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Paper Citation Record · LEDGER

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form

As of 22 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2608.05459.

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

pith.paper-citation-record.v1
2608.05459 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T12:52:14.436977Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

10 of 10 outbound references displayed

  • verified exact1
  • verified fuzzy3
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 40849666-aa8a-4d40-8a1e-508b8f980664 · outbound

This paper cites The Pseudo-Analytic Charge.

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form The Pseudo-Analytic Charge

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-08T12:52:14.498205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T12:52:14.401865Z digest=sha256:77ee0b24f345dd1511eabce3f46e12f44816cdce64b599e9a8ee324a2a0be9c3

Observation dadf8cae-5965-4b80-b398-67d5a5829411 · outbound

This paper cites The Framed Beltrami-Vekua Normal Form and its Pseudo-Analytic Mass.

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form The Framed Beltrami-Vekua Normal Form and its Pseudo-Analytic Mass

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-08T12:52:14.406555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T12:52:14.406555Z digest=sha256:e354f235a83c7afbe55bda62a2acb34a50b4a1f76025abd37a9652cba7d3d6b9

Observation c766c6c2-5461-424f-b452-94cdff6d53e5 · outbound

This paper cites The Absorption Theorem for the Beltrami-Vekua Normal Form.

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form The Absorption Theorem for the Beltrami-Vekua Normal Form

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-08T12:52:14.410311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T12:52:14.410311Z digest=sha256:0e4ede29531fbacafe77f867187c7b2aa0fb4d303afc63e916ac7bfeb72d704b

Observation 5af8b354-a714-49bc-9f24-4825dac957d2 · outbound

This paper cites The Pseudo-Analytic Mass of a Beltrami-Vekua Equation.

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form The Pseudo-Analytic Mass of a Beltrami-Vekua Equation

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-08T12:52:14.415312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T12:52:14.415312Z digest=sha256:f15306e6dd4222ae1a56a7b27a24ad9deb417bbe9f2d01f9f037acd3cb0883e5

Observation 98115007-ab6b-401a-afe0-00a652ab4aec · outbound

This paper cites an unresolved cited work.

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-08T12:52:14.419666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T12:52:14.419666Z digest=sha256:e463d641ea0f4c7fed19edd9266a92dd5bd25a0289cecf52aee28d9a0e4c675b

Observation 397c393f-441b-4aef-b92b-90196b4cb6cd · outbound

This paper cites Bers,Theory of Pseudo-Analytic Functions, New York University, 1953.

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form Bers,Theory of Pseudo-Analytic Functions, New York University, 1953

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-08T12:52:14.423212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T12:52:14.423212Z digest=sha256:5e55e250091d307dba5979a39674ea0279845a1115a347cc66df38509852b49f

Observation 2eadf19e-39d6-481c-b3d1-a2b2c2bee97a · outbound

This paper cites Bojarski,Generalized solutions of a system of differential equations of first order and of elliptic type with discontinuous coefficients, Mat.

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form Bojarski,Generalized solutions of a system of differential equations of first order and of elliptic type with discontinuous coefficients, Mat

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:52:14.542681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T12:52:14.426993Z digest=sha256:2d5b525abfe15f588ad603ca7f5ad38c1b7145af85d004d1223851cedebe15a2

Observation bcb4986c-854d-474a-965a-b1d2a6c5230d · outbound

This paper cites Astala, T.

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form Astala, T

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:52:14.532259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T12:52:14.430388Z digest=sha256:119f46eaa11d768f5b2929d69ba8bf0d3e94493351ebba5335d2c35af37feb99

Observation 8c3875df-e6c3-477c-81ab-8bfa40cb5c04 · outbound

This paper cites an unresolved cited work.

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-08T12:52:14.521635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T12:52:14.433703Z digest=sha256:ef948ef3b1e267f654009c433c0ab47fe37e1075eccaa4e2aa3aa8abcc6d2a48

Observation f141eafb-93f2-48ac-a74b-71deb4f493ea · outbound

This paper cites de Rham,Differentiable Manifolds: Forms, Currents, Harmonic Forms, Grundlehren der mathematischen Wissenschaften266, Springer-Verlag, Berlin, 1984.

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form de Rham,Differentiable Manifolds: Forms, Currents, Harmonic Forms, Grundlehren der mathematischen Wissenschaften266, Springer-Verlag, Berlin, 1984

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T12:52:14.509947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T12:52:14.436977Z digest=sha256:4e4db8b5eda1527e296c1ff888df8960f61faac150d0446200afb016d12c5d60

Pith citing papers

No inbound Pith citation observations are available.