Paper Citation Record · LEDGER

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity

As of 11 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2606.19858.

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

pith.paper-citation-record.v1
2606.19858 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T16:24:42.725151Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

29 of 29 outbound references displayed

verified exact12
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 167aa2f8-5390-4912-92f0-953ab5c071e1 · outbound

This paper cites Spacetime harmonic functions and the mass of 3-dimensional asymptotically flat initial data for the.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Spacetime harmonic functions and the mass of 3-dimensional asymptotically flat initial data for the

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80996bf0-ecb3-4976-ac61-35560f23ce88 · outbound

This paper cites an unresolved cited work.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23dd33e9-9272-4431-94ef-af7f0adab7e3 · outbound

This paper cites , journal =.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity , journal =

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31ff2104-7546-494b-b682-614803da909d · outbound

This paper cites an unresolved cited work.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-06-26T16:29:35.390185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5db812ae-8c0e-4f81-a597-7a992a188960 · outbound

This paper cites and Lopez, Isaac M.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity and Lopez, Isaac M

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-06-26T16:29:35.384427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dbf85842-0f77-417c-9b54-130cb93eadae · outbound

This paper cites an unresolved cited work.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-06-26T16:29:35.388189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 110dc54f-cdd5-4ad8-9e74-d6a5479ee2f0 · outbound

This paper cites an unresolved cited work.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-06-26T16:29:35.381562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9104b53d-6a9a-44f4-9915-eddaf15afb20 · outbound

This paper cites Communications in Mathematical Physics , volume=.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Communications in Mathematical Physics , volume=

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cacbcf56-566b-4768-bc8b-87022f336a2b · outbound

This paper cites II , author=.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity II , author=

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1be80ca7-ff67-4970-8dd3-a64fc748038a · outbound

This paper cites Communications in Mathematical Physics , volume=.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Communications in Mathematical Physics , volume=

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e94ea43-1af0-43a6-beb5-3c7a8e84a111 · outbound

This paper cites Journal of Differential Geometry , volume=.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Journal of Differential Geometry , volume=

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36c409b6-ef07-455d-8b01-c59e075ac7f5 · outbound

This paper cites Journal of Differential Geometry , volume=.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Journal of Differential Geometry , volume=

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35343768-2197-4dc8-92f0-b965ada3c9c9 · outbound

This paper cites Journal of Differential Geometry , volume=.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Journal of Differential Geometry , volume=

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01c9a868-da8d-4306-a2ac-b19028bed5ae · outbound

This paper cites Pacific journal of mathematics , volume=.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Pacific journal of mathematics , volume=

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85a0e790-6a47-4f1a-bf3c-91b4ff301d36 · outbound

This paper cites 2026 , journal=.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity 2026 , journal=

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2854d8f4-8bce-472d-8f98-ac58ec7bc22a · outbound

This paper cites an unresolved cited work.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fca4a9b-f131-491a-b699-110e750c599d · outbound

This paper cites A proof for the Riemannian positive mass theorem up to dimension 19.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity A proof for the Riemannian positive mass theorem up to dimension 19

Reference 17

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T05:09:35.557868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 656a323d-f29f-4006-8e58-8a4f92d9fae3 · outbound

This paper cites Rigid comparison geometry for.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Rigid comparison geometry for

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2cf1cd47-7bb7-4be7-994a-638bac425841 · outbound

This paper cites Some rigidity theorems for spectral curvature bounds.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Some rigidity theorems for spectral curvature bounds

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-06-26T16:29:35.373725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1354ebed-cb9a-46af-b4a1-d5951c657477 · outbound

This paper cites Spectral torical band inequalities and generalizations of the.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Spectral torical band inequalities and generalizations of the

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53ca16c4-e8d3-4a52-bd61-acd58817b537 · outbound

This paper cites and Jezierski, Jacek and Leski, Szymon , year =.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity and Jezierski, Jacek and Leski, Szymon , year =

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c194d4cc-ab20-4e9a-8cec-5b3cf4aa73a4 · outbound

This paper cites and Galloway, Gregory J.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity and Galloway, Gregory J

Reference 22

Resolution: verified exact; doi, observed 2026-06-26T16:29:35.386425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 07fb7d33-e057-4593-95c1-e8fc225c0c94 · outbound

This paper cites and Mendes, Abraão , doi =.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity and Mendes, Abraão , doi =

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T16:24:42.725151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 889fd70a-20d5-46ed-9ef6-a2a9f0ad34c6 · outbound

This paper cites Gromov,Metric Inequalities with Scalar Curvature, Geometric and Functional Analysis, 28, 645-726.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Gromov,Metric Inequalities with Scalar Curvature, Geometric and Functional Analysis, 28, 645-726

Reference 24

Resolution: verified exact; doi, observed 2026-06-26T16:29:35.375944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 35c04773-4925-4182-bcbe-6ecadd3e3879 · outbound

This paper cites an unresolved cited work.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-06-26T16:29:35.377709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fa5c9605-c045-4430-878f-e05a7da8e79f · outbound

This paper cites SIGMA Symmetry Integrability Geom.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity SIGMA Symmetry Integrability Geom

Reference 26

Resolution: verified exact; doi, observed 2026-06-26T16:29:35.395638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0b88d039-6310-45a6-8059-31ba030b8fd3 · outbound

This paper cites an unresolved cited work.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Unresolved cited work

Reference 27

Resolution: verified exact; doi, observed 2026-06-26T16:29:35.379552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 00fd2cf7-12d0-4049-9280-bf2fc0ab7b01 · outbound

This paper cites Calculus of Variations and Partial Differential Equations , author =.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Calculus of Variations and Partial Differential Equations , author =

Reference 28

Resolution: verified exact; doi, observed 2026-06-26T16:29:35.393801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 91e56f5a-9a13-4538-8c69-5550cfd73b36 · outbound

This paper cites an unresolved cited work.

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-06-26T16:29:35.392042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.