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Paper Citation Record · LEDGER

Equation of state of the running vacuum

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2207.07111.

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

pith.paper-citation-record.v1
2207.07111 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 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 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:32:17.582756Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T10:36:52.480028Z

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 ad231711-4aa1-446a-8f16-e2515b1cb79a · 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 Equation of state of the running vacuum

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-12T17:32:17.582756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T17:32:17.582756Z digest=sha256:85d19f99cc68202a111fbb1b0088de22cf415c2582b18a3e8469362aa5b302fd

Observation f4386942-45cd-4f9a-89e1-35da374314b1 · inbound

Gravitational wave signatures from reheating in Chern-Simons running-vacuum cosmology cites this paper.

Gravitational wave signatures from reheating in Chern-Simons running-vacuum cosmology Equation of state of the running vacuum

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-12T15:38:38.475201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:38:38.475201Z digest=sha256:8574f6e2deeb9e790e099e3be57bbdae6dca0697d296314cb21b88a294475bcf

Observation 3e3ad9fd-5207-4cb5-b3ff-7af184b376e0 · inbound

Composite Dark Energy and the Cosmological Tensions cites this paper.

Composite Dark Energy and the Cosmological Tensions Equation of state of the running vacuum

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T11:44:52.471075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:44:52.471075Z digest=sha256:c2aa8f6de033db36d402ba8de4966b36de348cb9c8fb3d1ea59ac7bafdfc0509

Observation 983e18ba-05dd-4caa-a269-f714f3cc61e7 · 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 Equation of state of the running vacuum

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-03T11:53:05.999160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:53:05.999160Z digest=sha256:d4bbc2644462648fd90c27f92c8adf4e5730109b01fc0700147b3495758ee4e8

Observation 3b909659-3c42-4cb4-8363-7cddc4e71efb · inbound

The most general four-derivative Unitary String Effective Action with Torsion and Stringy-Running-Vacuum-Model Inflation: Old ideas from a modern perspective cites this paper.

The most general four-derivative Unitary String Effective Action with Torsion and Stringy-Running-Vacuum-Model Inflation: Old ideas from a modern perspective Equation of state of the running vacuum

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-15T21:20:18.518238Z

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=2026-05-15T21:18:06.074734Z digest=sha256:3ec25ed46ca58f2718922ba7e077f088db3a9915312b0eb93f7b4105c68b29f8

Observation 05da686b-fcf1-4d20-a0ef-4efd7dbb2760 · inbound

Exploring the interplay of late-time dynamical dark energy and new physics before recombination cites this paper.

Exploring the interplay of late-time dynamical dark energy and new physics before recombination Equation of state of the running vacuum

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-14T23:13:14.772507Z

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=2026-05-14T23:13:02.830649Z digest=sha256:dd64f7ccbd099b17fe1360c6d2921a1e91a292cdfd99d5f0594d694fb2952f12

Observation ae3c8abf-0fb2-46ae-94b4-e8e1d3d05f64 · inbound

Observational tests of \texorpdfstring{$\Lambda(t)$}{Lambda(t)} cosmology in light of DESI DR2 cites this paper.

Observational tests of \texorpdfstring{$\Lambda(t)$}{Lambda(t)} cosmology in light of DESI DR2 Equation of state of the running vacuum

Reference 68

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T07:32:00.179718Z

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=2026-05-10T07:29:51.699632Z digest=sha256:cdac22e9adae24e8aed9f0054968ea8f1a7cbf9c1c224475d4c1a93a47645902

Observation ac93b642-7c23-415c-a869-b802b0965310 · 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 Equation of state of the running vacuum

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-07-02T10:36:52.481289Z

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=sha256:7f19d7e6b3ea2ad40b51f6abea6481e730f502202a25513e829197d59233c035

Observation c1124224-8697-457a-89a3-e9d70bdc34c5 · 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 Equation of state of the running vacuum

Reference 35

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:fdde79de734791dcec8eca25cd88f538e6b5f78449b6c8a4b165aa9056064803