Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T14:15:01.710132Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2505.20060.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T14:15:01.710132Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:43:11.297905Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T16:43:11.419048Z
25 of 25 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 08e271d2-5073-4959-b73e-ac3ca54a45ef · outbound
Area-charge inequality and local rigidity in charged initial data sets Geometric inequalities for quasi-local masses
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2162071a-ce80-4008-8e11-aaecc668e234 · outbound
Area-charge inequality and local rigidity in charged initial data sets Galloway
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f70d6293-665c-490f-9a9f-c9d6d8aa5a5c · outbound
Area-charge inequality and local rigidity in charged initial data sets Local existence of dynamical and trapping horizons
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4e1bb74b-dbd5-453f-8ee4-9cd2b2a340cd · outbound
Area-charge inequality and local rigidity in charged initial data sets Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes.Adv
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cccb2164-952c-4fa6-8e7b-f8ff311d02d9 · outbound
Area-charge inequality and local rigidity in charged initial data sets Rigidity of area-minimizing two-spheres in three-manifolds
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ebaac010-c584-40a1-ba95-dc60cf0be0c6 · outbound
Area-charge inequality and local rigidity in charged initial data sets Bryden and Marcus A
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 47090f5f-78b8-4aec-94dc-9ac4efca3851 · outbound
Area-charge inequality and local rigidity in charged initial data sets Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 835d0c96-7f51-49c5-9393-7c1120700b63 · outbound
Area-charge inequality and local rigidity in charged initial data sets Min-max minimal surfaces, horizons and electrostatic systems.J
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2d18a933-10e0-4b67-864a-a2ddf5397093 · outbound
Area-charge inequality and local rigidity in charged initial data sets Area-charge inequality for black holes
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 11ece446-55c1-4abb-80e5-ed7ab9b81092 · outbound
Area-charge inequality and local rigidity in charged initial data sets Rigidity results for free boundary hypersurfaces in initial data sets with boundary
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2806ba28-f2e3-4cd5-a960-c53ccb845a32 · outbound
Area-charge inequality and local rigidity in charged initial data sets Galloway, and Abraão Mendes
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 53c1cdc2-a277-453c-8da1-510dc74fa599 · outbound
Area-charge inequality and local rigidity in charged initial data sets Galloway
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 82d1bf5e-ca86-4676-82f2-63a44284ed36 · outbound
Area-charge inequality and local rigidity in charged initial data sets Galloway
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 38a5e0ca-514d-49f9-87ae-962c4a2343c6 · outbound
Area-charge inequality and local rigidity in charged initial data sets Galloway and Abraão Mendes
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9ba82951-0547-47d7-ad5d-cec42ddd9956 · outbound
Area-charge inequality and local rigidity in charged initial data sets Galloway and Abraão Mendes
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d76e5aca-5327-4f50-bc81-670c9a76dbea · outbound
Area-charge inequality and local rigidity in charged initial data sets Galloway and Richard Schoen
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a74aa881-14d1-46d1-8b76-eddf162a5750 · outbound
Area-charge inequality and local rigidity in charged initial data sets Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f0f78386-5cac-404d-b1db-9b6fc5583eab · outbound
Area-charge inequality and local rigidity in charged initial data sets Proof of the Riemannian Penrose inequality with charge for multiple black holes.J
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8e19c146-6939-485a-86fc-bb6d7fb8a663 · outbound
Area-charge inequality and local rigidity in charged initial data sets Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e98b997b-8947-47c7-8eb0-e3fe5b3dcb3b · outbound
Area-charge inequality and local rigidity in charged initial data sets Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5c116cf5-09f2-4584-a3ad-1aa6359537dd · outbound
Area-charge inequality and local rigidity in charged initial data sets Rigidity of marginally outer trapped (hyper)surfaces with negative σ- constant
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9f96d903-3ac6-466a-ac86-9526c1d407ac · outbound
Area-charge inequality and local rigidity in charged initial data sets Rigidity of free boundary MOTS.Nonlinear Anal., Theory Methods Appl., Ser
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 87d4b89f-d7f1-4ad1-9e23-1a97b145e23a · outbound
Area-charge inequality and local rigidity in charged initial data sets Splitting of 3-manifolds and rigidity of area-minimising surfaces
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ef3d7058-b831-4451-a2d1-e747f7c001e5 · outbound
Area-charge inequality and local rigidity in charged initial data sets Rigidity of area-minimizing hyperbolic surfaces in three-manifolds.J
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 581f1673-3e38-4623-9fde-2b2c99850ae1 · outbound
Area-charge inequality and local rigidity in charged initial data sets On a Penrose inequality with charge.Commun
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a2adf8bc-c897-4ef3-b53e-f1333c33eb95 · inbound
Area-charge inequalities and rigidity of time-symmetric initial data sets Area-charge inequality and local rigidity in charged initial data sets
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.