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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
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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:c3ff5236cde39f2a92b08b5389233f3015f3127d42f05bc26b8c464b2b5764da

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.

source=pdf_text observed=2026-08-06T18:31:09.923623Z digest=sha256:6e9b4c82aba68c7180cdb164630b53c5183779a445a4f4bf2dcbd6b6e98ae98a

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:e887bb6bd2a96bad70f5f65720bdd40cd02c3d01f8c12f5c2222b25c83d5e3fe

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:cca7845990fd3824f1a6ad826933261fbb827ee4d96c1a2738babb227c84c2f5

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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unresolved
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=sha256:21225eed02ea391cba576b7976ae2b3593394c5714ee5d826b9a8ef975e3735a

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=sha256:2cd9e3b77286f30ec2565fe35bb0660363a2e722bf07635d9f4f6bf6c482462b

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:d2e45b4febedf6dbde329944bcf6bf312c872e58c99f9b9b644d34bdfa9d49d5

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=sha256:35ce7014d07206839c69588b69245bbc504e0eb0090c40ca7e51bf2d70eeefd3

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=sha256:64e854bb08d65794fbda51d719405fab60b3aa0241c3343a1b748089e6e729f6

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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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:fa886fbc77000aa816b9eacc9c8d18d2aa468b5cfa34fc5e0f46e2e3d42c1de5

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

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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
unresolved
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:a4caea2621a1dfb454f3e841e05a681e1201264d6779d6436f401a6d2ad57ee5

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
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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=sha256:4964e333a8a88df8e1bfafe1885737badb0983974da6208a535542e1fb3b9c45

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:ade5dba4be19756a3839ecb203701caa2985bff8468b07f60c43cc64b21c39d9

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=sha256:6b2b65cb7cb05e249d4b0e75cdd2682ee34343a6d7adf4067bf4ead0716b3bff

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

Resolution
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:fe613af73a2c1a2a68e7c80735e25bdf19d827a2e2d90e18b1d4b7fd4af6d171

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
raw_fallback, observed 2026-08-06T18:31:10.155278Z

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=2026-08-06T18:31:09.969310Z digest=sha256:5186b80376432699fbd04bb269f8f5cb51e76cda678def5fad72a4f1c816ba31

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
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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:f4288410a094b555c56244cbca82904ff626b26aa8038c661f8324d953f3dd0e

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=sha256:59770cd5b4620581688ed43363398df4138f8978cc56c696e5e3223c461fe7c1

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.

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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.

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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.

source=pdf_text observed=2026-08-06T18:31:09.984494Z digest=sha256:dd8b67d4bc96f5656d3c9fb20530f81456fa8a2ea34124639808f5d1cdaa6b7f

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.

source=pdf_text observed=2026-08-06T18:31:09.987231Z digest=sha256:fde7f6ceb1d258a965880ecf14bc7d5fd0c0dc69e017ed58f2cff7cbb983e5ae

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=sha256:351cd96890e828302fdd15b85a072a6204b38fe7210dd48fb68defef10ede6bc

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.

source=pdf_text observed=2026-08-06T18:31:09.995245Z digest=sha256:760af78a71f62f04efd4babce61ce0d3df5a350b26ec531b1f170e261309f849

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=sha256:29d7b50aca871a4d6a2889031ee1360721f96ec25e8761401cd9d34a1620e4fc

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.