Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:13:24.554443Z
Paper Citation Record · LEDGER
On the union of essentially distinct $\delta$-tubes
As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.06000.
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 2026-08-16T06:30:59.297886+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
12 of 12 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 546fb965-b642-490c-8a4f-7b18d9201385 · outbound
This paper cites 2, 337–345.
On the union of essentially distinct $\delta$-tubes 2, 337–345
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:13:26.017327Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7264df80-fed5-469e-9bda-dbc48380ce7b · outbound
This paper cites 2, 147–187.
On the union of essentially distinct $\delta$-tubes 2, 147–187
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:13:25.925584Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ce8c0b33-f90d-4baa-b4a8-bad776abc11a · outbound
This paper cites 2, 256–282.
On the union of essentially distinct $\delta$-tubes 2, 256–282
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:13:25.679754Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 52dcf99d-6af4-4649-afa0-6a2165c5b92a · outbound
This paper cites 6, 891–910.
On the union of essentially distinct $\delta$-tubes 6, 891–910
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:13:25.618706Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7616c8f6-aa1e-4fb1-9e82-8c691dc665dd · outbound
This paper cites Gruber, Chapter 1.10 - aspects of approximation of convex bodies , Handbook of Convex Geometry (P.M.
On the union of essentially distinct $\delta$-tubes Gruber, Chapter 1.10 - aspects of approximation of convex bodies , Handbook of Convex Geometry (P.M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:13:25.555091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9be734a4-fbcb-483e-a3a9-0521bac531ec · outbound
This paper cites 6, 625–630.
On the union of essentially distinct $\delta$-tubes 6, 625–630
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:13:25.498308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 06964755-4e66-439a-9078-b156b1d199cd · outbound
This paper cites 1, 231–263.
On the union of essentially distinct $\delta$-tubes 1, 231–263
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:13:25.387321Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 12d19aec-8c12-4f87-b8da-e30819dcc8f2 · outbound
This paper cites Gruber and J.M.
On the union of essentially distinct $\delta$-tubes Gruber and J.M
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:13:25.284316Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6ada7a9c-971d-436c-9a98-2849edc5bdc3 · outbound
This paper cites 3, 623–644.
On the union of essentially distinct $\delta$-tubes 3, 623–644
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:13:25.236085Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 61ddfe78-ae45-4f25-9021-b62ed2a8b595 · outbound
This paper cites Ren, Topics in integral geometry , Pure Mathematics, W orld Scientific, 1994.
On the union of essentially distinct $\delta$-tubes Ren, Topics in integral geometry , Pure Mathematics, W orld Scientific, 1994
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:13:25.013572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 45d131fb-8a0e-436f-9bac-203f6277496f · outbound
This paper cites an unresolved cited work.
On the union of essentially distinct $\delta$-tubes Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:13:24.809978Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ad02325c-3139-424a-9789-9e1e4bed7db5 · outbound
This paper cites 3, 651–674.
On the union of essentially distinct $\delta$-tubes 3, 651–674
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:13:24.699297Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.