Paper Citation Record · LEDGER

Rigidity of positive mass theorem with fast metric decay

As of 12 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.17236.

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

pith.paper-citation-record.v1
2607.17236 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T18:45:39.206729Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation 37982b33-a39b-4b95-bd5f-adb8baf072f5 · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:36.211179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8735bdf-9636-464f-830b-e90d9f039005 · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:36.279707Z

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Observation 9287e198-ac77-4edf-bad0-c244cff291a6 · outbound

This paper cites W.,Coordinate invariance and energy expressions in general relativity, Phys.

Rigidity of positive mass theorem with fast metric decay W.,Coordinate invariance and energy expressions in general relativity, Phys

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:36.345040Z

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Observation cfe014a4-d5d1-4887-a4c2-53a024e3587f · outbound

This paper cites H.,A Ricci flow proof of a result by Gromov on lower bounds for scalar curvature, Math.

Rigidity of positive mass theorem with fast metric decay H.,A Ricci flow proof of a result by Gromov on lower bounds for scalar curvature, Math

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:36.411738Z

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Observation 92405d8f-f0d1-4681-b085-fa95c2961f53 · outbound

This paper cites Pure Appl.

Rigidity of positive mass theorem with fast metric decay Pure Appl

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:36.483855Z

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Observation 4e89b0ca-e9a9-4ad4-9dc7-a3bb22471afc · outbound

This paper cites SIGMA Symmetry Integrability Geom.

Rigidity of positive mass theorem with fast metric decay SIGMA Symmetry Integrability Geom

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:36.528168Z

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Observation dd8fd111-69f6-4387-89d5-006a4ab87ca2 · outbound

This paper cites Pure Appl.

Rigidity of positive mass theorem with fast metric decay Pure Appl

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:36.609927Z

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Observation 23e18ae0-70ba-4d7d-8f83-72d6f39d6c15 · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:36.685973Z

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Observation e6df4552-319a-42b0-ab53-4055da97deab · outbound

This paper cites A dimension descent scheme for the positive mass theorem in arbitrary dimension.

Rigidity of positive mass theorem with fast metric decay A dimension descent scheme for the positive mass theorem in arbitrary dimension

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:36.771327Z

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Observation 616bf81b-9ce4-4405-bff8-73084134790f · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:36.853652Z

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Observation 011ba3a3-dd67-45dd-9194-5d44926735ae · outbound

This paper cites Reine Angew.

Rigidity of positive mass theorem with fast metric decay Reine Angew

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:36.919378Z

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Observation 9a73e6ee-3853-4a51-9bcf-f18a0a995584 · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:37.017439Z

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Observation 8e4f1b17-2c10-4124-898c-677e6d644a0f · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:37.086414Z

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Observation 0051d5ef-362c-4113-8edd-2f81dd99f9c2 · outbound

This paper cites Differential Geom.

Rigidity of positive mass theorem with fast metric decay Differential Geom

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:37.173568Z

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Observation acdf97ce-cbfd-43ad-85bb-8e325545c08d · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:37.244821Z

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Observation 285f0d93-e7e5-4dcc-9dcc-d0af0fbe7539 · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:37.315804Z

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Observation beedda91-25e6-4138-98d6-62ba19c9ebf8 · outbound

This paper cites Scalar curvature bounds for 3D continuous metrics through the Inverse Mean Curvature Flow.

Rigidity of positive mass theorem with fast metric decay Scalar curvature bounds for 3D continuous metrics through the Inverse Mean Curvature Flow

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:37.409354Z

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Observation bec81d26-b061-471e-9d29-b1589bf7d22c · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:37.473993Z

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Unavailable: canonical work link unavailable.

Observation 24c7e195-f523-4869-b18d-8f20355e58b0 · outbound

This paper cites 1, World Scientific, Hackensack, NJ, 2023, 1–514.

Rigidity of positive mass theorem with fast metric decay 1, World Scientific, Hackensack, NJ, 2023, 1–514

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:37.534677Z

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Observation dc05f061-46b4-4902-befe-5c5a382d0fa4 · outbound

This paper cites 1, 87–88.

Rigidity of positive mass theorem with fast metric decay 1, 87–88

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:37.606044Z

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Unavailable: canonical work link unavailable.

Observation e8525fea-e4b8-4090-a8b7-93d8a5d9af11 · outbound

This paper cites L.,ADM mass and the capacity-volume deficit at infinity.

Rigidity of positive mass theorem with fast metric decay L.,ADM mass and the capacity-volume deficit at infinity

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:37.718274Z

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Observation 96d4e361-b125-4262-9786-6602f0749d6c · outbound

This paper cites L.; Lee, D.

Rigidity of positive mass theorem with fast metric decay L.; Lee, D

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:37.886640Z

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Observation aa026faa-1b97-463e-a8aa-16fd250c9df3 · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.081663Z

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Unavailable: canonical work link unavailable.

Observation c4d7b057-16b3-45d9-9320-4525de541cec · outbound

This paper cites A.,Geometric Relativity, Graduate Studies in Mathematics, vol.

Rigidity of positive mass theorem with fast metric decay A.,Geometric Relativity, Graduate Studies in Mathematics, vol

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.232828Z

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Observation d23bdfb7-851e-4c99-9702-688b62d34d17 · outbound

This paper cites A.; LeFloch, P.

Rigidity of positive mass theorem with fast metric decay A.; LeFloch, P

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.370288Z

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Observation f4591ee3-6a90-46e2-9483-9e40f0de5e53 · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.447556Z

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Unavailable: canonical work link unavailable.

Observation bc787ce6-5746-43aa-9b24-12203dbe0d92 · outbound

This paper cites Uniqueness of Ricci flow with scaling invariant estimates.

Rigidity of positive mass theorem with fast metric decay Uniqueness of Ricci flow with scaling invariant estimates

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.503672Z

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Unavailable: canonical work link unavailable.

Observation 7404e8c8-ab08-40c4-93cb-502d9275042c · outbound

This paper cites Quantification of scalar curvature under $C^0$ convergence using smoothing.

Rigidity of positive mass theorem with fast metric decay Quantification of scalar curvature under $C^0$ convergence using smoothing

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.555637Z

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Observation 49e4c59f-c160-4ad5-83db-d8016b4005a9 · outbound

This paper cites Quantification of $C^0$ Convergence in Dimension Three.

Rigidity of positive mass theorem with fast metric decay Quantification of $C^0$ Convergence in Dimension Three

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.597377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b96604f3-afff-4a03-9659-e2e753189229 · outbound

This paper cites Rigidity in the Positive Mass Theorem with $C^0$ Decay.

Rigidity of positive mass theorem with fast metric decay Rigidity in the Positive Mass Theorem with $C^0$ Decay

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.640798Z

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Unavailable: canonical work link unavailable.

Observation cc765bb7-6f73-4b9e-890e-7b609b9e9fef · outbound

This paper cites A Positive Mass Theorem for Continuous Metrics.

Rigidity of positive mass theorem with fast metric decay A Positive Mass Theorem for Continuous Metrics

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.686754Z

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Unavailable: canonical work link unavailable.

Observation 8b32a6c2-682e-4688-9cd1-3fc4cf5e2109 · outbound

This paper cites H.,On Witten’s proof of the positive energy theorem, Comm.

Rigidity of positive mass theorem with fast metric decay H.,On Witten’s proof of the positive energy theorem, Comm

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.734353Z

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Observation 45583bcc-bba8-44e1-8708-f996a21241da · outbound

This paper cites Graduate Texts in Mathematics,.

Rigidity of positive mass theorem with fast metric decay Graduate Texts in Mathematics,

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.781319Z

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Observation 80817aa0-ecb2-4df4-96c3-fa27b0802788 · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.924740Z

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Observation b5a970cc-c93e-48a6-8c43-81210429cf1f · outbound

This paper cites Lecture Notes in Mathematics 1365.

Rigidity of positive mass theorem with fast metric decay Lecture Notes in Mathematics 1365

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.976337Z

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Observation ed59ee81-bfd1-4659-ac07-c73d881351bd · outbound

This paper cites Differential Geom.

Rigidity of positive mass theorem with fast metric decay Differential Geom

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:39.031670Z

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Observation 50e79a84-dd85-4fc6-87cf-aefa96b2cbce · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:39.088303Z

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Observation 252f066a-abb9-47d0-ab71-45ee82706760 · outbound

This paper cites an unresolved cited work.

Rigidity of positive mass theorem with fast metric decay Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:39.136569Z

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Unavailable: canonical work link unavailable.

Observation 4d16e1be-3bac-4baf-b92c-5e68322abb81 · outbound

This paper cites Gromov's Euclidean Endpoint $C^0$ Rigidity for the Positive Mass Theorem.

Rigidity of positive mass theorem with fast metric decay Gromov's Euclidean Endpoint $C^0$ Rigidity for the Positive Mass Theorem

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:39.206729Z

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Observation e4a02402-18e7-4ac9-8e2d-a41c9e12e1e6 · outbound

This paper cites xviii+499 pp.

Rigidity of positive mass theorem with fast metric decay xviii+499 pp

Reference 171

Resolution: unresolved; no resolver link, observed 2026-08-01T18:45:38.859016Z

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Pith citing papers

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