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Paper Citation Record · LEDGER

Sharp Bounds for Rational Points Near Space Curves

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:22.944143Z digest=sha256:f80847d9a9e3b60009aa3a5292e5e11a0be119dfcd025b2fad23eb72e63cef48

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:22.956945Z digest=sha256:5d518cbc4501b1043a3b22e591f6d4ab1ed2c4b0d14dada989231d16bf585d84

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:22.960996Z digest=sha256:799d32b21fd4652740d8270b6b8cbfce7f3898e985c0632a17beb166ee60711d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:22.968608Z digest=sha256:b0cd0fdc10608f74a8e1467b4cf8be6177b278e035f73abc6d94350da833f848

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:22.972719Z digest=sha256:3838cb2a9de9983d874644d53f85dcdf7480a02b427afc6020be3c3571d4f518

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:22.977365Z digest=sha256:64635cb015f69fb776252a52c4724ef8bb57e49d2d6e2fadd7d2d83cb9afeecb

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:22.994829Z digest=sha256:34f9d27ec545fb6079dcbc2b87e5144ef610af7c33a2a7d0f1febd6d03e79be0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:22.999289Z digest=sha256:3a1e7c1f17442e4ea73590e0f1f417df20ae7b8f34cf5bf86e1bee5a9914c3a4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.003645Z digest=sha256:c4dd5f77599a8cc5434657ae728591fd05ea382b63052b3cc7cfe7c3ca233b47

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.007979Z digest=sha256:ea8981e748c927742e6d3018386efa60d1b46b7cb32c20a5bac45ef871803f94

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.012496Z digest=sha256:2aa0f605470a9a54cac84b055fe15ee438c27f143adcb3066e84c42e2b3a9b2d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.016914Z digest=sha256:ebb743983e92a20894819f0730892a8c0b53dc0ab2f8c6c323501a3eefcdb4be

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.021108Z digest=sha256:217bf19853ead07f6c265cde7363233eba1ac993ea2628791666a2cbbcfbf97c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.025734Z digest=sha256:80c8c791f88014a7e62e3df2fd5643f69f7d1bebc6f45d027125f0407cd7a002

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.030067Z digest=sha256:895859eddb3684a49484df246c4519395538fd25fed369d13d88cbfece7e78ee

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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

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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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.043960Z digest=sha256:f1a8c48ec97b036bbb13915233e011a5332a3dfa601697711d1816129a4c0ebc

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.048310Z digest=sha256:635a16590bdd2f3e20064968a0e20d3c524c6976e03f0fb80c130569d2e19cdc

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.058044Z digest=sha256:6b28eb34e1bfa47bf58f86b204144e28f58918af35aa726b25fb360b00696f07

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.063183Z digest=sha256:ee7c5b2e046c3abe3a2e916db9def281f47e5ce32d6ef352576256bbed0be432

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 2026-08-20T06:33:59.587034+00:00.

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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:bf5782c4330c64981ec393e0d93109c11c8a211968f22687a366ccd64f63d12f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.078322Z digest=sha256:f1845c006be3dd9bb2bd051fcd9f30db42d6d48d14dcf87e1866b318fb2916be

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:23.083500Z digest=sha256:982b6cfb80aa0fc213a4178312cfdecd9c5f9adcc9f3d15f421f063f41bed272

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:27:22.948368Z digest=sha256:aecfe3f07699d47c6cf29872bf5ebf3557ba45f59fb9ac998d8ee5fc4ebc15a8

Pith citing papers

No inbound Pith citation observations are available.