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Paper Citation Record · LEDGER

First-order thermodynamics of Horndeski gravity

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2108.10706.

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

pith.paper-citation-record.v1
2108.10706 v1

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 2026-08-11T06:34:44.6726+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:42:54.555370Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T15:14:47.473291Z

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 c1aa39af-f1a8-4963-947b-7230c6dff4f5 · inbound

Cosmological scalar perturbations in Horndeski-like gravity cites this paper.

Cosmological scalar perturbations in Horndeski-like gravity First-order thermodynamics of Horndeski gravity

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-10T21:42:54.555370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:42:54.555370Z digest=sha256:3fc69072566f3c8e2baf3a98e979eb3fae867468e3de3c907008faecc9b86006

Observation cee396a1-eddd-4a59-a5c9-91f54b31f0f9 · inbound

Eckart heat-flux applicability in $F(\Phi,X)R$ theories and the existence of temperature gradients cites this paper.

Eckart heat-flux applicability in $F(\Phi,X)R$ theories and the existence of temperature gradients First-order thermodynamics of Horndeski gravity

Reference 66

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verified exact
arxiv_id, observed 2026-05-16T20:18:23.519731Z

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=2026-05-16T20:17:35.469009Z digest=sha256:c07eb643b021b0c091bac736de243cce51d9f837492da5dc9f1ce8f0f7b2d22a

Observation 3827207d-8728-42e7-a360-f0544cf331b8 · inbound

Thermal channels of scalar and tensor waves in Jordan-frame scalar--tensor gravity cites this paper.

Thermal channels of scalar and tensor waves in Jordan-frame scalar--tensor gravity First-order thermodynamics of Horndeski gravity

Reference 33

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verified exact
arxiv_id, observed 2026-05-14T21:27:59.415513Z

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=2026-05-14T21:27:47.385077Z digest=sha256:c46146a40f86ac6135848e671db617faef59308adccd0fd9fa07bfde5c9fcc9c

Observation df3f1dbd-d132-4f0b-83df-336abb665931 · inbound

Frame invariant diffusive formulation of scalar-tensor gravity cites this paper.

Frame invariant diffusive formulation of scalar-tensor gravity First-order thermodynamics of Horndeski gravity

Reference 18

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metadata mismatch
arxiv_id, observed 2026-05-10T07:57:15.759848Z

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=2026-05-10T07:53:24.413562Z digest=sha256:8c10b2c6bc04fb17b31fd51463af435924f35fe554dfae3c73a606dfa82ef8e5

Observation 8f96dc23-4454-4911-9066-bef3456190ed · inbound

First-order thermodynamics of multi-scalar-tensor gravity cites this paper.

First-order thermodynamics of multi-scalar-tensor gravity First-order thermodynamics of Horndeski gravity

Reference 52

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verified exact
arxiv_id, observed 2026-05-10T07:06:53.046111Z

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=2026-05-10T07:02:52.362106Z digest=sha256:72bf80a858373c0ae9bd746bab56a709d16350afd0880e3bc16d5a3615788b09

Observation 27beebd1-7d31-4d14-8fa9-59082889bbcf · inbound

Towards a causal effective thermodynamics of scalar-tensor gravity cites this paper.

Towards a causal effective thermodynamics of scalar-tensor gravity First-order thermodynamics of Horndeski gravity

Reference 17

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T15:14:47.474952Z

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=2026-06-30T15:06:22.045878Z digest=sha256:00b28a23f2fdab2f4036d8dd2a18bfbcca8e7ca05171b358e20eded01bf51b6a

Observation d5c48537-ccd4-4497-9876-1be0d9abff5d · inbound

Towards a causal effective thermodynamics of scalar-tensor gravity cites this paper.

Towards a causal effective thermodynamics of scalar-tensor gravity First-order thermodynamics of Horndeski gravity

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-02T13:34:06.334932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T13:34:06.334932Z digest=sha256:e4238df1f5f51e4f00c00281c4126bfd4ac285243a4837f5ae5984adb2e5ba80

Observation 754e282e-8ba3-4c7c-bd00-b3b61133d8e5 · inbound

Gravitational Waves as Thermodynamic Shear Excitations in Scalar-Tensor Gravity cites this paper.

Gravitational Waves as Thermodynamic Shear Excitations in Scalar-Tensor Gravity First-order thermodynamics of Horndeski gravity

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-01T21:08:02.144526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:08:02.144526Z digest=sha256:03fa32844e6c0babb88232101049edc274e899ffbad6b49028839240efbb9df5

Observation 5eea2cd6-4d20-4c82-9fd6-2538623587b3 · inbound

Cosmological constraints and standard sirens forecasts for non-dynamical dark energy in Horndeski gravity cites this paper.

Cosmological constraints and standard sirens forecasts for non-dynamical dark energy in Horndeski gravity First-order thermodynamics of Horndeski gravity

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-08T00:42:49.682577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T00:42:49.682577Z digest=sha256:46c50c91a4858ff6d5acf90a1561d6a38986e052fe9edda0162b789f926d7ca8