Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T05:59:35.851358Z
Paper Citation Record · LEDGER
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function
As of 19 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2412.17199.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
18 of 18 outbound references displayed
- verified exact1
- verified fuzzy12
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f9b5b3f1-565d-48fa-a67e-8b50e6ce76cf · outbound
This paper cites an unresolved cited work.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:59:36.347592Z
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.
Observation 7ede265f-755c-43d5-b679-9c59edc0cbcd · outbound
This paper cites factorisatio numerorum.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function factorisatio numerorum
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.328003Z
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.
Observation 981089c6-3a0c-4f76-b246-630800f71335 · outbound
This paper cites Fouvry and G.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Fouvry and G
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.312260Z
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.
Observation d4c51313-a152-4efe-ae11-f10726d292ba · outbound
This paper cites The typical size of character and zeta sums is $o(\sqrt{x})$.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T05:59:35.752535Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98684cde-6084-440c-8c4d-7577f406a8cf · outbound
This paper cites an unresolved cited work.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:59:36.288837Z
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.
Observation 06db152e-a67c-4e37-a23e-e7e327e7247c · outbound
This paper cites Koukoulopoulos.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Koukoulopoulos
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.270662Z
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.
Observation 7455acae-38d5-4830-9c7a-fa714519fb91 · outbound
This paper cites Mangerel.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Mangerel
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.252019Z
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.
Observation dc302993-0774-4728-aa6e-b3eb184d525a · outbound
This paper cites Matom¨ aki and M.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Matom¨ aki and M
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.234534Z
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.
Observation c09bedb6-e044-445c-979d-88df291ed411 · outbound
This paper cites Matom¨ aki, M.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Matom¨ aki, M
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.216544Z
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.
Observation 40fad267-55ae-4fc5-b881-acdf4d4d06cb · outbound
This paper cites Matom¨ aki, M.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Matom¨ aki, M
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.198695Z
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.
Observation 1ed99e02-fe2b-4aa1-8e62-afd2089edc22 · outbound
This paper cites Matom¨ aki, M.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Matom¨ aki, M
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.179001Z
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.
Observation 4827f5c5-6ebe-475d-9005-f40024522b94 · outbound
This paper cites Montgomery.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Montgomery
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.157189Z
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.
Observation 48e03823-54ee-4b6c-a9c3-5f0e72f9051f · outbound
This paper cites Montgomery and R.C.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Montgomery and R.C
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.139906Z
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.
Observation 06b28b88-fa47-48f4-bbf8-f99dedfd3544 · outbound
This paper cites an unresolved cited work.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Unresolved cited work
Reference 14
- Resolution
- verified exact
- raw_fallback, observed 2026-08-11T05:59:35.993428Z
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.
Observation e438273a-30ac-44ce-918d-bb7eff6d6340 · outbound
This paper cites an unresolved cited work.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:59:36.117825Z
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.
Observation da56d7bd-b30a-4f86-af02-e552c873f735 · outbound
This paper cites Shusterman.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Shusterman
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.100131Z
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.
Observation 36519211-81e0-4937-bf43-e36416d29e75 · outbound
This paper cites an unresolved cited work.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:59:36.067999Z
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.
Observation 6c444050-0503-4059-9abb-52adb2677ffe · outbound
This paper cites Tao and J.
On Shusterman's Goldbach-type problem for sign patterns of the Liouville function Tao and J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:59:36.042834Z
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.
Pith citing papers
No inbound Pith citation observations are available.