Paper Citation Record · LEDGER

The Landau function and the Riemann Hypothesis

As of 19 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1907.07664.

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

pith.paper-citation-record.v1
1907.07664 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T20:08:07.174172Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

27 of 27 outbound references displayed

verified exact1
verified fuzzy17
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1c58a500-a87d-4d5f-b595-6f78db2cca50 · outbound

This paper cites Abramowitz and I.

The Landau function and the Riemann Hypothesis Abramowitz and I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.576065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d49cd869-7236-4910-8a4f-9d6e995de82d · outbound

This paper cites New bounds for the sum of the first $n$ prime numbers.

The Landau function and the Riemann Hypothesis New bounds for the sum of the first $n$ prime numbers

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-24T20:09:52.804878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fe08be87-ce4f-426f-bd75-d0c40b525d81 · outbound

This paper cites an unresolved cited work.

The Landau function and the Riemann Hypothesis Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-24T20:09:53.565497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 29a70131-a61f-47b2-babf-04494b87f22c · outbound

This paper cites Broughan.

The Landau function and the Riemann Hypothesis Broughan

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.572534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f7e11a52-dbe9-4f46-b850-860968b1f451 · outbound

This paper cites an unresolved cited work.

The Landau function and the Riemann Hypothesis Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-24T20:09:53.592831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5dc794c6-e81c-4132-b68a-4f203424e638 · outbound

This paper cites an unresolved cited work.

The Landau function and the Riemann Hypothesis Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-05-24T20:09:53.562004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3ac8a79e-8b3e-44ca-abb7-338195a4dcfa · outbound

This paper cites Deléglise and J.-L.

The Landau function and the Riemann Hypothesis Deléglise and J.-L

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.555188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3e578629-6d12-447f-b651-bd35a7392f39 · outbound

This paper cites Maximal product of primes whose sum is bounded, Proc.

The Landau function and the Riemann Hypothesis Maximal product of primes whose sum is bounded, Proc

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.624933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4d7644c4-7b90-46bb-8f49-f37781682f6f · outbound

This paper cites On the Largest Pr oduct of Primes with bounded sums, J.

The Landau function and the Riemann Hypothesis On the Largest Pr oduct of Primes with bounded sums, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.606892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4cdb4749-e26b-4003-82c4-9480dd28a349 · outbound

This paper cites An arithmetic e quivalence to the Riemann hypothesis, J.

The Landau function and the Riemann Hypothesis An arithmetic e quivalence to the Riemann hypothesis, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.582447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e422e23d-f6c9-437d-8d48-1381a1a4dcce · outbound

This paper cites Landau’s func- tion for one million billions, J.

The Landau function and the Riemann Hypothesis Landau’s func- tion for one million billions, J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.579196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 736dd493-3205-430b-8581-d990ad5c510a · outbound

This paper cites an unresolved cited work.

The Landau function and the Riemann Hypothesis Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-24T20:09:53.569167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e3db40c3-8b8a-4fb1-b6a1-fbfea2509d0d · outbound

This paper cites an unresolved cited work.

The Landau function and the Riemann Hypothesis Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-24T20:09:53.558514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6c896286-949c-45d8-8d51-034a5c78def1 · outbound

This paper cites Massias and G.

The Landau function and the Riemann Hypothesis Massias and G

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.551360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b0550571-0459-443b-a0b6-14fe6c7d2617 · outbound

This paper cites Massias, J.-L.

The Landau function and the Riemann Hypothesis Massias, J.-L

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.548089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b3ae1beb-10ea-4553-8b6b-6ddd7e8f4671 · outbound

This paper cites Majoration explicite de l’ordre maximum d’un élément du groupe symétrique, Ann.

The Landau function and the Riemann Hypothesis Majoration explicite de l’ordre maximum d’un élément du groupe symétrique, Ann

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.636239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fef8c7e1-69cd-4fb5-8eda-79d58a3f08d7 · outbound

This paper cites Eﬀective bounds for the maximal order of an element in the symmetric group, Math.

The Landau function and the Riemann Hypothesis Eﬀective bounds for the maximal order of an element in the symmetric group, Math

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.628875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 507b5493-0a06-40d9-82dc-46222aad935c · outbound

This paper cites Miller, The Maximal Order of an Element of a Finite Sym metric Group.

The Landau function and the Riemann Hypothesis Miller, The Maximal Order of an Element of a Finite Sym metric Group

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.613917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 01de8af0-2268-4469-aee8-822b681dff3b · outbound

This paper cites an unresolved cited work.

The Landau function and the Riemann Hypothesis Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-05-24T20:09:53.603446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7f298dd3-f95d-4327-9adf-247e5dcd2497 · outbound

This paper cites Nicolas, On Landau’s function /u1D454( /u1D45B).

The Landau function and the Riemann Hypothesis Nicolas, On Landau’s function /u1D454( /u1D45B)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.596284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 925c3fd2-19de-4419-8cc5-5a52ebc2eb8c · outbound

This paper cites an unresolved cited work.

The Landau function and the Riemann Hypothesis Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-24T20:09:53.599851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fc4d585d-5319-46b6-b2ba-fae8a976bb6b · outbound

This paper cites Ramanujan.

The Landau function and the Riemann Hypothesis Ramanujan

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.610139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8186d56c-69b9-4189-89c6-20c823730549 · outbound

This paper cites an unresolved cited work.

The Landau function and the Riemann Hypothesis Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-24T20:09:53.621232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 81122c57-690b-444b-9f05-41602ee9d72e · outbound

This paper cites Barkley Rosser and Lowell Schoenfeld, Approximate f ormulas for some functions of prime numbers, Illinois J.

The Landau function and the Riemann Hypothesis Barkley Rosser and Lowell Schoenfeld, Approximate f ormulas for some functions of prime numbers, Illinois J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.589643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0ca42774-ca36-4a15-9280-784e3d41bd17 · outbound

This paper cites an unresolved cited work.

The Landau function and the Riemann Hypothesis Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-05-24T20:09:53.617538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b9b1f973-1731-4b68-9c6a-613284d77804 · outbound

This paper cites Schoenfeld.

The Landau function and the Riemann Hypothesis Schoenfeld

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.585779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7bc31ded-6c09-4568-abd5-97edc0445c2e · outbound

This paper cites Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5208 Institut Camille Jordan, Mathématiques, Bât.

The Landau function and the Riemann Hypothesis Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5208 Institut Camille Jordan, Mathématiques, Bât

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T20:09:53.632578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.