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Paper Citation Record · LEDGER

Gravitational collapse in the expanding Universe

As of 11 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2501.06631.

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

pith.paper-citation-record.v1
2501.06631 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:02:07.608637Z

measured 11 of 11 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 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

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1fc569a3-5ce8-40ae-bbf1-e83f4a7152eb · outbound

This paper cites The dynamics of gravitational collapse of a dustlike sphere in the pre sence of a cosmological constant is determined by equation (8).

Gravitational collapse in the expanding Universe The dynamics of gravitational collapse of a dustlike sphere in the pre sence of a cosmological constant is determined by equation (8)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:02:07.995992Z

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=2026-08-10T21:02:07.518596Z digest=sha256:db7e148262b4466ba33defc850108dccbdb8dd41c42296772e41eddba208106b

Observation aedda553-07b1-4c4a-aad1-1240c8e01464 · outbound

This paper cites (18) The entire sphere will collapse, δb < 0, if 2Λ b0/3 < r g/b2 0, which gives b0 ≤ ( 3rg 2Λ ) 1/ 3.

Gravitational collapse in the expanding Universe (18) The entire sphere will collapse, δb < 0, if 2Λ b0/3 < r g/b2 0, which gives b0 ≤ ( 3rg 2Λ ) 1/ 3

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:02:07.971618Z

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=2026-08-10T21:02:07.527603Z digest=sha256:853009a4821dfa096ff707891a900f1d95a9e0011bd5274f0d2bfcbf77fc60ca

Observation ffe14022-6747-420c-a29f-d77077c95e40 · outbound

This paper cites Lemaˆ ıtre, Ann.

Gravitational collapse in the expanding Universe Lemaˆ ıtre, Ann

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:02:07.947393Z

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=2026-08-10T21:02:07.537085Z digest=sha256:cd6d823a50922d1bfbd5f597003a8dd6d38ca21a0c91132122f9ba8d25c37974

Observation a20327f2-6385-43d2-8882-c7639abc1129 · outbound

This paper cites an unresolved cited work.

Gravitational collapse in the expanding Universe Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:02:07.918512Z

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=2026-08-10T21:02:07.544343Z digest=sha256:23df585f122b09f4f249cd7f5edbabb3844063a8601070e08e5eb364274db7fa

Observation a1a8dc98-16a0-4810-8195-8b307c696a0f · outbound

This paper cites Pop/suppress lawski, Zh.

Gravitational collapse in the expanding Universe Pop/suppress lawski, Zh

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:02:07.885227Z

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=2026-08-10T21:02:07.550867Z digest=sha256:a83d5685c19a17b4984f2fcae5a5dbf31e46d64c8850ed3038b40695ea3fad62

Observation 47bd30c4-5f6c-46c1-ad36-b1280d101d48 · outbound

This paper cites an unresolved cited work.

Gravitational collapse in the expanding Universe Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:02:07.857153Z

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=2026-08-10T21:02:07.561792Z digest=sha256:374156d04b741716ee6c64952a1bd69e3c9c3a06f728090e824bfe4b94533ce6

Observation 610802b9-c28b-47a4-b6e7-3a496b29b218 · outbound

This paper cites an unresolved cited work.

Gravitational collapse in the expanding Universe Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:02:07.829771Z

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=2026-08-10T21:02:07.569041Z digest=sha256:e049ecff7175424927914fe3ef3dc2d5ac1aabcb20d8b69ef128e6704be5e06d

Observation 13565c25-e4b8-4e41-8892-4651f021c824 · outbound

This paper cites Cartan, C.

Gravitational collapse in the expanding Universe Cartan, C

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:02:07.790544Z

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=2026-08-10T21:02:07.579711Z digest=sha256:2518d7e945a43f35c3e1b92482fa9f50b3bc4d2342fb85aecec151b5dbf0b301

Observation 10e0aa5d-2d2e-4b5f-88d7-9aafde89195d · outbound

This paper cites Classical Physics: Spacetime and Fields.

Gravitational collapse in the expanding Universe Classical Physics: Spacetime and Fields

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T21:02:07.588545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:02:07.588545Z digest=sha256:8b8f1e0d23b4c6172bd5d648ac7e98f6f060159752d16d1458fbb5dcd33c5877

Observation 33a142cb-e21b-414a-91ae-d579174a11de · outbound

This paper cites Kopczy´ nski, Phys.

Gravitational collapse in the expanding Universe Kopczy´ nski, Phys

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:02:07.757751Z

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=2026-08-10T21:02:07.598232Z digest=sha256:733fc32cfb78bd9571b88e662056e5a9ca61ec544061066b3687b347412b13e6

Observation ec6fad5c-7b9f-432c-bc83-e2a1edb9bfc5 · outbound

This paper cites an unresolved cited work.

Gravitational collapse in the expanding Universe Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:02:07.731286Z

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=2026-08-10T21:02:07.608637Z digest=sha256:3f19411518e805f2a6955789a5fa60f0208104c1c39b69a99f5a3d9432f035c6

Pith citing papers

No inbound Pith citation observations are available.