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Paper Citation Record · LEDGER

Area-charge inequality and local rigidity in charged initial data sets

As of 12 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.

pith.paper-citation-record.v1
2505.20060 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:15:01.710132Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:43:11.297905Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T16:43:11.419048Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy20
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 08e271d2-5073-4959-b73e-ac3ca54a45ef · outbound

This paper cites Geometric inequalities for quasi-local masses.

Area-charge inequality and local rigidity in charged initial data sets Geometric inequalities for quasi-local masses

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:06.691326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:14:59.963523Z digest=sha256:509c841a541ce3b87b00b19f3b7849eaf22654bb7117689b6b1a03c2d9a254b4

Observation 2162071a-ce80-4008-8e11-aaecc668e234 · outbound

This paper cites Galloway.

Area-charge inequality and local rigidity in charged initial data sets Galloway

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:06.432665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.017186Z digest=sha256:49305be5c72de8ebfc8bf2e0c903f605e9955c766a30c3d40d802d0eec3be3f4

Observation f70d6293-665c-490f-9a9f-c9d6d8aa5a5c · outbound

This paper cites Local existence of dynamical and trapping horizons.

Area-charge inequality and local rigidity in charged initial data sets Local existence of dynamical and trapping horizons

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:06.147572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.098487Z digest=sha256:66b76ed858956b53a2ff5c396cdf24d5680c4d80434511d67701fff8491b77c0

Observation 4e1bb74b-dbd5-453f-8ee4-9cd2b2a340cd · outbound

This paper cites Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes.Adv.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:05.931867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.153517Z digest=sha256:b8100dc7e1e8b973b828f987d765897be4b4100cb57b7e627f53fbc0bce2074b

Observation cccb2164-952c-4fa6-8e7b-f8ff311d02d9 · outbound

This paper cites Rigidity of area-minimizing two-spheres in three-manifolds.

Area-charge inequality and local rigidity in charged initial data sets Rigidity of area-minimizing two-spheres in three-manifolds

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:05.747550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.232867Z digest=sha256:a3e2d02650b6aa7853fbae3fad487526a2aaea43fcba5c03af93f5026bcfd7b0

Observation ebaac010-c584-40a1-ba95-dc60cf0be0c6 · outbound

This paper cites Bryden and Marcus A.

Area-charge inequality and local rigidity in charged initial data sets Bryden and Marcus A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:05.561677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.306469Z digest=sha256:dfebc64f02d2654d7f332f4e60e4dfe2a3155c6acab092f01e27c3035a121078

Observation 47090f5f-78b8-4aec-94dc-9ac4efca3851 · outbound

This paper cites an unresolved cited work.

Area-charge inequality and local rigidity in charged initial data sets Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:15:05.372753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.410590Z digest=sha256:fa68f9e141e8498bd2ba6db14fedb4ec2280f9ea3ddcb3a56636411c546d1606

Observation 835d0c96-7f51-49c5-9393-7c1120700b63 · outbound

This paper cites Min-max minimal surfaces, horizons and electrostatic systems.J.

Area-charge inequality and local rigidity in charged initial data sets Min-max minimal surfaces, horizons and electrostatic systems.J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:05.125842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.491316Z digest=sha256:dd8114d6599f142dff7b90219f950f73ddacc7a4222a4a5e762903f2921472b1

Observation 2d18a933-10e0-4b67-864a-a2ddf5397093 · outbound

This paper cites Area-charge inequality for black holes.

Area-charge inequality and local rigidity in charged initial data sets Area-charge inequality for black holes

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:04.986648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.537015Z digest=sha256:b006e9d0330948ab43a2119644743de8fda0605844791522960fc48d6a479e46

Observation 11ece446-55c1-4abb-80e5-ed7ab9b81092 · outbound

This paper cites Rigidity results for free boundary hypersurfaces in initial data sets with boundary.

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

Resolution
unresolved
no resolver link, observed 2026-08-07T14:15:00.590829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:15:00.590829Z digest=sha256:625156c250965d0eff82080dc2f9c447b92d96cc79d29362fd70c4118461903f

Observation 2806ba28-f2e3-4cd5-a960-c53ccb845a32 · outbound

This paper cites Galloway, and Abraão Mendes.

Area-charge inequality and local rigidity in charged initial data sets Galloway, and Abraão Mendes

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:04.730163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.683860Z digest=sha256:4c697098f44ca31b03af652ddaca7d60c18fe98b3a44fa6c66a83115b616fee7

Observation 53c1cdc2-a277-453c-8da1-510dc74fa599 · outbound

This paper cites Galloway.

Area-charge inequality and local rigidity in charged initial data sets Galloway

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:04.505347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.735257Z digest=sha256:cab2e839a394f789c1dbe6c101ee6d1321d1d6857b64a2fefdcd0526bdd074cb

Observation 82d1bf5e-ca86-4676-82f2-63a44284ed36 · outbound

This paper cites Galloway.

Area-charge inequality and local rigidity in charged initial data sets Galloway

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:04.304395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.801533Z digest=sha256:5dc78fd81781fe506447bfa856e9785bb782a5158140c390e66421af0ecec4e1

Observation 38a5e0ca-514d-49f9-87ae-962c4a2343c6 · outbound

This paper cites Galloway and Abraão Mendes.

Area-charge inequality and local rigidity in charged initial data sets Galloway and Abraão Mendes

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:04.067992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.867012Z digest=sha256:3b14590ded790210c02cf55d1e9225f247d087d1542e8ba70b1f5274775a45f7

Observation 9ba82951-0547-47d7-ad5d-cec42ddd9956 · outbound

This paper cites Galloway and Abraão Mendes.

Area-charge inequality and local rigidity in charged initial data sets Galloway and Abraão Mendes

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:03.848832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:00.939560Z digest=sha256:2ede925034e92ce2043bfbbab7a4c8ce042e8c9bbf8cc318c983f3506afd52ef

Observation d76e5aca-5327-4f50-bc81-670c9a76dbea · outbound

This paper cites Galloway and Richard Schoen.

Area-charge inequality and local rigidity in charged initial data sets Galloway and Richard Schoen

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:03.669930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:01.028757Z digest=sha256:9f047417dd7a5485dc684722d549c8e11f6c218cc1bba55b7116d41eebcf9efd

Observation a74aa881-14d1-46d1-8b76-eddf162a5750 · outbound

This paper cites an unresolved cited work.

Area-charge inequality and local rigidity in charged initial data sets Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:15:03.452577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:01.111747Z digest=sha256:33fa54a173637e01dd430f05d4178f534cd2db95fcdce7af87914d69ecc50dc9

Observation f0f78386-5cac-404d-b1db-9b6fc5583eab · outbound

This paper cites Proof of the Riemannian Penrose inequality with charge for multiple black holes.J.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:03.243597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:01.203457Z digest=sha256:c71a6f66ebc8cf1f31ab8be123f09c8924e3a7686109368ab38342707e884705

Observation 8e19c146-6939-485a-86fc-bb6d7fb8a663 · outbound

This paper cites an unresolved cited work.

Area-charge inequality and local rigidity in charged initial data sets Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:15:03.041622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:01.255568Z digest=sha256:3b3ef5179a0d36ae966e77e9f9042df1425ec39065c4ee5210de99786b72ea43

Observation e98b997b-8947-47c7-8eb0-e3fe5b3dcb3b · outbound

This paper cites an unresolved cited work.

Area-charge inequality and local rigidity in charged initial data sets Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:15:02.826072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:01.318238Z digest=sha256:016d8b461682e1454e875ff7ed38a41337213d583d2ffd9f533f36296f57f151

Observation 5c116cf5-09f2-4584-a3ad-1aa6359537dd · outbound

This paper cites Rigidity of marginally outer trapped (hyper)surfaces with negative σ- constant.

Area-charge inequality and local rigidity in charged initial data sets Rigidity of marginally outer trapped (hyper)surfaces with negative σ- constant

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:02.650141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:01.391787Z digest=sha256:6e8355a5fdb9cda23a9f5e0996cfaf22b4373f0cecbe71ca59f343f8688e112e

Observation 9f96d903-3ac6-466a-ac86-9526c1d407ac · outbound

This paper cites Rigidity of free boundary MOTS.Nonlinear Anal., Theory Methods Appl., Ser.

Area-charge inequality and local rigidity in charged initial data sets Rigidity of free boundary MOTS.Nonlinear Anal., Theory Methods Appl., Ser

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:02.461733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:01.473707Z digest=sha256:3f5b3926572671d8f393b9f3f86dcfb39b88e93f4c41c4163cd919f16e2532d0

Observation 87d4b89f-d7f1-4ad1-9e23-1a97b145e23a · outbound

This paper cites Splitting of 3-manifolds and rigidity of area-minimising surfaces.

Area-charge inequality and local rigidity in charged initial data sets Splitting of 3-manifolds and rigidity of area-minimising surfaces

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:02.285667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:01.561822Z digest=sha256:b09d754d210d7177ca408aa8f5b873139deabaca0ce0598a096ab282e5a6b788

Observation ef3d7058-b831-4451-a2d1-e747f7c001e5 · outbound

This paper cites Rigidity of area-minimizing hyperbolic surfaces in three-manifolds.J.

Area-charge inequality and local rigidity in charged initial data sets Rigidity of area-minimizing hyperbolic surfaces in three-manifolds.J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:02.085101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:01.643530Z digest=sha256:911169599ebff01f907c0eac03a2c9166e9e0bd3143f93f16777983f47f1216a

Observation 581f1673-3e38-4623-9fde-2b2c99850ae1 · outbound

This paper cites On a Penrose inequality with charge.Commun.

Area-charge inequality and local rigidity in charged initial data sets On a Penrose inequality with charge.Commun

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:15:01.913376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T14:15:01.710132Z digest=sha256:7f401ae88fd6ae2c5617da2b87d3f0778aee9aafd63bccc0acc6103958a05549

Pith citing papers

Observation a2adf8bc-c897-4ef3-b53e-f1333c33eb95 · inbound

Area-charge inequalities and rigidity of time-symmetric initial data sets cites this paper.

Area-charge inequalities and rigidity of time-symmetric initial data sets Area-charge inequality and local rigidity in charged initial data sets

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:43:11.426638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:43:11.297905Z digest=sha256:48b938f0988608ff1015fc7992cb5fa804c674a25a5f4a456b75f70ec041792e