Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:08:36.190445Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 0 inbound Pith citation observations for arXiv:2608.12648.
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 2026-08-16T00:08:36.190445Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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
62 of 62 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 4bd147bf-2faa-4b88-940a-4fb2ecf136fd · outbound
Escalations and criteria over real quadratic fields Coprime-Universal Quadratic Forms
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8b9424d-55d1-4bd1-8575-41e6991b9e03 · outbound
Escalations and criteria over real quadratic fields Bosma, J
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da4d7a12-4928-4456-b85b-ae2062bf3208 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4f16edb5-326b-4e50-816a-150cea8c4fd8 · outbound
Escalations and criteria over real quadratic fields Universal integral quadratic forms over dyadic local fields
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 671c8762-cea3-4981-a4f2-4344f60a4cb1 · outbound
Escalations and criteria over real 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 2026-08-17T06:30:58.91139+00:00.
Observation 058f6dfa-a617-4999-b8da-783a121dcf30 · outbound
Escalations and criteria over real quadratic fields Bhargava, J
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c4cdb1d-9fe1-4b72-868c-3fee88ebc73f · outbound
Escalations and criteria over real quadratic fields Blomer, V
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6b85bfa-7407-4ce7-8ff2-00538dec7ab8 · outbound
Escalations and criteria over real quadratic fields Blomer, V
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d373dde5-c874-4315-b3c6-29227e92dd99 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2aa09b1a-59b5-49f9-9d6e-74c413255ab4 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a8357710-ec36-486a-b62c-50a989c6ccd3 · outbound
Escalations and criteria over real quadratic fields DeBenedetto, Quadratic forms representing all primes, Involve 7 (2014), 619--626
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4e6845c1-c3c0-4787-be1b-f9068447d076 · outbound
Escalations and criteria over real quadratic fields DeBenedetto, J
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3c205580-b5b4-413e-8618-8b995463c2c7 · outbound
Escalations and criteria over real quadratic fields Doyle, K
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation aae94898-8ead-43b5-8753-01ef3f70a9af · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f36e0ba0-86f8-4242-81cb-4f0e8d13b0d5 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c819c66e-f094-44fa-996b-f11503810175 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation aeb6d2d5-dbac-45f3-b192-bf2bf263f454 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d427b691-1d8b-4849-9774-325dff71a528 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6b2cfb93-d209-4685-928a-45da18fe9182 · outbound
Escalations and criteria over real quadratic fields Hejda, V
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8899f2dc-0e14-4e1e-b145-85a89ed4e204 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 39349366-6858-4ee3-84ca-b0e41ce2fc16 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c2148194-a0b9-4a87-b3fd-a73a53b5de1b · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 46295e6a-f960-4c80-a822-0f59ec59ddd3 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation bfb7bbfa-0168-4b30-84b5-02d810a9c9b1 · outbound
Escalations and criteria over real quadratic fields Kala, Universal quadratic forms and elements of small norm in real quadratic fields, Bull
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1551ad2-c6fe-40a7-a18b-830d716aac00 · outbound
Escalations and criteria over real quadratic fields Kala, Number fields without universal quadratic forms of small rank exist in most degrees, Math
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8ae8f7a-ee97-4911-b2e5-b15b5a3e836f · outbound
Escalations and criteria over real quadratic fields Kala, Universal quadratic forms and indecomposables in number fields: A survey, Commun
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1247d150-206e-491b-a25d-8dd7acab185b · outbound
Escalations and criteria over real quadratic fields Kaplansky, Ternary positive quadratic forms that represent all odd positive integers, Acta Arith
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 50001ba2-6c61-47a8-87c0-3e5d1cbef0f9 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 846d70df-95dd-448e-9886-5abba51d3e3e · outbound
Escalations and criteria over real quadratic fields Kim, Recent developments on universal forms, Contemp
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83f5c842-1360-41ad-bfb3-4c70af261307 · outbound
Escalations and criteria over real quadratic fields Kirschmer, One-class genera of maximal integral quadratic forms, J
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d2f0f3b6-11a1-4702-9548-06e2e96d9714 · outbound
Escalations and criteria over real quadratic fields Kirschmer, D
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4b58f5fd-6a97-4519-b4ab-5060845b3402 · outbound
Escalations and criteria over real quadratic fields Kramer, J
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2efec076-0d58-4385-a1b9-fd1ac059fd08 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fee635f8-88d8-4002-a054-0480b66d25c7 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 44a848c3-501f-485f-9f03-6d9d1bacd639 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0bc4b560-3fa7-4c62-8920-01c8d0e6b42b · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 43fbfc0a-877b-4eea-8045-707efd9c42ff · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 79e8e8eb-8bd1-4a1d-aa97-f971e8f37fee · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 59d75ffd-d8ab-4b75-95ec-cbce361e4663 · outbound
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 2026-08-17T06:30:58.91139+00:00.
Observation 91493470-ac57-4d55-b084-3fe28c95df3a · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation edc66e17-3173-4631-b534-ace35ac740db · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9e677e9c-d742-4b95-acba-da84b17e65ba · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cb840985-ea16-481a-93ce-feaaed21022b · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a0d83bb1-37b3-4006-9b32-0c576b9a35fe · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 46bbbe97-f1d1-4ba2-b01b-ae23dabda97c · outbound
Escalations and criteria over real quadratic fields Krásenský, How small can a universality criterion be?, in preparation
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d3592db6-b600-4467-a25e-3315d6be4be3 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e123b8e-313e-4789-82c1-db640909efa9 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b4c3790-0bb6-42c2-b39f-8a6ce392045d · outbound
Escalations and criteria over real quadratic fields Krásenský, M
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27acafee-0ddd-4386-8278-4e6c6b4361ad · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 334bc925-b529-4e7d-810f-5c1f66b6011b · outbound
Escalations and criteria over real quadratic fields Even better sums of squares over quintic and cyclotomic fields
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8b2008e7-bb1a-4261-8293-60938820c74e · outbound
Escalations and criteria over real quadratic fields Real quadratic fields with a universal quadratic form of given rank have density zero
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6c42bd0-6539-4b87-9992-6a4b270a6fa0 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 559a9db0-2a9d-4d09-bdb4-ee974b4370b2 · outbound
Escalations and criteria over real quadratic fields U ber die D arstellung total positiver Z ahlen des K \
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 146d10aa-b643-41d8-bc53-9dca3f8c3005 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 17a49504-91e2-4045-b9d1-d0ddc1936e90 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 19f796d9-48a5-4285-a7df-fe0129423be2 · outbound
Escalations and criteria over real quadratic fields Oh, Universal Z-lattices of minimal rank, Proc
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3261beea-d9c5-4ef1-8afd-52653fd806ee · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e7cbf47b-0337-4dad-b1b0-679301f69f70 · outbound
Escalations and criteria over real quadratic fields Ramanujan, On the expression of a number in the form ax^2 + by^2 + cz^2 + du^2 , Proc
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8ca3251f-438a-417d-af69-f2f8cb8dc82f · outbound
Escalations and criteria over real quadratic fields Rouse, Quadratic forms representing all odd positive integers, Amer
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2593f776-0641-4a50-9982-cbb9132e8359 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e91b0fe0-b904-4375-94a4-f2936835b9b2 · outbound
Escalations and criteria over real quadratic fields Unresolved cited work
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0b85d57a-831a-490d-bb4a-61b3fc950f66 · outbound
Escalations and criteria over real quadratic fields Yatsyna, A lower bound for the rank of a universal quadratic form with integer coefficients in a totally real field, Comment
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
No inbound Pith citation observations are available.