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Paper Citation Record · LEDGER

Rational surfaces on low degree hypersurfaces

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.671063Z digest=sha256:632acffde4020a3a22e78d3a72948125964f65c5e0fe73b9c2fa2566bd21e1fc

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.675840Z digest=sha256:661f05bd6070f73dfd21f79d9b169ee8d70bef7cf4554fd1f63c61ebe50ff6da

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.680187Z digest=sha256:8bbc1dba1a7161c9b65498fac03717ead625868bcfdd665f64a4a41b737e7bdf

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.684236Z digest=sha256:1b8e50ea1907d249ad5c7b3713e7491cf0f12aa8d1a9294443caf37bdb1053f4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.688547Z digest=sha256:bf0f30edbc0ebaec527dbc9d08d31cc900d4992e724f171992c8f95b43f5c191

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.692574Z digest=sha256:dfbf4ff4efc14dd9ddb2dd19ef3a9b3c9aa6680ccb8f4e9f391b7291bd31c590

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.696816Z digest=sha256:727163784b7a6ea32b48b5da85e68187c0466e1fdd88fdaaa7e8d1b99f3cf9ce

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.701321Z digest=sha256:4ebda405606192ead17b28c42c951f6e5848d5b89dcd3b722a222c628cd7a029

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.705514Z digest=sha256:5d42f842a964dd44c65c9e99525ada6dfa968885e85fb85af65209b118d600b4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.709654Z digest=sha256:adf9072c9f968ba742d515ddf120805602907cbe2d3c2c97b6a19e21cce5df1a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.713578Z digest=sha256:94eb6ef210e9746d19e77a4b65e68a717171956188d9999c13dfafb8edfc9780

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.717840Z digest=sha256:d5d69c9bc912778341b289b7daf55038ff647ca046d5caa4ab3c4cc897d8bbac

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=sha256:8d1550de798f01433880b81f216393ce7790428fee93d9bca68950ad2d462fb2

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.726049Z digest=sha256:4e1f5cddbc3aad665dc56c9374f8339a5be512018a04629b48ec45a008a22cf7

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.730096Z digest=sha256:5ba4468fa6eb9d87828d2405bd9d77a1d476080f4ec5ece2e619ef683b724b0f

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.734173Z digest=sha256:d28d296dd65920c7073c1b2af0b65e48c5f6627e619ac14ada7ab58de2b6e499

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.738066Z digest=sha256:f9d6285a5d9fe0c3c4172536bee1c6eacd89d9b32ceeb321252ba85292fce87d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.742421Z digest=sha256:cdba7bf2f9f4b118574ef6ff1b983dcaf4033a849e853f640872d695ddbc76b9

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.746240Z digest=sha256:386811701b19e268be5d04be4386af0650aaf3bf82dd3272735543795234891c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.750151Z digest=sha256:358433861e9c272b2058e05734482128a6e6dabac716f00ce62debc33afb3156

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.754546Z digest=sha256:c167947e520e2c79887eb1d925668123859c96bdb61b8db03e095fed6664ba01

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T16:12:46.758713Z digest=sha256:601e3c0bed389f8f91ba83514d334fa1adeaa6d76b49024f3a508c85e7416793

Pith citing papers

No inbound Pith citation observations are available.