Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2507.08431.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T03:36:03.463558Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-30T23:05:07.490164Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 78db7b86-add9-4456-b562-8b81f0d895ac · inbound
Boundary-only weak deflection angles from isothermal optical geometry cites this paper.
Boundary-only weak deflection angles from isothermal optical geometry Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 51
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T15:43:03.450130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 1d20759b-742f-4a8f-a6c8-bac629341704 · inbound
Shadow signatures and energy accumulation in Lorentzian-Euclidean black holes cites this paper.
Shadow signatures and energy accumulation in Lorentzian-Euclidean black holes Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 49
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T13:37:57.267803Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 857940ac-2e51-44d1-b982-dfd223c34ae6 · inbound
Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model cites this paper.
Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-07-15T12:04:34.107907Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 68d8d24d-6ea1-4c23-9af5-e3bea5241fae · inbound
Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter cites this paper.
Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T10:06:02.101466Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation a7f7e8ba-88d1-4eaa-92af-f60e8482596a · inbound
Energy conditions in static, spherically symmetric spacetimes and effective geometries cites this paper.
Energy conditions in static, spherically symmetric spacetimes and effective geometries Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 71
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T08:32:51.773489Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 6e0b1dcd-e0b5-4353-8b79-a74ff926123b · inbound
Photon Spheres and shadow of modified black-hole entropies cites this paper.
Photon Spheres and shadow of modified black-hole entropies Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T16:01:06.098747Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 59514115-125f-43c0-92b3-86cb1ce37479 · inbound
Photon Spheres and shadow of modified black-hole entropies cites this paper.
Photon Spheres and shadow of modified black-hole entropies Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T07:51:27.857071Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation b69c9217-3bd5-4eb7-8bdc-d1318e6da554 · inbound
Photon Spheres and shadow of modified black-hole entropies cites this paper.
Photon Spheres and shadow of modified black-hole entropies Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T21:39:28.996725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 7bd87809-ad4d-46bb-9957-7574cfeee005 · inbound
Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity cites this paper.
Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 28
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T23:09:12.656262Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation d61eae0e-f480-4e20-ad92-5eb32d2e127e · inbound
Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity cites this paper.
Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 35
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T23:05:07.492077Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 55d099ee-1655-4fff-b3bf-97e83e47185f · inbound
Regular black hole solutions and the quark chemical potential at the QCD phase transition cites this paper.
Regular black hole solutions and the quark chemical potential at the QCD phase transition Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 24
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T16:13:36.472346Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 3d2e94ac-72c5-473d-a151-13e1b468c1ee · inbound
Evaporating cosmologically coupled black holes cites this paper.
Evaporating cosmologically coupled black holes Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
Reference 190
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T03:36:03.463558Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.