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Paper Citation Record · LEDGER

Density perturbations for running vacuum: a successful approach to structure formation and to the $\sigma_8$-tension

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:1801.08501.

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

pith.paper-citation-record.v1
1801.08501 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:51:10.552978Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T10:36:52.644006Z

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 df8b1d0d-4bde-4127-b134-80a84cd428db · inbound

Late Time Phenomena in $f(T,\mathcal{T})$ Gravity Framework: Role of $H_0$ Priors cites this paper.

Late Time Phenomena in $f(T,\mathcal{T})$ Gravity Framework: Role of $H_0$ Priors Density perturbations for running vacuum: a successful approach to structure formation and to the $\sigma_8$-tension

Reference 94

Resolution
unresolved
no resolver link, observed 2026-08-12T18:51:10.552978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ba625963-ea9a-4185-87d6-8727a090c8d4 · inbound

Illustrating the consequences of a misuse of $\sigma_8$ in cosmology cites this paper.

Illustrating the consequences of a misuse of $\sigma_8$ in cosmology Density perturbations for running vacuum: a successful approach to structure formation and to the $\sigma_8$-tension

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-10T18:12:33.669569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T18:12:33.669569Z digest=sha256:58b6a59d6d2d8b91054628df1a8e56821f117b0a05562865364c1d5cf5f1a7b7

Observation 7a3e9443-d831-47a6-8b5e-84af7f5fa3c3 · inbound

Decoupling perturbations from background in $f(Q)$ gravity: the square-root correction and the impact on the $\sigma_8$ tension cites this paper.

Decoupling perturbations from background in $f(Q)$ gravity: the square-root correction and the impact on the $\sigma_8$ tension Density perturbations for running vacuum: a successful approach to structure formation and to the $\sigma_8$-tension

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-03T15:40:02.222796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:40:02.222796Z digest=sha256:7337a830466f998357e17262682a330375c9638501969411f07d7bcdeb2b28da

Observation ab435c6f-4676-4324-9801-6d246b22a504 · inbound

Signatures of Modified Gravity on Linear Scales in a Dynamical Dark Energy Background cites this paper.

Signatures of Modified Gravity on Linear Scales in a Dynamical Dark Energy Background Density perturbations for running vacuum: a successful approach to structure formation and to the $\sigma_8$-tension

Reference 86

Resolution
metadata mismatch
local_arxiv, observed 2026-05-22T05:41:09.088092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-22T05:36:41.912431Z digest=sha256:e0e8e4421cb06454bcf325f61395a45e2346167c7d757221ccaf4badea73c035

Observation 4ef35660-af34-46d1-bcae-ded40f152f2b · inbound

Signatures of Modified Gravity on Linear Scales in a Dynamical Dark Energy Background cites this paper.

Signatures of Modified Gravity on Linear Scales in a Dynamical Dark Energy Background Density perturbations for running vacuum: a successful approach to structure formation and to the $\sigma_8$-tension

Reference 86

Resolution
unresolved
no resolver link, observed 2026-08-02T13:30:01.033530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T13:30:01.033530Z digest=sha256:d7702e7ff2334f17cc2324b7b13270b30031a8a62d65da4d3e8fdc040cfada2c

Observation 9997e185-d305-494e-9f91-c238d546a132 · inbound

Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy cites this paper.

Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy Density perturbations for running vacuum: a successful approach to structure formation and to the $\sigma_8$-tension

Reference 100

Resolution
verified exact
local_arxiv, observed 2026-07-02T10:36:52.645499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-28T04:59:43.971930Z digest=sha256:971daabc6d7bf805eebfa8ab9b7831540ae7cc3d81a47ad0f968f01b0fa7969a

Observation a7303777-ed3c-43db-8690-bb294d92dfd6 · inbound

Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy cites this paper.

Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy Density perturbations for running vacuum: a successful approach to structure formation and to the $\sigma_8$-tension

Reference 100

Resolution
unresolved
no resolver link, observed 2026-07-12T15:09:17.581029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T15:09:17.581029Z digest=sha256:a0b3db65a869473b66b7766956a22356c331122b1043b2791da1ec936c217df0