Paper Citation Record · LEDGER

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond

As of 21 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2505.21332.

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

pith.paper-citation-record.v1
2505.21332 v5

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:42:46.575458Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:28:51.488734Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T12:33:57.721911Z

Reference resolution

22 of 22 outbound references displayed

verified exact1
verified fuzzy12
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 94bae647-16d8-4078-ad8b-aa3f44f3103b · outbound

This paper cites The Carrollian Kaleidoscope.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond The Carrollian Kaleidoscope

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T13:42:44.912702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9e20006-3d1f-48fd-93d3-da51492411ad · outbound

This paper cites & McNut D., Horizons that gyre and gimble: a differential characterization of null hy- persurfaces,Eur.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & McNut D., Horizons that gyre and gimble: a differential characterization of null hy- persurfaces,Eur

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:49.073349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0ded841c-0219-4724-a7e3-46a26018f40a · outbound

This paper cites & Vandoren, S., Carroll Symmetry, Dark Energy and Inflation,Front.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Vandoren, S., Carroll Symmetry, Dark Energy and Inflation,Front

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:48.891639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eec7c380-9c71-4364-9ab0-fadd2b7bc126 · outbound

This paper cites & Grabowski, J., Remarks on contact and Jacobi geometry,SIGMA 13, Paper 059, 22 p.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Grabowski, J., Remarks on contact and Jacobi geometry,SIGMA 13, Paper 059, 22 p

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:48.728769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d828c07d-c71b-448a-89ef-4ac5fae912e7 · outbound

This paper cites Carrollian $\mathbb{R}^\times$-bundles II: Sigma Models on Event Horizons.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond Carrollian $\mathbb{R}^\times$-bundles II: Sigma Models on Event Horizons

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T13:42:45.231404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0853bd3b-6436-4e89-9230-c8239dbb0b0c · outbound

This paper cites Carrollian $\mathbb{R}^\times$-bundles III: The Hodge Star and Hodge--de Rham Laplacians.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond Carrollian $\mathbb{R}^\times$-bundles III: The Hodge Star and Hodge--de Rham Laplacians

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:42:46.744600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 46bcc9e4-9eb5-402c-9edb-98bcb4e9bec7 · outbound

This paper cites & Pons, J.M., Dynamics of Carroll strings,J.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Pons, J.M., Dynamics of Carroll strings,J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:48.556018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 69b99008-ec96-4537-9a53-f522629b7fe8 · outbound

This paper cites & Speranza, A.J., Brown-York charges at null boundaries,J.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Speranza, A.J., Brown-York charges at null boundaries,J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:48.328042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b0451bc6-40ef-401c-991a-96f9d9b49919 · outbound

This paper cites & Petropoulos, P.M., Carroll structures, null geometry, and conformal isometries,Phys.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Petropoulos, P.M., Carroll structures, null geometry, and conformal isometries,Phys

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:48.097652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b73d1ee6-0fc8-4ca3-aef7-52304589d8c5 · outbound

This paper cites & Marteau, C., Carrollian physics at the black hole horizon,Class.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Marteau, C., Carrollian physics at the black hole horizon,Class

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:47.910745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9f89938d-7c81-4b1d-b837-e7069add24cb · outbound

This paper cites & Horvathy, P.A., Conformal Carroll groups,J.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Horvathy, P.A., Conformal Carroll groups,J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T13:42:45.703364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a397c534-94c8-4156-acaf-b19e20e53976 · outbound

This paper cites & Horvathy, P.A., Conformal Carroll groups and BMS symmetry,Class.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Horvathy, P.A., Conformal Carroll groups and BMS symmetry,Class

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T13:42:45.813244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4a9fa1c-7949-4d0d-b256-0e88d20e9a9d · outbound

This paper cites & Zhang, P.M., Carroll versus Newton and Galilei: Two Dual Non-Einsteinian Concepts of Time,Class.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Zhang, P.M., Carroll versus Newton and Galilei: Two Dual Non-Einsteinian Concepts of Time,Class

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T13:42:45.873575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7018f509-7812-402b-9844-4073b7e8cf32 · outbound

This paper cites & Troncoso, R., Carroll black holes, SciPost Phys.15, No.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Troncoso, R., Carroll black holes, SciPost Phys.15, No

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:47.725149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 03b6734a-fc23-4c8b-bfa2-1356e10dff4b · outbound

This paper cites an unresolved cited work.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:42:47.583658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5a72457b-3329-4454-b5d5-3cae08be7716 · outbound

This paper cites an unresolved cited work.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T13:42:46.099298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 074f5a24-0de0-4cbf-a0ec-f52eb0d7981d · outbound

This paper cites & van Holten J-W., Geodesic deviation in Kaluza-Klein theories, Phys.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & van Holten J-W., Geodesic deviation in Kaluza-Klein theories, Phys

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:47.386177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b8bcc58d-1fca-4150-bc73-aa3e4d5bfda1 · outbound

This paper cites & Slov´ ak, J., Natural operations in differential geometry,Springer-Verlag, Berlin, 1993, vi+434 pp.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Slov´ ak, J., Natural operations in differential geometry,Springer-Verlag, Berlin, 1993, vi+434 pp

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:47.242182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cdf9679e-bb1d-4a27-9914-6ec052c55df7 · outbound

This paper cites an unresolved cited work.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T13:42:46.319797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e84a096a-3a71-4fb2-a978-a9d500c643ae · outbound

This paper cites of Pure and Appl.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond of Pure and Appl

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:47.106973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3440ac53-171e-409e-9506-13b4ed2530e4 · outbound

This paper cites & Mrˇ cun, J., Introduction to foliations and Lie groupoids, Cambridge Studies in Advanced Mathematics, 91,Cambridge: Cambridge University Press.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond & Mrˇ cun, J., Introduction to foliations and Lie groupoids, Cambridge Studies in Advanced Mathematics, 91,Cambridge: Cambridge University Press

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:42:46.908966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4afedcc1-8deb-4fb6-b1f1-b26a8f98968e · outbound

This paper cites an unresolved cited work.

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T13:42:46.575458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 6ebfca66-9a1b-4ff7-bb1a-3f381bf7b5f4 · inbound

Carrollian $\mathbb{R}^\times$-bundles II: Sigma Models on Event Horizons cites this paper.

Carrollian $\mathbb{R}^\times$-bundles II: Sigma Models on Event Horizons Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T21:28:51.488734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 072e3a03-1194-4130-bc0e-7fff9621de2b · inbound

Carrollian $\mathbb{R}^\times$-bundles III: The Hodge Star and Hodge--de Rham Laplacians cites this paper.

Carrollian $\mathbb{R}^\times$-bundles III: The Hodge Star and Hodge--de Rham Laplacians Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:33:57.726733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.