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Paper Citation Record · LEDGER

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields

As of 15 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2502.02375.

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

pith.paper-citation-record.v1
2502.02375 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T12:30:54.985984Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

31 of 31 outbound references displayed

  • verified exact6
  • verified fuzzy7
  • unresolved18
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4138a63d-c253-492c-97f6-9b155a9052ff · outbound

This paper cites an unresolved cited work.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 2fe4d222-c1d8-4a64-b8ca-0419a0810591 · outbound

This paper cites Chandrasekhar, The Mathematical Theory of Black Holes , (Oxford University Press, New York, 1983).

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Chandrasekhar, The Mathematical Theory of Black Holes , (Oxford University Press, New York, 1983)

Reference 2

Resolution
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Unavailable: canonical work link unavailable.

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Observation 0fafeb6f-ad74-4e08-b36a-d4c72f54565e · outbound

This paper cites an unresolved cited work.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Unresolved cited work

Reference 3

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ad34881a-85a2-4d34-9ad8-723765b84f71 · outbound

This paper cites an unresolved cited work.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-09T12:30:55.289479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 44e2b625-6210-4409-8f04-f81171db6422 · outbound

This paper cites Lu and H.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Lu and H

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6a9d735e-8c45-4502-9784-c0e253b6dab0 · outbound

This paper cites Extremal black holes have external light rings.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Extremal black holes have external light rings

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-09T12:30:55.141501Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 0e9ac333-3047-4301-b887-822c9c531000 · outbound

This paper cites The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-09T12:30:55.128875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ff708a4f-0ac2-4bce-af14-988bad1defcf · outbound

This paper cites Upper bound on the radii of black-hole photonspheres.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Upper bound on the radii of black-hole photonspheres

Reference 8

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 30c37924-2592-4bbf-82c6-fc2db220cd0b · outbound

This paper cites an unresolved cited work.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Unresolved cited work

Reference 9

Resolution
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raw_fallback, observed 2026-08-09T12:30:55.271863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 290acdee-d84e-4c30-82ae-4f794430dc7f · outbound

This paper cites Self-gravitating field configurations: The role of the energy-momentum trace.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Self-gravitating field configurations: The role of the energy-momentum trace

Reference 10

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation dec41da7-3237-458b-a36d-57e16cac9477 · outbound

This paper cites Keir, Class.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Keir, Class

Reference 11

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 43d07dc6-afac-4b01-a443-aa5bdbe3e510 · outbound

This paper cites Maggio, P.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Maggio, P

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ae23d53e-f946-43f6-a7c7-5412d2312ea8 · outbound

This paper cites Onset of superradiant instabilities in rotating spacetimes of exotic compact objects.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Onset of superradiant instabilities in rotating spacetimes of exotic compact objects

Reference 13

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation e4aa53ab-a036-4d1e-8f1b-e49d0392b7fc · outbound

This paper cites Light ring stability in ultra-compact objects.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Light ring stability in ultra-compact objects

Reference 14

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6a434365-9932-44f9-9852-93acdea9fc02 · outbound

This paper cites On the number of light rings in curved spacetimes of ultra-compact objects.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields On the number of light rings in curved spacetimes of ultra-compact objects

Reference 15

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 5c49fe72-f498-4248-9cfa-43b1e21b9ec9 · outbound

This paper cites Novotn´ y, J.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Novotn´ y, J

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9efd6b34-2d73-4ed6-9936-ee9b548fccb0 · outbound

This paper cites Lower bound on the compactness of isotropic ultra-compact objects.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Lower bound on the compactness of isotropic ultra-compact objects

Reference 17

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation cdffeb36-2654-4a0c-a996-ad4bd6a22161 · outbound

This paper cites an unresolved cited work.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Unresolved cited work

Reference 18

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5ac44528-a900-469b-809b-e92b45ed9802 · outbound

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A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Unresolved cited work

Reference 19

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a291bb2c-7e58-434a-8cc6-c7dae6711b93 · outbound

This paper cites Bondi, Mon.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Bondi, Mon

Reference 20

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5e9583af-9282-4e5c-bb85-3cb59aac8912 · outbound

This paper cites an unresolved cited work.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Unresolved cited work

Reference 21

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9bfaa2cb-f0bb-40d0-8acc-a77952b08f85 · outbound

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A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Unresolved cited work

Reference 22

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d28ee12a-78c6-4a81-a36c-4a016216629a · outbound

This paper cites an unresolved cited work.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c396787c-0079-4b15-ae9d-c27980d9ddcc · outbound

This paper cites Kumar and P.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Kumar and P

Reference 24

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5a5490f6-38b2-46c2-ad27-cc0660b9e831 · outbound

This paper cites (27) below], is valid for bot h possible signs of the energy-momentum trace T that characterizes the self-gravitating matter fields.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields (27) below], is valid for bot h possible signs of the energy-momentum trace T that characterizes the self-gravitating matter fields

Reference 25

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 73762066-b250-4b9f-a866-d50b4925ee1c · outbound

This paper cites Eluding the No-Hair Conjecture for Black Holes.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Eluding the No-Hair Conjecture for Black Holes

Reference 26

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 590afe27-caef-4ba7-8363-4681cf3eedf5 · outbound

This paper cites The fastest way to circle a black hole.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields The fastest way to circle a black hole

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-09T12:30:54.971515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4fd46fd1-0a29-43d9-be97-e46f4cd73d6b · outbound

This paper cites Einstein-Yang-Mills Solitons: The Role of Gravity.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Einstein-Yang-Mills Solitons: The Role of Gravity

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-09T12:30:54.975043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4b321f66-6c90-411b-bcb5-d6cb6f908d2a · outbound

This paper cites It is worth emphasizing the fact that our theorem for the co mpactness of ultra-compact objects with monotonically decreasing matt er fields does not use the TOV equation.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields It is worth emphasizing the fact that our theorem for the co mpactness of ultra-compact objects with monotonically decreasing matt er fields does not use the TOV equation

Reference 29

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verified fuzzy
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation eca4c016-040c-4bf9-8f04-72f892951362 · outbound

This paper cites Hairy Black Holes and Null Circular Geodesics.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Hairy Black Holes and Null Circular Geodesics

Reference 30

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unresolved
no resolver link, observed 2026-08-09T12:30:54.982648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 2781a354-7481-483b-9bcd-5ca7cfb7bfa2 · outbound

This paper cites an unresolved cited work.

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields Unresolved cited work

Reference 31

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unresolved
raw_fallback, observed 2026-08-09T12:30:55.150930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

No inbound Pith citation observations are available.