Paper Citation Record · LEDGER

Geometric Rigidity via Almost-Harmonic Twisted Spinors

As of 7 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 2 inbound Pith citation observations for arXiv:2606.19567.

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

pith.paper-citation-record.v1
2606.19567 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:05:45.631641Z

measured 37 of 37 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T14:14:49.353323Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T04:14:29.558391Z

Reference resolution

35 of 35 outbound references displayed

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unresolved35
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External citation measurements

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Outbound references

Observation a5725743-ece1-4aa5-a6a3-d6373797dc8a · outbound

This paper cites MR 2243012.

Geometric Rigidity via Almost-Harmonic Twisted Spinors MR 2243012

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:41.947110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 915bd878-6b1e-4adf-a8eb-090d668556f6 · outbound

This paper cites an unresolved cited work.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:42.024574Z

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Unavailable: canonical work link unavailable.

Observation 7f0813de-5526-44c0-a7ec-113b1f91a66d · outbound

This paper cites Reine Angew.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Reine Angew

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:42.104762Z

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Unavailable: canonical work link unavailable.

Observation 95d8c492-ed88-4383-be28-646f9eb8096e · outbound

This paper cites Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon).

Geometric Rigidity via Almost-Harmonic Twisted Spinors Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon)

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:42.273158Z

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Unavailable: canonical work link unavailable.

Observation b080de81-78ce-43c5-8df2-e6dca6c311d3 · outbound

This paper cites Besse,Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Besse,Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:42.373149Z

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Observation ba7f58a9-59fb-4889-ab49-12d40ec40a17 · outbound

This paper cites an unresolved cited work.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:42.490371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ba60d7c-a9be-41c3-bf91-c8e50552f80d · outbound

This paper cites 4, 581–598.

Geometric Rigidity via Almost-Harmonic Twisted Spinors 4, 581–598

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:42.600181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61c95848-320d-4757-b054-18f37dce6985 · outbound

This paper cites an unresolved cited work.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:42.701994Z

Source-reported events for the cited work

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Observation fb6a096d-7046-489b-b93f-0ed9831c7d3f · outbound

This paper cites Ann.319(2001), no.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Ann.319(2001), no

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:42.859684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2e27241-3641-4968-af27-38977e020b0f · outbound

This paper cites 115, Academic Press, Orlando, FL, 1984, Including a chapter by Burton Randol; with an appendix by Jozef Dodziuk.

Geometric Rigidity via Almost-Harmonic Twisted Spinors 115, Academic Press, Orlando, FL, 1984, Including a chapter by Burton Randol; with an appendix by Jozef Dodziuk

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:43.016413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6588f180-fa9f-4381-8664-af44d313c019 · outbound

This paper cites 3, 289–297.

Geometric Rigidity via Almost-Harmonic Twisted Spinors 3, 289–297

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:43.071054Z

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Observation 3235b94b-4e72-4cf5-ada7-0086160951c1 · outbound

This paper cites Chernoff,Essential self-adjointness of powers of generators of hyperbolic equations, Journal of Functional Analysis12(1973), no.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Chernoff,Essential self-adjointness of powers of generators of hyperbolic equations, Journal of Functional Analysis12(1973), no

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:43.166074Z

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Observation 2ad1c36f-d35c-4093-b6bc-0bc1f58f82e9 · outbound

This paper cites an unresolved cited work.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:43.218765Z

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Observation 6ee49fb8-c6ea-4bf7-964f-99f97cfda72a · outbound

This paper cites Ann.327(2003), no.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Ann.327(2003), no

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:43.353610Z

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Unavailable: canonical work link unavailable.

Observation 1858c841-216f-452c-a129-8cb42ea3b2c2 · outbound

This paper cites Di Cerbo, Alexander Dranishnikov, and Ekansh Jauhari,Curvature, macroscopic dimensions, and symmetric products of surfaces, arXiv preprint (2026).

Geometric Rigidity via Almost-Harmonic Twisted Spinors Di Cerbo, Alexander Dranishnikov, and Ekansh Jauhari,Curvature, macroscopic dimensions, and symmetric products of surfaces, arXiv preprint (2026)

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:43.476051Z

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Observation 918b0634-c6a0-4a37-842d-d75e1cdbe830 · outbound

This paper cites do Carmo,Riemannian geometry, Mathematics: Theory & Applications, Birkhäuser Boston, 1992.

Geometric Rigidity via Almost-Harmonic Twisted Spinors do Carmo,Riemannian geometry, Mathematics: Theory & Applications, Birkhäuser Boston, 1992

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:43.577436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eecd952f-188e-408e-9f08-18923ba7a201 · outbound

This paper cites Fischer and Joseph A.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Fischer and Joseph A

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:43.638316Z

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Unavailable: canonical work link unavailable.

Observation 73c95b79-6877-47bd-9a30-a5f108293937 · outbound

This paper cites 2, 199–211.

Geometric Rigidity via Almost-Harmonic Twisted Spinors 2, 199–211

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:43.750966Z

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Unavailable: canonical work link unavailable.

Observation c5851f69-d399-4a4f-92f4-5b72750a62bd · outbound

This paper cites Trudinger,Elliptic partial differential equations of second order, 2 ed., Classics in Mathematics, Springer, Berlin, 2001, Reprint of the 1983 second edition.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Trudinger,Elliptic partial differential equations of second order, 2 ed., Classics in Mathematics, Springer, Berlin, 2001, Reprint of the 1983 second edition

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:43.862484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 000062e3-4404-46cb-9f38-0a7813f1cf99 · outbound

This paper cites 1, 263–292.

Geometric Rigidity via Almost-Harmonic Twisted Spinors 1, 263–292

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:43.959498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ae706f5-3a14-4ce2-83df-3b5e87233951 · outbound

This paper cites an unresolved cited work.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:44.068174Z

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Unavailable: canonical work link unavailable.

Observation 5025c2af-0cb6-45b4-8b67-7d657f3fc54e · outbound

This paper cites Dedicata135(2008), 119–127.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Dedicata135(2008), 119–127

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:44.137424Z

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Unavailable: canonical work link unavailable.

Observation a140a413-2cf9-4c99-9d32-70f37ce8c5ae · outbound

This paper cites an unresolved cited work.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:44.261324Z

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Unavailable: canonical work link unavailable.

Observation ce358e91-4d09-4488-8af5-5f186fcaa5dd · outbound

This paper cites Blaine Lawson and Marie-Louise Michelsohn,Spin geometry, Princeton Mathematical Series, vol.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Blaine Lawson and Marie-Louise Michelsohn,Spin geometry, Princeton Mathematical Series, vol

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:44.382147Z

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Observation 20d5d73a-f5f8-46ab-9ad6-41576c842c3b · outbound

This paper cites Differential Geom.85(2010), no.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Differential Geom.85(2010), no

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:44.438373Z

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Observation 0483c5e1-ea0a-4194-a8c9-915646ab2008 · outbound

This paper cites 1, 143–162.

Geometric Rigidity via Almost-Harmonic Twisted Spinors 1, 143–162

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:44.531822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77b46806-d21f-4d58-ba2c-a3c28e94f96f · outbound

This paper cites an unresolved cited work.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:44.662365Z

Source-reported events for the cited work

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Observation 42bb60d1-bcb4-4913-86e4-f03c2a0f7b76 · outbound

This paper cites an unresolved cited work.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:44.772119Z

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Unavailable: canonical work link unavailable.

Observation 4db96599-5183-4544-a8db-51d103f7e4f2 · outbound

This paper cites 2, Paper No.

Geometric Rigidity via Almost-Harmonic Twisted Spinors 2, Paper No

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:44.852170Z

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Observation b4d027e6-aabb-445a-a16d-6297f4deedef · outbound

This paper cites Ann.281 (1988), no.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Ann.281 (1988), no

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:45.014256Z

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Observation b78070b1-fc78-434f-8d83-57ab0ac416c3 · outbound

This paper cites an unresolved cited work.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:45.139611Z

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Observation 907b6089-e176-4a9c-a00d-a7791287d9b5 · outbound

This paper cites Strichartz,Analysis of the laplacian on the complete riemannian manifold, Journal of Functional Analysis52(1983), no.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Strichartz,Analysis of the laplacian on the complete riemannian manifold, Journal of Functional Analysis52(1983), no

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:45.233883Z

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Observation 8491f09c-c8ca-4609-a161-8cf6ab0875ef · outbound

This paper cites an unresolved cited work.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:45.420981Z

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Observation f646c2bb-e13d-40b2-b968-c4918a427a5a · outbound

This paper cites an unresolved cited work.

Geometric Rigidity via Almost-Harmonic Twisted Spinors Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:45.536014Z

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Unavailable: canonical work link unavailable.

Observation 9f3765a9-b376-40f4-b2de-56923782dfe3 · outbound

This paper cites 1, 272–284.

Geometric Rigidity via Almost-Harmonic Twisted Spinors 1, 272–284

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T11:05:45.631641Z

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Pith citing papers

Observation 23987b04-929e-474b-9670-af67f57532a9 · inbound

Bottom spectrum and parabolicity of 3-manifolds with scalar curvature lower bound cites this paper.

Bottom spectrum and parabolicity of 3-manifolds with scalar curvature lower bound Geometric Rigidity via Almost-Harmonic Twisted Spinors

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-07-08T04:14:29.561652Z

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.

Observation 89156937-d2ba-4440-bb19-d8575e47a581 · 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 Geometric Rigidity via Almost-Harmonic Twisted Spinors

Reference 1

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

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Unavailable: canonical work link unavailable.