Paper Citation Record · LEDGER

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications

As of 9 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.03215.

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

pith.paper-citation-record.v1
2506.03215 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:40:55.914203Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

19 of 19 outbound references displayed

verified exact0
verified fuzzy9
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d7668dbd-d16c-4f83-a70d-a7eb30eb305d · outbound

This paper cites Alladi and P.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Alladi and P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:59.218619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a54ff2f8-827e-43cb-95e2-a1b2bbf4519c · outbound

This paper cites Billingsley.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Billingsley

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:59.165359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 60094d0b-3495-4ec5-a6a4-9041cc3d1678 · outbound

This paper cites an unresolved cited work.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:40:59.041697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9e72c36f-9474-4f0f-8cd4-35e8857d5c1b · outbound

This paper cites Erdős and M.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Erdős and M

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T11:40:23.658637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20e68457-0515-4ebe-ab32-65d5f89f2963 · outbound

This paper cites an unresolved cited work.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T11:40:24.131212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46fc4849-7024-4cfb-a951-70a61fb7e49c · outbound

This paper cites Granville and K.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Granville and K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:58.843668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 320d927c-5865-4ba4-ba0e-5e06115ff09a · outbound

This paper cites Halberstam.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Halberstam

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:58.675967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e82cd990-fd6d-40ad-9fdf-6d71cbef852d · outbound

This paper cites Halberstam.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Halberstam

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:58.622500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1af214f1-854b-4395-8642-cc6458f6c1bf · outbound

This paper cites Halberstam.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Halberstam

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:58.440274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 054bb15f-380a-44b1-96cd-7aed85f46c9a · outbound

This paper cites an unresolved cited work.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:40:58.288914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 63807ced-2604-4f83-b55e-4fa2b51149e1 · outbound

This paper cites Ivić and P.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Ivić and P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:58.150701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6c721dc0-55ee-429a-b5f9-15eb3b5d118a · outbound

This paper cites Jakimczuk and M.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Jakimczuk and M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:58.082327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 78215c62-2378-4a73-ab8b-91ea7f8840c2 · outbound

This paper cites Jakimczuk and M.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Jakimczuk and M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:57.962821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b17ee753-7ee0-44a6-a35d-7497f806949d · outbound

This paper cites Knopfmacher.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Knopfmacher

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T11:40:46.569175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c195d3c-f114-4583-97ba-20724fd91407 · outbound

This paper cites an unresolved cited work.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:40:57.829313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c24bdff9-be0d-4d33-9665-b7aaee4ac2e5 · outbound

This paper cites an unresolved cited work.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:40:57.755142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 74f201e6-ddec-46d1-9b85-9f2fb45de589 · outbound

This paper cites an unresolved cited work.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:40:57.515442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ae8d3df0-906b-43b3-b0a3-b9a30ed29198 · outbound

This paper cites an unresolved cited work.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T11:40:55.869609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9be6b1f-df0e-44f6-acff-f9721ea74994 · outbound

This paper cites an unresolved cited work.

A subset generalization of the Erd\H{o}s-Kac theorem over number fields with applications Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:40:55.995528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.