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Paper Citation Record · LEDGER

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

As of 17 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-15T11:50:20.600831Z digest=sha256:a19baf67e9723c809458911952b94953f1e64963fbca847475e3b06a26071e48

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:d94363e01b809e3e2192f0212f2351d5445bc3ba87afcfa1cd2f0417674bfaee

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:f78d7794a61582a5302d41de089658732096c1cc6ccb0bf51e9698f993e63ae6

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=sha256:2fe568e97522b792f79cff68272cf2bc1fe51a1b4e880e8178d9bee1b0711024

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=sha256:9e5abf952e54247d13a776214458ef258f18264f423c779147a9b621c35c5e57

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-10T15:30:57.195869Z digest=sha256:220b02aed0874d4a03774132273688ffb65b0d57e31a426d64638f8b72b5b0bf

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-10T15:26:10.470445Z digest=sha256:9fbfd9b1af5e62d9a58bdb228a8ece8505d5e4bea29c8987a47a63343095df3f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-15T02:05:21.426447Z digest=sha256:2c96f77c0490781f48dce840fe063a0535308052ee2cb90f73ec1fdcfac57cd3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T05:36:41.912431Z digest=sha256:5285b19ee69bc5e3d81fb392720c72ed4255da0fea3cfb074b5398ab21b6d83a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-28T04:59:43.971930Z digest=sha256:275f1a7e1ea767237ddbb27549c294f17806cd0845816266e9cb707afabe680a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-01T04:31:47.886338Z digest=sha256:ec1e6e4be44c77fd186c5be56f65e463105234c05e294da9fdcc13dac0a735e3

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=sha256:05bacfd0fa6e920c2e26e0e41da91a090c3300f5023d4734afc787c742dfa5c1