Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:55:49.745702Z
Paper Citation Record · LEDGER
Algorithms for the Multiplication Table Problem
As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.04251.
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 2026-08-16T06:30:59.297886+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
28 of 28 outbound references displayed
- verified exact0
- verified fuzzy16
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 88795ae8-2742-4b75-845b-ccb1beeef11b · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:50.129002Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b1b6233b-b809-43e9-aae9-94bc105411e0 · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:50.117652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 607072d8-ef02-46e6-b344-107a17964e92 · outbound
This paper cites Balazard, J.
Algorithms for the Multiplication Table Problem Balazard, J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:50.106416Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dd4052c1-206a-4120-a43d-04c90f5a44a3 · outbound
This paper cites Bernstein, Detecting perfect powers in essentially linear time , Math.
Algorithms for the Multiplication Table Problem Bernstein, Detecting perfect powers in essentially linear time , Math
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:50.094687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b31d24bb-b9b8-45c3-a656-ee5183a25fa3 · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:50.082458Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d0e43549-d6af-4178-9d21-2c5c93a5db5b · outbound
This paper cites Brent, The multiplication table, and random factored integers , slides from a semi- nar given at Hong Kong Baptist University, Hong Kong, Feb.
Algorithms for the Multiplication Table Problem Brent, The multiplication table, and random factored integers , slides from a semi- nar given at Hong Kong Baptist University, Hong Kong, Feb
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:50.070104Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a9873df9-4a01-4e52-9491-66ca8615db0d · outbound
This paper cites Brent, Algorithms for the multiplication table , slides from a seminar given at CARMA, Newcastle, NSW, May 29, 2018.
Algorithms for the Multiplication Table Problem Brent, Algorithms for the multiplication table , slides from a seminar given at CARMA, Newcastle, NSW, May 29, 2018
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:50.056594Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 78602a25-15cf-48e4-909e-5c9e4d39201b · outbound
This paper cites Brent and H.
Algorithms for the Multiplication Table Problem Brent and H
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:50.043896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8ba64c94-f08f-4667-8a2f-4aed300644d3 · outbound
This paper cites Burthe, Jr., Further investigations with the strong probable prime test , Math.
Algorithms for the Multiplication Table Problem Burthe, Jr., Further investigations with the strong probable prime test , Math
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:50.030698Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bb3f0efb-4160-4ac5-a1ae-63cfe917651f · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:50.018382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1d1c0d35-28a8-4b42-a896-00399c6bac5a · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:50.005951Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 71bbe7dc-2ada-4464-9962-1ddc7f77108c · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:49.991367Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c760aec2-c1f0-47e1-a810-f52db644f327 · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:49.978741Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f60ccc8e-69fa-4405-89b8-64f1e8cb07b3 · outbound
This paper cites Tenenbaum, Sur la structure de la suite des diviseurs d’un entier , Ann.
Algorithms for the Multiplication Table Problem Tenenbaum, Sur la structure de la suite des diviseurs d’un entier , Ann
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:49.964947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7e82640b-5c18-444c-9f7c-061a34126a97 · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:49.950926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aefbabcb-0c7e-4178-81bc-7ac39a9694ad · outbound
This paper cites Lecture Notes, vol.
Algorithms for the Multiplication Table Problem Lecture Notes, vol
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:49.938763Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 31c88153-6b48-4adb-a581-1fb215f5a22e · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:49.925615Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7ce6d2a3-15d4-4be3-a9b3-2d00e65c5ae2 · outbound
This paper cites Helfgott, An improved sieve of Eratosthenes , Math.
Algorithms for the Multiplication Table Problem Helfgott, An improved sieve of Eratosthenes , Math
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:49.910966Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0f224f63-ae00-48d7-b069-960922e53457 · outbound
This paper cites Hennessy and David A.
Algorithms for the Multiplication Table Problem Hennessy and David A
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:49.899050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d24212ef-28f4-42cd-8ddf-0c87ff8c8503 · outbound
This paper cites Cryptology 16 (2003), 287–289.
Algorithms for the Multiplication Table Problem Cryptology 16 (2003), 287–289
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:49.887143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 78b49dcb-c166-4756-ac86-06be0a107996 · outbound
This paper cites Khinchin, ¨Uber einen Satz der Wahrscheinlichkeitsrechnung , Fundamenta Mathematicae 6 (1924), 9–20 (in German).
Algorithms for the Multiplication Table Problem Khinchin, ¨Uber einen Satz der Wahrscheinlichkeitsrechnung , Fundamenta Mathematicae 6 (1924), 9–20 (in German)
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:49.875800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fe3fc0b0-69ae-4292-8193-b773d7de3c83 · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:49.863963Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aee8ce9c-6403-4f41-abff-cbca25163947 · outbound
This paper cites Lichtman and Carl Pomerance, Improved error bounds for the Fermat primality test on random inputs , Math.
Algorithms for the Multiplication Table Problem Lichtman and Carl Pomerance, Improved error bounds for the Fermat primality test on random inputs , Math
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:49.850129Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dbf041db-7372-4d2d-a43f-ee49b336284a · outbound
This paper cites Miller, Riemann ’s hypothesis and tests for primality, J.
Algorithms for the Multiplication Table Problem Miller, Riemann ’s hypothesis and tests for primality, J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:49.836410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aa319a8d-309f-4ca1-8c25-2ea36db55816 · outbound
This paper cites Norton On the number of restricted prime factors of an integer, I , Illinois J.
Algorithms for the Multiplication Table Problem Norton On the number of restricted prime factors of an integer, I , Illinois J
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:49.822096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 00fc04f6-6991-4fb8-9627-d0ddb9117260 · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:49.807594Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 272766f0-8c50-43df-b562-2c9fe1388568 · outbound
This paper cites an unresolved cited work.
Algorithms for the Multiplication Table Problem Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:55:49.794111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d4c4fd54-939c-4b9a-a15a-db9a853af72e · outbound
This paper cites Rabin, Probabilistic algorithm for testing primality , J.
Algorithms for the Multiplication Table Problem Rabin, Probabilistic algorithm for testing primality , J
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:55:49.780496Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.