Pith. sign in

Paper Citation Record · LEDGER

Causal convergence conditions through variable timelike Ricci curvature bounds

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 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

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:44:32.879580Z

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

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 5986a3b0-b5d0-4aa5-910c-7fe1e711bfd7 · inbound

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

Lorentzian metric spaces and GH-convergence: the unbounded case Causal convergence conditions through variable timelike Ricci curvature bounds

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T21:44:32.879580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:44:32.879580Z digest=sha256:5471e21b7f37fb74d4b31eece13ea29a22ee6180849fe1f122ef64ecc8819dbd

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

Resolution
unresolved
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:cb1696dffefc49f8371f8215c2518d4c9f20c727dc65cddb8218651f622d4eca

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

Resolution
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T11:26:33.006804Z digest=sha256:b17fde69d23149d16c738a8d6a4e9f011ee4903f88ab3be25cee98173c0bd8d0

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

Resolution
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:d3f5628e0d21b58ac13cc2d63217b2074a2f571fcbd5373ab01aa28ca1882f1f

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

Resolution
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:e77088653d00100e2e311fab00f63595237de60ac0736c2189307483535b151f

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

Resolution
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-18T18:26:09.708089Z digest=sha256:3a92f3d63741ce43987ac1001eee9c8b5b6404d3321f317e8940d3f3d530787c

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

Resolution
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T15:56:39.527601Z digest=sha256:d784eef9e15e5fb15e49e7c4ba98432a0265a1c8e808b1b1daae24c3c72edc37

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

Resolution
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-10T15:52:56.844646Z digest=sha256:f1650cb1a407e10c4d21736edc130a8410c2194a5e59e2ec2fcc01011efb9f70

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

Resolution
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-08T09:58:54.917877Z digest=sha256:e55e4d2964eb80d6fa8e7da3b502353dd469f7a5eb8c05d04fc2de059afdf021

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

Resolution
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-08T17:26:24.568586Z digest=sha256:bee007f20d070dd9b2eb703884168af59a2586447756cda00ba2db685e074de1

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

Resolution
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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-06-28T04:23:03.233843Z digest=sha256:9ff6cca9d64cec48b70e83a619d931713293596d0d1265e16b55c81cd135331c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-27T17:56:56.527414Z digest=sha256:b5583860be7739839975e366b8b5664e9954766752e850ee7b5da0735dcd5ef2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-27T08:33:07.176771Z digest=sha256:e9df94caadedbb4afa4c3ce87636f9fcbc9cb24dc6768ed8efbfdaeed9ad9ad1