Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:43:11.341021Z
Paper Citation Record · LEDGER
Area-charge inequalities and rigidity of time-symmetric initial data sets
As of 21 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2507.13040.
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 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-26T11:16:46.785840Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T08:39:42.065235Z
Reference resolution
38 of 38 outbound references displayed
- verified exact1
- verified fuzzy17
- unresolved20
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 46558aea-76f2-4538-a0d6-24bbd14abf95 · outbound
This paper cites Galloway, Rigidity and positivity of mass for asymptotically hyperbolic manifolds , Ann.
Area-charge inequalities and rigidity of time-symmetric initial data sets Galloway, Rigidity and positivity of mass for asymptotically hyperbolic manifolds , Ann
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:12.014424Z
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 42e267bd-b5a0-4899-aa62-06e95ff1f8c7 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.993501Z
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 3e60ee21-f4c9-49ed-8d49-c742b09579b9 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.974835Z
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 2650d3e9-f201-4619-b909-c6443b0993a7 · outbound
This paper cites Galloway, Rigidity of area minimizing tori in 3- manifolds of nonnegative scalar curvature , Commun.
Area-charge inequalities and rigidity of time-symmetric initial data sets Galloway, Rigidity of area minimizing tori in 3- manifolds of nonnegative scalar curvature , Commun
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.956756Z
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 aa968746-1300-4f0e-93e0-86b4dfb981d6 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.940884Z
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 b5234d6c-a895-4ff9-aadf-20262f2f10bc · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.926026Z
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 7ded0607-d780-4138-be10-696cf09fe301 · outbound
This paper cites Pure Appl.
Area-charge inequalities and rigidity of time-symmetric initial data sets Pure Appl
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.911364Z
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 0581369a-b9c4-45e8-a300-b4e16f66c3ae · outbound
This paper cites Pi 11 (2023), 22 (English), Id/No e3.
Area-charge inequalities and rigidity of time-symmetric initial data sets Pi 11 (2023), 22 (English), Id/No e3
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.895864Z
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 67821d4f-6a35-4b4c-90df-243fe3c22438 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.877750Z
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 5af5e468-d8de-4060-bb30-706e81b0d853 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.859765Z
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 b8456b49-13e0-4b55-9b7a-3f5fe0e82205 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.845291Z
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 1c82c3d8-767a-4be4-8fea-ce1f30a4509b · outbound
This paper cites 3, 15 (English), Id/No 035013.
Area-charge inequalities and rigidity of time-symmetric initial data sets 3, 15 (English), Id/No 035013
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.827876Z
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 f1d29734-9726-475a-b172-1c7312b2abd3 · outbound
This paper cites Wiss., vol.
Area-charge inequalities and rigidity of time-symmetric initial data sets Wiss., vol
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.812789Z
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 0d0df428-6e16-4eca-b5f3-5de7bf5ff05a · outbound
This paper cites Galloway and Abra˜ ao Mendes,Some rigidity results for charged initial data sets, Nonlinear Anal., Theory Methods Appl., Ser.
Area-charge inequalities and rigidity of time-symmetric initial data sets Galloway and Abra˜ ao Mendes,Some rigidity results for charged initial data sets, Nonlinear Anal., Theory Methods Appl., Ser
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.796074Z
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 c7d245e0-1e21-47c5-8579-301ea2831917 · outbound
This paper cites Gibbons, Some comments on gravitational entropy and the inverse mean curvature flow, Classical Quantum Gravity 16 (1999), no.
Area-charge inequalities and rigidity of time-symmetric initial data sets Gibbons, Some comments on gravitational entropy and the inverse mean curvature flow, Classical Quantum Gravity 16 (1999), no
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.780620Z
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 732d0d8f-675f-4dec-ac69-808fd58ed02d · outbound
This paper cites Math., Basel, vol.
Area-charge inequalities and rigidity of time-symmetric initial data sets Math., Basel, vol
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.763069Z
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 80d45181-fbea-4879-a3bd-6fc567394779 · outbound
This paper cites Blaine Lawson, Jr., Positive scalar curvature and the Dirac operator on complete Riemannian manifolds , Publ.
Area-charge inequalities and rigidity of time-symmetric initial data sets Blaine Lawson, Jr., Positive scalar curvature and the Dirac operator on complete Riemannian manifolds , Publ
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.748540Z
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 84e33299-5a6d-4e8d-9005-0f2dd8311cf2 · outbound
This paper cites Volume II.
Area-charge inequalities and rigidity of time-symmetric initial data sets Volume II
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.732486Z
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 f3b76500-2815-4725-b2e5-848827dcda39 · outbound
This paper cites No metrics with Positive Scalar Curvatures on Aspherical 5-Manifolds.
Area-charge inequalities and rigidity of time-symmetric initial data sets No metrics with Positive Scalar Curvatures on Aspherical 5-Manifolds
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:43:11.248036Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e8a38516-1386-4730-851f-f303d35c59a5 · outbound
This paper cites In 2 vol- umes, Singapore: World Scientific, 2023, pp.
Area-charge inequalities and rigidity of time-symmetric initial data sets In 2 vol- umes, Singapore: World Scientific, 2023, pp
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.716787Z
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 3bf621b3-7124-4890-9f38-96568d187f1d · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.698874Z
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 e155ca7b-3e44-457f-b030-56850ddadcc0 · outbound
This paper cites Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Cetraro, Italy, June 15–22, 1996, Berlin: Springer, 1999, pp.
Area-charge inequalities and rigidity of time-symmetric initial data sets Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Cetraro, Italy, June 15–22, 1996, Berlin: Springer, 1999, pp
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.681882Z
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 4e5fc9a5-a0b7-49a2-aef5-d6a129041864 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.663292Z
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 67d5bf2f-f993-43f6-9033-0436a0162fee · outbound
This paper cites Lima, Paulo A.
Area-charge inequalities and rigidity of time-symmetric initial data sets Lima, Paulo A
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.646432Z
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 001ebe65-71f6-47db-9647-1f023d3510e2 · outbound
This paper cites Marques and Andr´ e Neves,Rigidity of min-max minimal spheres in three- manifolds, Duke Math.
Area-charge inequalities and rigidity of time-symmetric initial data sets Marques and Andr´ e Neves,Rigidity of min-max minimal spheres in three- manifolds, Duke Math
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.631253Z
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 20dc7366-a05c-41b1-9cf9-d999fc77fc06 · outbound
This paper cites Stable minimal hypersurfaces in $\mathbb R^6$.
Area-charge inequalities and rigidity of time-symmetric initial data sets Stable minimal hypersurfaces in $\mathbb R^6$
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:43:11.284139Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27e61b62-ccbb-4eb6-8fab-34d5183ddfa5 · outbound
This paper cites Meeks III, Leon Simon, and Shing-Tung Yau, Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature, Ann.
Area-charge inequalities and rigidity of time-symmetric initial data sets Meeks III, Leon Simon, and Shing-Tung Yau, Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature, Ann
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.615125Z
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 86401876-f6c6-47d6-bd5f-77203367ae0e · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.595673Z
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 a2adf8bc-c897-4ef3-b53e-f1333c33eb95 · outbound
This paper cites Area-charge inequality and local rigidity in charged initial data sets.
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 2026-08-21T06:32:19.484+00:00.
Observation 949d1428-c84a-4fe7-b97f-c70126c808a8 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.579653Z
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 53478535-0f6d-4a25-95e1-8f0487fcb352 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.560656Z
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 1eef185f-52c8-45bd-a590-75473af02fd3 · outbound
This paper cites 6, 5 (English), Id/No 062001.
Area-charge inequalities and rigidity of time-symmetric initial data sets 6, 5 (English), Id/No 062001
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:43:11.542410Z
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 a93c2c1f-6379-46ba-9a57-b6775a7dcefa · outbound
This paper cites Topology of $3$-manifolds with uniformly positive scalar curvature.
Area-charge inequalities and rigidity of time-symmetric initial data sets Topology of $3$-manifolds with uniformly positive scalar curvature
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:43:11.317887Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b9a2417-8340-40bf-a5bb-dcc172e77832 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.526136Z
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 c84768f6-e5dc-4eb7-baa2-0c5c339956f8 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.510010Z
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 16e2bb6f-ec41-40cf-a32e-1a71443ed65c · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.493925Z
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 554e12c6-5dfa-48f8-aed9-7fbf131996e4 · outbound
This paper cites Calabi-Yau type theorem for complete manifolds with nonnegative scalar curvature.
Area-charge inequalities and rigidity of time-symmetric initial data sets Calabi-Yau type theorem for complete manifolds with nonnegative scalar curvature
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:43:11.336389Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ee6013f-5d62-40a1-984e-30fc24387a92 · outbound
This paper cites an unresolved cited work.
Area-charge inequalities and rigidity of time-symmetric initial data sets Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:43:11.477275Z
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
Observation a1eac3d0-e67c-4c5f-8a9b-5c22e6dee966 · inbound
Area-charge inequalities and local rigidity of free boundary MOTS in charged initial data sets cites this paper.
Area-charge inequalities and local rigidity of free boundary MOTS in charged initial data sets Area-charge inequalities and rigidity of time-symmetric initial data sets
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T08:39:42.066575Z
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.