Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T10:22:38.781242Z
Paper Citation Record · LEDGER
Globally hyperbolic spacetimes can be defined without the 'causal' condition
As of 24 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:1908.11701.
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 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-26T16:28:22.561103Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T04:59:36.872379Z
Reference resolution
38 of 38 outbound references displayed
- verified exact3
- verified fuzzy8
- unresolved27
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1ba83f35-04dc-42dc-98e2-2c90dd556184 · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.255263Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e004f743-c9d6-4bda-9c6c-c10f8cb77b49 · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.244434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d3fea315-80cf-4224-893d-563890a4d38e · outbound
This paper cites Bernard and S.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Bernard and S
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:22:39.233393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 80470e25-4db0-48a5-8953-48ddc814af1c · outbound
This paper cites Caponio, M.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Caponio, M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:22:39.223219Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0fa58702-9d8e-48d0-ac0b-3161a57eca71 · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.212264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 02f75473-5fd6-4930-89b9-5e405856372a · outbound
This paper cites Choquet-Bruhat and R.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Choquet-Bruhat and R
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:22:39.201345Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5278b50c-931a-4fa3-96ec-599c6d70e6c4 · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.188957Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b120a9ca-8826-44cd-8db6-e1169370b2a2 · outbound
This paper cites On differentiability of volume time functions.
Globally hyperbolic spacetimes can be defined without the 'causal' condition On differentiability of volume time functions
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:22:38.933250Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 48b25799-6ed4-4c9a-9bc8-c720d53f395d · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.177199Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4efc0746-014b-4c7b-a9cf-cc0b5fb45c46 · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.165405Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 264b2473-0cbe-45be-9573-e9cc4a9273d9 · outbound
This paper cites Fathi and A.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Fathi and A
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:22:39.154127Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3d382e73-abd1-44cc-9500-05c43701fb86 · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.142553Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6da68193-80ed-4075-a6f6-9d9c37624f24 · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.130972Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fde65b6f-bac3-4162-b536-4ce46bad6eef · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.119357Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 329f1c4d-4390-4a73-bf0d-881dacbd29a7 · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.107875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ffe56122-94e2-4d50-8cda-c5932574a36f · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.096653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 48fa6a9a-8265-4800-8539-07024df2b94c · outbound
This paper cites Hedicke and S.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Hedicke and S
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:22:38.702975Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 58cf3039-cf1f-45f5-aeb8-bce48728137a · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.084813Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f3b477de-62d5-4929-8c1e-3f2996b4409f · outbound
This paper cites Krasnikov.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Krasnikov
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:22:39.071965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 00658799-a229-4a2f-bd70-13c6b16b448a · outbound
This paper cites A regularisation approach to causality theory for $C^{1,1}$-Lorentzian metrics.
Globally hyperbolic spacetimes can be defined without the 'causal' condition A regularisation approach to causality theory for $C^{1,1}$-Lorentzian metrics
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:22:38.713978Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3c993458-55a6-4d48-9e31-87d27cd80bbe · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.059035Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 708fea44-b3ea-4495-9b9e-684629330b6b · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.045863Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9b4e58d5-0d07-4ba9-8dd1-6d07f9f47f6a · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.032193Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9c35b9ea-f11f-4d01-a6c5-5d60afaa5119 · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:39.019015Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 724a9f72-4569-42cd-9e6b-3b6e7d91361c · outbound
This paper cites Eisenhart's theorem and the causal simplicity of Eisenhart's spacetime.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Eisenhart's theorem and the causal simplicity of Eisenhart's spacetime
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:22:38.903757Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation cfde9cb7-1474-4830-9de3-d64a07a2380a · outbound
This paper cites On the causal properties of warped product spacetimes.
Globally hyperbolic spacetimes can be defined without the 'causal' condition On the causal properties of warped product spacetimes
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:22:38.885830Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e19f4e0f-819e-4705-ab79-bae8c8db3523 · outbound
This paper cites Characterization of some causality conditions through the continuity of the Lorentzian distance.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Characterization of some causality conditions through the continuity of the Lorentzian distance
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:22:38.739758Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b70abfc9-453e-4927-85e8-706a4d4dddba · outbound
This paper cites Causally simple inextendible spacetimes are hole-free.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Causally simple inextendible spacetimes are hole-free
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:22:38.743860Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e58384a-0780-4eeb-a4cf-249f1c711bf2 · outbound
This paper cites Convexity and quasi-uniformizability of closed preordered spaces.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Convexity and quasi-uniformizability of closed preordered spaces
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:22:38.747844Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2fc5d6af-0a55-4e83-b241-66e1c32f96e7 · outbound
This paper cites Convex neighborhoods for Lipschitz connections and sprays.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Convex neighborhoods for Lipschitz connections and sprays
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:22:38.751634Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 858cf2c6-2668-4a74-8620-90b891674997 · outbound
This paper cites Causality theory for closed cone structures with applications.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Causality theory for closed cone structures with applications
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:22:38.755624Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ccd1a9d-5699-4a8a-aab9-8fb6e17cc66a · outbound
This paper cites Minguzzi.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Minguzzi
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:22:38.759659Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29571eff-43ed-458f-ba66-92163db0446f · outbound
This paper cites M¨ uller.
Globally hyperbolic spacetimes can be defined without the 'causal' condition M¨ uller
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:22:39.006020Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 119e6f91-fe7c-48f4-9d56-99ff7732de82 · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:22:38.766896Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 897513cb-9773-4747-9866-f4f23caa20d6 · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:38.985721Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fc1ebd98-3274-4df1-9781-117716d02d2e · outbound
This paper cites S¨ amann.
Globally hyperbolic spacetimes can be defined without the 'causal' condition S¨ amann
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:22:38.972658Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0dee10bd-dec5-4af0-abfd-351b640b9665 · outbound
This paper cites Sbierski.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Sbierski
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:22:38.959442Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 00b9be06-bd84-4bb2-8d02-04359d4148af · outbound
This paper cites an unresolved cited work.
Globally hyperbolic spacetimes can be defined without the 'causal' condition Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:22:38.947166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
Observation 05ffd9df-1c1d-4300-b4a0-aef07e5339e4 · inbound
Impossibility of superluminal signalling rules out causal loops in conical spacetimes cites this paper.
Impossibility of superluminal signalling rules out causal loops in conical spacetimes Globally hyperbolic spacetimes can be defined without the 'causal' condition
Reference 29
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T04:59:36.874678Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.