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Paper Citation Record · LEDGER

The positive mass theorem under a spectral scalar curvature bound on spin manifolds

As of 13 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2607.27007.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.27007 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-30T14:14:49.369765Z

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

4 of 4 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 89156937-d2ba-4440-bb19-d8575e47a581 · outbound

This paper cites Geometric Rigidity via Almost-Harmonic Twisted Spinors.

The positive mass theorem under a spectral scalar curvature bound on spin manifolds Geometric Rigidity via Almost-Harmonic Twisted Spinors

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-30T14:14:49.353323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T14:14:49.353323Z digest=sha256:089b046802e47efa4dcd736c47de97b1e5826d6fcd622b27287cb70b31a496a3

Observation 67b5202f-8693-4dcd-bbbd-42a871d70fbf · outbound

This paper cites Davaux,An optimal inequality between scalar curvature and spectrum of the Laplacian, Math.

The positive mass theorem under a spectral scalar curvature bound on spin manifolds Davaux,An optimal inequality between scalar curvature and spectrum of the Laplacian, Math

Reference 31

Resolution
unresolved
no resolver link, observed 2026-07-30T14:14:49.359409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T14:14:49.359409Z digest=sha256:0fc286169474221fb846e031a88a51a4dcfbd33e2db8f873c94b7a03bbed7b93

Observation 99759380-d4d3-43ae-83a8-8b1cc4a27e44 · outbound

This paper cites MR1814364↑6 [Lee19] D.

The positive mass theorem under a spectral scalar curvature bound on spin manifolds MR1814364↑6 [Lee19] D

Reference 2001

Resolution
unresolved
no resolver link, observed 2026-07-30T14:14:49.364526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T14:14:49.364526Z digest=sha256:de155a23cf76260318485c0f88e63ef44a9f6e870b8d37cc578ecb1a749b4c12

Observation d1e4def5-5a72-48be-9a79-61d19c10bf89 · outbound

This paper cites $L^\infty$-metrics on tori and Schoen's conjecture.

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.

source=pdf_text observed=2026-07-30T14:14:49.369765Z digest=sha256:0a5d768ce380e0afe57b99c7278e4088ba1eeae9f6aa5757434699d013065d57

Pith citing papers

No inbound Pith citation observations are available.