Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T20:34:01.201134Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2501.19371.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T20:34:01.201134Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:08:35.512840Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-16T00:08:36.401185Z
45 of 45 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f7fcaaae-4cd8-451d-bf41-189694bba37d · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a9be81e1-8d44-4b5b-abfa-cb5c5045b6e7 · outbound
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f1ee8d29-1fe3-4072-9eaa-69827897ea12 · outbound
Kitaoka's Conjecture for quadratic fields Uber die Darstellung von positiven, ganzen Zahlen durch die primitiven bin\
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5e2e70ab-beb8-4b4b-a31b-9fc139df4265 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bb9a12e3-2c61-4f12-a0d1-ad68c9a1980a · outbound
Kitaoka's Conjecture for quadratic fields Bhargava, On the Conway-Schneeberger fifteen theorem, Contemp
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a35b41e8-c9e8-4b6d-b00e-77871938807d · outbound
Kitaoka's Conjecture for quadratic fields Bhargava, J
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9e2aef1c-6a9f-40a0-8fd7-6ce8b45fad3a · outbound
Kitaoka's Conjecture for quadratic fields Coprime-Universal Quadratic Forms
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f1f276ca-4730-4f49-bb69-957ced709239 · outbound
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8b8d4918-32b7-4745-b015-89bb64447b06 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b20baa17-5aa6-41c2-9776-f0d0e6dd6ad5 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 790313d4-77c2-4842-988b-77f93b2e697d · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8c996d7e-2c80-40b5-aea5-a5a07c412d47 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation eae1dd2e-1f0b-415b-b51c-74771cfc9b68 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d626dd96-aa6d-4def-8147-52e59fd37d12 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b0d80b0d-4e57-4d5e-800a-34df00599a63 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation db362b71-c6b4-4065-81b3-10bb10112cfc · outbound
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 14347958-5db9-4361-b3d6-6181ffa8b42d · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bc8b4d7d-9dde-4609-86b3-49c9f0485d09 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a5d787f1-5485-48f5-9554-df467b99121f · outbound
Kitaoka's Conjecture for quadratic fields Kala, Universal quadratic forms and elements of small norm in real quadratic fields , Bull
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bacb6094-7fdd-4f58-97da-b032ac6d3f15 · outbound
Kitaoka's Conjecture for quadratic fields Kala, Universal quadratic forms and indecomposables in number fields: A survey , Commun
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7f2b2811-732e-4a2f-a66b-150762ec525e · outbound
Kitaoka's Conjecture for quadratic fields Kala, Number fields without universal quadratic forms of small rank exist in most degrees, Math
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27e872aa-e007-4879-89d1-f3d87d7e1783 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ab939300-8850-46f8-ae80-c8d0ea2a09df · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 05f45f30-15a8-4465-a6cb-c2c7414971db · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1a23d5fb-1a1f-46b4-9389-64f7b0079064 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 32017197-6700-40b5-bca2-93d58b5005d7 · outbound
Kitaoka's Conjecture for quadratic fields Real quadratic fields with a universal quadratic form of given rank have density zero
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 63b14c2f-e35b-49a2-8329-347e8d783100 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4b99def4-626a-43ad-a464-51d360b939c3 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e6f27f53-29b5-429e-aa15-2bdc2041f455 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5b4207f5-8034-4879-8de3-60a3336bc65d · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ee4275c0-9124-44e3-b4c5-a7b878625c53 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0b892198-f9e6-44d1-8f40-c016d83c8447 · outbound
Kitaoka's Conjecture for quadratic fields Kim, Recent developments on universal forms, Contemp
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1a68f06c-5955-42da-bfc8-7e585d900548 · outbound
Kitaoka's Conjecture for quadratic fields Kirmse, Zur Darstellung total positiver Zahlen als Summen von vier Quadraten, Math
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9c39b75b-85dd-45c3-a68b-866a4f3d4eda · outbound
Kitaoka's Conjecture for quadratic fields Kr \'a sensk \'y , M
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d4eefd59-593c-4217-8cd2-f91ca5f7db73 · outbound
Kitaoka's Conjecture for quadratic fields Lamzouri, X
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 15ac054d-a46b-4276-a341-db9ba2dd960c · outbound
Kitaoka's Conjecture for quadratic fields U ber die D arstellung total positiver Z ahlen des K \
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c891f2a5-55f7-4864-b82a-f6fb25f72349 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0447b4c9-0956-4031-9f0c-50ba050c7a92 · outbound
Kitaoka's Conjecture for quadratic fields Marcus, Determinants of Sums, College Math
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2990b844-8c47-4296-9f5a-c14f7f2dfc0c · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ad218060-8f12-4c0f-826c-a186d787b0cf · outbound
Kitaoka's Conjecture for quadratic fields Ra ska, Representing multiples of m in real quadratic fields as sums of squares, J
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation eed89147-4bdd-420d-9a92-6e5d4373384d · outbound
Kitaoka's Conjecture for quadratic fields Sasaki, Quaternary universal forms over (\! 13 ) , Ramanujan J
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3056109a-d3ba-496a-9df8-09fda044c6a8 · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 46bbcc93-34df-41e5-be5a-b6bbcac93e76 · outbound
Kitaoka's Conjecture for quadratic fields Trevi\ n o, The least k-th power non-residue, J
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 36d7336a-a482-44a0-bcdd-c30bf275135f · outbound
Kitaoka's Conjecture for quadratic fields Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e5b1c094-c282-40f2-9f7a-0a988dc2acd0 · outbound
Kitaoka's Conjecture for quadratic fields Yatsyna, A lower bound for the rank of a universal quadratic form with integer coefficients in a totally real field , Comment
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 59d75ffd-d8ab-4b75-95ec-cbce361e4663 · inbound
Escalations and criteria over real quadratic fields Kitaoka's Conjecture for quadratic fields
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.