Paper Citation Record · LEDGER

Universality and non-differentiability: A new perspective on angular dispersion in optics

As of 21 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2506.18858.

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

pith.paper-citation-record.v1
2506.18858 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:49:56.734406Z

measured 13 of 13 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

verified exact0
verified fuzzy3
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0affbaf-2e9a-47f3-92c8-993be852f620 · outbound

This paper cites an unresolved cited work.

Universality and non-differentiability: A new perspective on angular dispersion in optics Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:49:57.021647Z

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 bff88504-b613-4c51-82e7-7c53aa7647d4 · outbound

This paper cites an unresolved cited work.

Universality and non-differentiability: A new perspective on angular dispersion in optics Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:49:56.999809Z

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 e234a141-dc3d-4a3a-8416-b19c949c0092 · outbound

This paper cites an unresolved cited work.

Universality and non-differentiability: A new perspective on angular dispersion in optics Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:49:56.982710Z

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 4623d535-2dff-4cca-b933-95a8ca3606a0 · outbound

This paper cites an unresolved cited work.

Universality and non-differentiability: A new perspective on angular dispersion in optics Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:49:56.964696Z

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 29b90942-f9bf-4f11-b6b0-b07a8c339d8c · outbound

This paper cites For example, realizing normal GVD in free space when ϕo = 0.

Universality and non-differentiability: A new perspective on angular dispersion in optics For example, realizing normal GVD in free space when ϕo = 0

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:49:56.943069Z

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 3545798c-1a3e-4804-a2ce-0ad78b309f4f · outbound

This paper cites By requiring that ω = ωo propa- gate along z (ϕo =0◦ and ka =ko), then kz =ko + (ω− ωo)/ev, whereupon ϕ(Ω)≈ q 2(1−en) Ω ωo ∝ √ Ω, which is not differ- entiable at Ω = 0.

Universality and non-differentiability: A new perspective on angular dispersion in optics By requiring that ω = ωo propa- gate along z (ϕo =0◦ and ka =ko), then kz =ko + (ω− ωo)/ev, whereupon ϕ(Ω)≈ q 2(1−en) Ω ωo ∝ √ Ω, which is not differ- entiable at Ω = 0

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:49:56.920731Z

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 e7ab1077-6d3e-49bf-bc38-722adfca942c · outbound

This paper cites an unresolved cited work.

Universality and non-differentiability: A new perspective on angular dispersion in optics Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:49:56.895839Z

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 e529e953-f1d3-4a00-9e2d-95dc8e526c60 · outbound

This paper cites Finally, maintainingen(ω)=en is possible when ϕ(ω) =ϕo, which corresponds to X-waves that are thus AD- free with en = cos ϕo.

Universality and non-differentiability: A new perspective on angular dispersion in optics Finally, maintainingen(ω)=en is possible when ϕ(ω) =ϕo, which corresponds to X-waves that are thus AD- free with en = cos ϕo

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:49:56.878443Z

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 c2bffdbd-4c1f-46ed-be4c-b43449125b02 · outbound

This paper cites an unresolved cited work.

Universality and non-differentiability: A new perspective on angular dispersion in optics Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:49:56.863121Z

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 3a86ee72-5696-4dd9-96af-5d61a741af0d · outbound

This paper cites an unresolved cited work.

Universality and non-differentiability: A new perspective on angular dispersion in optics Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:49:56.847823Z

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 f9749c5f-ec9a-4c45-af53-a3ac4190266a · outbound

This paper cites an unresolved cited work.

Universality and non-differentiability: A new perspective on angular dispersion in optics Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:49:56.827619Z

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 f64698da-2390-49d6-95f4-3be7e95dbe7d · outbound

This paper cites an unresolved cited work.

Universality and non-differentiability: A new perspective on angular dispersion in optics Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:49:56.807879Z

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 cacf21ec-b80b-482c-ad68-f3ef78dd96c1 · outbound

This paper cites Space-time wave packets propagating a kilometer in air.

Universality and non-differentiability: A new perspective on angular dispersion in optics Space-time wave packets propagating a kilometer in air

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T18:49:56.734406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.