:2f8ac4087a967e750e4ee8b8575fba0657e3e41f2d4255c9f86c65d468f126ac

Observation 216a9ae5-13f9-4485-9f13-bc3fd1482cd3 · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.457777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.457777Z digest=sha256:ab06ee4cfffefe2fb41146e5a5608c9e36637a245a587b1d852a2e0f059e63c3

Observation ed85805f-36d2-41a5-aebd-9bd301214125 · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.461584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.461584Z digest=sha256:b9b877c52a2a79bda7c0ea71b6657ddbd4fe5df71600aeeee976120fe62a6a61

Observation f9e3cfab-d286-4253-bf4d-fba21e29b694 · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.465520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.465520Z digest=sha256:371efc39e604cfc6f4d1367ec73058c306f11df6f2ed693d3e4d1eca54a14953

Observation c7bdc7b9-e9c7-424c-b20d-129b4bdccbab · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:16:07.654623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T14:16:07.469522Z digest=sha256:0ddc68f309b9ae16c446ed435bc5c03465ffc28eb8c55cbe146b690210be59e8

Observation 11709be8-d898-4201-b0cf-e8f467899c10 · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T14:16:07.641498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T14:16:07.473022Z digest=sha256:7612cac5895bd6961122c4c2ae784a6ff0b8ca531a75117879472bb8254d36e0

Observation 6fde4e58-d7f1-4979-855d-9ea3a524bc8e · outbound

This paper cites an unresolved cited work.

Rational G-spectra for rank 2 toral groups of mixed type Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-10T14:16:07.476480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:16:07.476480Z digest=sha256:fc60e9624f7074bbc1fa3f98e2613c95e662189079d4eefa5e2a7fd5e21e9bb6

Observation 251babdd-dec0-42e5-8fd0-675ce57fb2d5 · outbound

This paper cites HZ-algebra spectra are differential graded alg ebras.

Rational G-spectra for rank 2 toral groups of mixed type HZ-algebra spectra are differential graded alg ebras

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:16:07.619122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T14:16:07.480147Z digest=sha256:6f697e0fee834f58cb22e6aa7aea52095a1f22ad325175d194697e446b6e3391

Pith citing papers

Observation d46d54dc-cf8c-4a4b-8ef7-03c8ce11e8c7 · inbound

An algebraic model for rational U(2)-spectra cites this paper.

An algebraic model for rational U(2)-spectra Rational G-spectra for rank 2 toral groups of mixed type

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-09T17:15:37.756836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T17:15:37.756836Z digest=sha256:dfc390748f7b98e1ff9764337910faa14464bd4fe8a206cd3e4b816f6f8ad406

Observation a3806edc-c904-4f7f-8d55-47b803f37777 · inbound

Rational SU(3)-equivariant cohomology theories cites this paper.

Rational SU(3)-equivariant cohomology theories Rational G-spectra for rank 2 toral groups of mixed type

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-08T17:10:20.875432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T17:10:20.875432Z digest=sha256:9f9a8b04cc9d6044387e06cb8d4f58445557d83ce9ff57dd97e76cc84c245582

Observation 3475d506-603b-4735-9fe2-9f63fb6e1aec · inbound

Rational Sp(2)-equivariant cohomology theories I: dominant subgroups cites this paper.

Rational Sp(2)-equivariant cohomology theories I: dominant subgroups Rational G-spectra for rank 2 toral groups of mixed type

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-11T23:21:50.379377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-07T17:10:08.085946Z digest=sha256:b5e7f453128256db5f7aa7fe80cf930cfc6d1236870662a08e33e3ce0eaa2ca9