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Paper Citation Record · LEDGER

A Precise Fitting Formula for Gravitational Wave Spectra from Phase Transitions

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2407.02580.

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

pith.paper-citation-record.v1
2407.02580 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:15:42.178799Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T14:48:33.658574Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 81c526e8-8cd2-4639-af8e-f147f63f2922 · inbound

PhaseTracer2: from the effective potential to gravitational waves cites this paper.

PhaseTracer2: from the effective potential to gravitational waves A Precise Fitting Formula for Gravitational Wave Spectra from Phase Transitions

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-11T21:15:42.178799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:15:42.178799Z digest=sha256:c5c256f9d29bd6210e0a46eb6a15210fe7cf688941e4036c73167c4a249355fd

Observation 15320b44-2dbc-45cb-94ac-ff24e03c9312 · inbound

Gravitational Waves from Particles Produced from Bubble Collisions in First-Order Phase Transitions cites this paper.

Gravitational Waves from Particles Produced from Bubble Collisions in First-Order Phase Transitions A Precise Fitting Formula for Gravitational Wave Spectra from Phase Transitions

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-11T05:14:47.617475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:14:47.617475Z digest=sha256:3770fcf87ad76358e46e71b8db1860beca5133ab926f98f38c5e1dcca104bfa2

Observation 27b08cae-5864-45c0-a04c-845f634b3f36 · inbound

On the $\theta$-angle physics of QCD under pressure: The strange and isospin phase diagram cites this paper.

On the $\theta$-angle physics of QCD under pressure: The strange and isospin phase diagram A Precise Fitting Formula for Gravitational Wave Spectra from Phase Transitions

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-10T21:43:13.110413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:43:13.110413Z digest=sha256:c77bba71325aa31ed5e6d94ad1b692b08cea2d19f9988da2a4ca36c1564f45fd

Observation db064ef9-1fa1-474a-bfcb-62c0edf19408 · inbound

Primordial Gravitational Waves from Phase Transitions during Reheating cites this paper.

Primordial Gravitational Waves from Phase Transitions during Reheating A Precise Fitting Formula for Gravitational Wave Spectra from Phase Transitions

Reference 146

Resolution
unresolved
no resolver link, observed 2026-08-07T11:41:18.403962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:41:18.403962Z digest=sha256:e88737b81d5963fd3a7538b84a49370498bc9a1f39a49e2fe282b1000eebf7f5

Observation 094fdfdb-c3be-40dc-a3bc-84496f9df95a · inbound

A simple solution to the monopole problem: SU(5) GUT with symmetry breaking into special subgroup cites this paper.

A simple solution to the monopole problem: SU(5) GUT with symmetry breaking into special subgroup A Precise Fitting Formula for Gravitational Wave Spectra from Phase Transitions

Reference 77

Resolution
verified exact
arxiv_id, observed 2026-07-03T14:48:33.660050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-27T06:51:47.703808Z digest=sha256:eb76762a9d27e6942272eb4935fcb0b639d311fb78f0265e978e44a8112e1029

Observation 00242dea-30ad-4942-9441-9a07d1b726ea · inbound

Gravitational Waves from Multiple First-Order Phase Transitions in a Scenario with Early Matter Domination cites this paper.

Gravitational Waves from Multiple First-Order Phase Transitions in a Scenario with Early Matter Domination A Precise Fitting Formula for Gravitational Wave Spectra from Phase Transitions

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-07-03T11:28:04.071908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-03T11:19:04.456379Z digest=sha256:904aa55b726ae8c0caf10ec0a0f8edd5ab4703eca6ea8d709b9f9fe196f82232