Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T11:20:49.578284Z
Paper Citation Record · LEDGER
Almost primes and primes that are sums of two squares plus one
As of 11 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2501.16723.
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 2026-08-11T06:34:44.6726+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
26 of 26 outbound references displayed
- verified exact0
- verified fuzzy19
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 89ccfa25-3066-4cf6-8bbb-3047b0da892f · outbound
This paper cites Cai, Almost prime triples and Chen’s theorem.
Almost primes and primes that are sums of two squares plus one Cai, Almost prime triples and Chen’s theorem
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:50.018435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3373eded-b4d4-4f99-84ec-f6c6bd46f929 · outbound
This paper cites an unresolved cited work.
Almost primes and primes that are sums of two squares plus one Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T11:20:50.002007Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c039f92d-b7cc-4a37-9ee0-9002b23ad1b8 · outbound
This paper cites an unresolved cited work.
Almost primes and primes that are sums of two squares plus one Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T11:20:49.983736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b7b657fe-340e-4b41-bbbc-d92381d96c44 · outbound
This paper cites Friedlander and H.
Almost primes and primes that are sums of two squares plus one Friedlander and H
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.968421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6cd60527-d385-4cbe-b241-823a95036d2d · outbound
This paper cites an unresolved cited work.
Almost primes and primes that are sums of two squares plus one Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T11:20:49.953504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ded5eb36-d9cc-46dd-8fc0-9b7fd07c8b3d · outbound
This paper cites Halberstam and H.-E.
Almost primes and primes that are sums of two squares plus one Halberstam and H.-E
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.938090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b597d3a5-48d7-43d3-bf5e-3cab604d4289 · outbound
This paper cites Harman, Prime-detecting sieves.
Almost primes and primes that are sums of two squares plus one Harman, Prime-detecting sieves
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.922626Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 128e1cc8-2615-44a7-b709-857223216f2a · outbound
This paper cites Heath-Brown and X.
Almost primes and primes that are sums of two squares plus one Heath-Brown and X
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.906338Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d7154934-e9ee-4243-a01a-07a32503e993 · outbound
This paper cites an unresolved cited work.
Almost primes and primes that are sums of two squares plus one Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T11:20:49.890036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4747ded0-0620-4c4f-9ff2-cd59caeae84d · outbound
This paper cites Iwaniec, Primes of the type φ (x, y ) +a where φ is a quadratic form.
Almost primes and primes that are sums of two squares plus one Iwaniec, Primes of the type φ (x, y ) +a where φ is a quadratic form
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.874719Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 771687dd-7503-4e93-95e9-45c91cf23c97 · outbound
This paper cites Iwaniec, The half dimensional sieve.
Almost primes and primes that are sums of two squares plus one Iwaniec, The half dimensional sieve
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.858379Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 76ec231f-6a03-4e14-ba55-40338ed41b66 · outbound
This paper cites an unresolved cited work.
Almost primes and primes that are sums of two squares plus one Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T11:20:49.842708Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9de45588-e8ee-4c43-834a-b7887c44f7aa · outbound
This paper cites Martin, An asymptotic formula for the number of smooth values of a pol ynomial.
Almost primes and primes that are sums of two squares plus one Martin, An asymptotic formula for the number of smooth values of a pol ynomial
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.826646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7b939771-b8d8-464a-9ee1-90466d77e3ea · outbound
This paper cites Matom¨ aki,Prime numbers of the form p = m2 + n2 + 1 in short intervals.
Almost primes and primes that are sums of two squares plus one Matom¨ aki,Prime numbers of the form p = m2 + n2 + 1 in short intervals
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.811283Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ae29a31d-bec7-4e56-acda-681a750a0a0c · outbound
This paper cites Matom¨ aki, M.
Almost primes and primes that are sums of two squares plus one Matom¨ aki, M
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.795645Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 77548978-daa7-4458-be70-1eeca8aa7a3d · outbound
This paper cites Maynard, Small gaps between primes , Ann.
Almost primes and primes that are sums of two squares plus one Maynard, Small gaps between primes , Ann
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.779956Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2c933876-eb41-41d8-ade1-833aaf211014 · outbound
This paper cites Motohashi, On the distribution of prime numbers which are of the form x2 + y2 + 1.
Almost primes and primes that are sums of two squares plus one Motohashi, On the distribution of prime numbers which are of the form x2 + y2 + 1
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.764222Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 96df833c-ae6a-4e12-a499-ac28993940db · outbound
This paper cites x2 + y2 + 1.
Almost primes and primes that are sums of two squares plus one x2 + y2 + 1
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.747052Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8722d6dd-ccd4-406a-b48a-f5fb2297b837 · outbound
This paper cites Nath, Primes with a missing digit: distribution in arithmetic pro gressions and an application in sieve theory.
Almost primes and primes that are sums of two squares plus one Nath, Primes with a missing digit: distribution in arithmetic pro gressions and an application in sieve theory
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.730866Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 262d47f9-1e90-4046-b8d4-ef3f2758075b · outbound
This paper cites an unresolved cited work.
Almost primes and primes that are sums of two squares plus one Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T11:20:49.714915Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c9a00227-c161-44dd-8284-c3fcc006168b · outbound
This paper cites an unresolved cited work.
Almost primes and primes that are sums of two squares plus one Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T11:20:49.699203Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6332339c-a3fb-4bcf-936e-dbd03f23d441 · outbound
This paper cites Wirsing, Das asymptotische Verhalten von Summen ¨ uber multiplikati ve Funktionen.
Almost primes and primes that are sums of two squares plus one Wirsing, Das asymptotische Verhalten von Summen ¨ uber multiplikati ve Funktionen
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.682387Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 616141b2-83fc-42bf-9be4-be16d459f443 · outbound
This paper cites Ter¨ av¨ ainen,The Goldbach problem for primes that are sums of two squares p lus one.
Almost primes and primes that are sums of two squares plus one Ter¨ av¨ ainen,The Goldbach problem for primes that are sums of two squares p lus one
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.666399Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e3fdf199-a088-4a60-aea4-fdb8b18ed39d · outbound
This paper cites Wu, Primes of the form p = 1 + m2 + n2 in short intervals.
Almost primes and primes that are sums of two squares plus one Wu, Primes of the form p = 1 + m2 + n2 in short intervals
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.649287Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 87ee3b5e-b2c3-4e85-9877-9a0ed2bbfac9 · outbound
This paper cites Zhang, Bounded gaps between primes.
Almost primes and primes that are sums of two squares plus one Zhang, Bounded gaps between primes
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.632682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bc3805e8-a4e3-4a1a-9949-e5daa0318272 · outbound
This paper cites Zhu, Almost prime triples and Chen’s theorem.
Almost primes and primes that are sums of two squares plus one Zhu, Almost prime triples and Chen’s theorem
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T11:20:49.616343Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
No inbound Pith citation observations are available.