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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 2026-08-18T06:34:40.430872+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
  • metadata mismatch0

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.671063Z digest=sha256:cab7d8b21d3915c44c8ad6900bf2128cc7ce2a70c0bdfd45797b26710c25f47a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.675840Z digest=sha256:500cf350995cf6513e99d6c3ce41c20ec8dec0253510df8202f0a7e527ded22d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.680187Z digest=sha256:b67a1ec7cd79c3f11e41807d45128aee300221239e7169030203ee36a98bb895

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.684236Z digest=sha256:bc78476688ffe5f167848246cb8b37013762f8e43115c6985e8f89292ae43ea1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.688547Z digest=sha256:12edcaf0816d8a266eb22c6148ff5c576bc7c129511d0505d3200ccda3cf5633

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.692574Z digest=sha256:2288bc02c8e1173a957ac7cfbdb688c6c0bc50ad0a939377281f905683b72ee5

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.696816Z digest=sha256:542236bb2ddd1e6ecc97c20434464536866947724a5a9f05adb40f0c52df2ced

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.701321Z digest=sha256:a6041977b21b9cddffa9344b5915673e3ab311d3fa1c316e1d0a15faf96614b4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.705514Z digest=sha256:d072379ae1203a2bad4e984c6fd3f2fd06abad3bc3fc32b7957aa7afa5430765

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.709654Z digest=sha256:2e96fd43da8727c76f35276f41fc8f887e5a3d87478314a82ffb40b2beb6a7bb

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.713578Z digest=sha256:d34284695d999631e052f74e6e4f28a1d12e1ad027fc220da7d402be125fd1b3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.717840Z digest=sha256:96a09f9033a74f635f44f4d77950f14cff375522c5cf742f213aa1b263a22e47

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.726049Z digest=sha256:ef835c50665dc6bcd8fe85c1d3cd552714e41b3cc493d35f073b74b90212110f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.730096Z digest=sha256:7a376c78916e5dca8b088778da462dc2f5dff3dde12966885795aa017f86262a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.734173Z digest=sha256:20fc7d9cdb64bb8a82ce6f78dee7a7636a55f6f2e66164a5023c37f41def0404

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.738066Z digest=sha256:f71905894e5075095f2fefff5073f2acb27d792128a29e4f5c3b633503c56d75

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.742421Z digest=sha256:3d645c739f2555f026998da58addb50f2fe0d98f1ebca2980464843b5b016dab

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.746240Z digest=sha256:7014cc51d504a13177ab41c0add667544a01181d82a6eaf42c2d6e9ebbc097cb

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.750151Z digest=sha256:8fc62faf0ce8f79c3bd79d664fa69cface647df6e1de8a334f633cbf21c32c28

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.754546Z digest=sha256:56b24af0c95607f4b65c5d77d5cae947a2c482bd13ee6ae0c55f504a29e53e5d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T16:12:46.758713Z digest=sha256:efe05480606b0c93f9f65fdb0a9aabc0fac0a9ad6373da4e2e2361facc2bbf67

Pith citing papers

No inbound Pith citation observations are available.