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Paper Citation Record · LEDGER

Law of large numbers for the discriminant of random polynomials

As of 9 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.12206.

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

pith.paper-citation-record.v1
2506.12206 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:09:56.189099Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy12
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5e8fe0d0-6831-4e7f-a6b0-bca66176c929 · outbound

This paper cites an unresolved cited work.

Law of large numbers for the discriminant of random polynomials Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:09:56.535803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.091857Z digest=sha256:3b77bde1c89b2655fa4da555fe609c518e5240f0c787ffac822ae2bc0a28d167

Observation 8da1485f-79a7-469c-b541-1ffb02f14af7 · outbound

This paper cites Aza ¨ ıs and M.

Law of large numbers for the discriminant of random polynomials Aza ¨ ıs and M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.522897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.097005Z digest=sha256:61a353062e6a5f83232836b22dd92ae0617df7251ad65ad37523eabda11c42e9

Observation 8eda345b-ecd5-4ead-ad56-bbe9cdc1cb11 · outbound

This paper cites Bary-Soroker, O.

Law of large numbers for the discriminant of random polynomials Bary-Soroker, O

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.509318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.102053Z digest=sha256:f401ad8a1ef45083b78ad1c555cd0f1cefcfa9a6cf1060b7db376ef08366c3ce

Observation 6dbeac25-3e2a-4c0f-925d-3bd033fd8ab0 · outbound

This paper cites Bary-Soroker and N.

Law of large numbers for the discriminant of random polynomials Bary-Soroker and N

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.495660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.107109Z digest=sha256:d9f0f7411dbe287b65490626115996ef9f2a892e6b8b62cbf397073438fb38a9

Observation c4e28114-2ef5-4498-bc67-2a797d01654c · outbound

This paper cites Bary-Soroker and G.

Law of large numbers for the discriminant of random polynomials Bary-Soroker and G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.483217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.112493Z digest=sha256:60a3b504d476d752575bf59fadee2ceebfa1add70d2e702392d375357a6be465

Observation e23a4aa7-0476-477c-aeeb-8c61a3e077d9 · outbound

This paper cites Bhargava.

Law of large numbers for the discriminant of random polynomials Bhargava

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.470337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.117109Z digest=sha256:5bec5ecb0900d18f8283051265b42847e0d3e97069221108694e5a038f424be4

Observation fcdacd0f-3784-4216-ac64-7f11a0415c84 · outbound

This paper cites an unresolved cited work.

Law of large numbers for the discriminant of random polynomials Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:09:56.455881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.122023Z digest=sha256:fddb0627929a9e31ef96c3536491d06d8fe1c6ef5cde1039cfd65b7c1e844bd0

Observation ef4f9acd-233d-42f4-ad26-c417c0e37233 · outbound

This paper cites Breuillard and P.

Law of large numbers for the discriminant of random polynomials Breuillard and P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.441523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.126181Z digest=sha256:a6fa7a702ba5c6265c04c5dde2bef3ea3113d2bf793fbe1d50d8c74aee7ab741

Observation b88feb00-dc59-407c-ab7b-c196978894e0 · outbound

This paper cites an unresolved cited work.

Law of large numbers for the discriminant of random polynomials Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:09:56.427795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.130135Z digest=sha256:9fdec75d081fe86ec92522b2d10922f6f12c794424a549927340a17767d7d19b

Observation ac45faf8-9dfa-44f6-bcb1-cc8897fd891c · outbound

This paper cites Erd˝ os and P.

Law of large numbers for the discriminant of random polynomials Erd˝ os and P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.414317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.134838Z digest=sha256:b2f4e2eff6be1254564009e1a9035296d6c3cbbae0ba36832bcdf9e8fc724669

Observation 30af4207-b6af-4fc6-84fc-7407a5c20ae8 · outbound

This paper cites an unresolved cited work.

Law of large numbers for the discriminant of random polynomials Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:09:56.401073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.139477Z digest=sha256:e11b8c8c3ee3f094527c229137f694481862e815b4c2fd3f5dfa8774d3b4752f

Observation 7fa7a073-912f-4b23-ae8f-c6b465de8459 · outbound

This paper cites G¨ otze and D.

Law of large numbers for the discriminant of random polynomials G¨ otze and D

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.387204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.143725Z digest=sha256:d6afc421ff3665ea902ab9e51c414d549cd23c50b36afa046d16e441ecaa5021

Observation a3171f46-3301-4c27-a87b-b2096a4400a2 · outbound

This paper cites Counting (skew-)reciprocal Littlewood polynomials with square discriminant.

Law of large numbers for the discriminant of random polynomials Counting (skew-)reciprocal Littlewood polynomials with square discriminant

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:09:56.252493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.148275Z digest=sha256:650d52bba744f514d05fc2fc0095e11738c32ae0b332744fbaf2fcb41c445ab4

Observation 72290684-2249-4a0e-a76b-1631415df07e · outbound

This paper cites Ibragimov and O.

Law of large numbers for the discriminant of random polynomials Ibragimov and O

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.373330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.152967Z digest=sha256:16003462d5079b5c338b3371b7903f2446fec31e3a4c1fd7c43398592ed11e58

Observation 935b132b-6a80-4b35-8216-11c7eee39c36 · outbound

This paper cites an unresolved cited work.

Law of large numbers for the discriminant of random polynomials Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:09:56.358671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.157760Z digest=sha256:9b5328594b35dac2f6c33c25170857c67bdbf026983c7bfff77f29aeaa205f4a

Observation d8296ac7-e4f8-4b95-b178-dda1b86cf61c · outbound

This paper cites an unresolved cited work.

Law of large numbers for the discriminant of random polynomials Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:09:56.344153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.162438Z digest=sha256:6e4f56ace9f7ea76eb69dd8dbeee374405904bed9b4b6deb45a6400b9ace3e96

Observation f224c46b-2e58-40da-9b97-33b39a85edf3 · outbound

This paper cites McKee and C.

Law of large numbers for the discriminant of random polynomials McKee and C

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.328433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.166408Z digest=sha256:392a46da7279663b0db4d7600278b081fbbd86a6a11be0dc682eacd6d42d62e5

Observation e892cd50-b69f-4138-ada3-d54769e7de46 · outbound

This paper cites Michelen and O.

Law of large numbers for the discriminant of random polynomials Michelen and O

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.312336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.170644Z digest=sha256:f5c5074229e5c387f7bcbb6c4413f5f61407ce5606d16957e3eea28a7c573eda

Observation 74727b6d-7718-4e60-8723-1e8d759dc135 · outbound

This paper cites Limit law for root separation in random polynomials.

Law of large numbers for the discriminant of random polynomials Limit law for root separation in random polynomials

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:09:56.230657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.175085Z digest=sha256:a444fbd3128da07c04e932acfda9dc92a0279e289137e16cad8f78aee74156ec

Observation 69c817e8-a023-4ac5-9b12-ae7b0a5a3f4c · outbound

This paper cites an unresolved cited work.

Law of large numbers for the discriminant of random polynomials Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:09:56.296521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.179939Z digest=sha256:7fe1776e71768142e4b34469395470610d78369e9e414cdb3c1fc5806acf9ba7

Observation 5355f662-25aa-4017-a95a-76546d5b0add · outbound

This paper cites an unresolved cited work.

Law of large numbers for the discriminant of random polynomials Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T01:09:56.281205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.184548Z digest=sha256:23910f02c6178c44496609bc0212735b5cbe7b6059f5502ae60f771d41b6d2a3

Observation 9be127f8-b87d-40a5-b664-0527969e1531 · outbound

This paper cites Yakir and O.

Law of large numbers for the discriminant of random polynomials Yakir and O

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T01:09:56.267016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T01:09:56.189099Z digest=sha256:2f3d1f83ceb3dc895314b8b85b507d9c1eab0b484a377fce427cebb8bbdaec9f

Pith citing papers

No inbound Pith citation observations are available.