Pith. sign in

Paper Citation Record · LEDGER

Black holes as gravitational mirrors

As of 19 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2505.06018.

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

pith.paper-citation-record.v1
2505.06018 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:59:05.861236Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

37 of 37 outbound references displayed

  • verified exact1
  • verified fuzzy28
  • unresolved7
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 811dce35-ab96-4f13-836f-59468f92f163 · outbound

This paper cites Bartelmann, Class.

Black holes as gravitational mirrors Bartelmann, Class

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.307318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.769131Z digest=sha256:af433ce2c8df8de34ca5e6a33265ed9a74eb7db574f1ad39e1820b361c0bc5eb

Observation c97006c5-3a39-4e66-9c4d-157b3ab9cc38 · outbound

This paper cites Luminet, Astron.

Black holes as gravitational mirrors Luminet, Astron

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.298496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.771938Z digest=sha256:cc5c478fcd0c3b94e6c53af4accde602a74dd617d5c34db8b6d37f7908f9557b

Observation 5dfe90e5-11fa-4435-a58b-1fe4c7eebada · outbound

This paper cites Nemiroff, Am.

Black holes as gravitational mirrors Nemiroff, Am

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.289231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.774722Z digest=sha256:b5cece31cf2a4797c1ecfc629144529f224f90f0e367ce401e2c6e2b20da7583

Observation a82206be-eff1-4092-b194-34a94308d351 · outbound

This paper cites Frittelli, T.

Black holes as gravitational mirrors Frittelli, T

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.279401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.777705Z digest=sha256:c21113896cf0fca457930e16326f5a8f0d59765b220365cc8b930b0314a820a4

Observation 0257798f-31d0-4686-97c3-0fedce97fcee · outbound

This paper cites Virbhadra and G.

Black holes as gravitational mirrors Virbhadra and G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.269278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.780273Z digest=sha256:b185598ce4c8f836f1abb95f3f976f239316c64797cb08613f92ec937a4aeccf

Observation c7eae9dc-70c6-4da8-9d89-4d58c8b24e0f · outbound

This paper cites Bozza, Phys.

Black holes as gravitational mirrors Bozza, Phys

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.258206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.783446Z digest=sha256:4c65dfce378d3b2559ea9bad7ee0aa70f370a55e04c5c25abf1080029641b567

Observation 6bcd7fa0-6dfd-497f-9a8b-ebfec38272ef · outbound

This paper cites Perlick, Phys.

Black holes as gravitational mirrors Perlick, Phys

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.247138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.786126Z digest=sha256:eaa91a9cca1d61efc0e807c245072b93f2f8e299059514e22398ea4f38313ab1

Observation dd940200-f48c-4718-9ee0-b1d4a1a78aea · outbound

This paper cites Iyer and A.

Black holes as gravitational mirrors Iyer and A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.237848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.788682Z digest=sha256:b7d070b05d7208933f321b1aa8d1d47482ab02602e541415f41c6702d93d8a11

Observation 47115634-4f15-439b-89eb-81c365a3ccb0 · outbound

This paper cites Page, Class.

Black holes as gravitational mirrors Page, Class

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.227463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.791129Z digest=sha256:78389997a3904cee42fd1064cd00718a375f25dcbb05e29dbff3e44aa7a1d283

Observation 19e0d66b-507d-4658-a767-1df980a1afd5 · outbound

This paper cites Muller, Phys.

Black holes as gravitational mirrors Muller, Phys

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.217765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.793817Z digest=sha256:075e5327c57b33fddeb740150118641ad10a59adf590e3ffc0b7ac14b00fb815

Observation 24ecba9b-4352-46b8-8f24-aafea0eb3aca · outbound

This paper cites Cramer, Gen.

Black holes as gravitational mirrors Cramer, Gen

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.208309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.796450Z digest=sha256:d8122542e7927d200c19f3613866eab4c07d7b894a268eae1cf4772416e2eb01

Observation bb3391b2-5420-4f68-ab4c-fd13164146ad · outbound

This paper cites Akiyamaet al.(Event Horizon Telescope), Astrophys.

Black holes as gravitational mirrors Akiyamaet al.(Event Horizon Telescope), Astrophys

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T22:59:05.799296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:59:05.799296Z digest=sha256:f69745ad0317790d5afd9224179173603538882bfff546bc827459e63b4930ac

Observation be1c235b-6185-4af6-a083-dcfe51828f24 · outbound

This paper cites Akiyamaet al.(Event Horizon Telescope), Astrophys.

Black holes as gravitational mirrors Akiyamaet al.(Event Horizon Telescope), Astrophys

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T22:59:05.801836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:59:05.801836Z digest=sha256:7ad1ec6740979018c5fb0c31356d6ff60ca31bff8d8a2b04ac9da61b74083104

Observation 9a2c26f7-27df-4d1e-97e0-497bc05eea0b · outbound

This paper cites Akiyamaet al.(Event Horizon Telescope), Astrophys.

Black holes as gravitational mirrors Akiyamaet al.(Event Horizon Telescope), Astrophys

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.184607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.804346Z digest=sha256:d048976dd96f5df4198616bf5e3cb28f62dd9af9af2f839235ca60b63632b162

Observation 9dcfa551-472f-4395-8704-0d8c2d7d6bee · outbound

This paper cites Claudel, K.

Black holes as gravitational mirrors Claudel, K

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.174847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.807264Z digest=sha256:8a13a65920b54d94ac745301ff9bcfcb75b792adcc7b2195710a3e242cbd4f7e

Observation 89f22e06-d59d-42cd-b593-410f8e1bd24d · outbound

This paper cites Hasse and V.

Black holes as gravitational mirrors Hasse and V

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.165959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.809730Z digest=sha256:138e14d77e3aa3eb6d1182fdc9686c697cf74314840a58ae6076636b75616681

Observation 3fbd1761-170f-41ef-af1d-299f8076c3b2 · outbound

This paper cites Stuckey, Am.

Black holes as gravitational mirrors Stuckey, Am

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.156696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.812293Z digest=sha256:22316707db398b55157b8ef36f2536b9b5e601d2d1b12d524a84ea398fb9dcfe

Observation 9a08ae94-b87b-4c08-9ac8-f8f96ce997fe · outbound

This paper cites By inspection of Equation (18), it can be seen that the parametersD LS andMhave played an important role in the final value for the magnitude of the images.

Black holes as gravitational mirrors By inspection of Equation (18), it can be seen that the parametersD LS andMhave played an important role in the final value for the magnitude of the images

Reference 18

Resolution
malformed identifier
raw_fallback, observed 2026-08-15T22:59:06.317398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.765490Z digest=sha256:c82ec4567313c5225f3e32a3183d9048c24f77776e6e31c5a78b9450b01e0a2d

Observation 95c3ae12-11b3-469d-9427-99596d50582f · outbound

This paper cites Holz and J.

Black holes as gravitational mirrors Holz and J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.147567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.814785Z digest=sha256:fb10add5379ba88b459891f4e2517dc9796f052626014fc6fb09b2dbefb2619c

Observation c226bb01-6c97-4c36-abf6-e2e56dfdd623 · outbound

This paper cites De Paolis, A.

Black holes as gravitational mirrors De Paolis, A

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.138238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.817298Z digest=sha256:6d7e70dd8e6574a892e0d8e1e3c9931ba9f95a5afa96dca7d466d0d374931fd3

Observation d88f6f0a-d4ed-49d7-a4ae-af97b930d913 · outbound

This paper cites Retrolensing by a spherically symmetric naked singularity.

Black holes as gravitational mirrors Retrolensing by a spherically symmetric naked singularity

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-15T22:59:05.893825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.820143Z digest=sha256:5f9e10b115b84cba83d90f5a37709da6e60eab317e66a716636508b5219f10f7

Observation 66fa78aa-2839-4683-bec3-32e0342eb2cc · outbound

This paper cites Tsukamoto, Phys.

Black holes as gravitational mirrors Tsukamoto, Phys

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-15T22:59:05.823151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:59:05.823151Z digest=sha256:4e1c85b850d376b42c9ace144a2118ba076c6e518ef00dfab1367827fd98fdd8

Observation e753bc24-9e92-42eb-aed6-7ebda5cfac7b · outbound

This paper cites Bozza and L.

Black holes as gravitational mirrors Bozza and L

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.121424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.825654Z digest=sha256:7b0c1ca2011babac3d943a695e7494c19680c6cea3e50f54e23ba79a3e2723d9

Observation dc71def6-ac45-46d7-8276-ac147bf3e0d4 · outbound

This paper cites Tsukamoto, Phys.

Black holes as gravitational mirrors Tsukamoto, Phys

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.015471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.828203Z digest=sha256:fa9548dda3acddee67dac7ea7ff2a07c84d8e289a5836c3e0645dd988ca49b59

Observation 74bad3b7-df33-47bb-ba9c-ab23207a1d2c · outbound

This paper cites Abdujabbarov, B.

Black holes as gravitational mirrors Abdujabbarov, B

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:06.006057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.830674Z digest=sha256:cc0bf335f6ab615bb51075f3fd1122e3a7cfce7e29e0f81ec3a8ff227e053c40

Observation d8183b61-32fa-443c-a3ad-2e55678a3146 · outbound

This paper cites Harada, Phys.

Black holes as gravitational mirrors Harada, Phys

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:05.996212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.833058Z digest=sha256:a18cae64600276f02dc77c2e180f756a402e407c22f182967b41c5b967af9a2d

Observation 289d9045-2fef-4eb9-a7c3-9fb86c35cb2c · outbound

This paper cites Eiroa, Phys.

Black holes as gravitational mirrors Eiroa, Phys

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:05.987499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.835543Z digest=sha256:33687ccb329dc49eaddd6ae4916c906833820adabfa566bbce2c6118c1def108

Observation a52ef211-7f91-4cce-9562-7082be4a7457 · outbound

This paper cites Tsukamoto and Y.

Black holes as gravitational mirrors Tsukamoto and Y

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-15T22:59:05.838035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:59:05.838035Z digest=sha256:22f41da0067201b7accc3ee138a063b4f001395a31bc59e4f0820c5e5f693ef9

Observation 9577c2ab-b3de-426b-9405-78c41006e7a1 · outbound

This paper cites Abuter, A.

Black holes as gravitational mirrors Abuter, A

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:05.972935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.840890Z digest=sha256:71f959d640db2d2f9a462a2559b9891e23219bd46bd9496ee7a78936412c8c43

Observation c40fe6cc-03b9-4fc6-8719-7d36b2294fd8 · outbound

This paper cites Rivinius, D.

Black holes as gravitational mirrors Rivinius, D

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:05.963989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.843345Z digest=sha256:ea2e50bf0f64c81a6fc4d9c9bb472fd02f29c01a53245c6ad8fc369afee04c69

Observation fa372e73-981c-46b0-bf73-1d1a40e3bca6 · outbound

This paper cites Ohanian, Am.

Black holes as gravitational mirrors Ohanian, Am

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:05.955621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.845717Z digest=sha256:4953df6e1fc61ec3bdd081391040d7598f64116c6c133ea386ac3baed52ccfea

Observation 29084af8-360a-4bd2-be83-641455e318f2 · outbound

This paper cites Bozza, Phys.

Black holes as gravitational mirrors Bozza, Phys

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-15T22:59:05.848135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:59:05.848135Z digest=sha256:3e6b9f8900dae0b8cef8a75b3da67029234582b256c5962cd2d502b14308df09

Observation 70e0f05e-d351-4a15-8c7a-f76a6f055ffa · outbound

This paper cites Neves, Eur.

Black holes as gravitational mirrors Neves, Eur

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:05.940104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.850638Z digest=sha256:5bd02398c8c67e10562417302309d2b1443c182d80c264bf0fc02840d67f2577

Observation 74325e0c-c812-4093-9974-a8a3a997e296 · outbound

This paper cites L´ opez-Morales, Publ.

Black holes as gravitational mirrors L´ opez-Morales, Publ

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:05.931540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.853081Z digest=sha256:4bde4756f0e5909b193522a3d8e14fadcbb6c1a954e73a86e13f9564b9d726aa

Observation 7411cf16-fe6d-486b-9bf0-8c70ce1fb3e3 · outbound

This paper cites De Felice and S.

Black holes as gravitational mirrors De Felice and S

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:59:05.922700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.855807Z digest=sha256:645ec39dba6af1f26bc6cc26c92a738291420f0cf6715939eac17ae3570feab4

Observation 39a60a53-aaf4-4936-b002-09073f83f678 · outbound

This paper cites an unresolved cited work.

Black holes as gravitational mirrors Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:59:05.912692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.858241Z digest=sha256:3d37a4ca80e4bb335257103ffab3c1a35286013fdcd2b4d53c46b259debc0bb6

Observation 08a826d5-dd07-4799-bc40-c4aaa059a4a2 · outbound

This paper cites an unresolved cited work.

Black holes as gravitational mirrors Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:59:05.903373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T22:59:05.861236Z digest=sha256:57ce857e9cb6526d51bf4fd5c535472fee12a98aadad9df99cae0943c79a03af

Pith citing papers

No inbound Pith citation observations are available.