Pith. sign in

Paper Citation Record · LEDGER

Law of large numbers for the discriminant of random polynomials

As of 19 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.091857Z digest=sha256:818b26c5f3dd4cb00c23853c1184b1f5acdb3e118f7ccc661def810d1ce9f126

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.097005Z digest=sha256:55ce8c628abac8e19972f2c37c86659ef024ceef376b1115dd8198b2a4d23481

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.102053Z digest=sha256:2e6aa4e53cb425687325bff371509d307f00a40f712a251c24d03983d5e47ef1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.107109Z digest=sha256:6f4cad60978cdfc14e978f4a2e5a91e9e23134c0300068b4ff6a19386fab738b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.112493Z digest=sha256:f1885952a9bdbce17e7b758864528d4a3c36c0c9789c84f4df0657ca7291bc95

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.117109Z digest=sha256:42fb01bc30a0882d312eecdce962d8acea1bee9aabe7dc2b8f13ff6cc344d3c1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.122023Z digest=sha256:83924595dccf7559db63203e598b711b0279d6144cc33ed2a762feca2d1e4da4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.126181Z digest=sha256:9309ce7590a9787138774ac4ba715b1be570996fa16ff6f151f4fe8be799a863

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.130135Z digest=sha256:e63886b1742833a43808822bcea116aefd17edb9df9480eb61248243b68b534d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.134838Z digest=sha256:1aa1e8503ffa31f6b5860dbacc5fbb0b89837e61ab555b4993f6acceffbbf8e3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.139477Z digest=sha256:ae744b6517413f2e49a7123c7329f60737e52ad451fe2e42ade3663f20b97e9d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.143725Z digest=sha256:07715c305fd61791e9eab59e27ddebb05af200a7e615a36d65f25d85cb7ecad5

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.148275Z digest=sha256:af66de5b59a1f2c4622f7a3a240ea5dca7bcfe45de0af80a1fe4198786a2e1b8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.152967Z digest=sha256:94ae86413077e885a1534f097e5703842ce163a32213a5ff9d699a2adb05f38c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.157760Z digest=sha256:87e4f8bb45f36dd355850550e9a415adaf8172dd1c302af66881a07583c03b74

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.162438Z digest=sha256:ccb4d47c5fee73aebce0a011ab06d898719d30fb14c611f2f9af657a983296c3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.166408Z digest=sha256:6ccd8657de8be05ade701131795d579049841ff8f8fde064e2c2ca36eb1a28f8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.170644Z digest=sha256:55f7069082fa101dcd3a0b2474f9fcd48cf78fcd3a2579b1a85b993b427f030f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.175085Z digest=sha256:2d11eb69f252ce74599c50264bd5db8232c72e70361e3911a2cdc847a9fc3699

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.179939Z digest=sha256:6bbc3483246aaee73245420b1fc326db839caf1e2e9622285958317966367fc2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.184548Z digest=sha256:a74302c9e243477520ff546e40b3c60ded850944b43b1f8b5ac60405fc8b0987

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T01:09:56.189099Z digest=sha256:bc9183b40afda3c84e36a8a77dd3d03cfba677c9b2ec84bf5846335e0d1661fd

Pith citing papers

No inbound Pith citation observations are available.