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Paper Citation Record · LEDGER

Higher limits of wider systems

As of 12 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2507.05471.

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

pith.paper-citation-record.v1
2507.05471 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:41:53.836592Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:22:06.147109Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T00:22:06.581852Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact6
  • verified fuzzy8
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ce9eef2b-21ff-4c14-a993-5a59551f434b · outbound

This paper cites Additivity of derived limits in the Cohen model.

Higher limits of wider systems Additivity of derived limits in the Cohen model

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:54.836357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:52.880237Z digest=sha256:b89ecbdf684b565790bae4e905f6ec8b657db0ad01c8081575795ee22e9c165c

Observation 1227e27c-79af-4837-88d2-49cf7dd65552 · outbound

This paper cites an unresolved cited work.

Higher limits of wider systems Unresolved cited work

Reference 2

Resolution
verified exact
raw_fallback, observed 2026-08-06T19:41:54.730781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:52.930682Z digest=sha256:26a3341d2a8b21fadb382523beee23604c3d4a4de247c9127e332799ef8ed0c5

Observation d266c8e5-d6cd-41e5-9606-54dd3682db9e · outbound

This paper cites Nonvanishing Higher Derived Limits without $w\diamondsuit_{\omega_1}$.

Higher limits of wider systems Nonvanishing Higher Derived Limits without $w\diamondsuit_{\omega_1}$

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:54.445251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:52.993063Z digest=sha256:4723889f9e6d28d51927670c23984bc2a062245d28f9cbda1a5a921777b7c815

Observation 226aaf9c-12d4-4fd4-98bf-13dce05b4727 · outbound

This paper cites an unresolved cited work.

Higher limits of wider systems Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:55.067312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.033238Z digest=sha256:fd118582f44e99473b3ec7a79819c6caa400978d45879b35f5e1c8f4d65ce189

Observation 59ec0730-a564-4909-935e-07556417bb02 · outbound

This paper cites an unresolved cited work.

Higher limits of wider systems Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:55.048587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.077854Z digest=sha256:47a6cd2c1e87e52913ad84557730eaf30994953e3bdaa5a0d5734b2d92e6016e

Observation ed30b12f-42ca-47d1-896e-f4254744d4a6 · outbound

This paper cites an unresolved cited work.

Higher limits of wider systems Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:55.033133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.111522Z digest=sha256:ef494c33d15daeb23513abb1679d7799fb1b5324f90a8efaa68824bbc4f7eb22

Observation d0cdb7f8-7dc1-4a8d-b1fa-ec704b7d9e84 · outbound

This paper cites an unresolved cited work.

Higher limits of wider systems Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:55.016656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.156912Z digest=sha256:cfd43dfcb0fd10e2bc1054476e970602845b78753cc1446f3c4bc5046c81bf69

Observation 3358c932-a907-40f6-b720-9bab51829894 · outbound

This paper cites Infinitary combinatorics in condensed math and strong homology.

Higher limits of wider systems Infinitary combinatorics in condensed math and strong homology

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:54.301656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.211124Z digest=sha256:dd017ef4a748a114e20070da3c70b236d4977a5fde4c6908d79e76f3b2885614

Observation da58abc8-af7d-40a6-afb2-7b48816ae36a · outbound

This paper cites Pi 9 (2021), Paper No.

Higher limits of wider systems Pi 9 (2021), Paper No

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:54.999961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.273404Z digest=sha256:1e1cac5bd6366e477d9a3996e37f78b7f547b1bcf8007aba81b40ef6d88302e4

Observation 3cd30f33-52ac-4292-acf0-876db1f865f8 · outbound

This paper cites Nonvanishing derived limits without scales.

Higher limits of wider systems Nonvanishing derived limits without scales

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:54.152527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.328390Z digest=sha256:4d6215cb4895a0cf75258919a3fd0f323b6eaf0a4474d643d1aa604f5e5560fe

Observation e2c2b947-7476-4f9e-a937-6c175a26f178 · outbound

This paper cites Simultaneously nonvanishing higher derived limits.

Higher limits of wider systems Simultaneously nonvanishing higher derived limits

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:54.000569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.374304Z digest=sha256:466fa00bb268bb14636cc80f011ac6c8b0f1d8f931814d9bc9b6310496fe47ec

Observation ee8267c7-6b1c-4713-9f4b-4a0e91f26ffc · outbound

This paper cites Vaughan, Strong homology and the proper forcing axiom, Proc.

Higher limits of wider systems Vaughan, Strong homology and the proper forcing axiom, Proc

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:54.984574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.414821Z digest=sha256:731010a25f184afe56e72657b849c88d2a48558097b20769e9cb7931e9090989

Observation 716b71bb-91d9-4eb0-b77f-fb6ae8778afe · outbound

This paper cites A pplications aux modules , Bull.

Higher limits of wider systems A pplications aux modules , Bull

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:54.968346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.454405Z digest=sha256:1d08b2ebca538fb32ad28bbf213df3083421aa4a9627b4d5cca588f91b8fff0e

Observation 7e9978ef-21ee-41fc-8111-300a5856f648 · outbound

This paper cites an unresolved cited work.

Higher limits of wider systems Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:54.954137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.483307Z digest=sha256:f5ad3d7c76bc7eccd6e909ffcf827f08116a533fc72bd1e098b9596f40cc3571

Observation 1c0ca4d5-b98e-4af3-a5c0-2874de608205 · outbound

This paper cites 3, 129--146.

Higher limits of wider systems 3, 129--146

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:54.939893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.523997Z digest=sha256:136bc1347f51207a76f0fb8c74c1cd5d380acba1bd34562786a214f9a749f699

Observation d0c65e59-e2bb-494f-bd65-4c1ae365fa6c · outbound

This paper cites Marde s i\' c and A.

Higher limits of wider systems Marde s i\' c and A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:54.925609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.574502Z digest=sha256:4ac88162a5ed469f332881b6b441afc4e1028bd5de7ad4800dc4aa67fb511839

Observation 8da44fbd-2593-4e8e-923c-8b9dcaf0cd4b · outbound

This paper cites Specker, Sur un probl\`eme de S ikorski , Colloq.

Higher limits of wider systems Specker, Sur un probl\`eme de S ikorski , Colloq

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:54.910463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.633096Z digest=sha256:cf74f326519994a8ac8208ea092c1f787c57c1a1cc7639fdb7d3606f6cc1d898

Observation 79877c34-d35f-4408-88eb-32350bd92e03 · outbound

This paper cites 84, American Mathematical Society, Providence, RI, 1989.

Higher limits of wider systems 84, American Mathematical Society, Providence, RI, 1989

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:54.895336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.681010Z digest=sha256:5f02fee46e196d3f84b571992fc4465c8eb9db275855bb936da2421121031266

Observation 0f19536b-d7da-4b3f-a063-6dea5b38ae22 · outbound

This paper cites an unresolved cited work.

Higher limits of wider systems Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:54.880671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.724440Z digest=sha256:7a0868571db44d73cd7af6e096411daa64c0cec021fdbecf3b04d75e37bd9575

Observation e7715752-7269-49d6-9f58-9a563b42a7e0 · outbound

This paper cites 263, Birkh\"auser Verlag, Basel, 2007.

Higher limits of wider systems 263, Birkh\"auser Verlag, Basel, 2007

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:54.865696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.791531Z digest=sha256:5ece7491e0a6189e62a9cfa2e39d39c5494da2561cfc14f4743b76451a65a37e

Observation a1acabce-e147-4913-b022-caf75605d0a3 · outbound

This paper cites an unresolved cited work.

Higher limits of wider systems Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:54.851117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-06T19:41:53.836592Z digest=sha256:13cc3a207b1cbc4d6e35fd5304ec69cd93c1c6623a95b2374a325417d81c544d

Pith citing papers

Observation ad648d8d-88bc-4d92-bbbd-51e7cfe76464 · inbound

Infinitary combinatorics in condensed math and strong homology cites this paper.

Infinitary combinatorics in condensed math and strong homology Higher limits of wider systems

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-11T00:22:06.585287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T00:22:06.147109Z digest=sha256:20c9d49e74e09daf7e0d38ec8dd5e14e5dea8e47442d42cdce25cdc1fba1c16a