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Paper Citation Record · LEDGER

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra

As of 20 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2608.03575.

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

pith.paper-citation-record.v1
2608.03575 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:57:18.747952Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

54 of 54 outbound references displayed

  • verified exact2
  • verified fuzzy36
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 026e6d9c-590f-4779-a554-d08e84d39142 · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:19.448022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.554581Z digest=sha256:ef50669eefcdd926f2c84a6a32641c71f3a1a5f34466b65411813c203cc5cd1b

Observation 4d9574c5-b051-4a34-ad73-607ed6e4b179 · outbound

This paper cites Angel, M.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Angel, M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.437003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.558651Z digest=sha256:31facad9ee20de4123740204bc4b750653e3e4d2c625088a985508ec8a6f6ee0

Observation 2d81c7e3-0ef7-4755-bce8-80c7864331f8 · outbound

This paper cites Angel and O.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Angel and O

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.424967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.562434Z digest=sha256:1cadcdd18c054282402372cc44d64063bd6c4bc37bcc8be21894b7f50326156c

Observation ac5b256d-201f-40d6-a7d9-00bef6944883 · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:19.413853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.566199Z digest=sha256:23054fd29d853a880a27df789aa7db417f87974c0363f48073d48f3f8834e3d6

Observation cce31235-f927-4cac-a6ca-9c29ad5f1050 · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:19.401799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.570126Z digest=sha256:df4f44ff4ae33bbfb1ac137de69ddbb9a678b185652c1bfee8222b4678c130df

Observation f1ffb800-83c7-4bb6-99ce-0fa30a3e6f94 · outbound

This paper cites Ancona,Negatively curved manifolds, elliptic operators, and the Martin boundary, Ann.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Ancona,Negatively curved manifolds, elliptic operators, and the Martin boundary, Ann

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.391595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.573669Z digest=sha256:fc8b9c4c8a08d23b8dcfb66c3aa606c03af3efa75866bf6d41045d4336572c43

Observation c046eb12-4742-4444-b1cb-2249551b9ce3 · outbound

This paper cites Angel, T.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Angel, T

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.380644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.577545Z digest=sha256:ae7cb398f9c9201d4f92a4eb00f2b08efbc6b9d793d4db50455c4560d14db760

Observation 50a2cd75-1e44-4f19-852f-3d1dec9da906 · outbound

This paper cites Angel, T.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Angel, T

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.370242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.580736Z digest=sha256:cad55a1643585d2144369b7179da3c277eb5530117e1e3d2abb5a7ce05da4cfb

Observation 6a038923-2fd4-4908-a25f-a26bfcccb71a · outbound

This paper cites Bao and F.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Bao and F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.360413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.584076Z digest=sha256:469d7e9bc1d05ba2dadd05f8a9f987137447fc9e801ada308e6a89ca3cede463

Observation 59711ae3-34eb-4c62-890c-e8a6be6849ff · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:19.348989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.587294Z digest=sha256:a30145130f7ab07170d218a3990cfcdc0f7ea21463f9b9044a324fcd08134420

Observation cd97b965-e0fb-4f57-9d49-b30d22643b9d · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:19.336685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.591305Z digest=sha256:711bf606556727e28d727f8967c531035918a25bf29153c43bb65c54faa5523a

Observation 8277f7f0-a90d-46f2-ab3b-10fc95783c39 · outbound

This paper cites Benjamini and O.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Benjamini and O

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.324203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.594647Z digest=sha256:2ea1a2a73da404832dfe4737b4f190e6931e778ec8e38f460c114a0e3be849fd

Observation d8eac003-c44c-4560-b9ed-6782cc08fff0 · outbound

This paper cites Benjamini and O.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Benjamini and O

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.310546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.598299Z digest=sha256:26aa427fc640da2bb87c1a63e80633b3cfe836ed0f6e74d8249f173127843a9b

Observation 9ea57396-01ea-4275-b2c0-78ee9cc135f1 · outbound

This paper cites Benjamini and O.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Benjamini and O

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.296008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.601782Z digest=sha256:774d839c784ab31b000bebf8a5cfd217cf6be40555fd32be365e6633e4e32579

Observation 00ad2c93-c154-4375-a46f-596f8155ead1 · outbound

This paper cites Benjamini and N.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Benjamini and N

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.281271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.605336Z digest=sha256:9a040ec028d8ce41b9a55390c7538691c42d3c54280e166e8698ad1cd0f347dd

Observation 51574c67-bbc5-4ed5-bcf9-2f87c38f63c1 · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:19.269246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.608760Z digest=sha256:d01b647e6c6c76c9f57bc7d4122f289577f7c25c949018da566706e340881a98

Observation 08d3e77b-d059-4d5f-ba49-d3af64c1ab7a · outbound

This paper cites Br¨ agger,Kreispackungen und Triangulierungen, Enseign.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Br¨ agger,Kreispackungen und Triangulierungen, Enseign

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.256429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.612195Z digest=sha256:1e60a9cfd959f01b36e554d77954cce51063770c362bd5d37a7ae426717a8df6

Observation 2dc9f4a4-231d-4ca2-8e6b-7c3a072ee09f · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:19.243761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.616469Z digest=sha256:6e8ab2f7bab3225c666c50a722dad8a3b2f6f20910f7e359148800de089a31de

Observation 65221812-9930-4a08-bb72-ad385bc63fa6 · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:19.233402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.619807Z digest=sha256:904eea37214d0888f433dc10a5abc9295b05ccca3778f55beb7313e35144f57c

Observation 3079d380-e50c-4e61-b52d-498e85725592 · outbound

This paper cites Colin de Verdi` ere,Un principe variationnel pour les empilements de cercles, Invent.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Colin de Verdi` ere,Un principe variationnel pour les empilements de cercles, Invent

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.222168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.623247Z digest=sha256:17f1667ca9e7c170355a8902ddb2fbceca574466257abebebebd733bbd6168ca

Observation 3f4f461e-69c9-4fe2-91e9-13bdb262b41a · outbound

This paper cites Curien,Random graphs: the local convergence point of view, lecture notes, 2018.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Curien,Random graphs: the local convergence point of view, lecture notes, 2018

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.209836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.626820Z digest=sha256:931c36916a70d1f7ae2ca3bfe48eccd3c132391464e2e792f56f663bf6f2d26b

Observation d33f155d-2807-4595-b86c-b6b3647ca745 · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:19.197335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.630317Z digest=sha256:c42b3c65fa4194487e1ab9d9ecbec3daa77658f389a07bcd7bd0af8aebe70de6

Observation 43d169f8-8a2a-48e6-aa25-f324674ac95d · outbound

This paper cites Ge and A.-J.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Ge and A.-J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.184873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.633753Z digest=sha256:72ab8284c0701d616682e00791d526182b672036db3f947ab327b3b7bb3bea41

Observation 5c709e7b-e7b8-4a23-93b2-af73c059b10e · outbound

This paper cites Random infinite ideal angled graphs and ideal hyperbolic polyhedra.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Random infinite ideal angled graphs and ideal hyperbolic polyhedra

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:57:18.818632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.636902Z digest=sha256:9af80341b2ae8afdc44fd572a9fee30dba69cbf86a35b0b10bf4c51aed972ced

Observation 75e18532-4fb4-4b31-9413-e8f775b428ad · outbound

This paper cites Infinite Ideal Polyhedra in Hyperbolic 3-Space: Existence and Rigidity.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Infinite Ideal Polyhedra in Hyperbolic 3-Space: Existence and Rigidity

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-15T14:57:18.640559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:57:18.640559Z digest=sha256:0ab1ec1e6aa735b79b57b21de4cd559cb8171632fedbbe69171514e917c68956

Observation f3137bba-c619-4bd5-a3c5-88155cec45d2 · outbound

This paper cites Characterizations of infinite circle patterns and convex polyhedra in hyperbolic 3-space.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Characterizations of infinite circle patterns and convex polyhedra in hyperbolic 3-space

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:57:18.786554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.644389Z digest=sha256:30920f91ec811ef304e3b57bda18596e1b53ee9e8b965ec732fa1f8a8dcb7b58

Observation 5d57b95d-2a1d-4c9d-8351-b460ece8a3ae · outbound

This paper cites Georgakopoulos,The boundary of a square tiling of a graph coincides with the Poisson boundary, Invent.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Georgakopoulos,The boundary of a square tiling of a graph coincides with the Poisson boundary, Invent

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.172990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.648278Z digest=sha256:874be15c0787529238235dad81fa41974e3efe59f0ef30576e9dc30d1e348215

Observation 5f85921a-97be-41ff-9ebf-bdfba33ef0eb · outbound

This paper cites Gurel-Gurevich and A.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Gurel-Gurevich and A

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.160907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.651749Z digest=sha256:af9e7e71bcdaa4048c83a04c34fa5571e8c4653edc8688401cf04cd85b78a229

Observation bf1303c2-f997-4f1c-a732-ed66153cb3b6 · outbound

This paper cites Gou¨ ezel and S.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Gou¨ ezel and S

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.148106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.655591Z digest=sha256:1f09ddd38e449c169065a80b396d7a6efdaebb9bdd47f558482266efdb0cb46f

Observation 50617b26-b216-414d-b9e1-d08c6084fcaa · outbound

This paper cites Gou¨ ezel,Martin boundary of random walks with unbounded jumps in hyperbolic groups, Ann.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Gou¨ ezel,Martin boundary of random walks with unbounded jumps in hyperbolic groups, Ann

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.135762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.659235Z digest=sha256:73bb01b95c67fdb66af6d25e57a2093a2278d46194a14e962c152c7b3a64ee46

Observation 31cac1ab-d2ab-49d8-9726-4e658efc17c5 · outbound

This paper cites Gromov,Hyperbolic groups, inEssays in Group Theory, Math.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Gromov,Hyperbolic groups, inEssays in Group Theory, Math

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.121765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.662810Z digest=sha256:34ced3857d4457afe934c32bf809b26629080e2b6fab5fd9e9fd0fa7a71654c9

Observation 18f946f7-f5a6-4c04-8c15-179f38ec72e8 · outbound

This paper cites He,On the convergence of circle packings to the Riemann map, Invent.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra He,On the convergence of circle packings to the Riemann map, Invent

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.109776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.666350Z digest=sha256:c20a4f7137472835b9e0980722159d3a83111954085809f118737d1c27fabeb1

Observation c14a573c-6e33-4052-9c82-8c2fc4b47d2f · outbound

This paper cites He,Rigidity of infinite disk patterns, Ann.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra He,Rigidity of infinite disk patterns, Ann

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.097784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.669864Z digest=sha256:17c7cf0c6cd11033d483a8728b3ee4fa2284dd9ff7b0825e0370b8663fa05d58

Observation 2fec0c46-839f-4b0a-8ca1-702d33f423c0 · outbound

This paper cites He and O.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra He and O

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.085001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.673751Z digest=sha256:6644e3f5489b26567fae3962e6e93a6bc5dcd2970493934abc4a4e109daded91

Observation 984239d4-ac81-433e-857b-18e24f088ba9 · outbound

This paper cites He and O.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra He and O

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.073223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.677321Z digest=sha256:1db261f8e8021955839c266e8b6d6b516bd349262f6a4d6dfb99b5a3d1d676d3

Observation 40d5b543-3169-447e-aba1-fe77755032b2 · outbound

This paper cites Hutchcroft and Y.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Hutchcroft and Y

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.061106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.680881Z digest=sha256:771b5b06a6b68d5cd077c0ddb5c46d335fb1378bdc112a5f0d2bb834b1d40844

Observation ad533629-8560-4136-bfaf-634dd9da16ce · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:19.049229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.684342Z digest=sha256:5ee9da8b07905e7f7927500caa1dd7b171c4575c1e616ce8a960abca269f0747

Observation 56c62b6f-ebf0-490b-9bae-888ba6f8f57e · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:19.037756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.687772Z digest=sha256:e204b677823da90c2ffb0dfb4608672b68e16f3c2a460e1b602d80a9f01c1421

Observation 0db49e1a-7158-4545-beee-ffcf3c3380ff · outbound

This paper cites Koebe,Kontaktprobleme der konformen Abbildung, Ber.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Koebe,Kontaktprobleme der konformen Abbildung, Ber

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.026119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.691551Z digest=sha256:334ca3e038db7fd44f68c0865e4dde13fe40a2525ac6aace3c191c7dd0de6b2f

Observation e9635d93-3834-4c36-84c2-4a094e69117e · outbound

This paper cites Liu,The Character of Thurston’s Circle Packings with Obtuse Exterior Intersection Angles, Anal.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Liu,The Character of Thurston’s Circle Packings with Obtuse Exterior Intersection Angles, Anal

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.012982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.695367Z digest=sha256:862620d9d7cde86cfdd097326f2d69f172ef0aab5d8ab008c91e757a34e43266

Observation 48ac20fa-4133-4364-8549-50d272261e07 · outbound

This paper cites Lyons and Y.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Lyons and Y

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:19.000434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.699157Z digest=sha256:cd7df547c2e0a3227b22e331641ca16e284229e9c39f1fd34ca3e9f4f2345516

Observation 516ff9bf-ba1f-4184-8b8e-1a8a111e6a2b · outbound

This paper cites Northshield,Square tilings, harmonic functions and electrical networks, Proc.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Northshield,Square tilings, harmonic functions and electrical networks, Proc

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:18.987367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.702585Z digest=sha256:e71c5a96af2fc5f9601e2ff437a1b879160f296fa2659ecb2a13399e46f296f9

Observation 4ad9d014-647e-49f8-a905-838e87bedd3a · outbound

This paper cites Rivin and C.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Rivin and C

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:18.975204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.706167Z digest=sha256:6bac6700b3c5f6b1291341aff75ab904b9d4be7c3ad67334a57f07cb94c3267d

Observation b1a9ca6f-e778-4cbe-8ccd-dd6bf1a28b87 · outbound

This paper cites Rivin,Euclidean structures on simplicial surfaces and hyperbolic volume, Ann.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Rivin,Euclidean structures on simplicial surfaces and hyperbolic volume, Ann

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:18.963254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.709896Z digest=sha256:3e7e4925b439bc29d5ad402b9aabc7949e97aceb5384c1f6c90f2ec5b8f6f58d

Observation 7eed477b-2244-4b40-a6b0-52df3544cdc7 · outbound

This paper cites Rivin,A characterization of ideal polyhedra in hyperbolic 3-space, Ann.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Rivin,A characterization of ideal polyhedra in hyperbolic 3-space, Ann

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:18.950585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.713744Z digest=sha256:2818f58ab68f2f5d303f9a8b2bf881406c1b36fdec2f7135d536a41ac465eb5e

Observation 9d62c7ae-25b9-40cf-bff0-1330f6fc65bd · outbound

This paper cites Rodin and D.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Rodin and D

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:18.936751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.717413Z digest=sha256:7bfaf95638438912f4aa66ae19b8f72e112bdd0886f335ceb1da1388fcd9dd50

Observation fe65fc30-8ec6-4d54-8e18-08c214363d0d · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:18.923683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.721183Z digest=sha256:1423de790885cc62fb1898e168b1fc90bd6564f2e54dd2678bd9565728a09c43

Observation cb51e5c7-948d-409b-98a1-77c3feb9a596 · outbound

This paper cites Schlenker,Hyperideal circle patterns, Math.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Schlenker,Hyperideal circle patterns, Math

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:18.909796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.724963Z digest=sha256:a0854f167c9a096fce94ef10e905f3bfc39ac661ee6f4d4e5957aa412d94db29

Observation b8f28a96-1533-4247-aa81-3aec907f23ff · outbound

This paper cites Schramm,Square tilings with prescribed combinatorics, Israel J.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Schramm,Square tilings with prescribed combinatorics, Israel J

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:18.896783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.728693Z digest=sha256:add7247eaab7d899b9a8f3cc3c21c5bff7d292ce881dfafe7aa0a27a449fbc72

Observation 8b8db8fe-e7d6-4152-80ea-bd62f1d05564 · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:18.883409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.732461Z digest=sha256:e970b891067de296ffd5661e5839d96ccd671ce8ada63ee31e1f80f0592574c2

Observation 12cedea0-c7b8-42f6-aa87-bfaeee2c5756 · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:18.870754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.736308Z digest=sha256:1cebc239a9a8318ed869a1ef109816842be935e897643f37498e59877e21cb8e

Observation 0eb04838-0279-4a58-abe8-2b033d88082b · outbound

This paper cites Stephenson,Introduction to Circle Packing: The Theory of Discrete Analytic Functions, Cambridge University Press, Cambridge, 2005.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Stephenson,Introduction to Circle Packing: The Theory of Discrete Analytic Functions, Cambridge University Press, Cambridge, 2005

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:18.857325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.739930Z digest=sha256:ce4d2ddb571750a885cefa424d391ae68b71fc2bd3f483ff02674026863161c1

Observation 1a3632ed-d2c3-44c9-96a2-c00c74e01e8c · outbound

This paper cites an unresolved cited work.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:57:18.844646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.744220Z digest=sha256:575ea935f5f39003ecbfa564d76edbd4c69b19fd89b9d96cce2f2e75ae099d9a

Observation a31a7635-95ee-4148-b85d-7585c3d80870 · outbound

This paper cites Woess,Random Walks on Infinite Graphs and Groups, Cambridge Tracts in Mathematics, vol.

A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra Woess,Random Walks on Infinite Graphs and Groups, Cambridge Tracts in Mathematics, vol

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:57:18.832097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T14:57:18.747952Z digest=sha256:22c6d05eedf4cdddcba90b14e4c51ba003f73434326ddc79a91006c84613cf9e

Pith citing papers

No inbound Pith citation observations are available.