Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-03T22:51:55.296885Z
Paper Citation Record · LEDGER
Band Width Estimates and Rigidity of Manifolds with Negative Curvature
As of 9 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2606.25132.
A citation records a reference. It does not transfer a finding from one paper to another.
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One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
43 of 43 outbound references displayed
- verified exact7
- verified fuzzy32
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4d270b6c-a724-4a9a-9e59-c25e244a7fa5 · outbound
This paper cites Andersson, M.-L.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Andersson, M.-L
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.048660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8d81f63d-8665-4fc9-82ec-30d0508431a9 · outbound
This paper cites A sharp spectral splitting theorem.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature A sharp spectral splitting theorem
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T22:59:02.691220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 135ce625-7da1-496f-a4e6-341abf0ffe97 · outbound
This paper cites Aubin,Metriques riemanniennes et courbure,J.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Aubin,Metriques riemanniennes et courbure,J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.063790Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 076ae09e-2fd1-46e2-888d-7877bac57f79 · outbound
This paper cites Bland and M.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Bland and M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.124054Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 452d4706-25d4-49c5-a802-eb313cd5002b · outbound
This paper cites an unresolved cited work.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T00:10:26.130731Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d96e2fb7-eed5-4a78-97c5-4faa18aefa79 · outbound
This paper cites Carlotto, O.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Carlotto, O
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.133362Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0eab33c1-f926-4ccd-93ca-c51228b55922 · outbound
This paper cites Cecchini,A long neck principle for Riemannian spin manifolds with positive scalar curvature,Geom.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Cecchini,A long neck principle for Riemannian spin manifolds with positive scalar curvature,Geom
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.034470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cfa4c473-2ea8-4aea-81b0-299ac3332c1d · outbound
This paper cites Scalar and mean curvature comparison via the Dirac operator.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Scalar and mean curvature comparison via the Dirac operator
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T22:59:02.679354Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation abc2e5fb-23f2-4304-8918-310303e14ee1 · outbound
This paper cites Cecchini, D.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Cecchini, D
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.073426Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 27657f60-c1b5-451a-a852-866facbef87c · outbound
This paper cites Band width estimates with lower spectral curvature bounds.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Band width estimates with lower spectral curvature bounds
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T22:59:02.675098Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c2e754fd-1f5e-4f0f-a7dc-340a6c0fc475 · outbound
This paper cites Cheeger and D.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Cheeger and D
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.099172Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7c1d81d6-3dbb-4ff1-82bc-3af572279d5a · outbound
This paper cites Chodosh, M.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Chodosh, M
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.134487Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d0cdab50-5555-4d7d-a822-79c9ddc1f733 · outbound
This paper cites Chodosh and C.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Chodosh and C
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.120729Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a530ca42-ea45-4e1a-91b7-4d38b4016cbd · outbound
This paper cites Chodosh and C.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Chodosh and C
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.127622Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 43e301f8-0c52-42c1-aa34-124e42af8d6a · outbound
This paper cites an unresolved cited work.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T00:10:26.143584Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3f9b338d-ad93-4df2-9dcb-9cd2cfd3d9a1 · outbound
This paper cites Cruz and F.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Cruz and F
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.068199Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cea610d5-9169-4084-91d2-0cc793deb35c · outbound
This paper cites Eichmair, G.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Eichmair, G
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.048445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2ea19c2c-1ad2-428f-89fc-ae3011f35a2b · outbound
This paper cites Frensel,Stable complete surfaces with constant mean curvature.Boletim da Sociedade Brasileira de Matem´ atica, 27, (1996) 129-144.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Frensel,Stable complete surfaces with constant mean curvature.Boletim da Sociedade Brasileira de Matem´ atica, 27, (1996) 129-144
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.151462Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e5f2fb32-beb5-4642-bee0-a9119f85a706 · outbound
This paper cites Gao and S.T.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Gao and S.T
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.156153Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation af530651-f7a4-4c05-bcf5-b77124d0a200 · outbound
This paper cites Giusti.Minimal surfaces and functions of bounded variation, volume 80 of Mono- graphs in Mathematics.Birkh¨ auser Verlag, Basel, 1984.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Giusti.Minimal surfaces and functions of bounded variation, volume 80 of Mono- graphs in Mathematics.Birkh¨ auser Verlag, Basel, 1984
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.118219Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c9718956-7e6f-4dcf-8e4c-1f19389e0bc7 · outbound
This paper cites Gromov,Positive curvature, macroscopic dimension, spectral gaps and higher signatures,Functional analysis on the eve of the 21st century.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Gromov,Positive curvature, macroscopic dimension, spectral gaps and higher signatures,Functional analysis on the eve of the 21st century
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.130964Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 22a14dfc-a13e-4c46-b1e4-1493b69b120e · outbound
This paper cites Gromov.Four lectures on scalar curvature.World Scientific Publishing Co.Pte.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Gromov.Four lectures on scalar curvature.World Scientific Publishing Co.Pte
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.114932Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0d1395c9-6921-4cab-9466-eeb42f4dca09 · outbound
This paper cites Gromov,Metric inequalities with scalar curvature,Geom.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Gromov,Metric inequalities with scalar curvature,Geom
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.109084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 74c3db45-f152-4a7a-bf78-efea8a435f12 · outbound
This paper cites Scalar Curvature of Manifolds with Boundaries: Natural Questions and Artificial Constructions.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Scalar Curvature of Manifolds with Boundaries: Natural Questions and Artificial Constructions
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T22:59:02.670168Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3e22b94d-1a2d-4e9b-a807-65c586e1ba3c · outbound
This paper cites Hirsch, D.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Hirsch, D
Reference 25
- Resolution
- verified exact
- doi, observed 2026-07-03T22:59:01.419289Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7cb34a8a-3fe0-4461-a8a8-fac649793a27 · outbound
This paper cites an unresolved cited work.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T00:10:26.146131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3f4dee95-4525-4d2f-992b-ca32b76181fc · outbound
This paper cites He and J.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature He and J
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.085916Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1d34c6cc-6ee5-49f9-96b0-09484cdbc3a2 · outbound
This paper cites Kazdan and F.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Kazdan and F
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.032204Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 280695c6-d75d-46ee-8df8-a103a09d4831 · outbound
This paper cites Lesourd, R.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Lesourd, R
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.153266Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 12b1ff99-b916-451e-9eb7-cb90a6f6af85 · outbound
This paper cites Lohkamp,Metrics of negative Ricci curvature, Annals of Mathematics,140 (1994), 655-683.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Lohkamp,Metrics of negative Ricci curvature, Annals of Mathematics,140 (1994), 655-683
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.121915Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c444ae19-384b-416a-88f1-02e3c3548676 · outbound
This paper cites Liu,3-manifolds with nonnegative Ricci curvature.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Liu,3-manifolds with nonnegative Ricci curvature
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.028535Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2942d985-319f-42dc-9478-e037361a5a35 · outbound
This paper cites an unresolved cited work.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T00:10:26.072507Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 888581c8-8d87-4345-9e68-e920dc0c06c5 · outbound
This paper cites Stable minimal hypersurfaces in $\mathbb R^6$.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Stable minimal hypersurfaces in $\mathbb R^6$
Reference 33
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T22:59:02.661529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 80e5e322-90c3-4e8b-817f-6a6ed867fc5c · outbound
This paper cites Nunes.Rigidity of area-minimizing hyperbolic surfaces in three-manifolds.J.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Nunes.Rigidity of area-minimizing hyperbolic surfaces in three-manifolds.J
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.030513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 05e352da-fcea-487e-8455-f1d37a0154fb · outbound
This paper cites R¨ ade.Scalar and mean curvature comparison viaµ-bubbles.Calculus of Variations and Partial Differential Equations, 62(7):187, 2023.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature R¨ ade.Scalar and mean curvature comparison viaµ-bubbles.Calculus of Variations and Partial Differential Equations, 62(7):187, 2023
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.148204Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d1fa7fba-10da-433a-b309-9c2df61bd101 · outbound
This paper cites Schoen and S-T.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Schoen and S-T
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.090643Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 962c231b-a406-497a-88fd-96d8790d63cd · outbound
This paper cites Yau,Some function-theoretic properties of complete Riemannian manifold and their applications to geometry,Indiana Univ.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Yau,Some function-theoretic properties of complete Riemannian manifold and their applications to geometry,Indiana Univ
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.094927Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 07c713c3-d75c-49a2-b0d8-b7bdfc85f2f7 · outbound
This paper cites Topology of $3$-manifolds with uniformly positive scalar curvature.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Topology of $3$-manifolds with uniformly positive scalar curvature
Reference 38
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T22:59:02.666073Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bb318a44-590a-4445-821f-8a9a251139bb · outbound
This paper cites Zeidler,Band width estimates via the Dirac operator.Journal of Differential Ge- ometry, v.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Zeidler,Band width estimates via the Dirac operator.Journal of Differential Ge- ometry, v
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.098671Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 688a8402-b8d5-424f-9b79-22012a6b853d · outbound
This paper cites Zhou and J.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Zhou and J
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.102558Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a7f0196b-2f2a-4638-a04b-0b5e37f073d8 · outbound
This paper cites Zhu.Width estimate and doubly warped product,Trans.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Zhu.Width estimate and doubly warped product,Trans
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.114940Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5beab314-c0f6-4221-bd1f-081093c6454a · outbound
This paper cites Zhu.Rigidity results for complete manifolds with nonnegative scalar curvature.J.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Zhu.Rigidity results for complete manifolds with nonnegative scalar curvature.J
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.140185Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4ace3806-bd7f-4f79-b102-ac665333e0ee · outbound
This paper cites Zhu.Calabi-Yau type theorem for complete manifolds with nonnegative scalar cur- vature.available at https: // arxiv.
Band Width Estimates and Rigidity of Manifolds with Negative Curvature Zhu.Calabi-Yau type theorem for complete manifolds with nonnegative scalar cur- vature.available at https: // arxiv
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T00:10:26.039072Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
No inbound Pith citation observations are available.