Pith. sign in

Paper Citation Record · LEDGER

The geometry of secondary terms in arithmetic statistics

As of 22 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

Typed states for the displayed outbound observations.

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

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

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

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

Reference resolution

31 of 31 outbound references displayed

  • verified exact7
  • verified fuzzy10
  • unresolved12
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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

Resolution
unresolved
no resolver link, observed 2026-08-16T10:51:26.932872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:26.932872Z digest=sha256:47515c3060e17ba2d503070f13ca280ae7db7d6fb6b713d31f56a06c3b52e6f0

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

Resolution
verified exact
doi, observed 2026-08-16T10:51:27.212673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:26.938412Z digest=sha256:47b2042370725e3ffb0e8725783bfffd5bbf41ada1cde338b99631ee527a2e4f

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:51:27.577225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:26.942435Z digest=sha256:c4f0d86bb84449d7aaebdbb7ca156f0b37a493aa1fe0e9be92991e144d20c932

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

Resolution
verified exact
doi, observed 2026-08-16T10:51:27.196538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:26.948164Z digest=sha256:f54503ad70b6a96e6221885efae10f97ccaa72adc031049ee387c1c66f82ab34

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

Resolution
malformed identifier
no resolver link, observed 2026-08-16T10:51:26.952296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:26.952296Z digest=sha256:e5ddd52fa714d45b17bfcd9f63b06d6d15b68b1c78ae7f1821a777d218beadde

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:51:27.565063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:26.956033Z digest=sha256:f7c5e13b6efcc5a5c3a11bb0c5508ed1509183bf287ff9c69e44b29598594bef

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:51:27.551754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:26.961676Z digest=sha256:7f8b16a97da89474aa3fe9a7f5e7b2450db1ec9ffb8acf50cffb364e43d08b33

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:51:27.539660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:26.966039Z digest=sha256:e2c107578561ccc9efdd968711718e1d0e9b3d653f5fcdfd454e8f57946f2523

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

Resolution
unresolved
no resolver link, observed 2026-08-16T10:51:26.969963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:26.969963Z digest=sha256:58ae013080c8126bd76c2ce7273204470a1956d7acdd6a999e27f679650765c6

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

Resolution
unresolved
no resolver link, observed 2026-08-16T10:51:26.974126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:26.974126Z digest=sha256:c6cbe65e41610b6d58f32f9f6f8f392df2fbebee751a7e266a7870efd981bc09

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

Resolution
malformed identifier
doi_truncated, observed 2026-08-16T10:51:27.170087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:26.979659Z digest=sha256:59944b6a200dbed56be6bcccb24083c7fff3dd3904bda94f000e80c618f2898b

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:51:27.526264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:26.983953Z digest=sha256:9db9310367551a976d9fbadf70db42252d88c08e0ef563206d59a43db2c8be69

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:51:27.514100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:26.987518Z digest=sha256:31ef4d6532305b8ac4a0837c0273c799f348b2ccf15826ab10b71f4fed9e6bb8

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

This paper cites Algebraic geometry.

The geometry of secondary terms in arithmetic statistics Algebraic geometry

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:51:27.499735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:26.995705Z digest=sha256:575f1c0d06beb39448aa06e67b34c3d63aac0d3d9e4c291425d17ae2a547c09f

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

Resolution
unresolved
no resolver link, observed 2026-08-16T10:51:27.000440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:27.000440Z digest=sha256:1066b49e43a974179377c4512628fec48aaeadfb763d9147c0be17bce49ea3d2

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

Resolution
unresolved
no resolver link, observed 2026-08-16T10:51:27.004068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:27.004068Z digest=sha256:9f1df0304ec8e17e8508cd02b0f84807cd3ac19336cd4ebaa84008e777fb735b

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

Resolution
verified exact
doi, observed 2026-08-16T10:51:27.150884Z

Source-reported events for the cited work

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.

source=pdf_text observed=2026-08-16T10:51:27.008235Z digest=sha256:e0a0ba55bc45f1fbd954f178c0f30616e9efbb3d4a1da6ceb77118d624f9d679

Observation 17eaad41-51da-4017-aa46-efb0838fc44a · outbound

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:51:27.486670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:27.011950Z digest=sha256:12b4f04b34c97722b7462546fd92095668d943fa3e951fd49faa6e2395607140

Observation 1e87c1b2-f9a5-4f2e-8c7f-7e4543b7a6dd · outbound

This paper cites Triple covers in algebraic geometry.

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

Reference 19

Resolution
verified exact
doi, observed 2026-08-16T10:51:27.138058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:27.016619Z digest=sha256:57f98c7dbf6231d901f1bfd614f614c6b21ba03006b4ac8c26efaa63372779b3

Observation 3e172594-669e-4bb1-aaf3-1a228893f8cc · outbound

This paper cites The moduli space of commutative algebras of finite rank.

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

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-16T10:51:27.020333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:27.020333Z digest=sha256:6772e95a3fea323bdf01fd6cfbcddf5f7647a5f357014c0629c8358cb601fc3e

Observation 38a07c51-d2c6-4666-bb81-c518d3c7bf7d · outbound

This paper cites Density of cubic field discriminants.

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

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:51:27.475126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:27.024203Z digest=sha256:485a0fdb28ee2db13f02a20d2bfdc8134c3936ed2737e3090fbef5bdc4306e22

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

Resolution
unresolved
no resolver link, observed 2026-08-16T10:51:27.032613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:27.032613Z digest=sha256:a3b2fee03030f455d6f22b5c05a5fdac541c5c311ceb0dc093ceffe3b6cdc872

Observation c4035829-6ac8-4fad-9ced-8bd8dda4a03e · outbound

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

Resolution
verified exact
local_arxiv, observed 2026-08-16T10:51:27.253172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:27.037108Z digest=sha256:8d72c92a3f7a198ca156bdbf0160b22a3c2ade6e231f088d0c61d8b72e4dba58

Observation 6d1c0495-1185-4019-a011-536b439bb54f · outbound

This paper cites The Stacks project.

The geometry of secondary terms in arithmetic statistics The Stacks project

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-16T10:51:27.041251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:27.041251Z digest=sha256:f56faa961dafe771a52067390f61a17afa935b54ef8bfcc24d968e51f1853d59

Observation 1a925b2e-fba9-4362-9f4b-a353ad6db047 · outbound

This paper cites Secondary terms in counting functions for cubic fields.

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

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-16T10:51:27.044999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:27.044999Z digest=sha256:db64be2758de784040ee99cf459862a069da8008b1b831ed0af880896b3deb4e

Observation 02058df9-8f21-4f11-ac5f-c09ec8f37b79 · outbound

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

Resolution
unresolved
no resolver link, observed 2026-08-16T10:51:27.048994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:27.048994Z digest=sha256:2ad104b9f54ad643ae9324cf9f5d40adb01ae655a655647122b8f60908078ea4

Observation 77b6634f-96db-4c86-b23d-d662e4ed6b5d · outbound

This paper cites Parametrizing quartic algebras over an arbitrary base.

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

Reference 27

Resolution
verified exact
doi, observed 2026-08-16T10:51:27.096137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:27.053027Z digest=sha256:db653effcd0b5ed4c5313c53681778d018df199dc0fa02f88f4b61fc54dd5787

Observation 39bb3761-24fa-44c8-a205-06789a425bd5 · outbound

This paper cites an unresolved cited work.

The geometry of secondary terms in arithmetic statistics Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:51:27.455930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:27.056901Z digest=sha256:2efcd1b17a90be0b7a816961c501c03c7f91f3b8d3a78c336f0b1476af920c58

Observation d34fc638-806f-429c-9280-1c5b3aac69e1 · outbound

This paper cites On sieve methods for varieties over finite fields.

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

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:51:27.444771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:27.061304Z digest=sha256:3e02c17349503ea0e417779185dcf88e95504adcff59e94ca844c2a296df64df

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

Resolution
unresolved
no resolver link, observed 2026-08-16T10:51:26.991074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:51:26.991074Z digest=sha256:4b4d65ec969c4ac940479f28d4ae6b332fccaf7ad5eb2c9847f5ce4a2526217d

Observation 68ad3450-b415-4e9c-a7c9-fff304aec407 · outbound

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

Resolution
verified exact
doi, observed 2026-08-16T10:51:27.118150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T10:51:27.028065Z digest=sha256:21b65f978da81d81edd1a93ab5ff458f93ceb2be53cfe221759ea21294804af5

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

Resolution
verified exact
local_arxiv, observed 2026-08-16T12:40:49.140257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T12:40:48.893563Z digest=sha256:ff8b41a77ed6346deeabdee2f48d8f5e31997c111fd6b77b6d9680d76027eb3e