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Paper Citation Record · LEDGER

Running vacuum against the $H_0$ and $\sigma_8$ tensions

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2102.12758.

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

pith.paper-citation-record.v1
2102.12758 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 14 of 14 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 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:28:43.549996Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T10:36:52.376561Z

Reference resolution

0 of 0 outbound references displayed

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

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 2084a115-eb9e-4c2c-8bf6-7aeb3ad10cee · inbound

In the Realm of the Hubble tension $-$ a Review of Solutions cites this paper.

In the Realm of the Hubble tension $-$ a Review of Solutions Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 203

Resolution
verified exact
arxiv_id, observed 2026-05-15T11:50:32.801066Z

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=2026-05-15T11:50:20.600831Z digest=sha256:ea9d9dd57f73d21117d93ef79816f490b68cbfd3017695d5097d08e8b206c647

Observation cbd62d23-1dd4-49c1-ba17-4566228bfb09 · inbound

Can decaying vacuum solve the H_0 Tension? cites this paper.

Can decaying vacuum solve the H_0 Tension? Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-11T19:28:43.549996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:28:43.549996Z digest=sha256:91d421f7cf056333c4c52c0383038572028faaf9a940976a55676139c1e37efc

Observation 2b795bf1-14b1-4764-b728-17fc612494ef · inbound

Composite Dark Energy and the Cosmological Tensions cites this paper.

Composite Dark Energy and the Cosmological Tensions Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-11T11:44:52.579127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:44:52.579127Z digest=sha256:3d5037bb0c6cf3c4be6742b75bcfa9242e7874d326bc446a10c04972d5b280a5

Observation 0096772b-4108-465f-9d58-986fc324af2a · inbound

An overview of what current data can (and cannot yet) say about evolving dark energy cites this paper.

An overview of what current data can (and cannot yet) say about evolving dark energy Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 108

Resolution
unresolved
no resolver link, observed 2026-08-07T18:51:43.656473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T18:51:43.656473Z digest=sha256:465b801d976296dbc56f7a1fefbab6c7353d7010b3bac0cb332e0dea441991a3

Observation 8cc6327b-8a5f-454e-8733-12cf03854dc3 · inbound

Towards a unified quantum field theory of dark energy and inflation: unstable de Sitter vacuum and running vacuum cites this paper.

Towards a unified quantum field theory of dark energy and inflation: unstable de Sitter vacuum and running vacuum Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-03T11:53:06.007174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:53:06.007174Z digest=sha256:082e6402ba021785bbc4c1ee1f1a202dc6702ba0c07716517bf450e69fcdbf36

Observation 3d4d3653-9e1e-407f-9834-863c5fb10392 · inbound

Cosmologically viable non-polynomial quasi-topological gravity: explicit models, $\Lambda$CDM limit and observational constraints cites this paper.

Cosmologically viable non-polynomial quasi-topological gravity: explicit models, $\Lambda$CDM limit and observational constraints Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 84

Resolution
verified exact
arxiv_id, observed 2026-05-11T10:26:00.116200Z

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=2026-05-10T15:30:57.195869Z digest=sha256:ba43ede824cda7a387325705aec95d3abe65653445308a5e1550f84057b7b139

Observation a6d231c4-8549-4f6a-af81-c858648ee3ec · inbound

Buchdahl Limit and TOV Equations in Interacting Vacuum Scenarios cites this paper.

Buchdahl Limit and TOV Equations in Interacting Vacuum Scenarios Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-11T10:31:04.707386Z

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=2026-05-10T15:26:10.470445Z digest=sha256:d81f7f478f20f8120e5ec16479762befcd491484738fa84763b26d6bfc81202f

Observation 684edeea-fdb5-4ee2-a0ba-713add7a4146 · inbound

A No-Go Theorem for Topological Bridges with Matter-Vacuum Coupling cites this paper.

A No-Go Theorem for Topological Bridges with Matter-Vacuum Coupling Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-15T02:08:29.544485Z

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=2026-05-15T02:05:21.426447Z digest=sha256:3e105a73882bdc65a4025644f0c6d10a8b4b59eaeaa46404fb95908b55e46c48

Observation 1c924e81-fbec-427e-8a6d-07f607d5f297 · 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 Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 98

Resolution
verified exact
arxiv_id, observed 2026-05-22T05:41:09.038756Z

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=2026-05-22T05:36:41.912431Z digest=sha256:7f9d6af8417c5a79075820d31a4a9a38e627a764c504ecc45749cfbede44c073

Observation 6a4bd983-b976-49f7-a991-d585cd425f97 · 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 Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-02T13:30:02.798028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T13:30:02.798028Z digest=sha256:357075a68b3e81231dfb3ecf3f3a69fb298762d50910913e522c057adc1251b8

Observation 29d3db07-dc9f-4319-a261-9d5d1d76fb37 · 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 Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 73

Resolution
verified exact
arxiv_id, observed 2026-07-02T10:36:52.377960Z

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=2026-06-28T04:59:43.971930Z digest=sha256:45e4b693c7c5932b85e44ca90c501a8aa439560f34ceae822d19f20d93e0bb5d

Observation b24edfe4-e5b2-49bd-87c6-f3559cc5ca2f · 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 Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 73

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=sha256:923b70eae8b82689a01383cba84fe0514f6842b549488ec4bd84ca444373d69a

Observation 098574dc-f5d2-4aae-97ad-1db7d9b23c61 · inbound

Running into tension: primordial black holes from ultra-slow-roll inflation, spectral running, and the Hubble tension cites this paper.

Running into tension: primordial black holes from ultra-slow-roll inflation, spectral running, and the Hubble tension Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 188

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:25:45.251007Z

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=2026-07-01T04:31:47.886338Z digest=sha256:df82226736d59392e9e619c25a235899b32c6656dbcd95b78899c7f1856d9825

Observation 88eb74cf-17a7-4aa2-9a0e-e894ecf66a10 · inbound

Hubble tension: the shape wall cites this paper.

Hubble tension: the shape wall Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 91

Resolution
unresolved
no resolver link, observed 2026-08-01T08:08:41.035047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:08:41.035047Z digest=sha256:f0ceb5eda0a55d6b5ac4de4051df8e135c00c764de867cc60063c6bca100a152