Paper Citation Record · LEDGER

Counting $D_4$-field extensions by multi-invariants

As of 8 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 5 inbound Pith citation observations for arXiv:2507.12342.

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

pith.paper-citation-record.v1
2507.12342 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:12:19.961399Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:20:53.940662Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T05:04:31.267499Z

Reference resolution

7 of 7 outbound references displayed

verified exact0
verified fuzzy3
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9b190342-979b-4fac-a2b2-7b875a89368b · outbound

This paper cites The number of quarticD 4-fields ordered by conductor.

Counting $D_4$-field extensions by multi-invariants The number of quarticD 4-fields ordered by conductor

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:20.943572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ffec4eee-4ac4-47eb-b94b-bfe00f6f1f12 · outbound

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

Counting $D_4$-field extensions by multi-invariants Malle's conjecture and Brauer groups of stacks

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T17:12:19.673713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6024c1f7-d1c8-4564-ac71-da3177bbac1d · outbound

This paper cites Malle's Conjecture for Galois octic fields over $\mathbb Q$.

Counting $D_4$-field extensions by multi-invariants Malle's Conjecture for Galois octic fields over $\mathbb Q$

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T17:12:19.961399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d6fa74b-ab52-44e6-a6c2-09d3218701cd · outbound

This paper cites A counterexample to Malle’s conjecture on the asymptotics of dis- criminants.

Counting $D_4$-field extensions by multi-invariants A counterexample to Malle’s conjecture on the asymptotics of dis- criminants

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:20.743307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4139da7a-ef8d-4d45-ae81-1145ee9c6b4f · outbound

This paper cites Ternary quadratic forms with rational zeros.

Counting $D_4$-field extensions by multi-invariants Ternary quadratic forms with rational zeros

Reference 235

Resolution: unresolved; no resolver link, observed 2026-08-06T17:12:19.272396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4df3b83-85c0-4064-82d5-7236da8e0bcf · outbound

This paper cites Counting biquadratic number fields with quaternionic and dihedral extensions.

Counting $D_4$-field extensions by multi-invariants Counting biquadratic number fields with quaternionic and dihedral extensions

Reference 2025

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T17:12:20.263189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e7bf0126-8020-47b4-9a8e-e61ca45eae2b · outbound

This paper cites Hauteurs et mesures de Tamagawa sur les variétés de Fano.

Counting $D_4$-field extensions by multi-invariants Hauteurs et mesures de Tamagawa sur les variétés de Fano

Reference 2276

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:12:20.477638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 633cbf77-d5d0-46ee-8449-2d8208f3ac82 · inbound

Non-vanishing of Artin $L$-functions associated with $D_4$-quartic function fields ordered by conductor cites this paper.

Non-vanishing of Artin $L$-functions associated with $D_4$-quartic function fields ordered by conductor Counting $D_4$-field extensions by multi-invariants

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-17T20:42:05.645439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 69d972ec-9ec5-4699-9788-0bdfaade1c5f · inbound

Counting number fields using multiple Dirichlet series cites this paper.

Counting number fields using multiple Dirichlet series Counting $D_4$-field extensions by multi-invariants

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-25T06:50:28.354615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3d747771-47c4-449f-afad-744e4fa95004 · inbound

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

The leading constant in Malle's conjecture Counting $D_4$-field extensions by multi-invariants

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-07-02T11:16:53.594617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 56c951aa-59be-4f72-99e7-9eb75e2f35f7 · inbound

A refined Malle conjecture for Heisenberg groups cites this paper.

A refined Malle conjecture for Heisenberg groups Counting $D_4$-field extensions by multi-invariants

Reference 6

Resolution: metadata mismatch; local_arxiv, observed 2026-07-08T05:04:31.269129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3ad940e5-304d-4a71-a508-7b5739022940 · inbound

A refined Malle conjecture for Heisenberg groups cites this paper.

A refined Malle conjecture for Heisenberg groups Counting $D_4$-field extensions by multi-invariants

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T08:20:53.940662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.