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Paper Citation Record · LEDGER

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three

As of 20 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2607.17764.

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

pith.paper-citation-record.v1
2607.17764 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T17:19:27.650982Z

measured 44 of 44 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

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measured 0 of 1 external citation measurements

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Reference resolution

44 of 44 outbound references displayed

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External citation measurements

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Outbound references

Observation 62194948-a94c-4cdb-8006-d0aa987d131d · outbound

This paper cites Ahlberg and R.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Ahlberg and R

Reference 1

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Observation 675db5e6-1a1d-48e5-b95e-36ca6198a6df · outbound

This paper cites Ahlberg, S.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Ahlberg, S

Reference 2

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Observation f80200eb-ae4d-4a9c-8882-98960b38ddf4 · outbound

This paper cites Balister and B.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Balister and B

Reference 3

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Observation ed5e46d5-4636-464c-a3e5-96728ee0dcb3 · outbound

This paper cites Balister, B.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Balister, B

Reference 4

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Observation faa78171-b9cd-4fac-9383-6934e8629dc5 · outbound

This paper cites Benjamini, Y.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Benjamini, Y

Reference 5

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Observation ec4b53a2-2001-455f-85d8-8c8dd4827d0f · outbound

This paper cites Benjamini, E.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Benjamini, E

Reference 6

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Observation 07efd006-2cba-497a-943d-745b97d96a8a · outbound

This paper cites Benjamini and O.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Benjamini and O

Reference 7

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Observation 8087f6e2-20c8-4ca8-90f1-66590397707c · outbound

This paper cites Benjamini and O.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Benjamini and O

Reference 8

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Observation a342c823-8115-4091-a94f-e8feac3f308c · outbound

This paper cites Bollob´ as and O.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Bollob´ as and O

Reference 9

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Observation 35b5209d-5759-4742-8a4c-01b3aecee29a · outbound

This paper cites Bollob´ as and O.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Bollob´ as and O

Reference 10

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Observation a240519e-bd77-4f1d-87cc-6bcc04c76a24 · outbound

This paper cites Brieden, P.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Brieden, P

Reference 11

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Observation 9674f917-0dc5-488e-b657-b5c0292b1ec5 · outbound

This paper cites Budzinski, N.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Budzinski, N

Reference 12

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Observation 303cff27-f087-4b93-9dc7-0e0ff6b6a614 · outbound

This paper cites High-intensity Voronoi percolation on manifolds.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three High-intensity Voronoi percolation on manifolds

Reference 13

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Observation 4d2dbfcc-ae5a-4455-bd49-fa81f9e67ea8 · outbound

This paper cites Calka, A.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Calka, A

Reference 14

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Observation 99b7a245-b75c-4da7-8aa5-506a194b8696 · outbound

This paper cites Cannon, W.J.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Cannon, W.J

Reference 15

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Observation 7b069ada-149b-4f02-a574-5a11a4097ecc · outbound

This paper cites D’Achille, N.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three D’Achille, N

Reference 16

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Observation 301eee34-6a7b-4a90-ba25-772b5c9553b7 · outbound

This paper cites D’Achille, J.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three D’Achille, J

Reference 17

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Observation 8ea86090-888f-4fa2-8f68-fa057e2b43b7 · outbound

This paper cites Face volume densities of positive-intensity and ideal Poisson--Voronoi tessellations in hyperbolic spaces.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Face volume densities of positive-intensity and ideal Poisson--Voronoi tessellations in hyperbolic spaces

Reference 18

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Observation 9efdb07c-9281-4b10-9955-84cb622bb645 · outbound

This paper cites Duminil-Copin, A.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Duminil-Copin, A

Reference 19

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Observation fb09690d-5dfc-4aec-ad23-6d1ac2889ad8 · outbound

This paper cites Freedman.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Freedman

Reference 20

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Observation 0ea397ed-dcf0-4983-8e76-a1e88c2f3f81 · outbound

This paper cites Frączyk, S.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Frączyk, S

Reference 21

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Observation 1a844872-1c40-4477-8188-faa869bbda79 · outbound

This paper cites Gracar, L.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Gracar, L

Reference 22

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source=pdf_text observed=2026-08-01T17:19:25.768387Z digest=sha256:88316812aa921a8b5daa6e78b7a2e10baa06e463909e2d2b3ada746191956840

Observation cf5d9c1c-1665-4a61-9bb9-73056f07b2f7 · outbound

This paper cites Poisson-Voronoi percolation in higher rank.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Poisson-Voronoi percolation in higher rank

Reference 23

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source=pdf_text observed=2026-08-01T17:19:25.892316Z digest=sha256:5767f0f38d212b0aff8e53c97f3528733dd85df1d9494cdc9e661f6c6d107470

Observation 0f79331e-1150-41de-a03b-6129372d8b36 · outbound

This paper cites Grimmett.Percolation.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Grimmett.Percolation

Reference 24

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Observation b9304243-7048-48a8-a11e-3e30360e06b6 · outbound

This paper cites Hansen and T.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Hansen and T

Reference 25

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Observation 05b84bac-0945-4270-b366-e7326be0443b · outbound

This paper cites Hansen and T.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Hansen and T

Reference 26

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Observation 31e80ab2-b1b1-41dc-9f1c-3b4e9453e0c6 · outbound

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Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Unresolved cited work

Reference 27

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Observation a20344d7-2e66-4e95-908a-1928d29ddc7f · outbound

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Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Unresolved cited work

Reference 28

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Observation a508458a-5db7-4d20-b631-327383f855f5 · outbound

This paper cites an unresolved cited work.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Unresolved cited work

Reference 29

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Observation 0ebe523d-43f6-40ff-b7f6-a0e439ba8031 · outbound

This paper cites Last and M.D.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Last and M.D

Reference 30

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source=pdf_text observed=2026-08-01T17:19:26.420977Z digest=sha256:af9002356a993c7cb813bff485a2d1e16eef733be771591c6158a324a4220055

Observation 72cbacfa-e9fd-4bff-a43e-d5ee98b8b074 · outbound

This paper cites Sharpness of phase transition for Voronoi percolation in hyperbolic space.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Sharpness of phase transition for Voronoi percolation in hyperbolic space

Reference 31

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Observation 77c7ef87-90f2-4d07-8fb8-d1070e8ae7f5 · outbound

This paper cites Lyons and O.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Lyons and O

Reference 32

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Observation 13fc7a44-66fb-47a3-9a2b-1b4a1cd6280e · outbound

This paper cites Meester and R.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Meester and R

Reference 33

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Observation f589e6f3-4fb7-4d37-ac84-bb534e945fd7 · outbound

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Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Unresolved cited work

Reference 34

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Observation b6554dc3-428d-4999-98e8-60a1d9a75de2 · outbound

This paper cites Penrose.Random geometric graphs, volume 5 ofOxford Studies in Probability.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Penrose.Random geometric graphs, volume 5 ofOxford Studies in Probability

Reference 35

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Observation 6791d50f-8241-4674-853a-9fd204d90627 · outbound

This paper cites Ratcliffe.Foundations of hyperbolic manifolds, volume 149 ofGraduate Texts in Mathematics.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Ratcliffe.Foundations of hyperbolic manifolds, volume 149 ofGraduate Texts in Mathematics

Reference 36

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Observation 8e12176a-fbaa-4ad3-8604-0886299041b0 · outbound

This paper cites Schilling.Measures, integrals and martingales.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Schilling.Measures, integrals and martingales

Reference 37

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Observation 488792b5-2a00-430e-8464-70c5042abff9 · outbound

This paper cites Schneider and W.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Schneider and W

Reference 38

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Observation 6e4a1501-d15b-4f1c-bb78-cf94a34e07d7 · outbound

This paper cites Stoyan, W.S.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Stoyan, W.S

Reference 39

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source=pdf_text observed=2026-08-01T17:19:27.138912Z digest=sha256:4104cae069a37d045d9e28d1f31c8c17a561706d392ff77e592aac3870fced16

Observation fd75a8a1-0d37-4f97-9087-7a0db17f7c61 · outbound

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Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Unresolved cited work

Reference 40

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source=pdf_text observed=2026-08-01T17:19:27.258175Z digest=sha256:deadf483a65f5dee0265f3d2e30efe6d33756b3806875dbdc043c194d010c3d7

Observation ab0d6781-82cd-4301-b467-7a2d0dee6ae1 · outbound

This paper cites Vanneuville.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Vanneuville

Reference 41

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source=pdf_text observed=2026-08-01T17:19:27.353767Z digest=sha256:0b34f059f6d04b02207d0d16e3722b191bf2f212333d323a0bb8ff6dd2e8b258

Observation 548c44f7-f75c-4fe2-bb2c-ac776892a1fd · outbound

This paper cites an unresolved cited work.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Unresolved cited work

Reference 42

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source=pdf_text observed=2026-08-01T17:19:27.484893Z digest=sha256:bdcff9c6c404e7aba7c2c081a279c08d86f0ace4521cb446642c23effecd160c

Observation 3040f104-eeec-49c4-ae9c-a6ba9ade6830 · outbound

This paper cites Zvavitch.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three Zvavitch

Reference 43

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source=pdf_text observed=2026-08-01T17:19:27.576564Z digest=sha256:994f515d4391c52d17e416f7d88a4c84d2579785b6e2b082069511596e9f2350

Observation 22c4b848-afa5-4d61-8181-f34ca6546118 · outbound

This paper cites As observed earlier, the lemma statement follows.■ 37 A.4 Proof of Proposition 13.

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three As observed earlier, the lemma statement follows.■ 37 A.4 Proof of Proposition 13

Reference 44

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no resolver link, observed 2026-08-01T17:19:27.650982Z

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source=pdf_text observed=2026-08-01T17:19:27.650982Z digest=sha256:49e8053d684f0258351c2b0e93197738619efc5ae7ba4ae69a1bd20ac590defd

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