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Paper Citation Record · LEDGER

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

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 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 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 16 of 16 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:30:03.234286Z

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
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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 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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-15T11:50:20.600831Z digest=sha256:dfd3177f3ffe0bae63995e52d00092f59214c93f8605cc98d1930c2c29e38fe9

Observation eae3ed76-963e-49ce-a2b6-b278e02ff996 · inbound

Quantum-Ordering Ambiguities in Weak Chern-Simons 4D Gravity and Metastability of the Condensate-Induced Inflation cites this paper.

Quantum-Ordering Ambiguities in Weak Chern-Simons 4D Gravity and Metastability of the Condensate-Induced Inflation Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-12T17:32:17.591880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T17:32:17.591880Z digest=sha256:eea10a9806a6e1600eb78e38a6e0bd4ed0f67d4fd4429fa5560d00c105a7e8b3

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:df5821eb42323d51570ca1175adc14b9b7d70da6ae0165fdb540fddf2167fa5c

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:f23d4629d244ca03f49a4ed804bfae241bcb71bd473ff6a13a0b95fbd5c0ea53

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=sha256:084e8ef324c389a7452555e8da20b3e78be2af7779160fefb72c3bd1f20b9513

Observation 12ef7f9e-56cf-4233-8be9-dcd062b3c840 · inbound

New cosmological constraints on the evolution of dark matter energy density cites this paper.

New cosmological constraints on the evolution of dark matter energy density Running vacuum against the $H_0$ and $\sigma_8$ tensions

Reference 114

Resolution
unresolved
no resolver link, observed 2026-08-15T21:30:03.234286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:30:03.234286Z digest=sha256:c177896df6a331fbfc573b7c8c82580f0cdd80f7a5180e1ff30862b70bf573e1

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:bfb76dbd0eeba88b2a1ad5c586016dafa7e6b4ab0c20e5a08ec0207dcbc16b0a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T15:30:57.195869Z digest=sha256:bf0a93ef35b9911bba2e919d0e62aa8b888b11bc62654812f908088a1327093b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T15:26:10.470445Z digest=sha256:2ea28878858227431022297b800613bc4cd2af05e0777752179d9270f4d79f52

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-15T02:05:21.426447Z digest=sha256:0655303540830e8570accd32b685f9cbb22a0af46ea83b54881f56820a44622c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-22T05:36:41.912431Z digest=sha256:214fbfe77c06aee86b8677cf5a103e1cb65aa3471f17e72a8ac3f5270e15d5ef

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=sha256:5055004cb14ed4dccfd84bf873a97d5360b20983f1ae1715caaa2416c1065c92

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-28T04:59:43.971930Z digest=sha256:c5047cfaf670e45fe079d0e488e963baadfedd44920cfb2c80970be7aca96218

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=sha256:16a01ce655e37d4481e5602e166cb1362f6e8451e4af3c10a964eb2a97db8278

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-01T04:31:47.886338Z digest=sha256:75fa584fe55116cd99eccfdb3ef57ede2d9478b0c6ac34fb49630cfda68a4658

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=sha256:907c2ac64906b44411f458ed70eb8214cd56a4424f127352092323ea5df598c5