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Paper Citation Record · LEDGER

Functional Reformulation of the Continuity Equation in Gases with Constant Density and its Application to the Existence Problem of Smooth Solutions to the Navier Stokes System

As of 22 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2507.02923.

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

pith.paper-citation-record.v1
2507.02923 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:49:38.858253Z

measured 7 of 7 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

7 of 7 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f0811f63-6c1a-4da4-94f3-44a7278e5b8a · outbound

This paper cites an unresolved cited work.

Functional Reformulation of the Continuity Equation in Gases with Constant Density and its Application to the Existence Problem of Smooth Solutions to the Navier Stokes System Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:49:39.534688Z

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=2026-08-06T22:49:38.492991Z digest=sha256:e2bf1dafec9168cc27d4c105f19db3a4696edce94aec45cbb450d1b4aacc1111

Observation 9a84dc1a-8ace-48b3-afec-246fb0d0841b · outbound

This paper cites an unresolved cited work.

Functional Reformulation of the Continuity Equation in Gases with Constant Density and its Application to the Existence Problem of Smooth Solutions to the Navier Stokes System Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:49:39.392164Z

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=2026-08-06T22:49:38.555002Z digest=sha256:af91fd8c5f4824e0dc683c6501e8fad0cc2b7890a4b68f64fd3110b6a63d32cf

Observation dfbc57a4-0d64-4b54-b2f3-c4799674b2cf · outbound

This paper cites an unresolved cited work.

Functional Reformulation of the Continuity Equation in Gases with Constant Density and its Application to the Existence Problem of Smooth Solutions to the Navier Stokes System Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:49:39.355429Z

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=2026-08-06T22:49:38.614412Z digest=sha256:ef4b65857149d458959b5651741af8be1cd54648fca9edea9dc7d74ec62f25ae

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T22:49:38.679101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:49:38.679101Z digest=sha256:92653fa6d3218657da85dfeafe9c3d0219e064668ba843d1c0c1f7828c0daead

Observation 7e95b578-28ef-427b-9b7e-ec0792d3ac11 · outbound

This paper cites an unresolved cited work.

Functional Reformulation of the Continuity Equation in Gases with Constant Density and its Application to the Existence Problem of Smooth Solutions to the Navier Stokes System Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:49:39.229394Z

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=2026-08-06T22:49:38.740536Z digest=sha256:da165b1fdafff8a70115021af606c1bfdc683fee917b6a000d1c8ece3f989db1

Observation 036d79d6-ff87-4880-8f47-32dd645e2d8f · outbound

This paper cites an unresolved cited work.

Functional Reformulation of the Continuity Equation in Gases with Constant Density and its Application to the Existence Problem of Smooth Solutions to the Navier Stokes System Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:49:39.115695Z

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=2026-08-06T22:49:38.805361Z digest=sha256:27777f0b750900e372981d846a8dc44ad6466dc9d6ac060522d83790993301b7

Observation c9a2d501-b516-4e17-9b42-165b9fd30544 · outbound

This paper cites an unresolved cited work.

Functional Reformulation of the Continuity Equation in Gases with Constant Density and its Application to the Existence Problem of Smooth Solutions to the Navier Stokes System Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:49:38.985923Z

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=2026-08-06T22:49:38.858253Z digest=sha256:33d90091153eafbdb96afdc5b6be2b9b6ca62ea9654db95e619024e52419ee21

Pith citing papers

No inbound Pith citation observations are available.