Paper Citation Record · LEDGER

Sub-Randers metrics

As of 23 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2606.21922.

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

pith.paper-citation-record.v1
2606.21922 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T11:38:53.048456Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T19:57:57.163055Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy0
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 59e53297-31ec-4315-942d-8f219c4016da · outbound

This paper cites Agrachev, D.

Sub-Randers metrics Agrachev, D

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f842299c-cb4d-4cec-ab00-af983ca97613 · outbound

This paper cites an unresolved cited work.

Sub-Randers metrics Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3a57820-be72-474d-aa5c-a8a79e5bce07 · outbound

This paper cites an unresolved cited work.

Sub-Randers metrics Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c45895ca-0925-444f-9638-6e147d624140 · outbound

This paper cites an unresolved cited work.

Sub-Randers metrics Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4a5c33c-0baa-40cd-b52f-ac4a8ff667e9 · outbound

This paper cites Bao, S.S.

Sub-Randers metrics Bao, S.S

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e883001-e0b0-4810-9fa2-ab10882d7f06 · outbound

This paper cites Bao,Randers space forms, Periodica Mathematica Hungarica48(1-2)(2004), 3-15.

Sub-Randers metrics Bao,Randers space forms, Periodica Mathematica Hungarica48(1-2)(2004), 3-15

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70b0edad-88d6-452e-9d62-1379efe24c0e · outbound

This paper cites an unresolved cited work.

Sub-Randers metrics Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c1a754a-0532-4e5a-818f-8b3c72482fd3 · outbound

This paper cites Carath ´eodory,Untersuchungen ¨uber die Grundlagen der Termodynamik, Math.

Sub-Randers metrics Carath ´eodory,Untersuchungen ¨uber die Grundlagen der Termodynamik, Math

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42e504aa-6ec1-4304-adbc-6ac24fe30f67 · outbound

This paper cites Cheng , Z.

Sub-Randers metrics Cheng , Z

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7349eeb-6143-47e9-830f-91e54197f861 · outbound

This paper cites Chow, ¨Uber Systeme von linearen partiellen Differentialgleichungen erster Ordnung, Math.

Sub-Randers metrics Chow, ¨Uber Systeme von linearen partiellen Differentialgleichungen erster Ordnung, Math

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e8bd5bb-df46-4f1c-8307-b91f94b6fd7d · outbound

This paper cites do Carmo,Riemannian geometry.

Sub-Randers metrics do Carmo,Riemannian geometry

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e12bdb43-45e8-4139-8f9e-21489e0ed024 · outbound

This paper cites Gromov,Carnot-Carath ´eodory spaces seen from within, In: Bella¨ıche, A., Risler, JJ.

Sub-Randers metrics Gromov,Carnot-Carath ´eodory spaces seen from within, In: Bella¨ıche, A., Risler, JJ

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ac23123-802e-4091-bbd1-0df210117ef3 · outbound

This paper cites Randers,On an Asymmetrical Metric in the Four-Space of General Relativity, Phy.

Sub-Randers metrics Randers,On an Asymmetrical Metric in the Four-Space of General Relativity, Phy

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69676a00-a031-4b0d-ae6d-d636a3d37404 · outbound

This paper cites Mestdag, V.

Sub-Randers metrics Mestdag, V

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74914f15-9ee4-4954-9f64-22af30cb8fde · outbound

This paper cites Mitchell,On Carnot-Carath ´eodory metrics, J.

Sub-Randers metrics Mitchell,On Carnot-Carath ´eodory metrics, J

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5e82c3a-ed3f-49f1-85f8-5c28b427e30f · outbound

This paper cites Montgomery,Abnormal minimizers, SIAM J.

Sub-Randers metrics Montgomery,Abnormal minimizers, SIAM J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9909ee69-1b5a-40af-a728-a520b0359e0b · outbound

This paper cites Montgomery,A tour of subriemannian geometries, their geodesics and applications, AMS, 2002.

Sub-Randers metrics Montgomery,A tour of subriemannian geometries, their geodesics and applications, AMS, 2002

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd0a45cd-76b3-46ac-955f-ef6afe17865c · outbound

This paper cites Strichartz,Sub-Riemannian geometry.J.

Sub-Randers metrics Strichartz,Sub-Riemannian geometry.J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f36a52e-4870-4834-bfc5-e6be98839ec2 · outbound

This paper cites an unresolved cited work.

Sub-Randers metrics Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f39a3c9-d703-4d27-9866-8725a0500c2e · outbound

This paper cites an unresolved cited work.

Sub-Randers metrics Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db64e45d-d25c-4df7-92db-37ff274d4e80 · outbound

This paper cites Yasuda, H.

Sub-Randers metrics Yasuda, H

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8dc16fbc-8d5d-47ac-8ccf-f5e9013aef9f · outbound

This paper cites Zermelo, ¨Uber das Navigationsproblem bei ruhender oder ver ¨anderlicher Windverteilung,Z.

Sub-Randers metrics Zermelo, ¨Uber das Navigationsproblem bei ruhender oder ver ¨anderlicher Windverteilung,Z

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T11:38:53.048456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 5fd2d0f9-eb1e-46b2-8283-37b53172acff · inbound

Sub-Finslerian Interpolation Inequalities cites this paper.

Sub-Finslerian Interpolation Inequalities Sub-Randers metrics

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T19:57:57.163055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.