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Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.665870Z digest=sha256:4bc26604b6ba4ff4a3908efb7ae6ea0f241b668f23f486d916e980f4b1d09359

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.671040Z digest=sha256:761919b3f5851dffe8b0048d5cdb3921c1f8cb6ef35235205047d19b4ff229a3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.677592Z digest=sha256:3520154494fba9dc28b8acc863a041e12b2ebbdafbe2753ca97206af7bbd7bcc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.683981Z digest=sha256:eb8803952bf304b129fe1c0709ff959f3d64a0933b2f173b44238ad431daddc6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.689701Z digest=sha256:3815d0623fe295245a080989786c3ba873080a1fab0313a1b2e7e62a072fccb1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.695255Z digest=sha256:7b9c3e03c0063cabbbb275594ee3a3350eae7ec6e33e5dec52682849632aaea3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.700815Z digest=sha256:1a4ea54f124d1be550087251076ea070704e10e0e92e09ac6c339c72c861e2f1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.706705Z digest=sha256:7a329a74ea83b3d408ce127d7cff3796a8d4e9b0fcd291030521ad281535f51f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.713751Z digest=sha256:e59ca2a33bdf9a3756d27f50527d54d6f69af971bfaa52e62db743eaf650a92c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.719658Z digest=sha256:c00530284a333f0aa56367a0ad90b41a76beda78cdcb8ff209a4a046ad7a90ea

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.724549Z digest=sha256:a54b8177e025759084fd182eb940f00ed991fc859d3cf9d04d7b8272beb33610

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T18:49:56.728799Z digest=sha256:09adbdcde904beaa3a1bd087eb08d1b5cfcc4b0c36c931f605fe088f9b15ec7d

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.

source=pdf_text observed=2026-08-15T18:49:56.734406Z digest=sha256:fa71e3fa91b846b24731e0fbd915a0596d3e2b52538ddd6f48cea7ee742f0426

Pith citing papers

No inbound Pith citation observations are available.