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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 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:49:38.492991Z digest=sha256:53c1ee8f430447ce8b8eb30908b3d374b3205e5e37af4a954dee122260416f74

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:49:38.555002Z digest=sha256:ab9ae304d729fdb26fa232b7871e7c5e1046bc885baad438ec1906537f158d3d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:49:38.614412Z digest=sha256:8d17b98ed4c9129d0e4c7530896bccc88f7e645bcd1c899a8de45f255bece43b

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=sha256:3798e879bbd356c009d5d3b7e568055ff0f57c72cc2812985be3f4ccd2117d0a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:49:38.740536Z digest=sha256:43a050798a6dee238b91e88bb40c2e98de1f0972a04fb41426348db038a87049

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:49:38.805361Z digest=sha256:a0e93a6af735fbab3047c65be451e1bf9ab67c6d3c2d58fc0a3e18d2e3700c57

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:49:38.858253Z digest=sha256:d99d138306449448943771acf018b2500cf28e8d1dce39d75d358195eab58c1e

Pith citing papers

No inbound Pith citation observations are available.