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Paper Citation Record · LEDGER

Rational surfaces on low degree hypersurfaces

As of 18 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2508.18938.

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

pith.paper-citation-record.v1
2508.18938 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:12:46.758713Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

22 of 22 outbound references displayed

  • verified exact3
  • verified fuzzy16
  • unresolved3
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0475f189-483a-4e78-9778-eacee371a6ff · outbound

This paper cites Beheshti and E.

Rational surfaces on low degree hypersurfaces Beheshti and E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.165059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.671063Z digest=sha256:f7a141d0858e74d05185dfe41c05a6493a9a184657d899a21e59e81e7aab6b70

Observation b3c09329-abba-4cbf-881b-462ea833d4da · outbound

This paper cites Birch, Forms in many variables.

Rational surfaces on low degree hypersurfaces Birch, Forms in many variables

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.151210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.675840Z digest=sha256:3ae39edeb65974e4f763d4e5eb4c1652a4f327b2c9df92f74027a510d028c5e5

Observation ca9af630-ce0c-4874-bfc9-8babf8d265ed · outbound

This paper cites Brandes, Forms representing forms and linear spaces on hypersurfaces.

Rational surfaces on low degree hypersurfaces Brandes, Forms representing forms and linear spaces on hypersurfaces

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.138531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.680187Z digest=sha256:dce3767c8b86d99c52f313a84006e79f60581fd7d4b28389b0489d9ce1aebf2b

Observation 0321da94-9fd1-4d59-88bb-787d8d27344c · outbound

This paper cites Bilu and T.D.

Rational surfaces on low degree hypersurfaces Bilu and T.D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.125561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.684236Z digest=sha256:7238ea23eaf6a8d5120c1e5db1bdd390a2e01ed91797412f800fcbb36e9538bc

Observation 9a781251-3a64-4f9e-923b-ca945c988418 · outbound

This paper cites Browning and W.

Rational surfaces on low degree hypersurfaces Browning and W

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.112470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.688547Z digest=sha256:059726ea610dbb9d6dab616bed1ec8ae810d7e3b86f4d48c4fa2287a497abd14

Observation cf495dc3-9ccf-431b-92bc-ea97188a65c3 · outbound

This paper cites Browning and W.

Rational surfaces on low degree hypersurfaces Browning and W

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.099131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.692574Z digest=sha256:8b9ca1b744c878919ed162585929949a98e20e25167869d90390be28ae71a301

Observation 99b58610-1125-481b-ba4e-8313da1967e4 · outbound

This paper cites Browning and P.

Rational surfaces on low degree hypersurfaces Browning and P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.086047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.696816Z digest=sha256:b35445cf17ac92d0182fdbedd2f29955b1941f9c111ce2a2693ee2ba85a12ddc

Observation c0d9645b-1f3a-47ae-a199-bf707751f674 · outbound

This paper cites Rational curves on complete intersections and the circle method.

Rational surfaces on low degree hypersurfaces Rational curves on complete intersections and the circle method

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-05T16:12:46.926479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.701321Z digest=sha256:894efb5567b87c1931717d507f6b009bcca09be990ea3350aa88c6607bb5ff19

Observation 17db7ca5-ac66-406a-bcd8-792e0612ee5d · outbound

This paper cites Coskun and J.

Rational surfaces on low degree hypersurfaces Coskun and J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.073306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.705514Z digest=sha256:327949a7178f5c273ca711312927279db04beab1962422088f9c69a89590cd17

Observation f3dcc1ab-e160-434b-913d-94cb7159556e · outbound

This paper cites Eisenbud and J.

Rational surfaces on low degree hypersurfaces Eisenbud and J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.060780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.709654Z digest=sha256:98042f90aa65e74c3144df47e21cebd59b858a04d432f07faececa42887d7147

Observation 62c7d13a-3b7f-467d-adf7-dfac37ef7674 · outbound

This paper cites Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method.

Rational surfaces on low degree hypersurfaces Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-05T16:12:46.907362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.713578Z digest=sha256:b39981f5e061deeaf08362844558f9f2e88a1df1822d786af584fb02e3134f68

Observation e47255f2-95fd-41c7-987f-f23574d6dbe6 · outbound

This paper cites Harris, Algebraic geometry.

Rational surfaces on low degree hypersurfaces Harris, Algebraic geometry

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.047624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.717840Z digest=sha256:1d9a1fae8dd57572b58cf9070327602d46d5add307434927f57b187cdc93efe5

Observation 4316f7de-b0f3-4f89-9808-2f8755d0e306 · outbound

This paper cites Hase-Liu, A higher genus circle method and an application to geometric Manin’s conjecture.

Rational surfaces on low degree hypersurfaces Hase-Liu, A higher genus circle method and an application to geometric Manin’s conjecture

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-05T16:12:46.722207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:12:46.722207Z digest=sha256:8005ef968520d669ef4462ddee49c67da09cc580cc45bcace8fa13a675548505

Observation dc80d260-8a66-48eb-aac4-9ea28a3175af · outbound

This paper cites Hochster and D.

Rational surfaces on low degree hypersurfaces Hochster and D

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.034240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.726049Z digest=sha256:1d92e413355a10d13f53526214b527160fdc296ca6fc4fed798d5029832a0f17

Observation 0b986e28-533f-4cfa-a7f0-8caa3ae62cec · outbound

This paper cites Kim and R.

Rational surfaces on low degree hypersurfaces Kim and R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:47.021365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.730096Z digest=sha256:441cf4b4955797c73c53b2dcf463796de7679b45cf4a7b18516ccb23738dc0c2

Observation cec45d48-a991-4d3b-966c-26eff455190e · outbound

This paper cites an unresolved cited work.

Rational surfaces on low degree hypersurfaces Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:12:47.008422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.734173Z digest=sha256:9a878405659cbb07f998a941774dfcbab9603aeb71a33a6729f53e94485d3dae

Observation 9cddfa6f-3365-4deb-8edb-1502a9534679 · outbound

This paper cites Lang, On quasi algebraic closure.

Rational surfaces on low degree hypersurfaces Lang, On quasi algebraic closure

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:46.995271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.738066Z digest=sha256:fadb8a99299b3b890325a0350837e51a833e0cc32fa8e5b5cae8e6f0549bab29

Observation 513838f1-29b0-4812-89f4-617eda0cd988 · outbound

This paper cites an unresolved cited work.

Rational surfaces on low degree hypersurfaces Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:12:46.980808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.742421Z digest=sha256:88c98fc9c826f791697b6bdd997f8442870570c9705d9f386fec1ca5065211e9

Observation 016b8528-36c0-4774-9c54-adb9a68dbbeb · outbound

This paper cites Riedl and D.

Rational surfaces on low degree hypersurfaces Riedl and D

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:46.967375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.746240Z digest=sha256:3999bed2e2cdaec634ee44d7790f40fcf31bccaf0b1ffaaa99565bd0d6d1499b

Observation 0c2ca7e6-8d56-4048-96cd-f2af3000aa97 · outbound

This paper cites Schindler, Bihomogeneous forms in many variables.

Rational surfaces on low degree hypersurfaces Schindler, Bihomogeneous forms in many variables

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:46.953686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.750151Z digest=sha256:11dc090be3d6be7e22d3a85639422effa0e68878a7049f8147ff5a0fac512d05

Observation 49c6a7f1-b942-49d3-955d-c33e461b8548 · outbound

This paper cites Schmidt, The density of integer points on homogeneous varieties.

Rational surfaces on low degree hypersurfaces Schmidt, The density of integer points on homogeneous varieties

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:12:46.940319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.754546Z digest=sha256:dd1f1b893e6dd00b7171bb64fcdad089a6bc944f8f16e8ef9b0cd689e40a0b85

Observation 860e86d5-a98f-4492-82db-c450999b42af · outbound

This paper cites Veronese varieties contained in hypersurfaces.

Rational surfaces on low degree hypersurfaces Veronese varieties contained in hypersurfaces

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-05T16:12:46.798515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T16:12:46.758713Z digest=sha256:1d62309afe154328211f62f99534da411fb3d5f93a55f25d2f985889aae66d9b

Pith citing papers

No inbound Pith citation observations are available.