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Paper Citation Record · LEDGER

The third moment of the logarithm of zeta and a twisted pair correlation conjecture

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2412.20099.

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

pith.paper-citation-record.v1
2412.20099 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:41:32.034114Z

measured 21 of 21 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 2026-08-06T20:13:33.868033Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:13:35.416170Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e5a39a17-9c96-4f07-8a06-d4628f876988 · outbound

This paper cites U ber die Montgomery'sche Paarvermutung . PhD thesis, Universit \.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture U ber die Montgomery'sche Paarvermutung . PhD thesis, Universit \

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:41:32.343318Z

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=2026-08-10T23:41:31.955436Z digest=sha256:bfd1e169b066eaf44a09e2457322724bf3dcaa26bde39e916e88e419749e4929

Observation f8d9d27d-c1dd-4e5f-b53e-8f585325888d · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.329135Z

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=2026-08-10T23:41:31.959511Z digest=sha256:3540ccc1f6ce9ea563bfe5c80d18c9380b9b12b0c88fc7e0b8aa25d97624a540

Observation 93ec793b-0168-4de4-8b81-3be4ecc5c7b9 · outbound

This paper cites Friedlander and D.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Friedlander and D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:41:32.314023Z

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=2026-08-10T23:41:31.963394Z digest=sha256:6bc37f32a7b66bb0e18772981b7b990b940a3fc26f44045ad31528b1a1c4946c

Observation 2bc7e8fa-e8df-49ba-a79b-d5a476c0507c · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.298504Z

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=2026-08-10T23:41:31.966887Z digest=sha256:55d4a5720d08cfb0fc6b07219f66b0c91c7ab9fdc570640672ad71fa685d62a7

Observation cb6b0467-e7d3-47e1-9e27-fc4dda40e494 · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.283728Z

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=2026-08-10T23:41:31.970582Z digest=sha256:c32970f7760242a2060336985110ec3b38401e9ef1f5b669d5a21dbb03b8910e

Observation 9baf0517-b2be-4d2a-b5f3-2993b02c3f16 · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.269136Z

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=2026-08-10T23:41:31.974888Z digest=sha256:9ea17a3a2607bf5f6c292536b387b5638edd98bbf3b9634e7cd24aa4db78081c

Observation 46495b7f-d7a8-4056-8c91-bf40f587d06e · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.251808Z

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=2026-08-10T23:41:31.979762Z digest=sha256:cb95afdcb8b6421a850163a9a90920e97428d49255029e671480cc772e9ccb4e

Observation 2f8d998c-9c6b-4e47-8d1f-addc5c2d3e75 · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.236316Z

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=2026-08-10T23:41:31.983503Z digest=sha256:81eb20c256be4c33a3f18c330ba8ccd502a693a1f6095781fd8e1a4a065110b9

Observation 9decbc9b-91db-42ec-b8e5-c1f7675f4222 · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.223195Z

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=2026-08-10T23:41:31.987202Z digest=sha256:0cf89ccf5fade95d599bf84b0e06a6dd1742260c7aaacbb7653acf8a372bee75

Observation b7568254-a928-4519-85a7-c41f5ff9a1e4 · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.209452Z

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=2026-08-10T23:41:31.991661Z digest=sha256:2fbd875f0ea0cb0d8b6ec26fcf270f71e40411c10ead09316387c24c79e12420

Observation d62fbaad-fdab-4b5e-9b26-4c8c419f4994 · outbound

This paper cites Keating and N Snaith.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Keating and N Snaith

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:41:32.195533Z

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=2026-08-10T23:41:31.996046Z digest=sha256:61bbd300d234fd770e6e6e82db8d654fc577116f881a5525a0ab07ff666dc94f

Observation 1a7a27f4-f887-4874-bd5a-a40870b6b529 · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.180113Z

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=2026-08-10T23:41:31.999977Z digest=sha256:20e50443403d4103517f113179a38ae32f856be41b854df60980a5e9189654e5

Observation 70f9aa7f-bc41-4ebb-9d9a-500ca6881060 · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-10T23:41:32.004503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T23:41:32.004503Z digest=sha256:d08e467e8f48cd17f41e04438dc085d09158f5472d04afef2e60c57d53301d90

Observation 138f469c-5075-44af-b55e-5ebb1a31b131 · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.155821Z

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=2026-08-10T23:41:32.008463Z digest=sha256:d3a9a6d8e57d0afe2052e6d3dc11f1fb426e187f1cb0556ac78ac3ccfefd116e

Observation f3d04374-febe-4bee-9325-e3edf9c466e7 · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.143245Z

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=2026-08-10T23:41:32.012593Z digest=sha256:9e56bb192668a62ea5e8c59b7a2654a62b289825c570d1f9f993a55f12ccfbcc

Observation b9cfb21e-a775-4527-b100-8a46f7b9f5ad · outbound

This paper cites Rudnick and P.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Rudnick and P

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:41:32.129396Z

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=2026-08-10T23:41:32.016548Z digest=sha256:3d174e865f4d65d9a751359933e1f5fc07a21c1dfa08a7d30e33992155bc34eb

Observation 98323b3f-bca9-4c00-8f7a-1d34849aa74c · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.116093Z

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=2026-08-10T23:41:32.020731Z digest=sha256:7a1c040d81ac34207d435d7459192864705cd44239786f2b29e0f891c75caa6f

Observation a9554108-0b3a-4455-bd59-7db2eafb88ca · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.101580Z

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=2026-08-10T23:41:32.025122Z digest=sha256:8eff7efa9701e7d0abbc56eb32fdae840b173546014f797bc676892f18713c33

Observation 933bb8bc-8241-4b25-a8b0-fd3fdec66d15 · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.087529Z

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=2026-08-10T23:41:32.029490Z digest=sha256:05b93e5101defb54d3fd8ace30ca989b10f1fa764f1e55606755a1ade06b1a73

Observation 954e18d7-8607-4bcd-9041-92ea21b6cdcf · outbound

This paper cites an unresolved cited work.

The third moment of the logarithm of zeta and a twisted pair correlation conjecture Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:41:32.072066Z

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=2026-08-10T23:41:32.034114Z digest=sha256:cae739c1c9499426ada106e8c70481032be30c10e277dd6a8d411b2e3b5589da

Pith citing papers

Observation b4ab326d-f083-4467-804e-16b3116083c7 · inbound

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros cites this paper.

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros The third moment of the logarithm of zeta and a twisted pair correlation conjecture

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:13:35.467757Z

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=2026-08-06T20:13:33.868033Z digest=sha256:f217bc3829826745649d00c1d5d5ea81fdbcb36ecbeeffbc44c60b32310764f9