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Paper Citation Record · LEDGER

Phase transition between shock formation and stability in cosmological fluids

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2405.03431.

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

pith.paper-citation-record.v1
2405.03431 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T10:46:52.941329Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

2
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 79c65db1-cd0c-422d-9a75-35d585e75a66 · inbound

Instability of Slowly Expanding FLRW Spacetimes cites this paper.

Instability of Slowly Expanding FLRW Spacetimes Phase transition between shock formation and stability in cosmological fluids

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-08T10:46:52.941329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T10:46:52.941329Z digest=sha256:8a9dc3c384285158da2b575cb84be5e005b3f707066b9a9726856a2650a26164

Observation fe24a140-3230-49a0-9e72-114b2bd853ba · inbound

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes cites this paper.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Phase transition between shock formation and stability in cosmological fluids

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T15:04:40.458348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:04:40.458348Z digest=sha256:b496de916036f5f52401184735b4dcc8053c412113bc0e947d50e9bfbd48df19

Observation bdedbdfd-0fa1-46ae-96d0-ab945e82458d · inbound

Nonlinear stability of Einstein-de Sitter universes cites this paper.

Nonlinear stability of Einstein-de Sitter universes Phase transition between shock formation and stability in cosmological fluids

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-07-13T03:59:20.004385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-07-13T03:51:51.290164Z digest=sha256:61123a6b327aae532e58b5d6db2c303d035268405a3added127d9745310c953d