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Paper Citation Record · LEDGER

Causal concept for black hole shadows

As of 16 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 1 inbound Pith citation observation for arXiv:1908.02921.

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

pith.paper-citation-record.v1
1908.02921 v2

Coverage vector

measured 80 of 80 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:41:17.393619Z

measured 81 of 81 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-17T03:17:30.863114Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T03:18:56.755485Z

Reference resolution

80 of 80 outbound references displayed

  • verified exact1
  • verified fuzzy56
  • unresolved22
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9ccf4f29-44d0-4621-afc3-6d80a5a542f4 · outbound

This paper cites Firstly, we want to distinguish the effect of Ricci curvature Rabkakb from the deviation equation given in the previous section (Eq.

Causal concept for black hole shadows Firstly, we want to distinguish the effect of Ricci curvature Rabkakb from the deviation equation given in the previous section (Eq

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.871724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation bc715cb6-3b9a-4d59-94cd-5f83cb57b722 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T14:41:17.007767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:41:17.007767Z digest=sha256:cf0bcb04fdf4cf88d6a67133eedad5ad42c0cbe597a872d8cef0c040ec69198b

Observation 28c3b5d9-aa41-4607-aef0-5e3e5ee8dee1 · outbound

This paper cites First M87 Event Horizon Telescope Results.

Causal concept for black hole shadows First M87 Event Horizon Telescope Results

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.744051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 11b5246a-09bc-430e-86a7-434f721f858a · outbound

This paper cites First M87 Event Horizon Telescope Results.

Causal concept for black hole shadows First M87 Event Horizon Telescope Results

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.728655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.019233Z digest=sha256:6d6fe5cb6495c04dc40de9166a010e49fd1934c25c1048d5ebb81f3adf57e6ea

Observation b40dac34-a1b5-49b8-87e5-1ad66dcb3905 · outbound

This paper cites First M87 Event Horizon Telescope Results.

Causal concept for black hole shadows First M87 Event Horizon Telescope Results

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.712409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b3f77163-d7fd-4b5a-aca2-aa343c282ac4 · outbound

This paper cites First M87 Event Horizon Telescope Results.

Causal concept for black hole shadows First M87 Event Horizon Telescope Results

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.695692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2141648a-3a86-4283-a1ab-b7998c206d57 · outbound

This paper cites First M87 Event Horizon Telescope Results.

Causal concept for black hole shadows First M87 Event Horizon Telescope Results

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.677635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 562d71cb-d5b1-4bb0-ab3f-5e3fc52879f3 · outbound

This paper cites First M87 Event Horizon Telescope Results.

Causal concept for black hole shadows First M87 Event Horizon Telescope Results

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.660547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.041725Z digest=sha256:b3634865133a5d6cc4e793d44ea3d7cfcada04374cfbfe28c1aa6d92f96ce572

Observation b5f7623c-3412-4b92-abbb-7e40c7eb02b3 · outbound

This paper cites Topology of event horizon.

Causal concept for black hole shadows Topology of event horizon

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b764b13e-b591-42b8-966d-ce6ffd615a51 · outbound

This paper cites Topological appearance of event horizon: What is the topology of the event horizon that we can see? Prog.

Causal concept for black hole shadows Topological appearance of event horizon: What is the topology of the event horizon that we can see? Prog

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.626500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b259c3ba-e070-432d-a184-a2d36bcb4ca3 · outbound

This paper cites The Asymmetric merger of black holes.

Causal concept for black hole shadows The Asymmetric merger of black holes

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.609574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.056481Z digest=sha256:e1bd9ab2954c5d33a6f9615171b42f90144e533d7e825e6ed19ab8b55035b543

Observation bd98be69-dd55-44f2-a184-19c32c767618 · outbound

This paper cites Cohen, Jeffrey D.

Causal concept for black hole shadows Cohen, Jeffrey D

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.594005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e48f87ee-2592-41c6-ae84-925923bf248d · outbound

This paper cites Kidder, and Saul A.

Causal concept for black hole shadows Kidder, and Saul A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.578694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.066770Z digest=sha256:3ea7d2a4fec62070f30004237a4574c7364ed53295d0601a696f2fcadd51c2b0

Observation c4cad5a1-d5ff-412d-8dbd-27a4ebc65864 · outbound

This paper cites Black hole fusion in the extreme mass ratio limit.

Causal concept for black hole shadows Black hole fusion in the extreme mass ratio limit

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.562423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.071532Z digest=sha256:03a2a6d0951ff9d3a0f6da1151fa3256c4a7aec75567a2324b95cccf171de826

Observation b2a6a262-f8d8-496b-b9a1-cd00f0f74cf0 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:18.545965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.075613Z digest=sha256:bd595e71361feafc854bda050aee2a8d8b3d67b7e99a06f0c1e60cf2010f96bd

Observation 315dc80e-501e-4cf3-9f28-00a81f0a8347 · outbound

This paper cites Viewing the shadow of the black hole at the galactic center.

Causal concept for black hole shadows Viewing the shadow of the black hole at the galactic center

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.531802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.079787Z digest=sha256:6f30bc299aa2e67793c172445b102df541a91d7895a61696044a1ab51b026e19

Observation 1e3954a5-7486-499d-8fa7-07d82d00ed33 · outbound

This paper cites Broderick, Abraham Loeb, and Ramesh Narayan.

Causal concept for black hole shadows Broderick, Abraham Loeb, and Ramesh Narayan

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.515399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.083949Z digest=sha256:45fdb60019ed5646218f913b37c66c442f9d23b3816aca331f0290e47c3aae56

Observation 435cd8b6-0bb0-4cf8-952c-4cbe80d302f6 · outbound

This paper cites Broderick, Vincent L.

Causal concept for black hole shadows Broderick, Vincent L

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.499694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.088158Z digest=sha256:0786e8c32f0ae0bb01c0ee536dc4136732f1ca1aba8c8dd038ec09b0fb8bf5ac

Observation b530221f-4918-493e-9717-14e44785c53b · outbound

This paper cites Shape and position of the shadow in the δ = 2 Tomimatsu-Sato space-time.

Causal concept for black hole shadows Shape and position of the shadow in the δ = 2 Tomimatsu-Sato space-time

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.482925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.092685Z digest=sha256:d7859ccf6a3cbe2bb5a3662a33809c9c6f408375cb8d95a598bcbe0dfada4de9

Observation b8b2c1f8-69e6-430f-99fb-8a5b350be495 · outbound

This paper cites Testing the rotational nature of the supermassive object m87 from the circularity and size of its first image.

Causal concept for black hole shadows Testing the rotational nature of the supermassive object m87 from the circularity and size of its first image

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.466625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.097130Z digest=sha256:31eb8539799b64733ed72e814b7a9f256f235c43f8db1ed608f0f7c17baf162c

Observation 798ef382-ceba-40bb-8f8f-81c6b898f373 · outbound

This paper cites Shadows of colliding black holes.

Causal concept for black hole shadows Shadows of colliding black holes

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.451204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5e432c43-5c49-482b-8308-bdf4cd5a2a28 · outbound

This paper cites Shadows of Multi-Black Holes: Analytic Exploration.

Causal concept for black hole shadows Shadows of Multi-Black Holes: Analytic Exploration

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.434047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 566aa7e5-17c1-4fb5-9674-753b75927778 · outbound

This paper cites Shadow of Kerr-Taub-NUT black hole.

Causal concept for black hole shadows Shadow of Kerr-Taub-NUT black hole

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.418388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.111228Z digest=sha256:a427ce8744455a4a5052efc79d489ccff34eee1f381362935f8160f50c0c49e3

Observation 4a476937-c3c2-4de8-ae71-1f96b9b06b66 · outbound

This paper cites Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant.

Causal concept for black hole shadows Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.402236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.116309Z digest=sha256:fa571b0d453bee2f6c3958f1835a63a61fafef6d308eec6ddb35bfb9681271ef

Observation 74c3727e-3cd7-42c2-b084-7ee105e7a191 · outbound

This paper cites Eiroa, and Gaston Giribet.

Causal concept for black hole shadows Eiroa, and Gaston Giribet

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.387767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.121207Z digest=sha256:6c7b4693303b54dfaee232f919b9701ea365d7ab3692f27141db2eaa4d656bbf

Observation 888c089c-f5c9-41f5-9eb7-04ad2201ae24 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:18.370697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.126329Z digest=sha256:4af9842087a2cb93ca1b0c930de8bcb5ea8f1c126e87b9f326b64b606957dca4

Observation a953a657-a4b0-4744-80be-877f2fce365c · outbound

This paper cites Shadow of a Charged Rotating Black Hole in f (R) Gravity.

Causal concept for black hole shadows Shadow of a Charged Rotating Black Hole in f (R) Gravity

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.354919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.131171Z digest=sha256:66147e7cad98f0ebcdf5919cb20eb9b8f4a73ce8ad2cf5ee22eddf6fb9976e0c

Observation d304f46f-2b9d-4545-b31d-fe182f00bb16 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:18.338571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.136103Z digest=sha256:57a71ac051e579b985e9eabdfd7309ebe8f24a3bfe74e47221ed31b0a01cbe6b

Observation ebd20027-486c-4d85-a257-eff666cfff3e · outbound

This paper cites Hunting for extra dimensions in the shadow of m87.

Causal concept for black hole shadows Hunting for extra dimensions in the shadow of m87

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.321112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.141251Z digest=sha256:7eac630fdfc2c8d3d6e0554cc0aa63751be6fce809c89fd20d67170b1c2a6874

Observation 7c02650b-f84e-4449-b74e-10ebeaf4a69c · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:18.304960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.146545Z digest=sha256:6c83b518689b789b0a891a4b4277be2416a106ce2aaa2d1916b7a9ababc924f4

Observation 88d96bd2-db86-487e-ba19-0835eb669677 · outbound

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

Causal concept for black hole shadows Upper bound on the radii of black-hole photonspheres

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.288401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.151661Z digest=sha256:f4744f6dc9e462c73993ee4277c5c3734fb4bc4966971a071bb9102688c00a12

Observation 7ea4fd2b-6581-48c7-b5d8-3ecfee872ffb · outbound

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

Causal concept for black hole shadows On the number of light rings in curved spacetimes of ultra-compact objects

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.272316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.157000Z digest=sha256:8daaa7fdfbff4606e1b3e2f3dea813f3d0a44910b83f1d80dbe5d6c8d321aa7d

Observation 173cf5ea-7911-45d1-b736-e5d2d6c40697 · outbound

This paper cites Absorption and emission spectra of a schwarzschild black hole.

Causal concept for black hole shadows Absorption and emission spectra of a schwarzschild black hole

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.255759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.161945Z digest=sha256:447d0bf70b9e51b8d8c8cc06120d76dc070b3fe00541af879c54fa6f6d2a6d57

Observation f1c91489-116d-4ead-949b-669856d5d38c · outbound

This paper cites Unstable circular null geodesics of static spherically symmetric black holes, regge poles, and quasinormal frequencies.

Causal concept for black hole shadows Unstable circular null geodesics of static spherically symmetric black holes, regge poles, and quasinormal frequencies

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.239451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.167050Z digest=sha256:2280006716298aa5e531bf6c2e3d4c3c28f760ac749f288a6093c4e2c4cb10d3

Observation 9232b6d9-b6a9-48b7-bf13-3a9b10abf4c3 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:18.224425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.171963Z digest=sha256:e528f9ed54494c41b1c64adef767f0c5cf14ee204fe1336330bef7918307b4fd

Observation fddc21da-a05f-4deb-b55f-bba0aa3d4f70 · outbound

This paper cites Spherical photon orbits around a kerr black hole.

Causal concept for black hole shadows Spherical photon orbits around a kerr black hole

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.209050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.176896Z digest=sha256:096117c5778972c33400ce92752e506edc755a084b9bd51517af9e9908447959

Observation 7c81c516-1ae4-44dd-8b3f-2c62102c2e8d · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:18.192590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.182399Z digest=sha256:9a96f28d036553431f14335c758e53fcf70efa3f913624bf2f928dc8051d6354

Observation 8d131542-cf64-4170-b97c-18e778996d4e · outbound

This paper cites Catastrophe theory and its applications.

Causal concept for black hole shadows Catastrophe theory and its applications

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.176313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.187598Z digest=sha256:d6ec726f9d5ad900e8eaff7b962d04454bb82e32ad1d5bfb38d38e5ac2d991cb

Observation 9842f0d4-3621-4911-a379-bd474ea7c25e · outbound

This paper cites The shadow of a collapsing dark star.

Causal concept for black hole shadows The shadow of a collapsing dark star

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.159651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.192517Z digest=sha256:4033dd4245423f2deebca9e089edcf893f5b56765924d0b369c5256083103094

Observation 4fedfb27-91f7-43de-8541-c943c7e31e53 · outbound

This paper cites Quasi-local photon surfaces in general spherically symmetric spacetimes.

Causal concept for black hole shadows Quasi-local photon surfaces in general spherically symmetric spacetimes

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.143029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.197354Z digest=sha256:4840163c9ccd02cbbe02d756767c5dd25c6592de50aa82dae9be4f851fd1cab2

Observation 52e56186-4db5-4dc1-b276-b4f2f347f19c · outbound

This paper cites Understanding photon sphere and black hole shadow in dynamically evolving spacetimes.

Causal concept for black hole shadows Understanding photon sphere and black hole shadow in dynamically evolving spacetimes

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.126796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.202171Z digest=sha256:2d9cd6395fbcf6ea535e1150dda93c1d850e06a3ae96eee2f5e4d56728835b76

Observation c04e026f-71fe-46ea-9a7f-7361b6615fea · outbound

This paper cites Bisnovatyi-Kogan and Oleg Yu.

Causal concept for black hole shadows Bisnovatyi-Kogan and Oleg Yu

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.110493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.211005Z digest=sha256:e4f511a9461c5b5698b63e67b1899ef509d0927eb373b54faca1b32ec163a7b8

Observation cbc56187-a470-4a0f-bfff-8e133d004b0e · outbound

This paper cites Transversely trapping surfaces: Dynamical version.

Causal concept for black hole shadows Transversely trapping surfaces: Dynamical version

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.094651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.218013Z digest=sha256:7890341b226c6aed6bf82f4c49a6dfe6243c46139e5aa4beb022fe3bd72eae0b

Observation 780f0a4e-4087-48b9-b9f6-9bdccbe487b7 · outbound

This paper cites The fingerprints of black holes—shadows and their degeneracies.

Causal concept for black hole shadows The fingerprints of black holes—shadows and their degeneracies

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.078440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.222898Z digest=sha256:51b0014e243635a426bac3656cbbf5cd6b65d49f03cd47cbd69dbd434c6c79f0

Observation ef4d18ee-ae44-4c34-b46d-09002fcf2ab9 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:18.063130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.227760Z digest=sha256:5c6b4f93e28b7b010a645fc6378701ae4043542e2013334001f6918873a8eb9c

Observation d04025fc-99f1-4dff-af36-d6767a1a2c39 · outbound

This paper cites Spherical steady accretion flows: Dependence on the cosmological constant, exact isothermal solutions, and applications to cosmology.

Causal concept for black hole shadows Spherical steady accretion flows: Dependence on the cosmological constant, exact isothermal solutions, and applications to cosmology

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.048169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.232567Z digest=sha256:f58cfef597af025c51ee7ce4f04239b37b28cf76cf3093c0dfeeacdc757a4ba5

Observation 7f2b134e-59b3-468a-bb18-10a55b72beaa · outbound

This paper cites Radial accretion flows on static spherically symmetric black holes.Classical and Quantum Gravity, 32(15):155006, jul 2015.

Causal concept for black hole shadows Radial accretion flows on static spherically symmetric black holes.Classical and Quantum Gravity, 32(15):155006, jul 2015

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.031134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.237170Z digest=sha256:ee1d4cd3abe979b9c30fc4a6bb14a4f7daebbc32315a4d65355218a3fb2ae119

Observation 12be2d00-556a-460e-8d47-60571996bb93 · outbound

This paper cites Cveti ˇc, G.

Causal concept for black hole shadows Cveti ˇc, G

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:18.014721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.241401Z digest=sha256:cc4946f337211e144cf7f5caa6cc0533b43d033e76cf7bac940a786918b487c2

Observation 67e4b438-9c0c-45d3-b731-de7aadecdb94 · outbound

This paper cites Correspondence between sonic points of ideal photon gas accretion and photon spheres.

Causal concept for black hole shadows Correspondence between sonic points of ideal photon gas accretion and photon spheres

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.997640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.245906Z digest=sha256:92910f79ff19e130b58d0c9a088e0ed657984d60d40e91fd2de5c320235bfaef

Observation 31d1d040-a442-49b9-b229-1b4931896cd4 · outbound

This paper cites Rotating accretion flows in d dimensions: Sonic points, critical points, and photon spheres.

Causal concept for black hole shadows Rotating accretion flows in d dimensions: Sonic points, critical points, and photon spheres

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.980946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.250242Z digest=sha256:8a2b59391d7759e0eb34fad52adbaa08d87de4f782334f0de31a3f4cc7b0be3c

Observation 44fe2ec0-c0f5-4cc7-8042-9138615cd009 · outbound

This paper cites Photon surfaces in spherically, planar, and hyperbolically symmetric spacetimes in d dimensions: Sonic point/photon sphere correspondence.

Causal concept for black hole shadows Photon surfaces in spherically, planar, and hyperbolically symmetric spacetimes in d dimensions: Sonic point/photon sphere correspondence

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.964059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.254605Z digest=sha256:1642c7044a5213eb39ece875ebcb69d34bbbe8679f56cb27260ae8c12786a0c9

Observation 522e7f6b-bc6c-449a-9c9a-ef93a5c0c0b1 · outbound

This paper cites Gibbons and C.M.

Causal concept for black hole shadows Gibbons and C.M

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.947802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.258932Z digest=sha256:cdb6751ad17497b4c4c0289bba4da204b3274ba8238448a1ca3e17703a8e26a1

Observation 76787d54-f5ce-404a-a6f4-1c7d87987632 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.932431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.263471Z digest=sha256:b9915b55a8d78be141b0cb05a2fe9de2875ccae36acce124c54237caaebdef91

Observation a5f77fcd-8940-4a01-9444-f6d290f5cea9 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.918004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.268371Z digest=sha256:d7a114430a1d9332f1d2020592e397b546ee82aadc00fbe1010c25ef3ae7c37f

Observation 0fa83f23-0ecb-4a15-a739-fe32d99fd195 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.901617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.273266Z digest=sha256:5edc875aa6b63458493ea8a962a47240e51cd456176d7e1cd8d71076ee7a88bf

Observation be39b0e9-f59f-435a-a56c-1086e7d1f29c · outbound

This paper cites Stability of null orbits on photon spheres and photon surfaces.

Causal concept for black hole shadows Stability of null orbits on photon spheres and photon surfaces

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.885765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.278314Z digest=sha256:6a242b36c5d2c514f219766652d6064a7a502662b7f6c2558712e3055dce1b21

Observation 8ac244c4-2d5b-4c74-a0ea-c2cad96c4ead · outbound

This paper cites Spinors and space-time, vol.

Causal concept for black hole shadows Spinors and space-time, vol

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.869577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.283195Z digest=sha256:df8d10adfe366359248db9b7533c8f89c159a9b2cfba8319ed80066b35e427f4

Observation 955af573-7e7e-4f37-b32d-eec9d4e0ff75 · outbound

This paper cites Geroch, E.

Causal concept for black hole shadows Geroch, E

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.853204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.288011Z digest=sha256:a1db5d9a03c55571d978afd3bb0ec16cd2ad8a8972f402cd29934e21a5c1d4db

Observation e1eb29ef-e313-4023-a884-93094a983330 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 59

Resolution
parse uncertain
raw_fallback, observed 2026-08-14T14:41:17.837110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.292886Z digest=sha256:34c48c04170f41bba3be166c00f917a6f271e84da5d82078379d347e95b06d2d

Observation 2d9e0798-a2a9-425a-9f25-3b30ec314fb0 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.820292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.297979Z digest=sha256:e6329a8f4828d88e214a3dd6d8d98e7e204f2400e364c68873f618fe6aa3af68

Observation 37a50471-6a08-4aa9-b25c-cba78d91d27a · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.805941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.303065Z digest=sha256:919d782415015e65c96cb3b2df791f7f70038bffcfd5441127ca349cb1bf8056

Observation 20968cb8-43ef-4c97-93c2-97af935d3546 · outbound

This paper cites Slowly decaying waves on spherically symmetric spacetimes and ultracompact neutron stars.

Causal concept for black hole shadows Slowly decaying waves on spherically symmetric spacetimes and ultracompact neutron stars

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.791009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.307955Z digest=sha256:1354d84851ce83249abd904711fe328e9675764b58fbf811918d84f81df7e5a1

Observation 6466c3db-a6f0-4b84-9ce0-07f00328a979 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.775233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.312816Z digest=sha256:588d29a15ffd2ccccdbbf55e597f4dc4e1ff719399a14e95e4299e055551c4d1

Observation 80b762c3-3a44-44ff-a297-010dc58e8a1d · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.759674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.317600Z digest=sha256:3a0c0e521914f64eecb29d9dc2442b0db171f097aa9934d213f216f956fc5a81

Observation 398cf8c4-a657-458a-a4a0-deee402d4c90 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.743612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.322409Z digest=sha256:b1ed24dffeabab270148344ca8cd30e7640911079df320690c48a59c01aee7ec

Observation fe0a23eb-5e88-40b6-9e08-9d9b0189f862 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.727630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.327367Z digest=sha256:c4d558498b632fc99adf24eee19cf835244a6a76a2b9d3a5101fb0aafbf7fea5

Observation 3c6e1a38-4a53-4427-ad16-842c16ed7c08 · outbound

This paper cites Light curves of light rays passing through a wormhole.

Causal concept for black hole shadows Light curves of light rays passing through a wormhole

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.712197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.332351Z digest=sha256:1b8baf244ca52a5b0d0f32947aab588b51447296a2f5096f2445758e63922fbf

Observation f9ceae9e-66d3-46ff-9cfd-2a1cf518a093 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.695773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.336993Z digest=sha256:6a9b2aac89344df1aa388703fa546ae22cef9f4d3b5f705dad4d4841f6ce0c8c

Observation e966a0ff-6582-4365-9558-8c9a58816269 · outbound

This paper cites Eiroa, Gustavo E.

Causal concept for black hole shadows Eiroa, Gustavo E

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.679589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.342279Z digest=sha256:bc4bf29c5fac2f3756577d7a8f8fb68b85b9abb3840200093ab8b61a92d3d018

Observation 4c807d46-ccce-4a08-892b-f17cc722952a · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.664398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.346962Z digest=sha256:abf5e4ace6e44b1fa2545c08e50b31101701dae41c1b928aa10c650b37c2689c

Observation b7efd483-a194-4207-9141-53db2e465c11 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.649406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.351627Z digest=sha256:e30c22f03029fd59a87b9ba31b4fdabdf392056575b0adf578923c9a826043a5

Observation a8fd00b8-f12e-4196-aea5-d6c368635b26 · outbound

This paper cites Analytical approach to strong gravitational lensing from ultra- compact objects.

Causal concept for black hole shadows Analytical approach to strong gravitational lensing from ultra- compact objects

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.633934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.356455Z digest=sha256:28d88be2cd07278a0059b0991605af9b4b2a8714dcb1ceb9c952024600bac4ae

Observation b6d4377a-ff59-46f4-99a9-f0d82c3a22fb · outbound

This paper cites Stefanov, Stoytcho S.

Causal concept for black hole shadows Stefanov, Stoytcho S

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.617636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.361334Z digest=sha256:4646e3788a9570697fb9534beba2a6abff9772fb9e114fac18e456daec7f8434

Observation f815ebc7-c8ec-428e-b9ba-cf8e71691174 · outbound

This paper cites Thorne W.L.

Causal concept for black hole shadows Thorne W.L

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.601189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.366108Z digest=sha256:1fbaa50c95ad01c06352b55e612461887dfcdf936ed422c4bf8a0c6658782e26

Observation 6ca243e9-0a08-4eca-8cb5-cd5bbb0e145f · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.584102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.370988Z digest=sha256:df67c64c8999465aa5e3cc401451fce11661ac971672d6601fb95c8a476f3bb6

Observation b2ffe03e-4dba-44ce-82e4-ef6ed5d17f24 · outbound

This paper cites How does a collapsing star look? Physical Review D, 100(8), oct 2019.

Causal concept for black hole shadows How does a collapsing star look? Physical Review D, 100(8), oct 2019

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.565290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.375924Z digest=sha256:58df867ce96c0f7fa4c4ba12bfefd3ac665c403f5fd1c4f93631826c6d5eb42b

Observation ef8084bb-056f-4371-a0f5-e24296f45bb5 · outbound

This paper cites TOPOLOGICAL CLASSIFICATION OF BLACK HOLES: GENERIC MAXWELL SET AND CREASE SET OF a HORIZON.

Causal concept for black hole shadows TOPOLOGICAL CLASSIFICATION OF BLACK HOLES: GENERIC MAXWELL SET AND CREASE SET OF a HORIZON

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.548491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.380446Z digest=sha256:b422835e148902aacc3037016bdccfe0233d47c6f850e4115e6a8c6369aea046

Observation 9551010b-4871-4ae4-ba9d-ffe4c7273845 · outbound

This paper cites Topology of event horizon in axially symmetric spacetime: Classification of maxwell set with symmetry.

Causal concept for black hole shadows Topology of event horizon in axially symmetric spacetime: Classification of maxwell set with symmetry

Reference 78

Resolution
verified exact
raw_fallback, observed 2026-08-14T14:41:17.496855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.384700Z digest=sha256:ad94eeb0f6681761149901e11250c93794e2bad9905c85244667ecbb276ec7c4

Observation 86117b24-ad24-45b9-ae8c-47eb2967e303 · outbound

This paper cites an unresolved cited work.

Causal concept for black hole shadows Unresolved cited work

Reference 79

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:41:17.530701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.389307Z digest=sha256:acd4e8c0c04c48e8501676b66311616195d2f37a89adcfec495d18a06fdfd03d

Observation 89daf1dd-9f35-4fd2-9bf6-c56621139cf8 · outbound

This paper cites Siino and D.

Causal concept for black hole shadows Siino and D

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:41:17.513708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:41:17.393619Z digest=sha256:262711e3dc29649a2f6accea86490f5e4f360bb4c39e1837ed3e5e28ca76af8d

Pith citing papers

Observation b0f5ac3e-7caf-4c8d-b2b5-74076f2f0cf7 · inbound

Gravitational lensing inside and outside of a marginally unstable photon sphere in a general, static, spherically symmetric, and asymptotically-flat spacetime in strong deflection limits cites this paper.

Gravitational lensing inside and outside of a marginally unstable photon sphere in a general, static, spherically symmetric, and asymptotically-flat spacetime in strong deflection limits Causal concept for black hole shadows

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-05-17T03:18:56.758097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-17T03:17:30.863114Z digest=sha256:9ce835f2da93f8841124f846e81b1ebcd5e3af670e173178b3fb38fb1d84ce52