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Paper Citation Record · LEDGER

The Study on Modified Theories of General Relativity: A Differential Geometric Approach

As of 20 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2507.04031.

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

pith.paper-citation-record.v1
2507.04031 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:04:49.468961Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved4
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 25abd99f-52c2-4603-bf51-fbf8f4647f04 · outbound

This paper cites To address this, introducing a cosmological constant Λinto Einstein’s equations emerges as the most straightforward method to induce accelerated cosmological expansion.

The Study on Modified Theories of General Relativity: A Differential Geometric Approach To address this, introducing a cosmological constant Λinto Einstein’s equations emerges as the most straightforward method to induce accelerated cosmological expansion

Reference 1

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T20:04:50.107956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a28cf79b-189c-4df8-86a3-fa64505c784d · outbound

This paper cites an unresolved cited work.

The Study on Modified Theories of General Relativity: A Differential Geometric Approach Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T20:04:49.423186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:49.423186Z digest=sha256:63b97ab3df04027afefa641ed8c984a6be903b8137bcb5bd9933bfcd7edf550c

Observation 048258ff-b323-40bd-b129-4a3f6dbfc156 · outbound

This paper cites reconstruction.

The Study on Modified Theories of General Relativity: A Differential Geometric Approach reconstruction

Reference 9

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T20:04:49.815860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T20:04:49.468961Z digest=sha256:b5473ab4188f50cb080850de52c8436ed3cb09dad13d7ff1160fe4be9f1d9156

Observation 4c72b802-d814-4c86-8255-e784aa425d89 · outbound

This paper cites Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations.

The Study on Modified Theories of General Relativity: A Differential Geometric Approach Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations

Reference 269

Resolution
unresolved
no resolver link, observed 2026-08-06T20:04:48.982134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:48.982134Z digest=sha256:7ee2eb8b34ef737b85cdf88d25b5a172babd43ec3fbfc3bc985e507f1cf37c9d

Observation 33b958c2-d6aa-4b2d-8065-623e1f455ecf · outbound

This paper cites Measurement of BAO correlations at $z=2.3$ with SDSS DR12 \lya-Forests.

The Study on Modified Theories of General Relativity: A Differential Geometric Approach Measurement of BAO correlations at $z=2.3$ with SDSS DR12 \lya-Forests

Reference 270

Resolution
unresolved
no resolver link, observed 2026-08-06T20:04:49.027971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:49.027971Z digest=sha256:3708c3446970d9baac71b451586db807a2c6d95be28ba3c5d3e778fb51fda060

Observation 4327135a-bf84-49b4-b175-509667166d56 · outbound

This paper cites The clustering of galaxies in the completed SDSS-III Baryon Os- cillation Spectroscopic Survey: tomographic BAO analysis of DR12 combined sample in configuration space,.

The Study on Modified Theories of General Relativity: A Differential Geometric Approach The clustering of galaxies in the completed SDSS-III Baryon Os- cillation Spectroscopic Survey: tomographic BAO analysis of DR12 combined sample in configuration space,

Reference 271

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:50.478797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T20:04:49.083074Z digest=sha256:4764b2496b0e87900923fcafcb143024502ccdf66ca70bcb1a77b2132f4ff165

Observation 3838b98b-cfcb-4602-8c71-bbc56b9804f7 · outbound

This paper cites The clustering of the SDSS DR7 main Galaxy sample – I. A 4 per cent distance measure at z = 0.15,.

The Study on Modified Theories of General Relativity: A Differential Geometric Approach The clustering of the SDSS DR7 main Galaxy sample – I. A 4 per cent distance measure at z = 0.15,

Reference 272

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:50.317440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T20:04:49.160650Z digest=sha256:6ee7a4b50c2ebc052b559a1b5747e3d4eab8f8185477cb1b4de81b056a2ea3ba

Observation 52848900-cf3e-42a3-ae99-4bca08496a4d · outbound

This paper cites Intrinsic spectra and energetics of BeppoSAX Gamma-Ray Bursts with known redshifts.

The Study on Modified Theories of General Relativity: A Differential Geometric Approach Intrinsic spectra and energetics of BeppoSAX Gamma-Ray Bursts with known redshifts

Reference 273

Resolution
malformed identifier
no resolver link, observed 2026-08-06T20:04:49.278346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:49.278346Z digest=sha256:982acdcabf540bafb339b5fea889a1b15746d43603eb9fb4d5b934e811aa8fb7

Observation 2970777b-5f97-4c4c-a662-2ed9f37f1dbb · outbound

This paper cites The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15.

The Study on Modified Theories of General Relativity: A Differential Geometric Approach The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15

Reference 2015

Resolution
unresolved
no resolver link, observed 2026-08-06T20:04:49.221012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:49.221012Z digest=sha256:6254b0d8b810c0604ed5521dc5d03388e8cf484841245b2244d692111b15c970

Pith citing papers

No inbound Pith citation observations are available.