Paper Citation Record · LEDGER

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations

As of 21 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2506.15763.

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

pith.paper-citation-record.v1
2506.15763 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:43:53.404998Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

43 of 43 outbound references displayed

verified exact0
verified fuzzy25
unresolved17
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2400ce6e-fa62-442c-b7c5-e0f01f7f2fce · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.915257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b7568b02-47fe-42e7-a382-9aa4d8d7768c · outbound

This paper cites GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-15T19:43:53.246347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a73b310d-af02-476c-a5b1-8705ddfdcbe2 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.903658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5ff64592-4aa9-4945-be8d-778cb863fb40 · outbound

This paper cites Lovelock, The Einstein Tensor and Its Generalizations, J.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Lovelock, The Einstein Tensor and Its Generalizations, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.893071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1648bc68-0bb1-4e93-ad3f-8724f955ef5a · outbound

This paper cites Babichev, C.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Babichev, C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.882545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7b9252b4-3bd6-4fc6-8a0c-cedc541ede43 · outbound

This paper cites Minamitsuji, K.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Minamitsuji, K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.872749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dc6432e7-5388-4c07-a53f-dc1e655d6469 · outbound

This paper cites Bakopoulos, N.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Bakopoulos, N

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.861354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 67fa3f10-6759-4cf9-aba9-8836b486c3b8 · outbound

This paper cites Baake, A.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Baake, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.850729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6e439e09-610b-408b-8635-40111f8d6d60 · outbound

This paper cites Bakopoulos, C.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Bakopoulos, C

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.840577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 389b6256-bd8c-48c7-9828-a65722ac6278 · outbound

This paper cites Babichev, C.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Babichev, C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.828507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9172eba7-0bc7-41dd-b1bf-74cba05f0583 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.818080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c09f5c21-f2ff-474a-b9a1-e8403eea1745 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.807140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 66d277ef-4afa-4519-ac9f-54c05f4e11a4 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.795804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0ca742f7-0ad5-4d89-b0e5-9a4d1df37fc7 · outbound

This paper cites Bakopoulos, T.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Bakopoulos, T

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.784938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 331c1b67-64e7-4b20-9d17-ec2da1434124 · outbound

This paper cites Charmousis, M.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Charmousis, M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.774237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c4ddb04a-ff46-499f-a965-d4c3531303bb · outbound

This paper cites Mironov, V.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Mironov, V

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.763186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 619f2873-2a56-4463-a640-aff6f02f2574 · outbound

This paper cites Chatzifotis, E.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Chatzifotis, E

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.752293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d33bd5eb-e24e-4906-b753-2e7c2070dc68 · outbound

This paper cites Vlachos, E.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Vlachos, E

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.741958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cb1a179e-0f54-4343-b1ef-44f85cfa1096 · outbound

This paper cites Brihaye and Y.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Brihaye and Y

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.731393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 33f679a9-1438-48f9-81b5-ba5a8a304a1e · outbound

This paper cites Cardoso, E.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Cardoso, E

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.720238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9737d96e-b59c-46d9-82be-dd24a5a78006 · outbound

This paper cites Tidal Love Numbers of Neutron Stars in Horndeski Theories.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Tidal Love Numbers of Neutron Stars in Horndeski Theories

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T19:43:53.321009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c630df7f-427a-4c2a-b76a-49620bae0a01 · outbound

This paper cites Sekhmani, S.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Sekhmani, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.708537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d8b7545c-a588-461d-bbdc-3c443847f282 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.697418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ff9c4618-3b26-45bb-9a20-a02976c9c612 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.686366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3dab7122-9d68-4c9c-b99f-019f3af30f27 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.676078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 21b09373-6897-4397-a9bc-2f56c3c2d523 · outbound

This paper cites Kobayashi, Horndeski theory and beyond: a review, Rep.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Kobayashi, Horndeski theory and beyond: a review, Rep

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.664953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eb7963dd-d348-4032-87f0-d612aadc96ce · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.652783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4673fead-d6bb-413e-a3d5-a07192503fd9 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.642200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2295b0b3-50a7-4d5f-ad5a-781a0f5e807f · outbound

This paper cites Akiyama, A.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Akiyama, A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.629958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 309da950-f3ad-4653-91be-0d9b9e0ba8a9 · outbound

This paper cites Perlick and O.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Perlick and O

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.616589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b916f31e-038e-4b91-adaf-55225ac84a27 · outbound

This paper cites Vagnozzi, R.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Vagnozzi, R

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.603132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0f41e246-f224-479d-8914-be7f328bbb33 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.591101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 76e8c75f-32c4-4892-8c81-51b51ee65719 · outbound

This paper cites Abuter, A.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Abuter, A

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.578777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e086d72b-3aea-4da2-9262-c58f29b28c41 · outbound

This paper cites Fernando and J.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Fernando and J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.566649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dd583dca-51b8-4ac4-9edf-2959db504f6d · outbound

This paper cites Jusufi, Quasinormal modes of black holes surrounded by dark matter and their connection with the shadow ra- dius, Phys.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Jusufi, Quasinormal modes of black holes surrounded by dark matter and their connection with the shadow ra- dius, Phys

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.554359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 856629c8-afb5-4b23-b269-79b5d752520f · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.542456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a10cc8ca-420a-4a11-a4e0-11d5ddaa76fa · outbound

This paper cites Zettili, Quantum Mechanics: Concepts and Applications, 3rd Edition (2022).

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Zettili, Quantum Mechanics: Concepts and Applications, 3rd Edition (2022)

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.531050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 642abf25-e720-435c-b6ac-c8f842371e1f · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.518806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1abb8462-9cb6-4d29-b64f-6e9a5542ab7e · outbound

This paper cites Iyer, Black-hole normal modes: A WKB approach.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Iyer, Black-hole normal modes: A WKB approach

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.506181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 12275704-b2cc-426d-ae3f-f1b42654d340 · outbound

This paper cites Iyer and C.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Iyer and C

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:43:53.492722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f800af6d-2540-4d47-b6f9-930861bba773 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.481754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 47e0eec8-e443-4fc6-8700-1d5b0dc1cbc4 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.470907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 025cd287-6052-4d40-97a0-23f1badfe6d6 · outbound

This paper cites an unresolved cited work.

Dark Matter Surrounded Quartic Square-root Horndeski Black Hole: Thermodynamics, Optical Properties and Quasinormal Oscillations Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:43:53.459274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.