Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-15T08:12:32.365285Z
Paper Citation Record · LEDGER
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races
As of 11 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2603.20093.
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
40 of 40 outbound references displayed
- verified exact4
- verified fuzzy23
- unresolved13
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 69f9535a-9092-425e-abc0-489b371fe1d4 · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.374062Z
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 0c57b8ff-6425-4f62-ba03-c38b94f4f2f6 · outbound
This paper cites Bailleul,Explicit Kronecker-Weyl theorems and applications to prime number races, Res.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Bailleul,Explicit Kronecker-Weyl theorems and applications to prime number races, Res
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.382338Z
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 daa37865-fe0c-46a6-83d1-5316844332b1 · outbound
This paper cites Bailleul, M.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Bailleul, M
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.371488Z
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 037dfc29-f654-47ae-bceb-3ab0f9afe443 · outbound
This paper cites Bays and R.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Bays and R
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.362913Z
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 03a46e33-59a2-4b0f-9d24-4a386d5392f5 · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.365063Z
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 2bc568c6-7b7d-4ccb-b6a4-62a03d1bb18e · outbound
This paper cites Borda,Equidistribution of random walks on compact groups.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Borda,Equidistribution of random walks on compact groups
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.385194Z
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 d6ed1888-5d32-4d7c-9b2b-57ae53fc531b · outbound
This paper cites Borda and J-C.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Borda and J-C
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T08:15:16.882515Z
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 8eacabe3-12dc-42b5-a39f-988aa68cbabb · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.366993Z
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 373792f4-3495-4057-88c6-cff153447316 · outbound
This paper cites Bugeaud,Exponents of diophantine approximation, Dynamics and analytic number theory437 (2016), 96–135.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Bugeaud,Exponents of diophantine approximation, Dynamics and analytic number theory437 (2016), 96–135
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.369290Z
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 a9bde686-889c-462f-8bee-f929d9c3e52d · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.379533Z
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 cbddf45f-ddef-46cd-b787-200841d79fae · outbound
This paper cites Comput.87(2018), no.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Comput.87(2018), no
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.376925Z
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 9e3eddec-a9da-43bf-9ee5-573bcb9ac7a6 · outbound
This paper cites Fiorilli,Highly biased prime number races, Algebra Number Theory8(2014), no.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Fiorilli,Highly biased prime number races, Algebra Number Theory8(2014), no
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.388256Z
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 79044958-3d17-4b6d-94bc-d28e0293107a · outbound
This paper cites Fiorilli and F.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Fiorilli and F
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.397634Z
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 d8ee0d8d-b703-40ca-9952-658c4cec126e · outbound
This paper cites Fiorilli and G.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Fiorilli and G
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.406855Z
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 dc3ff660-cf7b-49de-a3e1-c2dfad6d77f1 · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.431287Z
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 d1c71564-e39b-4671-86cd-6bae6c8363d0 · outbound
This paper cites Graham,Irregularity of distribution in Wasserstein distance, J.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Graham,Irregularity of distribution in Wasserstein distance, J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.425934Z
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 6cfc6513-028a-4699-a8a8-c976ce6bd511 · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.394454Z
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 97bd2b9f-8447-4f6d-8ebc-9f9601e3c375 · outbound
This paper cites Hooley,On the Barban-Davenport-Halberstam theorem.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Hooley,On the Barban-Davenport-Halberstam theorem
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.423127Z
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 1e9d7f78-5caa-4113-a5a4-2a98f7324bdd · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.446795Z
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 2094bc4f-5f24-45e7-8438-665fa1fb7570 · outbound
This paper cites Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields
Reference 20
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T08:15:16.893830Z
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 22509fb7-aab3-45c2-8609-38bead516614 · outbound
This paper cites An effective Linear Independence conjecture for the zeros of the Riemann zeta function and applications.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races An effective Linear Independence conjecture for the zeros of the Riemann zeta function and applications
Reference 21
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T08:15:16.886459Z
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 34a7d186-d05c-4877-b1f9-593a8dded272 · outbound
This paper cites Lang,Elliptic curves: Diophantine analysis, Grundlehren der Mathematischen Wissenschaften, vol.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Lang,Elliptic curves: Diophantine analysis, Grundlehren der Mathematischen Wissenschaften, vol
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.404107Z
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 97a35dcd-6fa6-401d-85b3-2d05f86532b0 · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.391469Z
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 ce01dd9a-ac2d-454e-8f75-aa5524bb88da · outbound
This paper cites Math.490(2026), Paper No.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Math.490(2026), Paper No
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.401030Z
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 e7fefc4a-dd79-4536-97d7-d05c9ef26da2 · outbound
This paper cites Li and M.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Li and M
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.417474Z
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 228308b8-8fa9-478e-ac8f-f6f8f18258c6 · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.420066Z
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 efc262f8-c5ee-4b3f-b7a8-2ca61b755528 · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.450074Z
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 aeb01108-9b44-4dc3-8f40-8bed20e72e24 · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.411240Z
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 0fdc7067-ce66-40af-93d7-22dc5da57688 · outbound
This paper cites Montgomery,Topics in multiplicative number theory, Lecture Notes in Mathematics, vol.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Montgomery,Topics in multiplicative number theory, Lecture Notes in Mathematics, vol
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.414419Z
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 99e2bc74-677b-49eb-bfa5-fcbc5cb2fcbe · outbound
This paper cites Prime Number Error Terms.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Prime Number Error Terms
Reference 30
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T08:15:16.890146Z
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 5e35900c-1315-483f-ac5d-06d69da055e9 · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.462578Z
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 fb967892-8034-41f5-a001-e5ffb041e5f4 · outbound
This paper cites Rubinstein and P.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Rubinstein and P
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.456413Z
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 7c348672-4652-4f65-a99f-01366515cd1d · outbound
This paper cites Nachr.3 (1949), 7–8.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Nachr.3 (1949), 7–8
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.453018Z
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 6b17402f-1bd2-4ec4-8b7b-5a849c1ab77d · outbound
This paper cites Schlage-Puchta,Sign changes ofπ(x, q,1)−π(x, q, a), Acta Math.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Schlage-Puchta,Sign changes ofπ(x, q,1)−π(x, q, a), Acta Math
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.459429Z
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 6b8de69c-6146-42cb-89f9-ac6793423716 · outbound
This paper cites Skewes,On the differenceπ(x)−li (x)(I), J.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Skewes,On the differenceπ(x)−li (x)(I), J
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.465417Z
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 b6be0817-ae77-4072-927c-442fd6cef2eb · outbound
This paper cites II, Proc.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races II, Proc
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.440760Z
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 90edcbf6-c182-4da6-b03a-643ae1261138 · outbound
This paper cites an unresolved cited work.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-05-15T08:15:17.437683Z
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 1b50d8f3-ec34-4d86-a97c-8563e8aadb5f · outbound
This paper cites Villani,Topics in optimal transportation, Graduate Studies in Mathematics, vol.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Villani,Topics in optimal transportation, Graduate Studies in Mathematics, vol
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.434497Z
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 198e816a-e93b-4daf-865b-5d4bcf531b27 · outbound
This paper cites Old and new, Grundlehren Math.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Old and new, Grundlehren Math
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.428835Z
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 121bb302-cfcd-48c3-bd21-c2afa7578e5e · outbound
This paper cites Wintner,On the Asymptotic Distribution of the Remainder Term of the Prime-Number Theorem, Amer.
A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Wintner,On the Asymptotic Distribution of the Remainder Term of the Prime-Number Theorem, Amer
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-15T08:15:17.444004Z
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.