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Paper Citation Record · LEDGER

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers

As of 20 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2412.03540.

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

pith.paper-citation-record.v1
2412.03540 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:32:25.689584Z

measured 14 of 14 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:46:10.625231Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T13:46:11.157755Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact2
  • verified fuzzy10
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 07d605f2-1abd-4f2c-9fe5-2d584e378dbe · outbound

This paper cites Alweiss, S.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Alweiss, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:32:26.190523Z

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=pdf_text observed=2026-08-11T22:32:25.614346Z digest=sha256:c0f59b666c809190084a61abc20c783f82d2ecc90ba9aa913232e7286ab4d0d1

Observation 34d4ccdc-9156-412e-a1f2-7b05dd60ff5d · outbound

This paper cites Bednorz, R.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Bednorz, R

Reference 2

Resolution
verified exact
raw_fallback, observed 2026-08-11T22:32:26.008504Z

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=pdf_text observed=2026-08-11T22:32:25.620536Z digest=sha256:f6557bae6381e8c8d0371ac5decd8cc023c2cc63be1c3e56aca9f332a2d504e0

Observation 189acd1f-9022-4e7f-8e8e-4f73b6f3ea51 · outbound

This paper cites Bednorz, R.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Bednorz, R

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-11T22:32:25.902834Z

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=pdf_text observed=2026-08-11T22:32:25.626534Z digest=sha256:7ed91eeff9f66dd559246c466f2bdf397bdd015e61598b1d586b0f72cdf1e5dc

Observation 72048fa9-a03b-4e33-a00c-08a879e29161 · outbound

This paper cites DeMarco and J.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers DeMarco and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:32:26.173098Z

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=pdf_text observed=2026-08-11T22:32:25.635684Z digest=sha256:5ae030089943fb6eb310470ed6ae35f3a70109ca1654b4262da57a6222b460b1

Observation 82f2625c-bc29-4a92-aaa4-904dfae7cd85 · outbound

This paper cites Some results on fractional vs. expectation thresholds.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Some results on fractional vs. expectation thresholds

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T22:32:25.643434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:32:25.643434Z digest=sha256:f953b561960c3d501aad604fa184b6668d19fd9123b4d8a0755b5bf09c0ed558

Observation e88bf8de-0f1a-4d5f-9c33-98ff5730ac5d · outbound

This paper cites Frankston, J.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Frankston, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:32:26.156948Z

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=pdf_text observed=2026-08-11T22:32:25.651451Z digest=sha256:fb8187312e9a8a9798cb324025bcc347966a15d9745bafad07005baf3aed3cde

Observation 40eeb102-cc10-4f17-ad2b-d79683acd430 · outbound

This paper cites Frankston, J.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Frankston, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:32:26.136799Z

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=pdf_text observed=2026-08-11T22:32:25.657893Z digest=sha256:5cc5a903c3b680ef70b03a592d38bffc64cafc576f71132f373144495e9bcf68

Observation a20e9348-0eb6-4b14-b611-7bdf2eee40c8 · outbound

This paper cites Kahn and G.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Kahn and G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:32:26.117129Z

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=pdf_text observed=2026-08-11T22:32:25.663133Z digest=sha256:ccec1867798f2e20ddd8ed7c7fdc78f862d219e4be3b07a6b80b3a04dacbb441

Observation 77dcd682-209d-45af-b4cb-37d902d2ea63 · outbound

This paper cites Park and H.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Park and H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:32:26.100971Z

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=pdf_text observed=2026-08-11T22:32:25.668792Z digest=sha256:d83f102bc8d7e67f6ca7980e1999739fbde755c1f21d9898b45aca811d73d0f3

Observation 45edbb29-9cf3-432e-84c3-5b273c62acb0 · outbound

This paper cites Park and H.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Park and H

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:32:26.083127Z

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=pdf_text observed=2026-08-11T22:32:25.674224Z digest=sha256:1dbedf0f8550376759772b60175f2c0b3b192b61fc2e9d330ecb3dbabea00b1a

Observation 74008fde-662f-4995-8737-c2ca1dbed4a2 · outbound

This paper cites Talagrand,Selector processes on classes of sets,Probab.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Talagrand,Selector processes on classes of sets,Probab

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:32:26.065574Z

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=pdf_text observed=2026-08-11T22:32:25.679269Z digest=sha256:7d9e2f1d162161b7f5e0f98e0ad3e41db91b2c0ca63446fede61e628578a3c4e

Observation 5aef14f2-3f8a-42bc-a1cb-1b5f7877f542 · outbound

This paper cites Talagrand, Are many small sets explicitly small?,Proceedings of the 2010 ACM International Symposium on Theory of Computing (2010), 13–35.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Talagrand, Are many small sets explicitly small?,Proceedings of the 2010 ACM International Symposium on Theory of Computing (2010), 13–35

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:32:26.046940Z

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=pdf_text observed=2026-08-11T22:32:25.684245Z digest=sha256:338ab08932eee73b4d27b7b4d7a10e00c14f1f8fc7d9763e2f66736c99e25260

Observation 45cfe36f-eebe-4daf-8fd7-794e08e5f9f7 · outbound

This paper cites Talagrand,Upper and Lower Bounds for Stochastic Processes,Ergebnisse der Mathematik und ihrer Grenzgebiete.

A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers Talagrand,Upper and Lower Bounds for Stochastic Processes,Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:32:26.027509Z

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=pdf_text observed=2026-08-11T22:32:25.689584Z digest=sha256:ed7dd55d0f6d1bad292c031ff6bd5e12c101a77ccfb1e693dc5fb240fc2aef5b

Pith citing papers

Observation 59819bd9-314f-403a-94ce-c66287d7141b · inbound

Further remarks on fractional vs. expectation thresholds cites this paper.

Further remarks on fractional vs. expectation thresholds A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:46:11.187505Z

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=pdf_text observed=2026-08-07T13:46:10.625231Z digest=sha256:861e23f83a1047c7054b9c429874a0d9b99dfc343332e9b17dd47340044b7371