Paper Citation Record · LEDGER

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry

As of 18 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 4 inbound Pith citation observations for arXiv:2506.10852.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.10852 v1

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measured 64 of 64 reference resolution

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Reference resolution

64 of 64 outbound references displayed

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External citation measurements

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Outbound references

Observation 78808920-6213-4232-a4ba-4af592d12681 · outbound

This paper cites an unresolved cited work.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

Reference 1

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Observation a9894f53-b364-4ded-9cb5-86f1cc361f6f · outbound

This paper cites Allen and A.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Allen and A

Reference 2

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Observation 39a8d6c8-713e-4b5f-bbf8-3908fd71930d · outbound

This paper cites Ambrosio, N.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Ambrosio, N

Reference 3

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This paper cites A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes

Reference 4

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This paper cites Billingsley, Convergence of probability measures, Second, Wiley Series in Probability and Statistics: Probability and Statistics, John Wiley & Sons, Inc., New York, 1999.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Billingsley, Convergence of probability measures, Second, Wiley Series in Probability and Statistics: Probability and Statistics, John Wiley & Sons, Inc., New York, 1999

Reference 5

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This paper cites an unresolved cited work.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

Reference 6

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Observation bd024f5e-02e7-4794-9e02-f17ee50293c7 · outbound

This paper cites Bombelli,Statistical Lorentzian geometry and the closeness of Lorentzian manifolds, J.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Bombelli,Statistical Lorentzian geometry and the closeness of Lorentzian manifolds, J

Reference 7

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Observation 69de6113-30c4-456e-9f15-176231900229 · outbound

This paper cites Bombelli, J.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Bombelli, J

Reference 8

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This paper cites Bombelli and J.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Bombelli and J

Reference 9

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Observation 0dfea278-b7bb-4ea2-a7b3-58f700cf0821 · outbound

This paper cites Lorentzian Manifolds and Causal Sets as Partially Ordered Measure Spaces.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Lorentzian Manifolds and Causal Sets as Partially Ordered Measure Spaces

Reference 10

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Observation 8c94009b-f5b6-4b8f-9978-ca70c7dc12bd · outbound

This paper cites Boutin and G.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Boutin and G

Reference 11

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Observation 5459ddf1-c610-4715-8888-52b6907cafdd · outbound

This paper cites Braun,Rényi’s entropy on Lorentzian spaces.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Braun,Rényi’s entropy on Lorentzian spaces

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.471598Z

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Observation f9f406ac-07a0-4f6d-8492-54fca2c10b81 · outbound

This paper cites New perspectives on the d'Alembertian from general relativity. An invitation.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry New perspectives on the d'Alembertian from general relativity. An invitation

Reference 13

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This paper cites Causal convergence conditions through variable timelike Ricci curvature bounds.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 14

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Observation e8504ded-8590-4089-8484-3be07c3e69d6 · outbound

This paper cites Brenier, Polar factorization and monotone rearrangement of vector-valued functions, Comm.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Brenier, Polar factorization and monotone rearrangement of vector-valued functions, Comm

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.462814Z

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Observation 9ef98f20-38bb-4998-81c3-57c55a2cde5f · outbound

This paper cites Burago, Y.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Burago, Y

Reference 16

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Observation 949921b9-3058-4986-8b4b-4a3a3bdc4192 · outbound

This paper cites Busemann,Timelike spaces, Dissertationes Math.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Busemann,Timelike spaces, Dissertationes Math

Reference 17

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Observation 21404c70-cb63-4e81-9d7e-1a0a7541fcf9 · outbound

This paper cites Lorentzian metric spaces and GH-convergence: the unbounded case.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Lorentzian metric spaces and GH-convergence: the unbounded case

Reference 18

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Observation 6b207db2-ddcc-4851-9a54-5f74d0a08c7e · outbound

This paper cites Cavalletti and A.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Cavalletti and A

Reference 19

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Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

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Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

Reference 21

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Observation 2f2c5674-660f-42cf-a078-5dbe9fe321e7 · outbound

This paper cites de Haro, K.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry de Haro, K

Reference 22

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This paper cites Dowker and S.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Dowker and S

Reference 23

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This paper cites Fukaya,Collapsing of Riemannian manifolds and eigenvalues of Laplace operator, Invent.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Fukaya,Collapsing of Riemannian manifolds and eigenvalues of Laplace operator, Invent

Reference 24

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This paper cites Geroch,Domain of dependence, J.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Geroch,Domain of dependence, J

Reference 25

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This paper cites Gigli, Hyperbolic Banach spaces I — Directed completion of partial orders, Preprint, arXiv:2503.10467 [math.FA] (2025).

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Gigli, Hyperbolic Banach spaces I — Directed completion of partial orders, Preprint, arXiv:2503.10467 [math.FA] (2025)

Reference 26

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This paper cites Gigli, A.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Gigli, A

Reference 27

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Observation b5cce30c-bb0b-46ef-8fe6-b176d8e873a6 · outbound

This paper cites Greven, P.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Greven, P

Reference 28

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Observation 8340c461-12ad-49ae-92c1-996549231106 · outbound

This paper cites Gromov, Metric structures for Riemannian and non-Riemannian spaces, Progress in Mathematics, vol.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Gromov, Metric structures for Riemannian and non-Riemannian spaces, Progress in Mathematics, vol

Reference 29

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This paper cites Kondo,Probability distribution of metric measure spaces, Differential Geom.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Kondo,Probability distribution of metric measure spaces, Differential Geom

Reference 30

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Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

Reference 31

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Observation fb905787-545b-4fe4-8bc7-30fed25afb3e · outbound

This paper cites Kunzinger and C.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Kunzinger and C

Reference 32

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Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Kunzinger and R

Reference 33

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Observation a07c64c8-1d31-4bb3-aeb1-0fdbe21b4df1 · outbound

This paper cites Lévy,Problèmes concrets d’analyse fonctionnelle.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Lévy,Problèmes concrets d’analyse fonctionnelle

Reference 34

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This paper cites Ling,A lower semicontinuous time separation function forC0 spacetimes, Annales Henri Poincare, to appear (2024).

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Ling,A lower semicontinuous time separation function forC0 spacetimes, Annales Henri Poincare, to appear (2024)

Reference 35

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This paper cites Löhr,Equivalence of Gromov-Prohorov- and Gromov’s□λ-metric on the space of metric measure spaces, Electron.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Löhr,Equivalence of Gromov-Prohorov- and Gromov’s□λ-metric on the space of metric measure spaces, Electron

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.308185Z

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Observation a3b68617-8922-4f22-b126-42fe70aa0c79 · outbound

This paper cites Lovász,Large networks and graph limits, American Mathematical Society Colloquium Publications, vol.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Lovász,Large networks and graph limits, American Mathematical Society Colloquium Publications, vol

Reference 37

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Observation 3964b264-232e-4245-af31-d22809028e5c · outbound

This paper cites McCann,Displacement concavity of Boltzmann’s entropy characterizes positive energy in general relativity, Camb.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry McCann,Displacement concavity of Boltzmann’s entropy characterizes positive energy in general relativity, Camb

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.291396Z

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Observation 1cba4139-20aa-4beb-afdc-9a594d8a11a6 · outbound

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Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

Reference 39

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Observation 55ff5e64-f598-46b4-8d95-36eb2360f516 · outbound

This paper cites Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems

Reference 40

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Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

Reference 41

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Observation 70f4b98a-25a8-408e-a7d8-b72bffd2d13d · outbound

This paper cites Mémoli,Gromov-Wasserstein distances and the metric approach to object matching, Found.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Mémoli,Gromov-Wasserstein distances and the metric approach to object matching, Found

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.266139Z

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Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

Reference 43

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Observation 8eca1e00-3799-4cf6-b3d3-6824aad80c33 · outbound

This paper cites Lévy in geometrical functional analysis, 1988, pp.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Lévy in geometrical functional analysis, 1988, pp

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.248035Z

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This paper cites Minguzzi and S.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Minguzzi and S

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.237912Z

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Observation 7d2a389f-4ec3-499e-821f-39cfe94aec3f · outbound

This paper cites Lorentzian Gromov-Hausdorff convergence and pre-compactness.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Lorentzian Gromov-Hausdorff convergence and pre-compactness

Reference 46

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Observation 5d46c2ac-b801-43d6-b365-07422f271883 · outbound

This paper cites Mondino and S.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Mondino and S

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.229390Z

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This paper cites Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces

Reference 48

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This paper cites Müller,On the Hauptvermutung of causal set theory, Preprint, arXiv.2503.01719 [math.DG] (2025).

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Müller,On the Hauptvermutung of causal set theory, Preprint, arXiv.2503.01719 [math.DG] (2025)

Reference 49

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Observation b3a39b82-4c1d-433a-ad51-4682fc70dd2c · outbound

This paper cites Noldus,A Lorentzian Gromov-Hausdorff notion of distance, Classical Quantum Gravity 21 (2004), no.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Noldus,A Lorentzian Gromov-Hausdorff notion of distance, Classical Quantum Gravity 21 (2004), no

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.220178Z

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Observation 63c04c2c-8a33-49f0-9155-e744e273e2b6 · outbound

This paper cites Sakovich and C.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Sakovich and C

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T04:33:11.324789Z

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Observation c7c590b1-ed70-4278-a164-313ec236585d · outbound

This paper cites Sämann,Global hyperbolicity for spacetimes with continuous metrics, Ann.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Sämann,Global hyperbolicity for spacetimes with continuous metrics, Ann

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.211641Z

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Observation f7c76525-158a-40ff-8daf-e4465eec8797 · outbound

This paper cites Sämann,A brief introduction to non-regular spacetime geometry, Internationale Mathema- tische Nachrichten256 (2024), 1–17.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Sämann,A brief introduction to non-regular spacetime geometry, Internationale Mathema- tische Nachrichten256 (2024), 1–17

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.203408Z

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Observation d447febf-282a-4468-aa25-489c2cd153c6 · outbound

This paper cites an unresolved cited work.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:33:14.194172Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 45339974-63a4-41da-9f36-dcfa1e4d8238 · outbound

This paper cites Sormani and C.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Sormani and C

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:14.185381Z

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Observation 8cc4808a-7639-4621-82dc-d1ca6849a55d · outbound

This paper cites an unresolved cited work.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:33:14.040962Z

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Observation 232bd02e-89b1-480a-ba77-49274a491b99 · outbound

This paper cites Sturm,On the geometry of metric measure spaces.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Sturm,On the geometry of metric measure spaces

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:13.954353Z

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Observation ebc8a094-abb8-4515-8887-1f203830ac48 · outbound

This paper cites an unresolved cited work.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:33:13.811402Z

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Observation 7306bfdd-eab8-4d97-a255-34131d42d9cd · outbound

This paper cites Surya,The causal set approach to quantum gravity, Living Reviews in Relativity22 (2019), no.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Surya,The causal set approach to quantum gravity, Living Reviews in Relativity22 (2019), no

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:13.690143Z

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Observation 55115e97-1519-46b8-8e9e-eb134b588810 · outbound

This paper cites Swingle,Spacetime from entanglement, Annual Review of Condensed Matter Physics9 (2018), no.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Swingle,Spacetime from entanglement, Annual Review of Condensed Matter Physics9 (2018), no

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:13.556086Z

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Observation 125f8dd6-ff71-492d-9637-c639285191fd · outbound

This paper cites Distance matrices, random metrics and Urysohn space.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Distance matrices, random metrics and Urysohn space

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:33:12.563887Z

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Observation 4e80495f-f589-4195-b8fc-32550b087eb1 · outbound

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Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Unresolved cited work

Reference 62

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:33:13.509289Z

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Observation bbfc470e-1fec-4296-a1ab-91d2f16faa33 · outbound

This paper cites Nauk59 (2004), no.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Nauk59 (2004), no

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:13.432093Z

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Observation a6e3b728-82aa-4fcc-a3c4-b1abe2f512a7 · outbound

This paper cites Villani,Optimal transport.

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Villani,Optimal transport

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:33:13.285668Z

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Pith citing papers

Observation c78450d3-e885-436f-ad67-a02a9e77001d · inbound

Spacetime reconstruction by order and number cites this paper.

Spacetime reconstruction by order and number Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T21:02:33.076487Z

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Observation 3c11661b-a90e-4ad9-8a16-40af47c78c32 · inbound

Lorentzian coarea inequality cites this paper.

Lorentzian coarea inequality Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-12T03:11:18.647847Z

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Observation 1e841d84-dac3-498d-9735-88a0dc257498 · inbound

Lorentzian coarea inequality cites this paper.

Lorentzian coarea inequality Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-20T23:13:50.586211Z

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Observation 2407cc05-7651-4626-bb91-be51da218ca0 · inbound

Relational Quantum Causal Processes: Exact Models, Continuum Limits, and the Boundary of Emergent Gravity cites this paper.

Relational Quantum Causal Processes: Exact Models, Continuum Limits, and the Boundary of Emergent Gravity Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T11:09:21.616126Z

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