Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-26T13:40:50.326345Z
Paper Citation Record · LEDGER
$L^\infty$-metrics on tori and Schoen's conjecture
As of 5 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2606.21325.
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 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-30T14:14:49.369765Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
28 of 28 outbound references displayed
- verified exact12
- verified fuzzy0
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation fe0b74ce-5bb1-405b-ba24-adce2c586518 · outbound
This paper cites A proof for the Riemannian positive mass theorem up to dimension 19.
$L^\infty$-metrics on tori and Schoen's conjecture A proof for the Riemannian positive mass theorem up to dimension 19
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T07:09:38.178101Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d4bef1b0-48b4-4e8d-b1b4-086f606e875f · outbound
This paper cites A dimension descent scheme for the positive mass theorem in arbitrary dimension.
$L^\infty$-metrics on tori and Schoen's conjecture A dimension descent scheme for the positive mass theorem in arbitrary dimension
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-07-04T07:09:38.206030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3c78097b-e47b-4970-b946-b80bf4500111 · outbound
This paper cites Positive scalar curvature with point singularities.
$L^\infty$-metrics on tori and Schoen's conjecture Positive scalar curvature with point singularities
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T07:09:38.197392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation eb3120a4-ce70-45de-97e2-300bc25a6667 · outbound
This paper cites Llarull's theorem on punctured sphere with $L^\infty$ metric.
$L^\infty$-metrics on tori and Schoen's conjecture Llarull's theorem on punctured sphere with $L^\infty$ metric
Reference 4
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-04T07:09:38.188828Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8d80ecc6-7fbb-418d-832e-f8fbcd70e3e0 · outbound
This paper cites Positive mass theorem for asymptotically flat manifolds with isolated conical singularities.
$L^\infty$-metrics on tori and Schoen's conjecture Positive mass theorem for asymptotically flat manifolds with isolated conical singularities
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T07:09:38.201047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b3b4bb44-2885-4d5a-9310-94cef5c8a234 · outbound
This paper cites Positive mass theorem for asymptot- ically flat spin manifolds with isolated conical singularities.Trans.
$L^\infty$-metrics on tori and Schoen's conjecture Positive mass theorem for asymptot- ically flat spin manifolds with isolated conical singularities.Trans
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 88d00462-4808-43ed-ae5d-0ce87cd79c45 · outbound
This paper cites Singular metrics with nonnegative scalar curvature and RCD.
$L^\infty$-metrics on tori and Schoen's conjecture Singular metrics with nonnegative scalar curvature and RCD
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T07:09:38.180904Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3bc40a3f-757c-4109-94e7-c53056ee029c · outbound
This paper cites Curvature-dimension condition meets Gromov’sn-volumic scalar curvature.
$L^\infty$-metrics on tori and Schoen's conjecture Curvature-dimension condition meets Gromov’sn-volumic scalar curvature
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a6b31dd6-97ff-48ca-b040-33af237ef2aa · outbound
This paper cites an unresolved cited work.
$L^\infty$-metrics on tori and Schoen's conjecture Unresolved cited work
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation befb0822-c2be-42ea-986c-2c0f5586c72c · outbound
This paper cites Blaine Lawson, Jr.
$L^\infty$-metrics on tori and Schoen's conjecture Blaine Lawson, Jr
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed4115b6-8d40-4148-ae9b-dc3ff9a60290 · outbound
This paper cites Blaine Lawson, Jr.
$L^\infty$-metrics on tori and Schoen's conjecture Blaine Lawson, Jr
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 027e1846-bc96-452c-9c70-31f3983493f4 · outbound
This paper cites The Green function for uniformly elliptic equa- tions.Manuscripta Math., 37(3):303–342, 1982.
$L^\infty$-metrics on tori and Schoen's conjecture The Green function for uniformly elliptic equa- tions.Manuscripta Math., 37(3):303–342, 1982
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 284f0ef6-48db-4c5b-aae4-880f27655a4f · outbound
This paper cites American Mathematical Soc., 2011.
$L^\infty$-metrics on tori and Schoen's conjecture American Mathematical Soc., 2011
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eeaab6c8-25a5-45aa-9acc-66963fb6f1a2 · outbound
This paper cites Quantitative partitioned index theorem and noncompact band-width.
$L^\infty$-metrics on tori and Schoen's conjecture Quantitative partitioned index theorem and noncompact band-width
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T07:09:38.198456Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0d1bae2f-3f11-4091-9774-191ca7582f2e · outbound
This paper cites A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities.
$L^\infty$-metrics on tori and Schoen's conjecture A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T07:09:38.203673Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 33f5565c-719a-4643-a0c1-4c978ea5f9bd · outbound
This paper cites Desingularizing positive scalar curvature 4-manifolds.Math.
$L^\infty$-metrics on tori and Schoen's conjecture Desingularizing positive scalar curvature 4-manifolds.Math
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 69b4a5f8-feca-49c1-87d8-aeba7182f9d3 · outbound
This paper cites Positive scalar curvature with skeleton singularities.
$L^\infty$-metrics on tori and Schoen's conjecture Positive scalar curvature with skeleton singularities
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f0f410b-49cf-4e64-928a-298e7b449ac2 · outbound
This paper cites Littman, G.
$L^\infty$-metrics on tori and Schoen's conjecture Littman, G
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 896e8348-df0b-400a-923a-d200c512998a · outbound
This paper cites Schoen and S.
$L^\infty$-metrics on tori and Schoen's conjecture Schoen and S
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be314956-f566-4508-8626-481271c83f2c · outbound
This paper cites Schoen and Shing Tung Yau.
$L^\infty$-metrics on tori and Schoen's conjecture Schoen and Shing Tung Yau
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16466dab-a3f0-4277-b726-2d15e1a28bb7 · outbound
This paper cites Non-negative scalar curvature on spin surgeries and novikov conjecture.
$L^\infty$-metrics on tori and Schoen's conjecture Non-negative scalar curvature on spin surgeries and novikov conjecture
Reference 21
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T07:09:38.191267Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ea75339a-f0ce-4cab-a97f-d17e6b229a82 · outbound
This paper cites Scalar curvature rigidity of spheres with subsets removed and $L^\infty$ metrics.
$L^\infty$-metrics on tori and Schoen's conjecture Scalar curvature rigidity of spheres with subsets removed and $L^\infty$ metrics
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-07-04T07:09:38.193660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 96048b3c-b419-4077-bebd-5c9a45d66fb1 · outbound
This paper cites Scalar curvature rigidity of degenerate warped product spaces.Trans.
$L^\infty$-metrics on tori and Schoen's conjecture Scalar curvature rigidity of degenerate warped product spaces.Trans
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e36ca3df-57f7-4a04-a7bd-a75423a6b47f · outbound
This paper cites Sharp bottom spectrum and scalar curvature rigidity.
$L^\infty$-metrics on tori and Schoen's conjecture Sharp bottom spectrum and scalar curvature rigidity
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-07-04T07:09:38.195979Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 83a3e092-48b2-4c6f-8867-86a23aed9a50 · outbound
This paper cites On the generalized Geroch conjecture for complete spin manifolds.Chinese Ann.
$L^\infty$-metrics on tori and Schoen's conjecture On the generalized Geroch conjecture for complete spin manifolds.Chinese Ann
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b6afb90-d326-48fb-aa31-f479ae90d639 · outbound
This paper cites A relative higher index theorem, diffeomorphisms and positive scalar curvature.Adv.
$L^\infty$-metrics on tori and Schoen's conjecture A relative higher index theorem, diffeomorphisms and positive scalar curvature.Adv
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T13:40:50.326345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a3cfd00-9e35-4bf3-863b-992ba23a21fe · outbound
This paper cites Positive Scalar Curvature Obstructions via Singular Dimension Descent.
$L^\infty$-metrics on tori and Schoen's conjecture Positive Scalar Curvature Obstructions via Singular Dimension Descent
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-07-04T07:09:38.185990Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1189e7c4-93cd-4e2a-ac80-b2f86c974359 · outbound
This paper cites A weighted llarull type theorem and its applications.
$L^\infty$-metrics on tori and Schoen's conjecture A weighted llarull type theorem and its applications
Reference 28
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T07:09:38.192465Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Pith citing papers
Observation 723aada6-e05e-402e-bf6f-e257a82d541e · inbound
Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities cites this paper.
Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities $L^\infty$-metrics on tori and Schoen's conjecture
Reference 54
- Resolution
- unresolved
- no resolver link, observed 2026-07-12T12:41:38.689103Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1e4def5-5a72-48be-9a79-61d19c10bf89 · inbound
The positive mass theorem under a spectral scalar curvature bound on spin manifolds cites this paper.
The positive mass theorem under a spectral scalar curvature bound on spin manifolds $L^\infty$-metrics on tori and Schoen's conjecture
Reference 2019
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T14:14:49.369765Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.