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Paper Citation Record · LEDGER

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

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.

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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:14:59.963523Z digest=sha256:ebf90eb7b268a05a1b9491a46b70cfdcc45a3643b359be5964f6f4a9417eb5e6

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.017186Z digest=sha256:dce9592e5541b449b1ca0838e91509ccb902ef0553fdeccbda34e451962f54ab

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.098487Z digest=sha256:7749645beb1911b94f7814434788e30e61d5d676282e7f094ccd8bbd4d2295e7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.153517Z digest=sha256:f63b8e345333321bd4d98713f80cc56a88b779a279b5c71c1860dab33e15713a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.232867Z digest=sha256:cc820d9c548998d7540e8314ef76a2570147d27a7137c2186d4b308af9e1184a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.306469Z digest=sha256:6b85529172b62174ea4fbfc118eab5d5c08696b1358e1bf64706c2ba109c1761

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.410590Z digest=sha256:13693a9c4c20a1f3f521cceec3965c4c58a18f420352a4dd77546e0e6e1acf0c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.491316Z digest=sha256:4ff61f3ca2f6b9af42526bf8307c6e50643e833852301cb226cff915391f7506

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.537015Z digest=sha256:f7b21ae73b0abdaddc9734f678a54c6a510250e704c7648b0c4835424b02ef14

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=sha256:9df1975d081ee69d03a4619fd1cb75f31e47720c36de02bc967541ed506c0aa5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.683860Z digest=sha256:614f7657ebbad1ab4e56a325931617708c1c1e2c42f111aebcc60640716bcc5f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.735257Z digest=sha256:00cbba6e5c7f58f1234a544cc1ad46bfa08b651983065201615ff0b639340551

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.801533Z digest=sha256:72e1c54828bbf8e108deda03855cd34cc370aef8316f9f4e6660c03ecc7f59a4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.867012Z digest=sha256:38ada7ce10100b5f2c637b80be77ea235397c23ee559a59aa9a0669b5b92f900

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:00.939560Z digest=sha256:6c95b8a74c32744d57fb5a6f804c14c0d50e8349cd613f7c983b2c8dc7bee9b3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:01.028757Z digest=sha256:27ecb719e792853faf626a438c1cac5487fc7150a18a6e195ed8a9cc20db37c1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:01.111747Z digest=sha256:c4afd1dc2e6894002d50a1b633462021d37fb13ca5d0aa617ac3483f9cd5bc0d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:01.203457Z digest=sha256:9ddc38a3d110db3b149ff7a1e439178d7a76fa3aa79da4fdf1e7b4920b5c1568

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:01.255568Z digest=sha256:d1033e2fd8fdf02762af4e387cc1117c609e32067b7b4e7c5b9a8d3cd22e978c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:01.318238Z digest=sha256:e8ea37fb1a57d4fef12aa4fc8afd9e48de52afe5cc25e0f5b66d526137ecdc66

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:01.391787Z digest=sha256:3d615e6d4207618e099ee8e2775d594b9871f16ba9403beead7a8dfc8a244841

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:01.473707Z digest=sha256:6258231e31142ef15810e10c4bef232d66652e66ffc9abd0d228d072cdee63ca

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:01.561822Z digest=sha256:a11f366e80803649cb7dc90fd578312dc6751bbf875d79b0a2ec64cbb46ee097

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:01.643530Z digest=sha256:0e7117a2bcd192049047e737927ad2ece4f1dde6220dd95ed30d00b59cfb1736

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:15:01.710132Z digest=sha256:1fab73e38cc09491d6840fa877af4db32ad07be10eb4dc6b3d370f5b65c0c4c2

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T16:43:11.297905Z digest=sha256:53bf14548df816706b3c786a63cdf05e992a5e94825633a042ed3aedf75fee57