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Paper Citation Record · LEDGER

Lower bounds on heights of odd degree points of hyperelliptic curves

As of 12 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2507.08652.

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

pith.paper-citation-record.v1
2507.08652 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:31:10.000183Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 181fd173-f32a-4bab-b599-e1930759bbb1 · outbound

This paper cites Barroero and M.

Lower bounds on heights of odd degree points of hyperelliptic curves Barroero and M

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T18:31:09.920618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:31:09.920618Z digest=sha256:900ddbe910a4b5ad8fcf80856d03e652d651eca071cb4bc099d5bd61276066cd

Observation 85512e8d-bc8f-4f44-9e1d-66635d7e2756 · outbound

This paper cites Bayer and D.

Lower bounds on heights of odd degree points of hyperelliptic curves Bayer and D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:31:10.251680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 3227e0d3-8b9a-4127-8eb2-7461bedcf155 · outbound

This paper cites The geometric sieve and the density of squarefree values of invariant polynomials.

Lower bounds on heights of odd degree points of hyperelliptic curves The geometric sieve and the density of squarefree values of invariant polynomials

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T18:31:09.926150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:31:09.926150Z digest=sha256:1e838142985a4b2825327e83b3413deae1e05333e7720e56d17dfa7157791bea

Observation dd8f50a7-945a-40d8-a687-ab54409a4074 · outbound

This paper cites A positive proportion of plane cubics fail the Hasse principle.

Lower bounds on heights of odd degree points of hyperelliptic curves A positive proportion of plane cubics fail the Hasse principle

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:31:10.050361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.929229Z digest=sha256:aff3c9a298862943ab6d2574fc0d7b73367958f3e891c196ccea0a84f503b5f9

Observation fb71e7a8-8f58-4ae9-9d9e-98989db20db0 · outbound

This paper cites Most hyperelliptic curves over Q have no rational points.

Lower bounds on heights of odd degree points of hyperelliptic curves Most hyperelliptic curves over Q have no rational points

Reference 5

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no resolver link, observed 2026-08-06T18:31:09.931946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:31:09.931946Z digest=sha256:3a77d2085345dbfdc12139019256af005e58fcad0ceb1a6354355a4d54018939

Observation c503ee29-aa69-425e-9685-fd88a780dc14 · outbound

This paper cites Bhargava and B.

Lower bounds on heights of odd degree points of hyperelliptic curves Bhargava and B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:31:10.244723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.934762Z digest=sha256:8a4b7126b85ffaa04cbcd6ccdeca12e356ef59705942cfed1ff3200093bf8d38

Observation 1a9a8fcf-bc3f-4fac-9ae1-222acafcc995 · outbound

This paper cites Bhargava, B.

Lower bounds on heights of odd degree points of hyperelliptic curves Bhargava, B

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:31:10.236867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.937503Z digest=sha256:a135aa54d183a92f6ab2cafd668146eca4565056b4094425c2d4caee54d9064a

Observation 20c82667-ddc6-491d-a91e-b3ddbf16a2c1 · outbound

This paper cites Bhargava, B.

Lower bounds on heights of odd degree points of hyperelliptic curves Bhargava, B

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:31:10.229349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.940040Z digest=sha256:6870c242f29481d471e15caa119484fa9a1f0d1449d22029f72ddf325c9d36e7

Observation 4136a481-92b7-41c6-93a6-f2a6ca932221 · outbound

This paper cites Bhargava, A.

Lower bounds on heights of odd degree points of hyperelliptic curves Bhargava, A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:31:10.221229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.942412Z digest=sha256:ec192ea441ec6ee6a127bcae0fa530252b3191493c7776d6f0fcf8331baf5881

Observation f0e27887-76be-4e96-8588-87314906cfcd · outbound

This paper cites Squarefree values of polynomial discriminants II.

Lower bounds on heights of odd degree points of hyperelliptic curves Squarefree values of polynomial discriminants II

Reference 10

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unresolved
no resolver link, observed 2026-08-06T18:31:09.944903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:31:09.944903Z digest=sha256:8436517d59c44b4988e5ee792418101c86bbfd559e823b60c261619bb80e4cf5

Observation bdc5dfb2-0ac8-42a4-8f0b-dacd27f8b349 · outbound

This paper cites Bochnak, M.

Lower bounds on heights of odd degree points of hyperelliptic curves Bochnak, M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:31:10.213595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation d46262f4-f1ab-4174-b426-2a691c551a6c · outbound

This paper cites an unresolved cited work.

Lower bounds on heights of odd degree points of hyperelliptic curves Unresolved cited work

Reference 12

Resolution
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raw_fallback, observed 2026-08-06T18:31:10.206160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 26cd70a8-b3ec-430b-8076-e22cf29bf904 · outbound

This paper cites an unresolved cited work.

Lower bounds on heights of odd degree points of hyperelliptic curves Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:31:10.198770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 735ea4ce-166e-4935-9480-4ca05f5c6efb · outbound

This paper cites an unresolved cited work.

Lower bounds on heights of odd degree points of hyperelliptic curves Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:31:10.191103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.954368Z digest=sha256:2ddf54910781ada5ffdac954cc0d050e86e54481cc3f1f9a67ed960ddcde3421

Observation 6a69865d-534c-4f88-b905-18092264a79b · outbound

This paper cites Davenport.

Lower bounds on heights of odd degree points of hyperelliptic curves Davenport

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T18:31:09.956696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:31:09.956696Z digest=sha256:29f31939a3c8b1379282b748daf13b51ff3bfff9c2afa59f9dab13d9c8bee396

Observation 9d0e152a-7279-47ff-aa87-edbcd7de9c6c · outbound

This paper cites Hartshorne.Residues and duality.

Lower bounds on heights of odd degree points of hyperelliptic curves Hartshorne.Residues and duality

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:31:10.178293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.959079Z digest=sha256:9ff3d195a1546699e686d561a3fb7c15e7b446d63904a0ed2f6c1182d1774fb6

Observation ee041e89-ed79-49e7-8acc-752281a4fe91 · outbound

This paper cites Hartshorne.

Lower bounds on heights of odd degree points of hyperelliptic curves Hartshorne

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 6d931512-ad88-48f5-b460-9b9c847d314e · outbound

This paper cites an unresolved cited work.

Lower bounds on heights of odd degree points of hyperelliptic curves Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:31:10.162917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.964015Z digest=sha256:42276f5fc488e177b4a94d41707d4d84c2d7f97586e01c0a35c7e5692edb9f74

Observation 7f8b56ee-6d7b-487e-a49c-23d7bca4a0ff · outbound

This paper cites 100% of odd hyperelliptic Jacobians have no rational points of small height.

Lower bounds on heights of odd degree points of hyperelliptic curves 100% of odd hyperelliptic Jacobians have no rational points of small height

Reference 19

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unresolved
no resolver link, observed 2026-08-06T18:31:09.966567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:31:09.966567Z digest=sha256:33dcec5d523b60cd98bfbd48850114d01c1b412f86e62973c4cf53685a8f8983

Observation 8df58812-bb9e-4914-94d1-8f9112216f0f · outbound

This paper cites Nakagawa.

Lower bounds on heights of odd degree points of hyperelliptic curves Nakagawa

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation ae05884b-ab6b-4c6b-b124-e2cd0ce67fab · outbound

This paper cites Platonov and A.

Lower bounds on heights of odd degree points of hyperelliptic curves Platonov and A

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-06T18:31:09.971564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:31:09.971564Z digest=sha256:713cc9d067066f3e88ee97dbc9c4d45da1f4c9d9ce0d05fc2f0cf962d45ff695

Observation d31e4a17-b5ff-4cdc-9449-ac1429a59c12 · outbound

This paper cites Poonen and E.

Lower bounds on heights of odd degree points of hyperelliptic curves Poonen and E

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T18:31:09.974639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:31:09.974639Z digest=sha256:d55b4c79e8c09cee74203005039bf88f32ff04f77fbc7b3fcc63e5948cdaa541

Observation b3234388-2706-4953-90f6-12f59287d98a · outbound

This paper cites Poonen and M.

Lower bounds on heights of odd degree points of hyperelliptic curves Poonen and M

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:31:10.138451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation d743ff48-7328-40dd-9666-c9077399bd85 · outbound

This paper cites an unresolved cited work.

Lower bounds on heights of odd degree points of hyperelliptic curves Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:31:10.131278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.979562Z digest=sha256:f19ee77753c96b383e800b5fe16d73f2439fecdd28b68f4de959e6b45b3cf853

Observation 4bd4a690-db31-42e7-a766-b52b30e7d893 · outbound

This paper cites Soundararajan.

Lower bounds on heights of odd degree points of hyperelliptic curves Soundararajan

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:31:10.124035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.982075Z digest=sha256:5a4328ad5ebbbff89ac1abfd4fb4a9eb61633ccc8a4a51f9054a916f11585942

Observation d5f7795f-a059-42a6-9e8a-2f835f8e2043 · outbound

This paper cites Stoll and J.

Lower bounds on heights of odd degree points of hyperelliptic curves Stoll and J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:31:10.116917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 48628386-935e-46ae-8744-33e106055677 · outbound

This paper cites an unresolved cited work.

Lower bounds on heights of odd degree points of hyperelliptic curves Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:31:10.109142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation f30e4643-9066-4e44-a83e-3719e9bd0fc5 · outbound

This paper cites The Stacks project.https://stacks.math.columbia.edu, 2024.

Lower bounds on heights of odd degree points of hyperelliptic curves The Stacks project.https://stacks.math.columbia.edu, 2024

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:31:10.100835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.990128Z digest=sha256:ab6d25d8ba93c2a520eb7a4554d4f07149db5cd8d628f4dd9ff78728f77d3b60

Observation d918a139-8c23-480c-aee6-d65e72357c0e · outbound

This paper cites an unresolved cited work.

Lower bounds on heights of odd degree points of hyperelliptic curves Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:31:10.093120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 06a84668-a9ef-41d2-b353-4dc801af5d96 · outbound

This paper cites an unresolved cited work.

Lower bounds on heights of odd degree points of hyperelliptic curves Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:31:10.085316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 7a5fd7cd-4d04-443b-8f94-c4f287db3653 · outbound

This paper cites an unresolved cited work.

Lower bounds on heights of odd degree points of hyperelliptic curves Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:31:10.076840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:31:09.997669Z digest=sha256:9d4fa93dfa1281d4aa3f2c658fd4c0ac195fb6e4343709ccd5ca3ed07ae789b4

Observation 6b25a37c-acda-4ab1-b3db-5643bceb4dc1 · outbound

This paper cites an unresolved cited work.

Lower bounds on heights of odd degree points of hyperelliptic curves Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:31:10.066177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Pith citing papers

No inbound Pith citation observations are available.