Pith. sign in

Paper Citation Record · LEDGER

Thermodynamics of Spacetime: The Einstein Equation of State

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 66 inbound Pith citation observations for arXiv:gr-qc/9504004.

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

pith.paper-citation-record.v1
gr-qc/9504004 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 66 of 66 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 66 of 66 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:20:22.548280Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T15:19:56.917800Z

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 7aa406ef-5ad3-457c-ba90-38db339460b5 · inbound

Black hole chemistry: thermodynamics with Lambda cites this paper.

Black hole chemistry: thermodynamics with Lambda Thermodynamics of Spacetime: The Einstein Equation of State

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-05-17T10:30:43.797013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-17T10:30:43.448967Z digest=sha256:5abb437a5b5a2047504da0c0ce08df5a2b5530c6a024d52ad4ca4390c319bf62

Observation aaa4c8a8-b74f-4409-9984-64931667e434 · inbound

Gravitational focusing and horizon entropy for higher-spin fields cites this paper.

Gravitational focusing and horizon entropy for higher-spin fields Thermodynamics of Spacetime: The Einstein Equation of State

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-11T19:15:48.563857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:15:48.563857Z digest=sha256:db547ae26c32832775a8986bdd176aee869d76543a92effd86a99940da4b5b67

Observation 738d6065-7abb-47f8-b3bf-6d1b5f89a308 · inbound

Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach cites this paper.

Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach Thermodynamics of Spacetime: The Einstein Equation of State

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-10T23:12:12.507597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:12:12.507597Z digest=sha256:f672d73eb60195c3b42f49d64683651c2fbb22c0a1837a033279b85915d39433

Observation 5dd4c32a-ca5f-44f1-9298-699e47135506 · inbound

Observational implications of Wald-Gauss-Bonnet topological dark energy cites this paper.

Observational implications of Wald-Gauss-Bonnet topological dark energy Thermodynamics of Spacetime: The Einstein Equation of State

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-10T14:00:10.972457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:00:10.972457Z digest=sha256:51e26f07f70025ba52e594a42fc912d66f68dbd9e196d62853e7f95bda452741

Observation ecee2283-e79f-46cf-9dba-69071129d875 · inbound

Note on 't Hooft's Shock Wave Commutators From Near Horizon Conformal Field Theory cites this paper.

Note on 't Hooft's Shock Wave Commutators From Near Horizon Conformal Field Theory Thermodynamics of Spacetime: The Einstein Equation of State

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-09T15:38:59.213148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:38:59.213148Z digest=sha256:c4aaf00064683e604dded7c90e01ad2c23adda57427b254f46fb12439f8f39bb

Observation c40a1cb8-50c0-4b43-ac1e-fc5b3d25756c · inbound

Correspondence between Myrzakulov $F(R,Q)$ gravity and Tsallis cosmology cites this paper.

Correspondence between Myrzakulov $F(R,Q)$ gravity and Tsallis cosmology Thermodynamics of Spacetime: The Einstein Equation of State

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-08T22:46:08.585101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T22:46:08.585101Z digest=sha256:b8c9267affe2a29193b07b159de329d0afb22696c9d1d283a4c851cf5d8744f1

Observation aec0d9a8-3d94-4e12-b0f2-3ec84fd80912 · inbound

Hilbert Bundles and Holographic Space-time: the Hydrodynamic Approach to Gravity cites this paper.

Hilbert Bundles and Holographic Space-time: the Hydrodynamic Approach to Gravity Thermodynamics of Spacetime: The Einstein Equation of State

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-08T21:04:41.157005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:04:41.157005Z digest=sha256:a8d6d85da3b5f87e4b2dd640c6e10a6db6b2fa7e1dc9026f42a3e06a1fa02d94

Observation fcb8817f-9567-4789-b9b0-fcee7d4dd86e · inbound

Electromagnetism from relativistic fluid dynamics cites this paper.

Electromagnetism from relativistic fluid dynamics Thermodynamics of Spacetime: The Einstein Equation of State

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-05-23T04:22:30.756539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:a275b77c676d3a14a8e217d8e6548ac2d301b243fbeaad5039c2a04252eedab0

Observation 1dcbaf11-7085-4811-9ec9-18d8c02bbccd · inbound

The Hydrodynamic Approach to Quantum Gravity cites this paper.

The Hydrodynamic Approach to Quantum Gravity Thermodynamics of Spacetime: The Einstein Equation of State

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T15:17:07.745482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:17:07.745482Z digest=sha256:0db2eb54f96319e91298901d1d6de84636df3f6c369b68d42f4d7200b33828c7

Observation 1aef1d87-d48a-4176-b734-2b2652bb6a4f · inbound

Recovering Einstein's equation from local correlations with quantum reference frames cites this paper.

Recovering Einstein's equation from local correlations with quantum reference frames Thermodynamics of Spacetime: The Einstein Equation of State

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-05-19T11:47:15.793669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T11:46:15.270201Z digest=sha256:b094a8e8e267df66b80285694cbd0ce5d165dbe7d9d04b8ac18dc50eba1e521b

Observation 7446ac16-9de7-401e-8656-4c8a4bedc114 · inbound

Holographic Ordering and Negative entropy in Non-equilibrium Euclidean Black Hole Path Integralsl cites this paper.

Holographic Ordering and Negative entropy in Non-equilibrium Euclidean Black Hole Path Integralsl Thermodynamics of Spacetime: The Einstein Equation of State

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T17:39:50.709527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:39:50.709527Z digest=sha256:2e3c0c99e312bc854ebc0c9a7b2daa3a42e0f7e4dda537d408b9331a5c2eacd9

Observation 74089f13-3e03-4414-8fa9-f8cad4cf48ad · inbound

Constraints on R\'{e}nyi Entropy through Primordial Big-Bang Nucleosynthesis and Baryogenesis cites this paper.

Constraints on R\'{e}nyi Entropy through Primordial Big-Bang Nucleosynthesis and Baryogenesis Thermodynamics of Spacetime: The Einstein Equation of State

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-06T16:29:30.719856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:29:30.719856Z digest=sha256:103792d695021b02d4478a3707bfac8f2e39dcfbb23b5288f3fb76d285294b05

Observation 7b133746-637a-4f12-97ea-e3a45806a6e2 · inbound

Quantum Black Holes: Perihelion Advance, Quasi Normal Modes and Classical/ Topological Thermodynamics cites this paper.

Quantum Black Holes: Perihelion Advance, Quasi Normal Modes and Classical/ Topological Thermodynamics Thermodynamics of Spacetime: The Einstein Equation of State

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T14:09:33.230755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:09:33.230755Z digest=sha256:356f37b7770b9a0cad6c5cedd6016a594b5c44816640d50fd41d14e5efc454aa

Observation 8ce56492-e885-4009-bdc9-a80a125b4226 · inbound

Semi-classical spacetime thermodynamics cites this paper.

Semi-classical spacetime thermodynamics Thermodynamics of Spacetime: The Einstein Equation of State

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-05-18T19:11:47.349227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-18T19:08:49.485966Z digest=sha256:1ba85a053c9d1c96049972f3939b51db6d3312008e809134fa57068807a5be63

Observation 25e12928-131b-46a2-ad4f-799ce03e4586 · inbound

Observational constraints on the modified cosmology inspired by string T-duality cites this paper.

Observational constraints on the modified cosmology inspired by string T-duality Thermodynamics of Spacetime: The Einstein Equation of State

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T09:19:32.195605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:19:32.195605Z digest=sha256:ea9d1ac3dfd4e05a1a09251c0d848525fd7a9fdeaef016051f8c4bc2b820618e

Observation b958c9b0-599c-4b2e-be4e-e8a48690c811 · inbound

Effective matter sectors from modified entropies cites this paper.

Effective matter sectors from modified entropies Thermodynamics of Spacetime: The Einstein Equation of State

Reference 91

Resolution
unresolved
no resolver link, observed 2026-08-03T23:47:54.519930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:47:54.519930Z digest=sha256:a47765cb8aeb11cbed3c34660689a2a2240b799681a6787ca3fb7a15175fa940

Observation dc9c5bce-a456-495f-b07e-0ca07278aa7a · inbound

Work distribution and fluctuation theorem in AdS/CFT cites this paper.

Work distribution and fluctuation theorem in AdS/CFT Thermodynamics of Spacetime: The Einstein Equation of State

Reference 13

Resolution
malformed identifier
no resolver link, observed 2026-08-03T22:38:57.075004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:38:57.075004Z digest=sha256:46d65e33b9e7c16b911938bcba8c9c1306480dd7c5248dcc3c368c60c9680475

Observation 34a3b8b9-a1c4-483f-aa03-d987ba3ec4cd · inbound

Dark Matter from Holography cites this paper.

Dark Matter from Holography Thermodynamics of Spacetime: The Einstein Equation of State

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-05-17T22:12:09.091881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-17T22:11:14.731468Z digest=sha256:d77da686e50c0b041746c8b5905e91562c4e68960e1a17fe573e88aa9df98413

Observation db1ef72e-9823-4990-9f4b-eb4adc4f5e3e · inbound

Entanglement first law for timelike entanglement entropy and linearized Einstein's equation cites this paper.

Entanglement first law for timelike entanglement entropy and linearized Einstein's equation Thermodynamics of Spacetime: The Einstein Equation of State

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-03T21:07:19.659234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:07:19.659234Z digest=sha256:00e58edb1b1316ce19cbe071c8c2ee101b6af4f826254e6007a28fa215be3a40

Observation df7e2413-b48d-4cfd-aea2-4df33322191b · inbound

Hints Beyond $\Lambda$CDM from Barrow and Tsallis Holographic Dark Energy with GO cutoff cites this paper.

Hints Beyond $\Lambda$CDM from Barrow and Tsallis Holographic Dark Energy with GO cutoff Thermodynamics of Spacetime: The Einstein Equation of State

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-03T12:39:06.098348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T12:39:06.098348Z digest=sha256:290b4d2bdb0e0e35130c2f649365c59c59909e9e8a7cfe20b4fd960c9746f430

Observation 53522ba6-25c5-4f72-9e54-87cb25703c48 · inbound

Black hole thermodynamics at null infinity. Part 2: Open systems, Markovian dynamics and work extraction from non-rotating black holes cites this paper.

Black hole thermodynamics at null infinity. Part 2: Open systems, Markovian dynamics and work extraction from non-rotating black holes Thermodynamics of Spacetime: The Einstein Equation of State

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-04T06:36:35.735943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:36:35.735943Z digest=sha256:b30df1632e0cbfd7274b590953bd5ea4945a7a1b43f1280bc7697fa3842ab70e

Observation 6faad0b0-1aa4-4697-8657-4db30db7e9c4 · 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 Thermodynamics of Spacetime: The Einstein Equation of State

Reference 122

Resolution
unresolved
no resolver link, observed 2026-08-03T11:53:06.155691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:53:06.155691Z digest=sha256:3267add3098158cee6cb87d2d28e2e674378f9d8acba14f2149a590158ca2680

Observation 81e27b27-5476-4b78-9952-59fdcca46bba · inbound

Diamonds in the Bulk and Large-$N$ Scaling in AdS/CFT cites this paper.

Diamonds in the Bulk and Large-$N$ Scaling in AdS/CFT Thermodynamics of Spacetime: The Einstein Equation of State

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:50.502034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:38:50.502034Z digest=sha256:67009c3f37578171156794abba0c17a93993d19b035bf29a2d491dd4ad4cc862

Observation 81da1bcb-8e49-475a-ac21-cc6f75d5dc65 · inbound

Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature cites this paper.

Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature Thermodynamics of Spacetime: The Einstein Equation of State

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-05-16T09:37:41.880858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-16T09:34:05.494768Z digest=sha256:3f06d63f4d44736c5b11507a6698e701c1c51f8dd782feccff6cc7b8712dc691

Observation 2f2bde14-ff0a-40ae-9c15-ed30f781f820 · inbound

Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature cites this paper.

Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature Thermodynamics of Spacetime: The Einstein Equation of State

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T06:10:50.603010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:10:50.603010Z digest=sha256:d5f9746b98f8532388f8a9b3ac5bd372f03a6c8d692ea966f127d667b30ea3c7

Observation 2fcdad90-f84f-49c0-ae42-525001f1dbe7 · inbound

GR from RG: Gravity Is Induced From Renormalization Group Flow In The Infrared cites this paper.

GR from RG: Gravity Is Induced From Renormalization Group Flow In The Infrared Thermodynamics of Spacetime: The Einstein Equation of State

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-05-21T13:50:12.856142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-21T13:47:04.304083Z digest=sha256:9dfbda7c405ee4db0da36d0c564b283dfa6691247212e7dba93039cf6358f4ec

Observation 66733bbe-190e-45be-8a74-f362eaa71660 · inbound

Spherically symmetric black holes in Gravity from Entropy and spontaneous emission cites this paper.

Spherically symmetric black holes in Gravity from Entropy and spontaneous emission Thermodynamics of Spacetime: The Einstein Equation of State

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-05-15T22:40:22.300402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-15T22:37:19.815218Z digest=sha256:224d921fde31f85f313f1b4ca0988a308277e84da4a806b3d757f74ffbdf7922

Observation 027ffd75-7bcd-46a8-9f83-6efaec2b2789 · inbound

Penrose-Rindler equation and horizon thermodynamics of stationary black holes cites this paper.

Penrose-Rindler equation and horizon thermodynamics of stationary black holes Thermodynamics of Spacetime: The Einstein Equation of State

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T22:47:17.359772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T22:47:17.359772Z digest=sha256:41ff6d7ba31a389076cf8bb54ad50ee168e6649ec27b3eaf6259fad761f70d9d

Observation bf7edd12-ad80-4f10-a1fc-863e4088e89b · inbound

Minimal noise in non-quantized gravity cites this paper.

Minimal noise in non-quantized gravity Thermodynamics of Spacetime: The Einstein Equation of State

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-05-15T06:49:49.125636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-15T06:49:03.148358Z digest=sha256:75d528873d3e3143d03d7f21438b0fd2e15a25169c91b8bf04c7679794224b09

Observation bf581461-cdba-4733-9124-f590f3e459d5 · inbound

Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model cites this paper.

Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model Thermodynamics of Spacetime: The Einstein Equation of State

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-05-14T21:32:59.180330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-14T21:31:35.412250Z digest=sha256:3365c9a013df0e1f6513813cce838926cc8dd80da4d0827f854cca0e313799da

Observation 6581846c-ac20-4a0b-8213-1bbfcd540f63 · inbound

Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model cites this paper.

Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model Thermodynamics of Spacetime: The Einstein Equation of State

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T17:19:07.254378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T17:19:07.254378Z digest=sha256:65c1889e5e15adccbd9b5537cd93f5754971e9adeda9f8b9e060671e9e0e55db

Observation 8500b13b-968d-4f86-93c1-89324c75a954 · inbound

Energy-momentum and dark energy in $\boldsymbol{SU(\infty)}$-QGR quantum gravity cites this paper.

Energy-momentum and dark energy in $\boldsymbol{SU(\infty)}$-QGR quantum gravity Thermodynamics of Spacetime: The Einstein Equation of State

Reference 50

Resolution
verified exact
arxiv_id, observed 2026-05-11T09:00:57.866487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T16:22:40.885065Z digest=sha256:14fbc182d688d5eeea1b73ba1299c029bbf7452bf0f458bf4ba039fbbb90dfef

Observation d8804fb3-cec3-414f-a139-376a00f55459 · inbound

Emergence of Complex Web Structures cites this paper.

Emergence of Complex Web Structures Thermodynamics of Spacetime: The Einstein Equation of State

Reference 3

Resolution
malformed identifier
arxiv_id, observed 2026-05-11T10:06:02.927647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T15:39:30.591394Z digest=sha256:fe3d0fed424d9b9e074325dfb87e6c425f05fa3a445c8d3fca330813a07f57c1

Observation 1640cfd6-045e-4426-8528-1a7e8ce189cb · inbound

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

Frame invariant diffusive formulation of scalar-tensor gravity Thermodynamics of Spacetime: The Einstein Equation of State

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-10T07:57:15.770613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T07:53:24.413562Z digest=sha256:bb5e399026883f111141fa7dea9938c12a6318f296abba51936a67999e442864

Observation 4e355c3c-ec07-402c-aa79-929633476837 · inbound

Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime cites this paper.

Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime Thermodynamics of Spacetime: The Einstein Equation of State

Reference 130

Resolution
verified exact
arxiv_id, observed 2026-05-10T10:29:25.363969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T04:58:49.490932Z digest=sha256:41a04b615b0ef65044bb4f174b0fbfacd27c29ae9b51b7da9c35fda550c95878

Observation 157941c2-a43c-4477-ba09-9df3a1488ee1 · inbound

Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics cites this paper.

Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics Thermodynamics of Spacetime: The Einstein Equation of State

Reference 112

Resolution
verified exact
arxiv_id, observed 2026-05-09T06:00:37.848809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-08T19:05:55.813829Z digest=sha256:08037431ef9cb0f21eb625ebbd3f763d6b72b6418039fc76e784c35d32ae85b4

Observation 743dddfb-d371-455c-8c8c-f29b1c353ccd · inbound

Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics cites this paper.

Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics Thermodynamics of Spacetime: The Einstein Equation of State

Reference 120

Resolution
verified exact
arxiv_id, observed 2026-05-13T06:52:25.849548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-13T06:47:44.305622Z digest=sha256:6e833ea5934d8f2b44b147d52f2084c18d669da93a107724c22049c404f798c2

Observation 0e95f2ef-6ded-47cf-986a-76358263178c · inbound

Uncertainty Principles and Maximum Entropic Force cites this paper.

Uncertainty Principles and Maximum Entropic Force Thermodynamics of Spacetime: The Einstein Equation of State

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-11T02:50:55.328994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-11T02:50:12.366423Z digest=sha256:15c06f8e795316618de123ad6be193e356f9491dff59c9e1ea843cf5987656a6

Observation 37ec14af-14c4-477d-8129-494189195d96 · inbound

Generalized Mass-to-Horizon Entropy and Horizon Thermodynamics cites this paper.

Generalized Mass-to-Horizon Entropy and Horizon Thermodynamics Thermodynamics of Spacetime: The Einstein Equation of State

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-06-30T22:35:06.492369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:05c1a33806202bb331aed6d3b0d16d66fb8f12e4860be47d02fe08b261699e82

Observation 59471cdc-ab63-40f3-b32d-cec4a826f723 · inbound

Constraints on Kaniadakis Cosmology from Starobinsky Inflation and Primordial Tensor Perturbations cites this paper.

Constraints on Kaniadakis Cosmology from Starobinsky Inflation and Primordial Tensor Perturbations Thermodynamics of Spacetime: The Einstein Equation of State

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-05-21T03:49:31.039050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-21T03:48:36.452330Z digest=sha256:f7fc0d99afb5ecbd42551cc30470da92e8c4ea4fb170f74c0584c1e330e2d586

Observation 4f18a300-7939-4b76-b7d0-2a7eb6e58a4a · inbound

Landauer entropy of spacetime cites this paper.

Landauer entropy of spacetime Thermodynamics of Spacetime: The Einstein Equation of State

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-05-22T05:54:38.798698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-22T05:51:07.143089Z digest=sha256:db0e0d40f4d3dab9e62f4c62cee08afbc9c7a335a590284b8d04429a8f658685

Observation 5aad069e-ced9-4e4b-a0d4-62c4aca5e34a · inbound

Landauer entropy of spacetime cites this paper.

Landauer entropy of spacetime Thermodynamics of Spacetime: The Einstein Equation of State

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-06-30T16:54:59.022437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T16:47:15.381401Z digest=sha256:9cdf550e0055da14fb85302ce14979c26c9ef0c4d7fff287b480c63879aeda1a

Observation bae044b7-baa9-40bd-8eb8-2b3cbad69445 · inbound

Hamilton-Jacobi Approach to Inflationary Scenarios through Extended Entropies: An Observational Perspective cites this paper.

Hamilton-Jacobi Approach to Inflationary Scenarios through Extended Entropies: An Observational Perspective Thermodynamics of Spacetime: The Einstein Equation of State

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-06-30T19:35:01.219921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T19:31:36.312024Z digest=sha256:d5e9b4cf2951abf0d2aa50a18f68acc09b8cd7666c0903bed8653fbf13e64887

Observation 4bea4be4-46b9-487e-b6b5-cd301042dc83 · inbound

Modified Entropy from Action Principle cites this paper.

Modified Entropy from Action Principle Thermodynamics of Spacetime: The Einstein Equation of State

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-06-29T14:33:31.155896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-29T06:37:20.571438Z digest=sha256:a06f7d02728d9dfbffd137d8125f1162e962b3b0de87fe477c9870c5a845c00c

Observation 4dea4294-0038-4174-a7a0-cdcbc0a44204 · inbound

Traversable Wormholes Supported by Entropy-Inspired Effective Matter Sectors cites this paper.

Traversable Wormholes Supported by Entropy-Inspired Effective Matter Sectors Thermodynamics of Spacetime: The Einstein Equation of State

Reference 62

Resolution
metadata mismatch
local_arxiv, observed 2026-07-01T20:16:11.652052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T21:28:00.037340Z digest=sha256:5475fe0c2a8f7841b7f8de8bed45d9419c0a609d4dfb75e7d0382a224b04ea57

Observation ef4ac9fc-86f4-4e92-9696-6ac4a4d5c8ec · inbound

Modular theory and affine representations on the Rindler horizon cites this paper.

Modular theory and affine representations on the Rindler horizon Thermodynamics of Spacetime: The Einstein Equation of State

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-06-28T17:02:24.346532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T16:57:17.245250Z digest=sha256:09f4729f2edc0dfc9f0f99fa0b612ea6b7806b53719138527df7f684ad97cc9f

Observation 59deb21f-70fe-4a31-b9f2-2d4b0c075fb0 · inbound

The Awada-Gibbons-Shaw Algebra in de Sitter Space and SUSY Breaking cites this paper.

The Awada-Gibbons-Shaw Algebra in de Sitter Space and SUSY Breaking Thermodynamics of Spacetime: The Einstein Equation of State

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-06-28T05:51:40.830987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:38413e023d21e4e8e3c1680fc512aa38a2b9898386bd8cf3b3861a8d29aea32c

Observation 6b11ddcd-1247-43d7-880c-5de40e368d9b · 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 Thermodynamics of Spacetime: The Einstein Equation of State

Reference 166

Resolution
verified exact
local_arxiv, observed 2026-07-02T10:36:52.561376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T04:59:43.971930Z digest=sha256:4c9af4606420388141d647dc67250903dd9fb2c046ce5405c27cf08ee2ac3a5e

Observation d71e65d0-9fbb-48ed-aa20-6b624f860e06 · 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 Thermodynamics of Spacetime: The Einstein Equation of State

Reference 166

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=sha256:08f8af7d56e24077b8263059eaa52fc1e4f43ed50423522653e350f0bae5442c

Observation 2925a1c8-1419-4c63-adc7-c3fcc9ab2de1 · inbound

Spacetime from Operator Algebras cites this paper.

Spacetime from Operator Algebras Thermodynamics of Spacetime: The Einstein Equation of State

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-03T07:07:44.749424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-27T12:18:11.543469Z digest=sha256:2a2dfcc4a47d1efd39415f8b38b6cd2a5ec66362227cfcb79211d58eb1bcb49b

Observation f5ef7247-dd2a-40c8-b428-93d7fdc54282 · inbound

Microscopic entropy of de Sitter spacetime and entropic solution to the old cosmological constant problem cites this paper.

Microscopic entropy of de Sitter spacetime and entropic solution to the old cosmological constant problem Thermodynamics of Spacetime: The Einstein Equation of State

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-06-26T15:19:33.379709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-11T11:50:26.030339Z digest=sha256:62a4891534b96a322b008c6f5ef3ed26619dbc96397a7e39b17b9ee49bc7ffbc

Observation 03a3b422-9d33-491e-83db-b0715bb1cda5 · inbound

Microscopic entropy of de Sitter spacetime and entropic solution to the old cosmological constant problem cites this paper.

Microscopic entropy of de Sitter spacetime and entropic solution to the old cosmological constant problem Thermodynamics of Spacetime: The Einstein Equation of State

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-07-02T21:47:27.244502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-07-11T11:50:26.030339Z digest=sha256:81fe626bec205e489d333d4438f05b0008a1fb3c03b6f673f11778fff34ccdab

Observation 827e13ac-d383-4d79-a723-dab697c000bb · inbound

Electrically Charged Distorted Black Holes: Thermodynamics, Particle Dynamics, and Quasinormal Signatures cites this paper.

Electrically Charged Distorted Black Holes: Thermodynamics, Particle Dynamics, and Quasinormal Signatures Thermodynamics of Spacetime: The Einstein Equation of State

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-07-04T15:19:56.919104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T01:41:06.247341Z digest=sha256:d1c058a196723e93342829d646bcdd761f589a1dd70496e1f48d56f0e08cbcc4

Observation c17fad7c-4a49-4a0f-b75d-60a2c04bce19 · inbound

Can Primordial Black Holes Be Seeds for Early Galaxies in Models Satisfying the Covariant Entropy Bound? cites this paper.

Can Primordial Black Holes Be Seeds for Early Galaxies in Models Satisfying the Covariant Entropy Bound? Thermodynamics of Spacetime: The Einstein Equation of State

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-07-03T20:38:54.872220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:2c9114077ea30dada5a28fe35008cf8a6b10d2d851bbe51ae952c338eec85526

Observation 94c98c5c-bcef-4cc2-b65f-a1925abf9aec · inbound

Singularities, Entropy and the Arrow of Time, {\it or} Is CRT a Gauge Symmetry in Quantum Gravity? cites this paper.

Singularities, Entropy and the Arrow of Time, {\it or} Is CRT a Gauge Symmetry in Quantum Gravity? Thermodynamics of Spacetime: The Einstein Equation of State

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-12T04:11:48.028071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T04:11:48.028071Z digest=sha256:29d580697ddb3634ea3f8d556778299c6c806e8edc32414c35d666ef7611e88a

Observation da69e0ad-ee58-480f-aa46-18ebc2256838 · inbound

ACT-DR6 consistent inflation in generalised entropic cosmology and $f(Q)$ gravity cites this paper.

ACT-DR6 consistent inflation in generalised entropic cosmology and $f(Q)$ gravity Thermodynamics of Spacetime: The Einstein Equation of State

Reference 128

Resolution
unresolved
no resolver link, observed 2026-07-11T23:48:27.312970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T23:48:27.312970Z digest=sha256:2c839fb2318bc3ff7c42a7c553f41671042a5e50ebfc13911e608af3eef9ef0f

Observation 69514f0d-6c85-4583-b88b-201e8cbdb3b9 · inbound

Timelike Entanglement First Law and Linearized Field Equations in Higher Curvature Gravity cites this paper.

Timelike Entanglement First Law and Linearized Field Equations in Higher Curvature Gravity Thermodynamics of Spacetime: The Einstein Equation of State

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-02T06:25:52.729550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T06:25:52.729550Z digest=sha256:11d9d77501edce518d1c5fbf08314f650198cf6304a238772f1e3dc3431e27a0

Observation 131dc89f-9924-4ca9-a1ef-d9156df85dc4 · inbound

Dynamical Entropy Is a Noether Charge cites this paper.

Dynamical Entropy Is a Noether Charge Thermodynamics of Spacetime: The Einstein Equation of State

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-02T02:46:33.950273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:46:33.950273Z digest=sha256:ee49f0968e9bbf1f142ab1f2a53f81f7697947ac879ff49a7f82c6651dd48857

Observation 0560da70-b185-4299-a0ea-e0b789607501 · inbound

Cosmological horizon thermodynamics in Gauss-Bonnet quasi-dilaton Massive Gravity cites this paper.

Cosmological horizon thermodynamics in Gauss-Bonnet quasi-dilaton Massive Gravity Thermodynamics of Spacetime: The Einstein Equation of State

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T10:53:32.505375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:53:32.505375Z digest=sha256:e77d121dba68366195ab11fc34599c8bee2b132e131e35ab4d0434934d37bcf7

Observation 967affe8-39f1-4625-afb5-bb00d3442780 · inbound

Ghost Dark Energy in the Modified Kaniadakis Cosmology cites this paper.

Ghost Dark Energy in the Modified Kaniadakis Cosmology Thermodynamics of Spacetime: The Einstein Equation of State

Reference 20

Resolution
unresolved
no resolver link, observed 2026-07-30T18:50:16.083793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T18:50:16.083793Z digest=sha256:3bbf4a55f47f794f6dcb65028d0847258dd6acda003f20745b93cc71814f9527

Observation 13a83aab-c807-48f6-8a08-dfa1c2e23e59 · inbound

The extremal Reissner-Nordstr\"om throat from non extremal near horizon expansions cites this paper.

The extremal Reissner-Nordstr\"om throat from non extremal near horizon expansions Thermodynamics of Spacetime: The Einstein Equation of State

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-30T13:28:04.145367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T13:28:04.145367Z digest=sha256:d85d16e6ec66b16d70dcd8b60c4d9fe4cdd030a9985ecdcda279f56372bb4a9f

Observation 35b01d68-ae2b-47c4-b393-e51b446b8a45 · inbound

Entropy dynamics in gravitational collapse: From Minkowski breaking to de Sitter thermodynamics cites this paper.

Entropy dynamics in gravitational collapse: From Minkowski breaking to de Sitter thermodynamics Thermodynamics of Spacetime: The Einstein Equation of State

Reference 22

Resolution
unresolved
no resolver link, observed 2026-07-31T17:32:20.554257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T17:32:20.554257Z digest=sha256:2ba9412ccf08057167b0e1446b4c80ab13bdbd7cf912f03307476e99c7bd2141

Observation 8088a8a4-5210-4886-a9b4-74226404468f · inbound

Early- and late-time constraints on Wald-Gauss-Bonnet topological dark energy and implications for the $H_0$ and $S_8$ tensions cites this paper.

Early- and late-time constraints on Wald-Gauss-Bonnet topological dark energy and implications for the $H_0$ and $S_8$ tensions Thermodynamics of Spacetime: The Einstein Equation of State

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-01T02:46:23.012268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:46:23.012268Z digest=sha256:29df34a32b24174e40a1cd578cf08b0b54457e09d26fe3851ae3092db6f064d8

Observation 58a09fde-f9f4-4819-ac82-c7fa549ad140 · inbound

Entropy-geometry correspondence as effective nonlocal gravity cites this paper.

Entropy-geometry correspondence as effective nonlocal gravity Thermodynamics of Spacetime: The Einstein Equation of State

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-10T15:50:31.778276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:50:31.778276Z digest=sha256:6a12a601baf332d32f1def6f43664a4034e7746d6ca7a510ecf0121ef87ea86c

Observation 319ff253-1349-4608-b807-0cffc4b8bfb5 · inbound

Parameter-free prediction of the asymptotic acceleration scale confirmed by weak lensing cites this paper.

Parameter-free prediction of the asymptotic acceleration scale confirmed by weak lensing Thermodynamics of Spacetime: The Einstein Equation of State

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-10T14:51:04.325245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T14:51:04.325245Z digest=sha256:d32d8e8e276facd24275c53dd1ff423f8f35d9d816e35b2b4464eadf3de2dba4

Observation 3bbb2720-a922-4b71-af49-c98bf11d44c4 · inbound

Apparent horizon thermodynamics in an exponential $f(Q)$ gravity model cites this paper.

Apparent horizon thermodynamics in an exponential $f(Q)$ gravity model Thermodynamics of Spacetime: The Einstein Equation of State

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-12T00:20:22.548280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:20:22.548280Z digest=sha256:6c700d67f3273f45d3b6c47029760f463bc9fed9e755acae11476ae010b3cd40