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Paper Citation Record · LEDGER

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach

As of 19 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 6 inbound Pith citation observations for arXiv:2501.00361.

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

pith.paper-citation-record.v1
2501.00361 v6

Coverage vector

measured 62 of 62 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:05:43.343372Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:38:28.978649Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T06:12:38.636178Z

Reference resolution

62 of 62 outbound references displayed

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External citation measurements

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Outbound references

Observation 7cb3fc1b-e3e1-4ce6-a826-9530a56164d6 · outbound

This paper cites (3.71)–(3.73), the images ofRc fs(b, α, θ0,1) in Figs.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach (3.71)–(3.73), the images ofRc fs(b, α, θ0,1) in Figs

Reference 1

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Observation 3f1274ea-53c0-4e46-a4b1-5a8b915df280 · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 2

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Observation a06eba6f-a003-4a8f-a9cd-bfa99c1af7f0 · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 3

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Observation bb2c5b5c-cdee-4041-82a2-18862de198fa · outbound

This paper cites Highland of Innovation Talent.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Highland of Innovation Talent

Reference 4

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Observation 59e32a58-eae4-4149-b290-4375652235ee · outbound

This paper cites As in references, the entire geodesic path is in a plane, which implies that we can rotate coordinates to setθ(λ) =π/2.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach As in references, the entire geodesic path is in a plane, which implies that we can rotate coordinates to setθ(λ) =π/2

Reference 5

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Source-reported events for the cited work

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Observation b769fa8f-dd95-41c6-819a-a3749b19f04b · outbound

This paper cites Because of dφ dr =− 1 m X 2 dφ dX ̸= 0 for r m ∈[2,+∞),(A21) one end of the geodesic is at infinity, and the other is behind the horizon of the BH.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Because of dφ dr =− 1 m X 2 dφ dX ̸= 0 for r m ∈[2,+∞),(A21) one end of the geodesic is at infinity, and the other is behind the horizon of the BH

Reference 6

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Source-reported events for the cited work

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Observation f316ca2f-7750-44ed-93fc-b68f1e31d217 · outbound

This paper cites 2 3 arcsin r 1− b2 cri b2 !# ,(A22) X2 = 1 6 − 1 3 cos.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach 2 3 arcsin r 1− b2 cri b2 !# ,(A22) X2 = 1 6 − 1 3 cos

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b0f61cf2-274b-4d49-89da-0a7f02711038 · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 8

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Source-reported events for the cited work

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Observation c4ec0611-10ac-40a1-8c1b-26ea3418f5f0 · outbound

This paper cites X1 + (X2 −X 1)sn2 ±(φ−φ 0) r X3 −X 1 2 + F ϑlarI m r0 , klar !#−1 ,(A54) r=m.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach X1 + (X2 −X 1)sn2 ±(φ−φ 0) r X3 −X 1 2 + F ϑlarI m r0 , klar !#−1 ,(A54) r=m

Reference 9

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Source-reported events for the cited work

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Observation f7446896-2007-43a1-927d-8627d687b100 · outbound

This paper cites Akiyamaet al.,First M87 Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First M87 Event Horizon Telescope Results

Reference 10

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Observation 21ec9f91-0d27-4c61-a92a-da8d7167a410 · outbound

This paper cites Akiyamaet al.,First M87 Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First M87 Event Horizon Telescope Results

Reference 11

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Source-reported events for the cited work

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Observation f0367222-4ed9-4926-af63-9bcc7f88426c · outbound

This paper cites Akiyamaet al.,First M87 Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First M87 Event Horizon Telescope Results

Reference 12

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Source-reported events for the cited work

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Observation 9be64ca4-0b23-41b4-aed2-70553b9c486e · outbound

This paper cites Akiyamaet al.,First M87 Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First M87 Event Horizon Telescope Results

Reference 13

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Source-reported events for the cited work

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Observation c83ac81b-11af-4090-80b2-cf2b833c1bd8 · outbound

This paper cites Akiyamaet al.,First M87 Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First M87 Event Horizon Telescope Results

Reference 14

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Source-reported events for the cited work

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Observation fea04ffd-aef7-4932-a205-a8a368700339 · outbound

This paper cites Akiyamaet al.,First M87 Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First M87 Event Horizon Telescope Results

Reference 15

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Source-reported events for the cited work

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Observation 46287d31-7f2c-49a2-9b7c-bc01c46558ef · outbound

This paper cites Akiyamaet al.,First M87 Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First M87 Event Horizon Telescope Results

Reference 16

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Source-reported events for the cited work

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Observation ceca7443-c5f9-4fb5-9dc2-2aaeabf12dcc · outbound

This paper cites Akiyamaet al.,First M87 Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First M87 Event Horizon Telescope Results

Reference 17

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Source-reported events for the cited work

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Observation b3fed8b6-8f8f-44bd-815f-ff72aaa42826 · outbound

This paper cites Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results

Reference 18

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Source-reported events for the cited work

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Observation 1ee71972-0a84-4a95-ac3f-45f67eaad390 · outbound

This paper cites Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results

Reference 19

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Source-reported events for the cited work

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Observation 11ed6d25-b61e-4399-a427-4e579d27eef3 · outbound

This paper cites Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results

Reference 20

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Source-reported events for the cited work

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Observation 2568a542-38a0-461d-acae-9e34fc3e9160 · outbound

This paper cites Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results

Reference 21

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Source-reported events for the cited work

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Observation 83e4a5a3-24eb-4f6f-8123-ad53a6e89119 · outbound

This paper cites Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results

Reference 22

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Source-reported events for the cited work

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Observation 27a3fba9-3d6a-495c-8fd0-771e000eed12 · outbound

This paper cites Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Akiyamaet al.,First Sagittarius A* Event Horizon Telescope Results

Reference 23

Resolution
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Source-reported events for the cited work

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Observation 29397d94-a6bd-4633-9e6b-89cb48c31ac4 · outbound

This paper cites Zeng, H.-Q.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Zeng, H.-Q

Reference 24

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Observation 6c979760-a0d6-44fd-b746-6b8859c159bb · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 25

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3657ee26-deca-4adf-bf5d-7d5a83b1b688 · outbound

This paper cites Guo, K.-J.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Guo, K.-J

Reference 26

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation bb43b589-15e4-482c-862c-88e46c62736d · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 27

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation e6e90ed4-47d4-4995-a4f3-9126abb2225b · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.716641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 4321d222-56e1-40b0-9239-0265022fbbeb · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.706207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6ef1d9e4-c40f-4c2e-93b7-32cb935c6182 · outbound

This paper cites Chandrasekhar,The Mathematical Theory of Black Holes(Oxford University Press, Oxford, 1992).

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Chandrasekhar,The Mathematical Theory of Black Holes(Oxford University Press, Oxford, 1992)

Reference 30

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation d33fb60a-41f8-47b4-8666-ecc48da26511 · outbound

This paper cites Cadez and U.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Cadez and U

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.686063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 73aed53f-1673-47f7-9665-ad45ebc13276 · outbound

This paper cites Hackmann and C.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Hackmann and C

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.676886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.238729Z digest=sha256:7003b6639202e8e8e187bb21218b4746aa78bdaa4eb722a1d429f136f7a01212

Observation 3cdb26a8-b250-4383-a0ce-68d6e40127bb · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.667580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.242338Z digest=sha256:f9ad973fc4618c668cfd33250425ae18f1ea9074ace8063f3c85f004b1dd0a1e

Observation fb08a4b1-50ef-47d4-858c-488e257978b9 · outbound

This paper cites Mu˜ noz,Orbits of massless particles in the Schwarzschild metric: Exact solutions, Am.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Mu˜ noz,Orbits of massless particles in the Schwarzschild metric: Exact solutions, Am

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.658409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.245828Z digest=sha256:06b34b78064efee61dab6e83c6100d555601e468c7ce72b3eb1992dac8d5e714

Observation 6e1af809-ab53-4e59-a4e2-997c311d31c3 · outbound

This paper cites Saurabh and K.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Saurabh and K

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.649208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.249328Z digest=sha256:9ddf28c27d695fecfa2eb447f38b1fb69e2ff010371a84a1679cc95ef9504c01

Observation 7e039ce3-5cde-4a86-b8fd-36ee6621c1d3 · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.639452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.252749Z digest=sha256:d310bb586aea230960e4674bec6d2f1afce972f8a087ce4d22383f3845abe282

Observation 0e14a16c-1247-4519-b3ea-2f645806431e · outbound

This paper cites Jusufi and Saurabh,Black hole shadows in Verlinde’s emergent gravity, Mon.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Jusufi and Saurabh,Black hole shadows in Verlinde’s emergent gravity, Mon

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.630188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.256583Z digest=sha256:17077b46f397835d72cf1f75dca5e717e7a47764e900ff69ced3e315aabdd9cc

Observation 2cd1b99c-3d92-4eed-8f4e-135707342863 · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.619849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.260032Z digest=sha256:528d5f7bd462ef513ecfd765efd92f460cf8618b322cf5870295fdc8ef54e0a3

Observation bc62815c-25d7-46f9-9e3a-9c96c8a08e03 · outbound

This paper cites Narayan, M.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Narayan, M

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.610785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.263397Z digest=sha256:6b7d62b55d4bf56ad8b589bf61b36ac374c25ae346ee6fc20a8c62fa30e94390

Observation c232a8a5-a043-470c-a862-a8f53cfae759 · outbound

This paper cites Jaroszynski and A.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Jaroszynski and A

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.601540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.266656Z digest=sha256:51d12806fcce15dd6a50566360b18ef3ebf18fcd0714b82028ae62cf0f3da3fb

Observation 2865874b-fcd5-4e02-8413-14fc72f46392 · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.591935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.270031Z digest=sha256:46d0305a66315f9f76e4253648b8b3428d08e264298cca9a77a3e32eda955d8c

Observation b4ce80cf-b4ad-4b27-8675-c33b17008a9e · outbound

This paper cites Younsi, K.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Younsi, K

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.581725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.273356Z digest=sha256:7b4bd96d5f345b45b79d30ea5c11056e6358fda49e89ba24de0889da9602cdae

Observation 30776537-8846-44ab-89f5-cb90322dc7c0 · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.571822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.276801Z digest=sha256:b5140a4e46988478e2d76ce47a8753cbf0d0300f3d320180075a08c337cc5da8

Observation b5768a04-8ab5-448c-9456-c731b1a1d06e · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.561721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.280027Z digest=sha256:6dac92dd4f391a0df6208a66e94a88f32412716f61c4353ab9986e5b3b242510

Observation 2fa1235a-8fa3-4afe-adaa-c26219c54ec1 · outbound

This paper cites Luminet,Image of a spherical black hole with thin accretion disk, Astron.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Luminet,Image of a spherical black hole with thin accretion disk, Astron

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.551836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.283502Z digest=sha256:d8d85258b6dbc2649e2bb76618e282b1fcfd12b920b786ca514c164e6dd3b90b

Observation 60ce7935-2694-4b7b-9d05-0404f1ae0095 · outbound

This paper cites Gyulchev, P.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Gyulchev, P

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.542539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.286747Z digest=sha256:f31741476325e927db1ed14417f7f1d54fd5e3f978683ceee4553c609ac6fac8

Observation 51bcfa99-1543-400d-92bf-332a2ade5fb4 · outbound

This paper cites Gyulchev, P.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Gyulchev, P

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.532920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.290258Z digest=sha256:38b9810074133f31d38acfe6e99609b79ab4e4eacc4a7d606ed5b1039c7b73b6

Observation 9413e534-32f2-4d77-98fc-9ca6a73c4641 · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.523629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.293843Z digest=sha256:716986d2f106c4e3409c647d0231eabdcd4baab14c53473014880c42237c343e

Observation 3ec3145c-e282-4c29-9293-caf3fe2785f7 · outbound

This paper cites Rahaman, T.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Rahaman, T

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.514087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.297582Z digest=sha256:919c98d65d3e3d8c44b789e1e22f9467d357326c23a1dc63ef7dba34e36d78f7

Observation eae43abb-0b1a-43d2-a2d2-b3999c20015f · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.503917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.301155Z digest=sha256:e4e6e8c4157f75a7884ac5d04aa2d02eef143310d76c1923000f6f1a9f1127ee

Observation 6c132ec4-1104-4d41-be1f-8c52a0f4f36d · outbound

This paper cites Guo, Y.-X.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Guo, Y.-X

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.493799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.304373Z digest=sha256:6bc5bbb14dbad1b87155b47f40a5819c047283741c6d866aabc1b6dd03394079

Observation a5e88a33-49f3-472a-a2e8-2a5e161ab9f8 · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.483790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.308243Z digest=sha256:d8abf443563e7d5894e6883f9b1fe94494030b052c876a681fa3f7c7d2c4f673

Observation 252610f7-6bd3-453b-afb3-421450e27564 · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.474179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.311758Z digest=sha256:1a83384dc2c380382841d14a5c3587c33bc936a9c0afcd0f0cc79a395c1d98e5

Observation 4b0d4ded-941f-4422-ab07-af5877813f2f · outbound

This paper cites Tian and Z.-H.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Tian and Z.-H

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.464496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.315002Z digest=sha256:e0c704eb33f86167670f57df8b9cc9a9a493c54a880afb645064221e0ceb1774

Observation 0b0eaa65-c71b-47f4-8ab0-721fd089d567 · outbound

This paper cites Gyulchev, J.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Gyulchev, J

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.454316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.318614Z digest=sha256:3b234715049fd43f7e1417b1099ea3f16d1745761a4c479b59c7cec1307a560a

Observation 161aba99-5512-4505-9423-4b4182cdd12a · outbound

This paper cites M¨ uller,Analytic observation of a star orbiting a Schwarzschild black hole, Gen.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach M¨ uller,Analytic observation of a star orbiting a Schwarzschild black hole, Gen

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.443824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.322411Z digest=sha256:8f81a3ec9c281f63f63497898a2018f0485af756a2739cb16b9288a960bcd844

Observation fbc66a6f-4403-4918-90d3-cedd8140a5e9 · outbound

This paper cites Bambi and E.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Bambi and E

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.432985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.325894Z digest=sha256:e495fcefb79a014e7e7bea6ef4f6110eee14360f04ef5cfdbd00dc0ecc7f9578

Observation 5917b3d0-22aa-4249-af6f-84a5691bedf3 · outbound

This paper cites Bambi,A code to compute the emission of thin accretion disks in non-Kerr space-times and test the nature of black hole candidates, Astrophys.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Bambi,A code to compute the emission of thin accretion disks in non-Kerr space-times and test the nature of black hole candidates, Astrophys

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.421265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.329407Z digest=sha256:aaca578a282ca5729307c9986160e71f2d6b4ca11eb0a927bc6029264f200083

Observation 61cad9e1-7dbb-4c01-807b-b4399629c165 · outbound

This paper cites Huang,Lectures on General Relativity(Science Press, Beijing, 2023) (in Chinese).

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Huang,Lectures on General Relativity(Science Press, Beijing, 2023) (in Chinese)

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.408941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.332811Z digest=sha256:5a43ca904a28d97c3ed9900cce3541788190ad7882f24f599dbaf45a4fc45c1f

Observation a5a6dc5f-5320-43df-9f80-178384104eea · outbound

This paper cites Abramowitz and I.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Abramowitz and I

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:05:43.396607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.336219Z digest=sha256:02055a508a2a216a88b057783cd8c044a649e2be49837f3e96bd390d4cc517ee

Observation b8f299b7-5474-42b3-8337-8f4808563c3d · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.386069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.339706Z digest=sha256:c61f4f8d6e6d04f882f5722066e89d1180de67944c1c20a8073db319e6380405

Observation 0f6886bb-179d-47bf-a336-39a05937d77c · outbound

This paper cites an unresolved cited work.

Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:05:43.375446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:05:43.343372Z digest=sha256:dfa9d16fa5d1a1e4d7fb57b56fb6107d0b68e7c2026c98cab605d2ec6559a3aa

Pith citing papers

Observation de36af32-57c6-4ec2-b281-2041fcb14bc6 · inbound

Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential cites this paper.

Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach

Reference 80

Resolution
verified exact
arxiv_id, observed 2026-05-23T06:12:38.639455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-23T06:09:14.669705Z digest=sha256:9f5af3567c86e83877d702c26a6e4aa114c24d2cb4e8d0c3837c79c29713e32e

Observation fdd5ca09-36f0-4b9a-bdd3-8ddb165f63dd · inbound

Static Dark Fluid Thin Shells in Schwarzschild-de Sitter Spacetimes: Stability and Black Hole Shadows cites this paper.

Static Dark Fluid Thin Shells in Schwarzschild-de Sitter Spacetimes: Stability and Black Hole Shadows Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-02T20:49:50.847585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:49:50.847585Z digest=sha256:a897382e60f91441cb826221e2362842ab466093f0d3cc18463a0c3402181e23

Observation c26c60e2-c7d5-49b3-808b-b5fa1f169a62 · inbound

Photon Spheres and Shadows of Black Holes with Modified Entropy-Inspired Metrics cites this paper.

Photon Spheres and Shadows of Black Holes with Modified Entropy-Inspired Metrics Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-05-11T16:01:05.868581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-09T18:57:17.004672Z digest=sha256:f0b3c99845ff4253e6cae6ab85ce5cd5f125738700347e2ddfe2d026353d6883

Observation 7c5dd3b0-2d75-42e6-8c64-252b79aeb760 · inbound

Photon Spheres and Shadows of Black Holes with Modified Entropy-Inspired Metrics cites this paper.

Photon Spheres and Shadows of Black Holes with Modified Entropy-Inspired Metrics Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-05-12T07:51:27.615343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-12T01:51:40.922299Z digest=sha256:9d783664e6935d2b49b53713d3c496b1f34071c9715146aa4a02224ed48ac41d

Observation 4bf03372-4a2a-4408-a684-07171a9bbd7a · inbound

Photon Spheres and Shadows of Black Holes with Modified Entropy-Inspired Metrics cites this paper.

Photon Spheres and Shadows of Black Holes with Modified Entropy-Inspired Metrics Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:39:28.950520Z

Source-reported events for the cited work

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source=pdf_text observed=2026-05-14T21:38:19.473597Z digest=sha256:bb3138a9d2ea880d5d0a5401cd55635267cca0395e33b518b80f00f115135118

Observation fa23200a-ac98-476d-9eed-467c1cf0a1bc · inbound

Construction of an analytic multi-component accretion environment and its application to Kerr black hole imaging cites this paper.

Construction of an analytic multi-component accretion environment and its application to Kerr black hole imaging Black hole images under spherical-shell and circular-annulus accretion models in Schwarzschild spacetime: a semianalytical approach

Reference 27

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no resolver link, observed 2026-08-14T04:38:28.978649Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T04:38:28.978649Z digest=sha256:8046334e5ab0b0816cb7a4a28da261856c84c1296ca9c11f4f1b6345abc904be