Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:57:07.101954Z
Paper Citation Record · LEDGER
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces
As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.02526.
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 2026-08-15T06:32:42.880941+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
24 of 24 outbound references displayed
- verified exact1
- verified fuzzy18
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9ab849a8-86d4-4ff2-8595-1aed2ae7e5a8 · outbound
This paper cites Artin, On isolated rational singularities of surface s, Amer.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Artin, On isolated rational singularities of surface s, Amer
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.610317Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1d1af2a7-0917-4509-9301-6d74cd402eeb · outbound
This paper cites Bright, Brauer groups of singular del Pezzo surfaces, Michigan Math.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Bright, Brauer groups of singular del Pezzo surfaces, Michigan Math
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.591294Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1e2883f8-aec5-468a-8a1c-419075d01172 · outbound
This paper cites an unresolved cited work.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:57:07.572883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b76636ec-30c5-40b0-9fe8-ee8f84a556cd · outbound
This paper cites Colliot-Thélène, A.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Colliot-Thélène, A
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.554620Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e75d11dc-759e-4c7e-9308-49cf7d21b113 · outbound
This paper cites Colliot-Thélène, O.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Colliot-Thélène, O
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.535231Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 102c11e8-5f6a-4b2b-a390-7ac8e15b6b4a · outbound
This paper cites Colliot-Thélène, D.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Colliot-Thélène, D
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.515749Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f6c2c836-9da4-493c-981c-6dce6b019a69 · outbound
This paper cites Colliot-Thélène, F.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Colliot-Thélène, F
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.493812Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 724db6de-a739-404c-b717-e3c6fda2db6b · outbound
This paper cites Elsholtz, T.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Elsholtz, T
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.474266Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6116c51a-00a3-4437-a66b-2e32286822b4 · outbound
This paper cites Grothendieck, Le groupe de Brauer, III.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Grothendieck, Le groupe de Brauer, III
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.454242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f687cfd3-dde2-4fba-afd1-e6ec4f921aad · outbound
This paper cites Gille, T.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Gille, T
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.434742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d6ad8fad-2e72-463d-8797-c554eec3914e · outbound
This paper cites Harpaz, Geometry and arithmetic of certain log K3 sur faces.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Harpaz, Geometry and arithmetic of certain log K3 sur faces
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.416494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cc53647e-dcd0-46a3-83ee-c9e6b7d596c9 · outbound
This paper cites Harpaz, Integral points on conic log K3 surfaces.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Harpaz, Integral points on conic log K3 surfaces
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.398078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e67d8c73-fdc1-4763-9abd-a636599a12af · outbound
This paper cites Jahnel, D.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Jahnel, D
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.379877Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1a326229-c92d-46c0-b20c-252782b08319 · outbound
This paper cites an unresolved cited work.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:57:07.360581Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8af0a00e-8784-4bdd-ac0c-fe59c08af5e3 · outbound
This paper cites an unresolved cited work.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:57:07.342903Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 48c0a915-bec2-4163-963e-68408e6a7dbc · outbound
This paper cites Lipman, Rational singularities, with applications to algebraic surfaces and unique fac- torization.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Lipman, Rational singularities, with applications to algebraic surfaces and unique fac- torization
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.324165Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8a758ca2-076e-44f8-878c-3a8e4f49a428 · outbound
This paper cites Loughran, V.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Loughran, V
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.302994Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 808b54cb-c98b-4593-8563-bb6493e93ea3 · outbound
This paper cites an unresolved cited work.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:57:07.284271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 359cfc44-b121-4d0d-a00d-72d797500f42 · outbound
This paper cites an unresolved cited work.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:57:07.264688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cae6d982-d0fc-4fba-9b43-fb89ceef1d72 · outbound
This paper cites Poonen, Rational points on varieties, Graduate Studies in Mathematics, vol.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Poonen, Rational points on varieties, Graduate Studies in Mathematics, vol
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.244886Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6c2a1132-47eb-4156-ae70-befbcfe69c5c · outbound
This paper cites Serre, A course in arithmetic , Graduate Texts in Mathematics, No.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Serre, A course in arithmetic , Graduate Texts in Mathematics, No
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.223830Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 81d1d6a7-3001-434c-a23c-157a3f6b5b79 · outbound
This paper cites Sierpiński, Sur les décompositions de nombres ratio nnels en fractions primaires, Math- esis 65 (1956), 16–32,.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Sierpiński, Sur les décompositions de nombres ratio nnels en fractions primaires, Math- esis 65 (1956), 16–32,
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.201261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a1f2e7fa-73c4-4c8f-8f82-0603aae13945 · outbound
This paper cites Strong approximation for a toric variety.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Strong approximation for a toric variety
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:57:07.152414Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c65368c5-953e-47b1-a2d7-7def7d70db72 · outbound
This paper cites Yamamoto, On the Diophantine equation 4 n = 1 x + 1 y + 1 z , Mem.
Brauer-Manin obstruction for Erd\H{o}s-Straus surfaces Yamamoto, On the Diophantine equation 4 n = 1 x + 1 y + 1 z , Mem
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:57:07.176295Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
No inbound Pith citation observations are available.