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Paper Citation Record · LEDGER

Causal convergence conditions through variable timelike Ricci curvature bounds

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2312.17158.

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

pith.paper-citation-record.v1
2312.17158 v2

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measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T21:36:02.945652Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T13:08:08.109667Z

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0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation f35e8825-bb9b-454e-9a30-8eeefa818e32 · inbound

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

New perspectives on the d'Alembertian from general relativity. An invitation Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 40

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no resolver link, observed 2026-08-09T21:36:02.945652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:36:02.945652Z digest=sha256:40838caf4647e4154967de8cb4ee232177789f3a416146d7422c4fc97987e0e3

Observation 5071ff59-bbb1-4e04-91f5-4ad3a955e91e · inbound

On the geometry of synthetic null hypersurfaces cites this paper.

On the geometry of synthetic null hypersurfaces Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 5

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verified exact
arxiv_id, observed 2026-05-19T11:27:15.870596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T11:26:33.006804Z digest=sha256:fef12ceefd29446d1f99fc1304e481bfac93e839cec14701947beae2b0f3ea4c

Observation 2fb9f134-9751-406a-afde-bbc957239389 · inbound

Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry cites this paper.

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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unresolved
no resolver link, observed 2026-08-07T04:33:07.431793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:33:07.431793Z digest=sha256:33504c3105d682477139bbb3b04a4ad4a6e888935f34d74eb97369c1a7832c2a

Observation 17268800-57ae-41b6-8eca-3ae8fb191400 · inbound

Rigorous Feature Importance Scores based on Shapley Value and Banzhaf Index cites this paper.

Rigorous Feature Importance Scores based on Shapley Value and Banzhaf Index Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 7

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unresolved
no resolver link, observed 2026-08-05T19:44:14.376675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T19:44:14.376675Z digest=sha256:f0a22c2d8f4f6caa677c32fbe964a7934b18cd825d18c5a0786f436be3b3097d

Observation 8df10de8-b314-4bf7-a343-2bb465321eef · inbound

Reshetnyak Majorisation and discrete upper curvature bounds for Lorentzian length spaces cites this paper.

Reshetnyak Majorisation and discrete upper curvature bounds for Lorentzian length spaces Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 11

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verified exact
arxiv_id, observed 2026-05-18T18:26:43.606934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-18T18:26:09.708089Z digest=sha256:e810db370b8d1d7f0156b493b823bc2b17d2b37306ccec0b9058057ebc3a12b1

Observation bd7371d9-73ef-42d4-858c-b72af22837fa · inbound

The equivalence between timelike Ricci curvature and the timelike Brunn Minkowski inequality on synthetic Lorentzian spaces cites this paper.

The equivalence between timelike Ricci curvature and the timelike Brunn Minkowski inequality on synthetic Lorentzian spaces Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 8

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metadata mismatch
arxiv_id, observed 2026-05-11T09:36:02.070141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T15:56:39.527601Z digest=sha256:54e7441c9db8369958be8834d3625027756e9f5382359d349ab2550c4a7a62f9

Observation a5f1bbe1-b8ba-4d85-b968-edbb5ab9072f · inbound

Hausdorff-type metric geometry of the space of Cauchy hypersurfaces cites this paper.

Hausdorff-type metric geometry of the space of Cauchy hypersurfaces Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 10

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verified exact
arxiv_id, observed 2026-05-11T09:41:03.717202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-10T15:52:56.844646Z digest=sha256:90247e7e4eac0ef812fee87060cddc510533c8134dbc192fd6e676aa9a83ad89

Observation b7945bef-bcb9-438f-8ab5-45e8f6633de4 · inbound

Infinitesimal Minkowskianity for manifolds with continuous Lorentzian metrics cites this paper.

Infinitesimal Minkowskianity for manifolds with continuous Lorentzian metrics Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 10

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verified exact
arxiv_id, observed 2026-05-11T20:11:12.445168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T09:58:54.917877Z digest=sha256:ecf765b85a77c4aa99318edf3d31a1f391861fda89e035e4816bc207797bb558

Observation c7543403-226f-4dee-af01-06246520f5d9 · inbound

Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves cites this paper.

Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 7

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verified exact
arxiv_id, observed 2026-05-12T10:51:30.576431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T17:26:24.568586Z digest=sha256:ed6f31770e3cb5df25c86dfea83c561bd41e9106fac24f4f6ae2043c2cfb2cb3

Observation f1420e59-2bea-4193-a9b7-9b222d54cb4c · inbound

Ollivier-Ricci Curvature for Causal Sets cites this paper.

Ollivier-Ricci Curvature for Causal Sets Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 36

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verified exact
arxiv_id, observed 2026-07-02T11:16:53.429388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-06-28T04:23:03.233843Z digest=sha256:5b38890ae7bbdff15f478dcaf5b436dfbcc247bed1e3b90b5d98dc3c860abd89

Observation 16995b7a-7be9-4512-89b1-295aae5bccf8 · inbound

Magnetic Brunn-Minkowski inequalities cites this paper.

Magnetic Brunn-Minkowski inequalities Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-07-02T23:47:27.534141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-27T17:56:56.527414Z digest=sha256:7fdfb84027eb2cb7476ea32ffcdcaeb8ac0cbaa81b8e714d2d5b90a86badf2b9

Observation e2d43d43-a91b-46b1-b48c-341f29d1a9d0 · inbound

A singularity theorem in terms of asymptotic expansion cites this paper.

A singularity theorem in terms of asymptotic expansion Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-03T13:08:08.111027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-27T08:33:07.176771Z digest=sha256:099ac2cc97593d7e2f425d417971f298eae5a3093df29861d86b7feedde53048