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Paper Citation Record · LEDGER

The geometry of secondary terms in arithmetic statistics

As of 18 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2504.17909.

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

pith.paper-citation-record.v1
2504.17909 v1

Coverage vector

measured 31 of 31 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-16T10:51:27.061304Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:40:48.893563Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-16T12:40:49.135259Z

Reference resolution

31 of 31 outbound references displayed

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Outbound references

Observation 3c136017-9e3c-4826-bd85-0387937d5f82 · outbound

This paper cites The distribution of class groups of function fields.

The geometry of secondary terms in arithmetic statistics The distribution of class groups of function fields

Reference 1

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Observation 9f5e0646-7b26-4a5d-8ecc-30b522473bf9 · outbound

This paper cites On the Davenport-Heilbronn theorems and second order terms.

The geometry of secondary terms in arithmetic statistics On the Davenport-Heilbronn theorems and second order terms

Reference 2

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Observation 58836100-95ef-43fa-8d14-fc4192285dd9 · outbound

This paper cites Covers of algebraic varieties. I. A general structure theorem, covers of degree 3 , 4 and Enriques surfaces.

The geometry of secondary terms in arithmetic statistics Covers of algebraic varieties. I. A general structure theorem, covers of degree 3 , 4 and Enriques surfaces

Reference 3

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Observation 5b84432d-fd49-4694-a6c8-6772644c3179 · outbound

This paper cites Density of discriminants of cubic extensions.

The geometry of secondary terms in arithmetic statistics Density of discriminants of cubic extensions

Reference 4

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Observation 218fbc68-337f-440e-a495-156ad6b79508 · outbound

This paper cites On the density of discriminants of cubic fields. II.

The geometry of secondary terms in arithmetic statistics On the density of discriminants of cubic fields. II

Reference 5

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Observation 4ce57bca-7e4c-4a82-a799-90f1d06dfc4b · outbound

This paper cites Letter to W.T.

The geometry of secondary terms in arithmetic statistics Letter to W.T

Reference 6

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Observation 0ff9c284-0d57-493f-9dc5-e61e05d4ea52 · outbound

This paper cites Theory of Irrationalities of Third Degree.

The geometry of secondary terms in arithmetic statistics Theory of Irrationalities of Third Degree

Reference 7

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Observation 85891d95-a633-4501-941d-aeae6b0d7e22 · outbound

This paper cites ´El´ ements de g´ eom´ etrie alg´ ebrique.

The geometry of secondary terms in arithmetic statistics ´El´ ements de g´ eom´ etrie alg´ ebrique

Reference 8

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Observation 71e4f79e-23b0-4970-b1d6-cd81cfe40fcc · outbound

This paper cites Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields.

The geometry of secondary terms in arithmetic statistics Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields

Reference 9

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Observation 34b127e4-efff-4a59-8b62-5ab9bee5935a · outbound

This paper cites Semiample Bertini theorems over finite fields.

The geometry of secondary terms in arithmetic statistics Semiample Bertini theorems over finite fields

Reference 10

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Observation 3ba02e1d-eec0-41fd-9416-0697f0fcfb49 · outbound

This paper cites Fourier coefficients of modular forms on G2.

The geometry of secondary terms in arithmetic statistics Fourier coefficients of modular forms on G2

Reference 11

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Observation 988413bc-8df8-4bca-b0c3-090e472a7b01 · outbound

This paper cites Counting Rational Points, Integral Points, Fields, and Hypersurfaces.

The geometry of secondary terms in arithmetic statistics Counting Rational Points, Integral Points, Fields, and Hypersurfaces

Reference 12

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Observation 239585c0-d07d-49df-b060-e65c960c9fd0 · outbound

This paper cites Anticanonical rational surfaces.

The geometry of secondary terms in arithmetic statistics Anticanonical rational surfaces

Reference 13

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Observation c8026471-c1bb-46e0-a9eb-57ae5b6c1ba6 · outbound

This paper cites Algebraic geometry.

The geometry of secondary terms in arithmetic statistics Algebraic geometry

Reference 14

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Observation af0c9766-6fef-4b17-b8b9-aed03fe9ba1a · outbound

This paper cites Homological stability for Hurwitz spaces and applications.

The geometry of secondary terms in arithmetic statistics Homological stability for Hurwitz spaces and applications

Reference 15

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Observation 3f60a3d4-20c8-4f75-af37-ab2f38869f91 · outbound

This paper cites The Cohen–Lenstra moments over function fields via the stable homology of non-splitting Hurwitz spaces.

The geometry of secondary terms in arithmetic statistics The Cohen–Lenstra moments over function fields via the stable homology of non-splitting Hurwitz spaces

Reference 16

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Observation 74a52458-5f80-4b25-8605-90f64353c8a6 · outbound

This paper cites Low-degree Hurwitz stacks in the Grothendieck ring.

The geometry of secondary terms in arithmetic statistics Low-degree Hurwitz stacks in the Grothendieck ring

Reference 17

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correction dated 2026-04-25. Source: crossref record 10.1112/s0010437x26102991->10.1112/s0010437x24007206:correction, observed 2026-07-11T03:06:51.773302+00:00. This notice travels one citation hop only.

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This paper cites KubischeZahlk¨ orper und bin¨ are kubische Formenklassen, journal = Ber. d. S¨ achsischen Ges. d. Wiss., Math.-Phys. Klasse, Bd. 66.

The geometry of secondary terms in arithmetic statistics KubischeZahlk¨ orper und bin¨ are kubische Formenklassen, journal = Ber. d. S¨ achsischen Ges. d. Wiss., Math.-Phys. Klasse, Bd. 66

Reference 18

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The geometry of secondary terms in arithmetic statistics Triple covers in algebraic geometry

Reference 19

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The geometry of secondary terms in arithmetic statistics The moduli space of commutative algebras of finite rank

Reference 20

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This paper cites Density of cubic field discriminants.

The geometry of secondary terms in arithmetic statistics Density of cubic field discriminants

Reference 21

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Observation 83d3ab98-f0eb-44e4-8ca3-bca153961b38 · outbound

This paper cites Secondary terms in the first moment of $|{\rm Sel}_2(E)|$.

The geometry of secondary terms in arithmetic statistics Secondary terms in the first moment of $|{\rm Sel}_2(E)|$

Reference 22

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This paper cites Secondary terms in the counting functions of quartic fields.

The geometry of secondary terms in arithmetic statistics Secondary terms in the counting functions of quartic fields

Reference 23

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The geometry of secondary terms in arithmetic statistics The Stacks project

Reference 24

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The geometry of secondary terms in arithmetic statistics Secondary terms in counting functions for cubic fields

Reference 25

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This paper cites Secondary Term of Asymptotic Distribution of $S_3\times A$ Extensions over $\mathbb{Q}$.

The geometry of secondary terms in arithmetic statistics Secondary Term of Asymptotic Distribution of $S_3\times A$ Extensions over $\mathbb{Q}$

Reference 26

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The geometry of secondary terms in arithmetic statistics Parametrizing quartic algebras over an arbitrary base

Reference 27

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The geometry of secondary terms in arithmetic statistics Unresolved cited work

Reference 28

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The geometry of secondary terms in arithmetic statistics On sieve methods for varieties over finite fields

Reference 29

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Observation 9877bf63-dced-4700-b849-b23da53b050e · outbound

This paper cites doi: 10.1090/S0002-9947-97-01722-4.

The geometry of secondary terms in arithmetic statistics doi: 10.1090/S0002-9947-97-01722-4

Reference 1208

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This paper cites doi: 10.1090/S0025-5718-00-01291-6.

The geometry of secondary terms in arithmetic statistics doi: 10.1090/S0025-5718-00-01291-6

Reference 1705

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Pith citing papers

Observation ea6fbffe-b2bf-4650-9eef-4cc2fa335bad · inbound

On the counting function of cubic function fields cites this paper.

On the counting function of cubic function fields The geometry of secondary terms in arithmetic statistics

Reference 15

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