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Paper Citation Record · LEDGER

Convergence of Lorentzian spaces and curvature bounds for generalized cones

As of 11 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 2 inbound Pith citation observations for arXiv:2605.11271.

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pith.paper-citation-record.v1
2605.11271 v2

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measured 54 of 54 reference resolution

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measured 56 of 56 standing notices

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T11:10:23.702483Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

54 of 54 outbound references displayed

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External citation measurements

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Outbound references

Observation 84727b8a-ba85-44f6-b3c2-66f10d84f3fb · outbound

This paper cites Alexander and Richard L.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Alexander and Richard L

Reference 1

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Observation 279f0702-0075-4109-ba10-fcc93b10ab7b · outbound

This paper cites Alexander and Richard L.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Alexander and Richard L

Reference 2

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Observation bde486e3-fe5f-473e-8100-1a498c06be64 · outbound

This paper cites Alexander and Richard L.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Alexander and Richard L

Reference 3

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Observation 61595b3f-bf38-44dc-a4a8-53914811a37f · outbound

This paper cites Alexander and Richard L.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Alexander and Richard L

Reference 4

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Observation 894662a3-5799-472a-8b12-cbfc9c64b4f9 · outbound

This paper cites Alexander, Melanie Graf, Michael Kunzinger, and Clemens S¨ amann.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Alexander, Melanie Graf, Michael Kunzinger, and Clemens S¨ amann

Reference 5

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Observation 6bc6b96f-faca-4777-b053-0d59e2913fd3 · outbound

This paper cites Properties of the null distance and spacetime convergence.Int.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Properties of the null distance and spacetime convergence.Int

Reference 6

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Observation 934d8922-4a08-47bf-8dd0-d6291cc25732 · outbound

This paper cites Lectures in Mathematics ETH Z¨ urich.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Lectures in Mathematics ETH Z¨ urich

Reference 7

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Observation b13529c5-39e8-4035-a392-5ff2a65a7761 · outbound

This paper cites Ricci bounds for Euclidean and spheri- cal cones.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Ricci bounds for Euclidean and spheri- cal cones

Reference 8

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Observation 85732dad-63c9-4dcb-b904-625981b0f4b6 · outbound

This paper cites The equivalence of smooth and synthetic notions of timelike sectional curvature bounds.Proc.

Convergence of Lorentzian spaces and curvature bounds for generalized cones The equivalence of smooth and synthetic notions of timelike sectional curvature bounds.Proc

Reference 9

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Observation 4585dcd1-cea3-4438-9843-3f7fe9fc5050 · outbound

This paper cites On curvature bounds in Lorentzian length spaces.J.

Convergence of Lorentzian spaces and curvature bounds for generalized cones On curvature bounds in Lorentzian length spaces.J

Reference 10

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Observation 5e6fdf06-38d8-49ab-99bb-51f521c1a5f5 · outbound

This paper cites R´ enyi’s entropy on Lorentzian spaces.

Convergence of Lorentzian spaces and curvature bounds for generalized cones R´ enyi’s entropy on Lorentzian spaces

Reference 11

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Observation 66371be2-305e-42c2-a483-9cdfe74ae1be · outbound

This paper cites Gromov’s reconstruction theorem and mea- sured gromov-hausdorff convergence in lorentzian geometry.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Gromov’s reconstruction theorem and mea- sured gromov-hausdorff convergence in lorentzian geometry

Reference 12

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Observation a2cc0dd8-a7c9-4be6-a0a3-0f14656f5c82 · outbound

This paper cites American Mathematical Society, Prov- idence, RI.

Convergence of Lorentzian spaces and curvature bounds for generalized cones American Mathematical Society, Prov- idence, RI

Reference 13

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Observation 5ece0d2e-7ffd-4d79-8e55-f2b523c289ee · outbound

This paper cites an unresolved cited work.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Unresolved cited work

Reference 14

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Observation 129c12cc-d4d8-4a3e-a1e4-0b733f7a598b · outbound

This paper cites Bykov, E.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Bykov, E

Reference 15

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Observation 4f943e44-3e2c-499c-9cf0-240f6d2fde8f · outbound

This paper cites Generalized cones admit- ting a curvature-dimension condition.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Generalized cones admit- ting a curvature-dimension condition

Reference 16

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Observation 2e77f51a-1e83-4776-a11f-8a37714035b6 · outbound

This paper cites The globalization theorem for the curvature- dimension condition.Invent.

Convergence of Lorentzian spaces and curvature bounds for generalized cones The globalization theorem for the curvature- dimension condition.Invent

Reference 17

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Observation a33c0029-fb3b-419e-87ab-96f74be15f94 · outbound

This paper cites A review of Lorentzian synthetic theory of timelike Ricci curvature bounds.Gen.

Convergence of Lorentzian spaces and curvature bounds for generalized cones A review of Lorentzian synthetic theory of timelike Ricci curvature bounds.Gen

Reference 18

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Observation ffc1b9a5-a599-4745-9130-305676a8157d · outbound

This paper cites Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications.Camb.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications.Camb

Reference 19

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This paper cites Cambridge University Press, Cambridge.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Cambridge University Press, Cambridge

Reference 20

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This paper cites Gromov’s compactness theo- rem for the intrinsic timed-Hausdorff distance.Differential Geom.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Gromov’s compactness theo- rem for the intrinsic timed-Hausdorff distance.Differential Geom

Reference 21

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Convergence of Lorentzian spaces and curvature bounds for generalized cones Unresolved cited work

Reference 22

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Convergence of Lorentzian spaces and curvature bounds for generalized cones Unresolved cited work

Reference 23

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Convergence of Lorentzian spaces and curvature bounds for generalized cones Unresolved cited work

Reference 24

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Convergence of Lorentzian spaces and curvature bounds for generalized cones Sharp H¨ older continuity of tangent cones for spaces with a lower Ricci curvature bound and applications.Ann

Reference 25

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This paper cites Characterization of tangent cones of non- collapsed limits with lower Ricci bounds and applications.Geom.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Characterization of tangent cones of non- collapsed limits with lower Ricci bounds and applications.Geom

Reference 26

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Observation fd359611-2efc-4a37-8284-e721723652d4 · outbound

This paper cites Causality for nonlocal phenomena.Ann.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Causality for nonlocal phenomena.Ann

Reference 27

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Observation 978478ed-2736-4a18-a263-bcc9544469c4 · outbound

This paper cites Convergence of pointed non- compact metric measure spaces and stability of Ricci curvature bounds and heat flows.Proc.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Convergence of pointed non- compact metric measure spaces and stability of Ricci curvature bounds and heat flows.Proc

Reference 28

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Observation b11d5405-0953-4e80-9dbe-b7995b0c387a · outbound

This paper cites Mod- ern Birkh¨ auser Classics.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Mod- ern Birkh¨ auser Classics

Reference 29

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Convergence of Lorentzian spaces and curvature bounds for generalized cones Unresolved cited work

Reference 30

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Convergence of Lorentzian spaces and curvature bounds for generalized cones Lower Ricci curvature and nonex- istence of manifold structure.Geom

Reference 31

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Observation 72662b90-0d66-4676-a430-6b79f32b6edd · outbound

This paper cites On the geometry of metric measure spaces with variable curvature bounds.

Convergence of Lorentzian spaces and curvature bounds for generalized cones On the geometry of metric measure spaces with variable curvature bounds

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local_arxiv, observed 2026-07-01T14:15:46.423959Z

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Observation 82b52046-7514-474e-8da3-9be2dcf6eb5f · outbound

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Convergence of Lorentzian spaces and curvature bounds for generalized cones Ricci curvature bounds for warped products.J

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Observation b8981a0d-c2cd-4f42-a2eb-1293c83c760e · outbound

This paper cites Cones over metric measure spaces and the maximal diameter theorem.J.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Cones over metric measure spaces and the maximal diameter theorem.J

Reference 34

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Observation 5f06be1f-5691-4096-adf3-936c78c053c6 · outbound

This paper cites Warped products over one-dimensional base spaces and the rcd condition.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Warped products over one-dimensional base spaces and the rcd condition

Reference 35

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raw_fallback, observed 2026-07-07T14:43:52.029046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:59279efc3ecb5a6bfa27d44dedc549c7a0bbde183f17498ff1c7f2681ab3cda0

Observation ca525441-5867-4783-97ca-00dde9cda4a4 · outbound

This paper cites Lorentzian length spaces.Ann.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Lorentzian length spaces.Ann

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Resolution
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raw_fallback, observed 2026-07-07T14:43:51.989475Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:5427a804b81e5cb23701c9ad0ca2801dafd1c29a7ae9634f4bee14c80ea04b4c

Observation f33fff3c-be5a-4e37-bac8-7d5e44077628 · outbound

This paper cites Null distance and convergence of Lorentzian length spaces.Ann.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Null distance and convergence of Lorentzian length spaces.Ann

Reference 37

Resolution
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raw_fallback, observed 2026-07-07T14:43:51.995145Z

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source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:ce0fa7e662c330d20f85775efb755710b83075cd5d723b9d2a1d98dd96facb86

Observation 031dcacb-3fb7-4266-95b2-9aec705a7a7f · outbound

This paper cites Ricci curvature for metric-measure spaces via optimal transport.Ann.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Ricci curvature for metric-measure spaces via optimal transport.Ann

Reference 38

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raw_fallback, observed 2026-07-07T14:43:52.026651Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:67f25c028f5062d0b553ebced59d0e87ad1549fb881a5dc92730d795f519eded

Observation e2ea7428-e3bd-4ae7-9f6a-59d7447f4393 · outbound

This paper cites an unresolved cited work.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Unresolved cited work

Reference 39

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raw_fallback, observed 2026-07-07T14:43:51.970932Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:8221985e8fe3a1ada0de5a378edbc48329b489f376f1ce3e5ab5aa37e246dbe8

Observation ff34933e-9493-49ba-9e84-c2f2cc7ac3ff · outbound

This paper cites Minguzzi.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Minguzzi

Reference 40

Resolution
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raw_fallback, observed 2026-07-07T14:43:52.025212Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:dd86dbd54dc8cdf63a5369f69b70224ef32c24bbd932fe584206389667cf30eb

Observation ca9e4f2d-fd9a-48db-bafe-6caf73df41eb · outbound

This paper cites Minguzzi.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Minguzzi

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T14:43:52.014256Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:964fe912910fc5c7dd86b8ee46e14381673671a90d05e5400830023af4dfc9c9

Observation 696e407d-b0a4-48fe-89e1-39ef784dc237 · outbound

This paper cites Minguzzi and S.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Minguzzi and S

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T14:43:51.947775Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:6a5a0fcca8a15c51dc102ef35b735f72af4ace68ddc36bc2ceb7f5fe300b96fd

Observation 7d0532ee-869b-41ab-86eb-5d1cd37f3e7a · outbound

This paper cites An optimal transport formulation of the Einstein equations of general relativity.J.

Convergence of Lorentzian spaces and curvature bounds for generalized cones An optimal transport formulation of the Einstein equations of general relativity.J

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Resolution
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raw_fallback, observed 2026-07-07T14:43:51.994637Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:bd251351c4c22771edb69218a292a1a6f118781db6ff26e5b82d19025f0fd858

Observation 827f7886-f412-4c4e-a468-7a2ce5935d59 · outbound

This paper cites Lorentzian gromov-hausdorff convergence and pre-compactness.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Lorentzian gromov-hausdorff convergence and pre-compactness

Reference 44

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raw_fallback, observed 2026-07-07T14:43:52.023710Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:14b3126c2ca0083b7627b7b9c01dd4997b029051af3a5820e0ffff0b9192ab54

Observation 58b7fc69-4459-4077-b27b-8799b63429c2 · outbound

This paper cites Lorentzian Gromov-Hausdorff theory and finiteness results.Gen.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Lorentzian Gromov-Hausdorff theory and finiteness results.Gen

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T14:43:52.032877Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:d719df23434b2df552ff53c82fc1b6e0fa908ac0270b6527e32e64b69d4ef869

Observation 18abaca1-2496-4355-8e41-3e7d68fdc50a · outbound

This paper cites On the measure contraction property of metric measure spaces.Com- ment.

Convergence of Lorentzian spaces and curvature bounds for generalized cones On the measure contraction property of metric measure spaces.Com- ment

Reference 46

Resolution
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raw_fallback, observed 2026-07-07T14:43:51.987666Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:4b31d9e039e9ac7e6355c779c5d16cc83805f02c39fc2608a77e78b6497fa26f

Observation 821f7dea-8361-4539-964e-7a493e5ef6e5 · outbound

This paper cites Semi-Riemannian geometry.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Semi-Riemannian geometry

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T14:43:52.036429Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:0d864d0d1b0cc7680ce9447156979630689bc7b46d854094206e0deab0a96ea8

Observation 9a3c401a-b1c6-4224-b220-cd4e408383bf · outbound

This paper cites Semiconcave functions in Alexandrov’s geometry.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Semiconcave functions in Alexandrov’s geometry

Reference 48

Resolution
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raw_fallback, observed 2026-07-07T14:43:51.991378Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:510ed7965fa38587c02ff860101a60592208619245e0544480cc086712d1e497

Observation 1ecd7648-ae34-40c8-8cfd-fa661adb4c6b · outbound

This paper cites Introducing various notions of distances between space-times.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Introducing various notions of distances between space-times

Reference 49

Resolution
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arxiv_id, observed 2026-07-01T14:15:46.421263Z

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source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:6785382b454766f16868e239f7d4aad31149d8ea2f40f18637ca50a24133dfc7

Observation 133972b0-e972-4e14-b351-db97300cc86d · outbound

This paper cites Null distance on a spacetime.Classical Quantum Gravity, 33(8):29.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Null distance on a spacetime.Classical Quantum Gravity, 33(8):29

Reference 50

Resolution
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raw_fallback, observed 2026-07-07T14:43:52.036767Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:3e89bfdd759361fbaabc2aa818e9eb8d23afd0e11fcc2aa6d8868995a249f949

Observation 8e8e8865-caa4-4147-b7fe-27ea9143dc17 · outbound

This paper cites On the geometry of metric measure spaces.

Convergence of Lorentzian spaces and curvature bounds for generalized cones On the geometry of metric measure spaces

Reference 51

Resolution
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raw_fallback, observed 2026-07-07T14:43:51.976978Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:c2e3f3c4412f121dd6ce9605e774c0a3dd08218de574a24fa638eee3cac2310e

Observation dd14abdb-1cef-46db-9d10-9b503a620c5a · outbound

This paper cites On the geometry of metric measure spaces.

Convergence of Lorentzian spaces and curvature bounds for generalized cones On the geometry of metric measure spaces

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-07-07T14:43:52.024984Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:fe1dc48f2d79a2ba8f6a157b99f55cdc0dd372f2aa14c4371f07bc251c3a68c5

Observation f3826bee-b3b2-4c13-9b5f-4c95e3562ef8 · outbound

This paper cites American Mathematical Society, Providence, RI.

Convergence of Lorentzian spaces and curvature bounds for generalized cones American Mathematical Society, Providence, RI

Reference 53

Resolution
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raw_fallback, observed 2026-07-07T14:43:51.945150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:4c5a159efd42621dc6ed2e1a4651157dcbbfacfd906f52895cfc9634eadde937

Observation 7c815b90-00d7-444d-ae94-cfd4399ca960 · outbound

This paper cites Springer-Verlag, Berlin.

Convergence of Lorentzian spaces and curvature bounds for generalized cones Springer-Verlag, Berlin

Reference 54

Resolution
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raw_fallback, observed 2026-07-07T14:43:52.030822Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:13:51.166972Z digest=sha256:880170a49e1daef3bfcc8b9122416f3fe8b944928818b7e6745a2ab3d9ddcfa1

Pith citing papers

Observation 6b37e5df-3aaf-4957-9065-df5418c056b9 · inbound

Null distance on cosmological spacetimes and monotone convergence cites this paper.

Null distance on cosmological spacetimes and monotone convergence Convergence of Lorentzian spaces and curvature bounds for generalized cones

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-01T11:14:13.664337Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-01T11:10:23.702483Z digest=sha256:7c201d3962a3825c7b170dba76dbb630f470bce33784e95ab20ded1f39ed7edf

Observation dc741f85-0607-4e14-999c-1d836ba17349 · inbound

Doubling for chronological diamonds in Lorentzian geometry cites this paper.

Doubling for chronological diamonds in Lorentzian geometry Convergence of Lorentzian spaces and curvature bounds for generalized cones

Reference 7

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no resolver link, observed 2026-08-01T07:41:24.124487Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:41:24.124487Z digest=sha256:d9658bb85b45e40805b22288953e3164ab7c389bf6c66ba395ccd4774fee6296