Paper Citation Record · LEDGER

Counting abelian number fields with restricted ramification type

As of 10 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 3 inbound Pith citation observations for arXiv:2507.00448.

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

pith.paper-citation-record.v1
2507.00448 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:23:40.331594Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:20:53.959211Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-08T05:04:31.270786Z

Reference resolution

30 of 30 outbound references displayed

verified exact0
verified fuzzy17
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 85c9c443-e4d0-4a0a-8535-74833c5887d1 · outbound

This paper cites A Random Group with Local Data Realizing Heuristics for Number Field Counting.

Counting abelian number fields with restricted ramification type A Random Group with Local Data Realizing Heuristics for Number Field Counting

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T21:23:36.661779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3a55e35-da9f-45ef-9436-a6e6cb01b2b8 · outbound

This paper cites Alberts and E.

Counting abelian number fields with restricted ramification type Alberts and E

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:46.800518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ce7a4c18-0286-4b91-9f5d-291a6803348a · outbound

This paper cites Inductive methods for counting number fields.

Counting abelian number fields with restricted ramification type Inductive methods for counting number fields

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T21:23:36.901365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbf40b3d-a9c5-4687-b181-922554bf6fa9 · outbound

This paper cites Bhargava,The density of discriminants of quartic rings and fields, Ann.

Counting abelian number fields with restricted ramification type Bhargava,The density of discriminants of quartic rings and fields, Ann

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:46.517435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 16394b77-3f76-4d35-8f8c-edfdab3ee872 · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:23:46.147374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 54d09927-7fee-438a-a6d5-f16b78f2408e · outbound

This paper cites of Math172 (2010), no.

Counting abelian number fields with restricted ramification type of Math172 (2010), no

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:45.818561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c24a5f1f-540e-4173-aabb-608264094266 · outbound

This paper cites Bhargava, A.

Counting abelian number fields with restricted ramification type Bhargava, A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T21:23:37.399921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 560b0ca8-59d5-4fd4-8d72-56bf74800311 · outbound

This paper cites Darda and T.

Counting abelian number fields with restricted ramification type Darda and T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:45.552474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5c20d153-f6e8-4722-8a1f-dfa348cf991e · outbound

This paper cites The Batyrev-Manin conjecture for DM stacks.

Counting abelian number fields with restricted ramification type The Batyrev-Manin conjecture for DM stacks

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T21:23:37.661529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 337e0593-a6fc-477c-b004-e7c03f88139c · outbound

This paper cites Délange,Généralisation du théorème de Ikehara, Ann.

Counting abelian number fields with restricted ramification type Délange,Généralisation du théorème de Ikehara, Ann

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:45.225534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 95c89db4-94bb-4b99-ae95-10d22e24faa1 · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:23:44.900522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 89b94b7c-15f5-41bd-92ff-f313cc42c583 · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:23:44.632218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d88bf1a0-4ce5-4811-8b29-bde8c62229ff · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:23:44.382436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 01554a80-bfb1-407d-aba4-4c4a0af77932 · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:23:44.168952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f4eff797-88d9-43fa-9391-fed21e10dbce · outbound

This paper cites Malle's conjecture with multiple invariants.

Counting abelian number fields with restricted ramification type Malle's conjecture with multiple invariants

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T21:23:38.339629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0245bc4f-aa91-4ad9-9eb6-35a8fbd2deed · outbound

This paper cites Koymans and C.

Counting abelian number fields with restricted ramification type Koymans and C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:43.892288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 674f7414-53cc-44a3-bf5b-f18f94ab984b · outbound

This paper cites Koymans and N.

Counting abelian number fields with restricted ramification type Koymans and N

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:43.601424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cc73c2a0-7045-4e5c-9698-b016a29f89cd · outbound

This paper cites Malle's conjecture and Brauer groups of stacks.

Counting abelian number fields with restricted ramification type Malle's conjecture and Brauer groups of stacks

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T21:23:38.769617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6281f9e0-2e65-413e-9e8c-ba88c35e9041 · outbound

This paper cites Malle,On the distribution of Galois groups, J.

Counting abelian number fields with restricted ramification type Malle,On the distribution of Galois groups, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:43.322111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 41073f4d-a865-4a4d-b1b3-9d08368beb64 · outbound

This paper cites II, Experiment.

Counting abelian number fields with restricted ramification type II, Experiment

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:43.026149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7cf7bb0e-a727-46ef-aaf7-bd42fc44a4f4 · outbound

This paper cites Narkiewicz,Number theory, World Scientific, 1983.

Counting abelian number fields with restricted ramification type Narkiewicz,Number theory, World Scientific, 1983

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:42.733762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 76314b69-7b1e-434e-a20c-ac1741adad7c · outbound

This paper cites Neukirch, A.

Counting abelian number fields with restricted ramification type Neukirch, A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:42.476323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0a49a4ae-cfb2-4fcf-820a-aa58ab2a78b9 · outbound

This paper cites Peyre,Hauteurs et mesures de Tamagawa sur les variétés de Fano, Duke Math.

Counting abelian number fields with restricted ramification type Peyre,Hauteurs et mesures de Tamagawa sur les variétés de Fano, Duke Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:42.223560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9f8425e8-2417-44c2-9061-0304a792d261 · outbound

This paper cites Manin's conjecture for integral points on toric varieties.

Counting abelian number fields with restricted ramification type Manin's conjecture for integral points on toric varieties

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T21:23:39.534694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf46c3bc-53fc-4957-a37b-7bf6fbc6ac91 · outbound

This paper cites Serre,Topics in Galois theory, Research Notes in Mathematics, vol.

Counting abelian number fields with restricted ramification type Serre,Topics in Galois theory, Research Notes in Mathematics, vol

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:41.936634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6949fa3a-8132-4de6-9bda-88d909d61037 · outbound

This paper cites 11, CRC Press, Boca Raton, FL, 2012.

Counting abelian number fields with restricted ramification type 11, CRC Press, Boca Raton, FL, 2012

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:41.699792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 41a8e5d0-1ae1-4159-b2f3-5879f3eb46ec · outbound

This paper cites an unresolved cited work.

Counting abelian number fields with restricted ramification type Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:23:41.502634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 14ffaba0-3a5a-41d6-885f-7fbc905b78f0 · outbound

This paper cites Wiles, Modular elliptic curves and Fermat’s last theorem, Ann.

Counting abelian number fields with restricted ramification type Wiles, Modular elliptic curves and Fermat’s last theorem, Ann

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:41.348666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 274d0a46-3360-452d-be08-30e6528374c7 · outbound

This paper cites Wood,On the probabilities of local behaviors in abelian field extensions, Compositio Math- ematica 146 (2010), no.

Counting abelian number fields with restricted ramification type Wood,On the probabilities of local behaviors in abelian field extensions, Compositio Math- ematica 146 (2010), no

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:41.121107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e1566b29-8a70-4f13-be0b-55f598cecde4 · outbound

This paper cites Wright, Distribution of discriminants of abelian extensions, Proc.

Counting abelian number fields with restricted ramification type Wright, Distribution of discriminants of abelian extensions, Proc

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:23:40.886837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation b90faca8-49af-4cc4-9ccc-63dc8346db5b · inbound

The leading constant in Malle's conjecture cites this paper.

The leading constant in Malle's conjecture Counting abelian number fields with restricted ramification type

Reference 74

Resolution: verified exact; arxiv_id, observed 2026-07-02T11:16:53.611046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5f7f3897-8b2c-4fc0-8bd4-2fb20471e503 · inbound

A refined Malle conjecture for Heisenberg groups cites this paper.

A refined Malle conjecture for Heisenberg groups Counting abelian number fields with restricted ramification type

Reference 13

Resolution: metadata mismatch; local_arxiv, observed 2026-07-08T05:04:31.272145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6cebec05-f9ad-4c55-bbff-f1eefe46fd8b · inbound

A refined Malle conjecture for Heisenberg groups cites this paper.

A refined Malle conjecture for Heisenberg groups Counting abelian number fields with restricted ramification type

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T08:20:53.959211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.