Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:05:38.730758Z
Paper Citation Record · LEDGER
Kummers, spinors, and heights
As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2507.06865.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
42 of 42 outbound references displayed
- verified exact0
- verified fuzzy9
- unresolved33
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 07056f99-9397-448d-a6e2-f6abf0fac8e0 · outbound
This paper cites Bhargava and B.
Kummers, spinors, and heights Bhargava and B
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:05:35.804282Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef72a84e-88c1-4708-b436-18ff30de87d6 · outbound
This paper cites Bhargava, A.
Kummers, spinors, and heights Bhargava, A
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:05:35.854194Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c63bb56c-fc6d-4246-9c6e-a8c6103a6a41 · outbound
This paper cites Birkenhake and H.
Kummers, spinors, and heights Birkenhake and H
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:05:44.374875Z
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.
Observation 5cbdd95b-0a9c-4926-97be-5ebdaf20e244 · outbound
This paper cites Bosch, W.
Kummers, spinors, and heights Bosch, W
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:05:44.358004Z
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.
Observation 2dbd5d8f-8aaf-4337-b4f6-df4a055a3a94 · outbound
This paper cites Bosma, J.
Kummers, spinors, and heights Bosma, J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:05:44.339016Z
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.
Observation 75197f58-e392-4310-bc35-39b636e9fb1e · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:44.319972Z
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.
Observation f76dcb5c-eab5-47a9-a3e3-7576439a3760 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:44.301721Z
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.
Observation 59bbfde9-0ee8-45db-8bce-c35b76ce4d34 · outbound
This paper cites Chevalley.
Kummers, spinors, and heights Chevalley
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:05:44.283406Z
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.
Observation 6ef3c1e3-5fc9-487d-bc66-2c2bd7822501 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:44.256987Z
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.
Observation 6b0533ad-679a-4a10-97fc-bfdb014aaa43 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:44.237296Z
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.
Observation 2d393d25-2fbf-42e8-97bb-f16a816b57fc · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:44.217216Z
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.
Observation 65071335-41ac-4aed-a696-652ae5a58f24 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:44.199984Z
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.
Observation 01f30b80-48c6-4754-a118-538cb291015f · outbound
This paper cites Duquesne.
Kummers, spinors, and heights Duquesne
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:05:44.180773Z
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.
Observation fb3be3ca-c0d1-4d43-a9af-afc5c8dc51e0 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:43.933377Z
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.
Observation cce07b9d-b7e2-4802-a5c7-8b5cdf965538 · outbound
This paper cites Gruson, S.
Kummers, spinors, and heights Gruson, S
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:05:43.550242Z
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.
Observation 72ea5ea5-17ee-45da-aa7e-11347eb6df52 · outbound
This paper cites Hartshorne.
Kummers, spinors, and heights Hartshorne
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:05:36.666851Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 88582a8f-f245-4629-940f-4f5aa99911da · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:43.303696Z
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.
Observation 6888e654-a240-45ed-8fd9-ce36f4a76351 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:43.219922Z
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.
Observation 23163ac8-69e5-448c-97f4-a011308c779e · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:43.077645Z
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.
Observation 836fe246-3e47-41b1-8579-0185fe60fea7 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:42.933131Z
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.
Observation 289f3350-ec51-4196-8ac1-de6126c25ced · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:42.779153Z
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.
Observation a2e8113b-7092-4111-a624-6cd6aa1aba05 · outbound
This paper cites 100% of odd hyperelliptic Jacobians have no rational points of small height.
Kummers, spinors, and heights 100% of odd hyperelliptic Jacobians have no rational points of small height
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:05:36.987692Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9080d580-df3b-41bd-a011-3b5bd86db957 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:42.660811Z
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.
Observation de95a588-9ed8-458e-ae96-d8aaccf4729b · outbound
This paper cites Lockhart.
Kummers, spinors, and heights Lockhart
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:05:42.511220Z
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.
Observation f11634e5-fd00-4a81-b141-57a33cb4aa8f · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:42.337815Z
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.
Observation 3198b9c2-e268-45a6-bf3c-25b7c0d999ce · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:05:37.202146Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93207a97-a045-47ac-9a0e-628e510afebb · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:42.203522Z
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.
Observation 4b2d3549-9b04-49e9-8d02-d344aec25426 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:42.048458Z
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.
Observation cbf6b01a-0f21-4ec6-a887-c300724ed2e1 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:41.833453Z
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.
Observation 503befc3-a880-4171-aba4-181422aa154f · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:41.696041Z
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.
Observation d8595d41-c675-40e5-867c-d8c2403478be · outbound
This paper cites Ramanathan.
Kummers, spinors, and heights Ramanathan
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:05:41.532381Z
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.
Observation 9186a7fa-92f4-40f4-bf96-678340bf06bf · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:41.360543Z
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.
Observation bfa65f94-8acb-41d3-9219-572a1988f066 · outbound
This paper cites Serre.Local fields, volume 67 ofGraduate Texts in Mathematics.
Kummers, spinors, and heights Serre.Local fields, volume 67 ofGraduate Texts in Mathematics
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:05:41.233379Z
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.
Observation 4a954ee8-77b2-4757-9a3f-4c8cde4660dd · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:40.765242Z
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.
Observation 8f8ee45d-7daf-4b86-896e-c72ea053eafc · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:40.439952Z
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.
Observation 09b0ee20-32da-4c8f-80f1-e0cc0918daff · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:39.950679Z
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.
Observation dea4c971-08a0-4689-8f01-335eef51ec92 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:39.644915Z
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.
Observation 9ef0a99f-bfa8-455a-bb6e-ce66ad78653c · outbound
This paper cites The Stacks project.https://stacks.math.columbia.edu, 2024.
Kummers, spinors, and heights The Stacks project.https://stacks.math.columbia.edu, 2024
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:05:38.393959Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ba84864-1d57-46d4-9ef6-74534f6b10ba · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:05:38.494544Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c7297a88-bf14-4f9a-8103-1e8878268956 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:39.283732Z
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.
Observation c142f8cb-6382-4585-9415-665d5b141294 · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:39.017254Z
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.
Observation d541cbd5-5d4b-4153-9d07-3a060f5c48ed · outbound
This paper cites an unresolved cited work.
Kummers, spinors, and heights Unresolved cited work
Reference 1979
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:05:41.102467Z
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.
Pith citing papers
No inbound Pith citation observations are available.