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Paper Citation Record · LEDGER

Sharp Bounds for Rational Points Near Space Curves

As of 19 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2608.09009.

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

pith.paper-citation-record.v1
2608.09009 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:27:23.083500Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

33 of 33 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d3956760-32aa-4d19-aaa0-48eb40d7bad3 · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.731628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation a81e696a-9baf-410e-a783-bd99d4da91d9 · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.717057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation b7e65135-0ad1-407b-b97b-203ca75621b4 · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.702100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation a38f0cdb-e3dc-41b1-83b8-38ae0969eb7b · outbound

This paper cites Math.393(2021), Paper No.

Sharp Bounds for Rational Points Near Space Curves Math.393(2021), Paper No

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.671881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:22.952608Z digest=sha256:86b5f02f996d933aeb5064864ba316c6e6a4f7295533702305168caf8fea660c

Observation 53c6d7f6-9743-4e0f-9991-e1f0a9c0271b · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.656578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:22.956945Z digest=sha256:3308d39c3a184d8c8632c4c397ef442dc4d0d05a45c5a8255dfaff885a075151

Observation 64ed9874-de33-45ce-a81f-3044d3c9e0d2 · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.642060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:22.960996Z digest=sha256:70cdfdbe65e28a0e6c46fdbe4945658a13d23ad922cd74f3a9b44d024ae9444b

Observation d22e5519-cdcb-4d96-a0b4-473e2f70fec6 · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.628846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:22.968608Z digest=sha256:10f8a2d7d18b161222a443ce4f4f0b06a778d5bbf748d5f73b46610f10673676

Observation 68d40a61-c2d4-4c7c-bc14-e002549cd177 · outbound

This paper cites Rational points near planar flat curves.

Sharp Bounds for Rational Points Near Space Curves Rational points near planar flat curves

Reference 8

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T04:27:23.305312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:22.972719Z digest=sha256:476e00eebaab9bc9d445c9c10cc15fd09c1b54ffbd5b160bfa3c2d39f38a965b

Observation 8a7267b9-4e03-4d4b-aa6a-35d285686dc0 · outbound

This paper cites forthcoming.

Sharp Bounds for Rational Points Near Space Curves forthcoming

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.615502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d7a16ce4-d4e3-4ebd-a0b7-ebd682f80e12 · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.601055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:22.981269Z digest=sha256:84561016d0179d3f43d5d997b740e29fc8f83d1aeabbcf949cbedcbd710bdec8

Observation acb5c8eb-a8c0-4444-87df-6dbd8747f5e9 · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.586711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:22.984911Z digest=sha256:e5f1c3481d14bc77ab5170b11301428c7d12b23d6ec8c9adf339b805277f2bbe

Observation b14301ac-fe1c-4704-a70c-475457f58cc7 · outbound

This paper cites Reine Angew.

Sharp Bounds for Rational Points Near Space Curves Reine Angew

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.572645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:22.990207Z digest=sha256:7185e116d6343b20a1559644866470948447ef46ad22cd118bc43917d48e81ae

Observation c14d31ee-b98f-48ae-ae84-0310b3b4686a · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.558337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:22.994829Z digest=sha256:9cb6d78a5e10afd860ae318fe767fe7c76c7cd83adf944d1f5bfde5ce7162594

Observation 54bb995c-ac69-4669-82fc-a7d5ada529a0 · outbound

This paper cites 14, rnaf200.

Sharp Bounds for Rational Points Near Space Curves 14, rnaf200

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.544066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:22.999289Z digest=sha256:3edd40019cf70f053ad0a13f116aa832c9ab121cae5c1821f0a72cc46afb6df3

Observation 5f9784cb-09f5-41bb-b510-13f589f64730 · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 15

Resolution
verified exact
raw_fallback, observed 2026-08-14T04:27:23.282056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.003645Z digest=sha256:6300073fe9e5f562ec074d2dc9b46810b3a0cb83559ac4fb86d62f3b4300a8cd

Observation 995f513f-67e1-4ba6-925f-600288751417 · outbound

This paper cites I, Acta Math.127(1971), no.

Sharp Bounds for Rational Points Near Space Curves I, Acta Math.127(1971), no

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.530119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.007979Z digest=sha256:295b3bb60cfb1ae016202c93cadcd94736067402b654ae009cd8f65d4e41b4fe

Observation 9ba24dab-3c3a-4e1a-bb3b-e9657d13b902 · outbound

This paper cites 127, Birkhäuser Boston, Inc., Boston, MA, 1994.

Sharp Bounds for Rational Points Near Space Curves 127, Birkhäuser Boston, Inc., Boston, MA, 1994

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.515421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.012496Z digest=sha256:a4d0d35f479cb048a264a2167c7e90747ae1174c487c420aee9b97336ad815a6

Observation e9b3703d-bd1f-4255-b719-2d5fe21efea6 · outbound

This paper cites Ann.374(2019), no.

Sharp Bounds for Rational Points Near Space Curves Ann.374(2019), no

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.500246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.016914Z digest=sha256:c9bd2ad9435be3517a0303604d59c44de310a24b117b4f5082937f427d4ed198

Observation cd84438d-63c3-432b-b6c0-27e66ccf7bfa · outbound

This paper cites J.169(2020), no.

Sharp Bounds for Rational Points Near Space Curves J.169(2020), no

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.485672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.021108Z digest=sha256:e441c6beab9b73cc06ddc623b48f5f504b826482dbc045fba3066f2b117ea46d

Observation add741ca-aaf6-4a65-aa84-dc101732a4dc · outbound

This paper cites 1, 113–163.

Sharp Bounds for Rational Points Near Space Curves 1, 113–163

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.471460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.025734Z digest=sha256:2c1cf83fbaf4d08bcdc6874f71382cfe0207a6316cce88e452b16353286202ba

Observation bc8cd3e0-683a-4d34-bf0c-a214377cda99 · outbound

This paper cites 3, 357–375.

Sharp Bounds for Rational Points Near Space Curves 3, 357–375

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.458015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.030067Z digest=sha256:a22302b1425e15a657b977ea4a1e1285a7e55fe2d59c967f98c119f476202f13

Observation a60b7e3f-f6cd-4628-a922-6c9f8e4b8b96 · outbound

This paper cites 13, Clarendon Press, 1996.

Sharp Bounds for Rational Points Near Space Curves 13, Clarendon Press, 1996

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.443942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.035272Z digest=sha256:d9e57cb3198f93f6afc9b0578da8224c48ff564d77acefc6770f02f41e893282

Observation 3d61d277-4996-4010-be3f-b4beb0cb8425 · outbound

This paper cites Smith,A Bessel function multiplier, Proc.

Sharp Bounds for Rational Points Near Space Curves Smith,A Bessel function multiplier, Proc

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.426475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.039802Z digest=sha256:79f743fa718cb8a29b4268c7095c9d715f87c2b92fcb5d7015b52c87ce53035f

Observation 0d7b7433-56df-4579-83f3-f2f736f235d5 · outbound

This paper cites Phong and Elias M.

Sharp Bounds for Rational Points Near Space Curves Phong and Elias M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.412375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.043960Z digest=sha256:76edf81c7c6d218e1a00728ec7ce48eb76208418f9141810381f1b1c20596cbd

Observation 2fcfdaa0-6375-4de0-9962-3ef475ad3c24 · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.395005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.048310Z digest=sha256:973748e0db43113a0b6a2f3e849f5f3651cefd8d3976c24505cd5eba4a31f8be

Observation 78e535c7-fc9a-43e5-85bd-d906b1a66d5f · outbound

This paper cites Rational Points Near Manifolds, Homogeneous Dynamics, and Oscillatory Integrals.

Sharp Bounds for Rational Points Near Space Curves Rational Points Near Manifolds, Homogeneous Dynamics, and Oscillatory Integrals

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-14T04:27:23.052796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:27:23.052796Z digest=sha256:2247acc6899fc25aa6efb7d92d4263ed5e18948e76d67ecc6ca7352a37ad0698

Observation 640bd66a-d82e-4dca-b17d-7959030a13ea · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.381835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.058044Z digest=sha256:c7705dda1055f71110538a31556f9d60f5027991d8f37266e7c6f4e4dcb8ac08

Observation 03443a8b-5a17-492f-9ac8-3d621b320350 · outbound

This paper cites 210, Cambridge University Press, 2017.

Sharp Bounds for Rational Points Near Space Curves 210, Cambridge University Press, 2017

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.366538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.063183Z digest=sha256:e768e664bbde5f988ceeac69d060392f44b491bec627c60f79e17c8c15b53b37

Observation 91a790ec-7960-4dd2-a6cb-7a4816bafe24 · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.351145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.068121Z digest=sha256:6802906a3e31dafef2af73d860a47728c16cdec618008c6291cdd37c0c886964

Observation d2308ce1-7de0-4f2a-953a-a16c7f5884f7 · outbound

This paper cites Density of Rational Points Near Flat/Rough Hypersurfaces.

Sharp Bounds for Rational Points Near Space Curves Density of Rational Points Near Flat/Rough Hypersurfaces

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-14T04:27:23.073016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:27:23.073016Z digest=sha256:c9d8069ed84a684d8ac60210ab9054e12debdcbffc6f5e10c899af4282c54c2e

Observation 892fa318-0ee1-48ad-aa15-97b9c6e2fbe0 · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.336113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.078322Z digest=sha256:9497f803da9ee1e36a66046e6a29659e7073338c645989014605a7d9b20beb61

Observation 46577cbd-bec9-419c-9d53-7f3d2ddc3f43 · outbound

This paper cites 1, 103–124.

Sharp Bounds for Rational Points Near Space Curves 1, 103–124

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:27:23.320909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:23.083500Z digest=sha256:342d1f97c0acd0bae69c0e4859e7b922a036c47c55cc604e662482ee5f591342

Observation b7ee79c4-e15b-411d-b584-69842a0c5b8e · outbound

This paper cites an unresolved cited work.

Sharp Bounds for Rational Points Near Space Curves Unresolved cited work

Reference 2004

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:27:23.686537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:27:22.948368Z digest=sha256:4a6ed846cfcfe98ae3464ea5a6075e9a869b49e2663c1230a58a11ea9d7ffe77

Pith citing papers

No inbound Pith citation observations are available.