Paper Citation Record · LEDGER

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds

As of 9 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2506.07108.

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

pith.paper-citation-record.v1
2506.07108 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:55:49.692306Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T17:10:16.812519Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T17:11:20.234430Z

Reference resolution

37 of 37 outbound references displayed

verified exact2
verified fuzzy21
unresolved14
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3075093a-4470-4158-891c-bea6d8a4bb45 · outbound

This paper cites Riemannian Penrose inequality via Nonlinear Potential Theory.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Riemannian Penrose inequality via Nonlinear Potential Theory

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T05:55:49.582031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6cc691e-49b2-4a32-b520-32f2fde28f06 · outbound

This paper cites Eng.4(2022), no.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Eng.4(2022), no

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:50.055422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a0b34994-67de-426f-89ac-de4f25de1295 · outbound

This paper cites an unresolved cited work.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:50.046738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6606c087-adec-4f34-bc9e-2fd1a35df537 · outbound

This paper cites Allen, James Isenberg, John M.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Allen, James Isenberg, John M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:50.038298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3a61934a-6727-44f8-ab9f-f1b37c727637 · outbound

This paper cites hyperboloidal boundary conditions.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds hyperboloidal boundary conditions

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:50.029534Z

Source-reported events for the cited work

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Observation faba9146-164d-478e-b4c7-5659b9ec9ec5 · outbound

This paper cites an unresolved cited work.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:50.020978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2c73e990-70dc-47fd-8709-746e1a763837 · outbound

This paper cites Bray, Demetre P.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Bray, Demetre P

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:50.012417Z

Source-reported events for the cited work

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Observation 8b17a58d-79d2-4ede-b0f0-f147ad9ab38a · outbound

This paper cites Math.307(2020), no.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Math.307(2020), no

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:50.003597Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 89c5bfd4-639d-4b25-925b-b559f3bab053 · outbound

This paper cites an unresolved cited work.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:49.995124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 80ba867a-8013-40fc-a459-9752d21827be · outbound

This paper cites an unresolved cited work.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:49.986579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 70409405-ac13-4077-bbe0-f6a5f8806273 · outbound

This paper cites Chru´ sciel and Gabriel Nagy,The mass of spacelike hypersurfaces in asymptotically anti-de Sitter space-times, Adv.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Chru´ sciel and Gabriel Nagy,The mass of spacelike hypersurfaces in asymptotically anti-de Sitter space-times, Adv

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.977504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 965ef932-f044-4632-a218-20cf2684a9f8 · outbound

This paper cites A volume-renormalized mass for asymptotically hyperbolic manifolds.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds A volume-renormalized mass for asymptotically hyperbolic manifolds

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T05:55:49.616862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14ec2fa2-01b3-4136-815c-f2ee87b65aaa · outbound

This paper cites MR 909697.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds MR 909697

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.968325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3c1df6cf-7933-4dc5-93ea-81852f76cd9d · outbound

This paper cites Robin Graham and John M.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Robin Graham and John M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.959216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b89e1d80-0827-49bf-a380-ac39235e73fa · outbound

This paper cites Differential Geom.51(1999), no.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Differential Geom.51(1999), no

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.950588Z

Source-reported events for the cited work

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Observation 34fb2fce-1a66-4088-8cd6-2da999fa25e2 · outbound

This paper cites Differential Geom.30 (1989), no.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Differential Geom.30 (1989), no

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.941552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 753be04d-6c7d-47fd-810f-cc2fcae846a5 · outbound

This paper cites MR 2098385.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds MR 2098385

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.932246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f4d123a4-9a4f-4bc8-93a1-c57fac472f3e · outbound

This paper cites 1713, Springer, Berlin, 1999, pp.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds 1713, Springer, Berlin, 1999, pp

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.923370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e644121b-d674-497b-bda0-92af03263e2d · outbound

This paper cites Lee,Fredholm operators and Einstein metrics on conformally compact manifolds, Mem.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Lee,Fredholm operators and Einstein metrics on conformally compact manifolds, Mem

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.914368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 12208245-76c2-42b3-8e68-05c54dae98ec · outbound

This paper cites Topol.22(2018), no.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Topol.22(2018), no

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.905177Z

Source-reported events for the cited work

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Observation 73ab2e2c-4135-47e1-8616-7d3c183c95c3 · outbound

This paper cites The Higher Dimensional Positive Mass Theorem II.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds The Higher Dimensional Positive Mass Theorem II

Reference 21

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Source-reported events for the cited work

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Observation ea35ca1f-3eca-44e5-b933-5db0af89d69e · outbound

This paper cites On the $1/H$-flow by $p$-Laplace approximation: new estimates via fake distances under Ricci lower bounds.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds On the $1/H$-flow by $p$-Laplace approximation: new estimates via fake distances under Ricci lower bounds

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:55:49.739840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4a7c96b7-7472-4163-b061-886a40830447 · outbound

This paper cites an unresolved cited work.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:49.896413Z

Source-reported events for the cited work

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Observation 8881b2ef-235c-457f-8e97-e8aeafa50a53 · outbound

This paper cites an unresolved cited work.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:49.887421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2e6ff343-61c4-4593-8e5a-e66e21871a7d · outbound

This paper cites Melrose,Transformation of boundary problems, Acta Math.147(1981), no.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Melrose,Transformation of boundary problems, Acta Math.147(1981), no

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.878729Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 55092b79-f8a0-498e-b16e-7ec3948b7e73 · outbound

This paper cites an unresolved cited work.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:49.869480Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d4dda8fa-2da8-4288-bb11-8431ba7c230b · outbound

This paper cites Proc., vol.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Proc., vol

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.860346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ddf45732-5f62-4239-828d-15081c32323a · outbound

This paper cites Z.49(1943), 1–109.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Z.49(1943), 1–109

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.851207Z

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Observation 7afc514e-8939-40e2-aed5-8d4a977cdbc5 · outbound

This paper cites an unresolved cited work.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:49.842357Z

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Observation cd45e565-f522-46e3-bb43-e6af8b19583c · outbound

This paper cites an unresolved cited work.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:49.833311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 36538276-dc9d-47b7-bfce-be78ca41e291 · outbound

This paper cites an unresolved cited work.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:49.813281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0bebfb1b-9eea-4fdf-b6d1-e0e947c469d2 · outbound

This paper cites Stern,Scalar curvature and harmonic maps toS 1, J.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Stern,Scalar curvature and harmonic maps toS 1, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.804224Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bfe026a9-51ea-49a7-a28a-3210bb971e07 · outbound

This paper cites Taylor,L’Hospital’s rule, Amer.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Taylor,L’Hospital’s rule, Amer

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.794640Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 08ca93b1-7af3-4e87-ae5c-27b4c2c9ddc7 · outbound

This paper cites Boundary value problems for 0-elliptic operators.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Boundary value problems for 0-elliptic operators

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:55:49.725773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cf49d026-047f-4489-8733-9a980ed50a79 · outbound

This paper cites Differential Geom.57(2001), no.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Differential Geom.57(2001), no

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.785328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f41ebfdb-37cc-4b62-814a-1355bbed3f38 · outbound

This paper cites an unresolved cited work.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:55:49.776297Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7cc61614-a6f8-411c-be30-18f6e82706e7 · outbound

This paper cites Part 2, Surv.

Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds Part 2, Surv

Reference 2019

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:55:49.823608Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation b13f4118-3e75-45a4-883e-f2426cd8563c · inbound

Mass-type invariants in the presence of a cosmological constant cites this paper.

Mass-type invariants in the presence of a cosmological constant Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-05-15T17:11:20.237770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4546b734-df87-4d6c-8b2e-547d51f3b253 · inbound

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

Quantification of $C^0$ Convergence in Dimension Three Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds

Reference 19

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T11:50:19.988128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.