Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:52:13.863004Z
Paper Citation Record · LEDGER
As of 22 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2507.20833.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:52:13.863004Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
67 of 67 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d22c174b-5fd4-4d60-8db3-8a08498ed68d · outbound
Potential Theory and the Boundary of Combinatorial Graphs Agmon, Lectures on exponential decay of solutions of second order elliptic equations
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4007245d-54f9-455b-8213-3aba492d03a7 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Alexander, Generalized sums of distances
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 754fc4e8-c54c-47e8-a220-e68366919b91 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Allegretto, On the equivalence of two types of oscillation for elliptic operators, Pacific J
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d9b8e7ce-998c-4f60-b590-46f5abc9b8ba · outbound
Potential Theory and the Boundary of Combinatorial Graphs Allegretto, Positive solutions and spectral properties of second order elliptic operators, Pacific J
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3563588f-61de-4af6-983c-8fa2f66a1587 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Alexander and K
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 87334ff7-77e4-4648-8980-2ffbd5466d9e · outbound
Potential Theory and the Boundary of Combinatorial Graphs Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a4ffbf86-199a-41ab-a739-f5ecd1b7b8ce · outbound
Potential Theory and the Boundary of Combinatorial Graphs Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6aadc1a7-dbdc-4113-afbf-1be74df1a543 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Bakelman, On the theory of quasilinear elliptic equations
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9971aa38-2ccf-44b4-8884-991ef271cd0c · outbound
Potential Theory and the Boundary of Combinatorial Graphs Balinsky, W
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0667f857-93bf-49ab-8a37-e21ce075d2ce · outbound
Potential Theory and the Boundary of Combinatorial Graphs Bieberbach, ¨Uber eine Extremaleigenschaft des Kreises, J.-Ber
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cc1f7540-637d-4fbe-b894-1d744f99731b · outbound
Potential Theory and the Boundary of Combinatorial Graphs Bjorck, Distributions of positive mass, which maximize a certain generalized energy inte- gral
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 68753f4a-0931-4213-9401-2b66ed234199 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Brasco and B
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e3abe20f-dbfe-4eef-a0c7-0dafadea03ab · outbound
Potential Theory and the Boundary of Combinatorial Graphs Burdzy and W
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 38d832a1-c10d-4a1c-a46f-980321160aab · outbound
Potential Theory and the Boundary of Combinatorial Graphs Caceres, C
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8ea23b6d-e5b3-4085-93c0-639e295bd1d1 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Carando, D
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7f4ac322-fb30-4164-bad1-b4ca63f53217 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Chartrand, D
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b58774c4-a999-49fd-9f51-e896a1c6c74c · outbound
Potential Theory and the Boundary of Combinatorial Graphs Chartrand, D
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 14656638-2161-4f76-a627-ca51508a3252 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Cheng, M
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d5ad93dc-6373-4172-9bb3-66a0ecec5455 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Chiem, W
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8eac6994-d295-4c0e-a4db-ac794fab7429 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Brian Davies, Heat kernels and spectral theory, Cambridge University Press, 1989
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d43c4b61-b3d0-47fc-8439-425e5fe6c8f3 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Ciaurri and L
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8f4b73c9-3b6d-4df5-b084-8a20f3284223 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Convex sets can have interior hot spots
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4cee96fd-35ab-4b93-81b4-61defd1afbbc · outbound
Potential Theory and the Boundary of Combinatorial Graphs DePavia and S
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 818a346d-7159-4144-8ded-640440ab90a1 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Eroh and R
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b1c6f7bc-90b1-4d98-b86d-1c1a40c7cc3c · outbound
Potential Theory and the Boundary of Combinatorial Graphs Fischer, Hardy inequalities on graphs, Doctoral dissertation, Universit¨ at Potsdam, 2024
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b37e3f58-2d6c-443c-85f8-408884eb0bbe · outbound
Potential Theory and the Boundary of Combinatorial Graphs Fischer, On the optimality and decay of p-Hardy weights on graphs
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 419d033e-be03-4dc6-a644-5915342b0ca2 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Georgiev and M
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d6ec89ff-4a80-40f0-a6d5-9e317f0e95f3 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Gupta, Hardy and Rellich inequality on lattices, Calc
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e0a992e8-67b7-48e6-8925-b301791e6184 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Gupta, One-dimensional discrete Hardy and Rellich inequalities on integers
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 006c8928-0092-430f-9a9d-2811406c630c · outbound
Potential Theory and the Boundary of Combinatorial Graphs Gross, The rendezvous value of metric space
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7a613296-c58a-4b19-adfe-4b6fa8775cca · outbound
Potential Theory and the Boundary of Combinatorial Graphs Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9c37abb1-e264-4e02-b6ab-73569e0fb2ca · outbound
Potential Theory and the Boundary of Combinatorial Graphs Hasegawa and A
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ddf91de3-65d7-4a1c-82b3-09c29158f6eb · outbound
Potential Theory and the Boundary of Combinatorial Graphs Hinrichs, P
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0b8a6797-6647-47ff-b2c1-5d612a88d5f8 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ad0ccfe5-2e86-4892-b0b0-976dd0f4b022 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Keller, Y
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d84b8481-c60c-4087-b7b6-61d659ec7604 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Keller, Y
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8bbf54d3-83de-485b-b966-e5cf4f57ab89 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Keller and M
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c6073d0f-a911-4a24-9a22-df42f5b299ce · outbound
Potential Theory and the Boundary of Combinatorial Graphs Keller, Y
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 54e27715-19f0-4fe5-b547-db1acf3fa155 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Kennedy and J
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 13acd23e-afca-4f1d-ac40-1840b816a412 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Kennedy and J
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation af372089-e866-4beb-9fe9-eb02f47f75f0 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Lederman and S
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c3e56789-e3d7-4f73-a346-df297e1c627a · outbound
Potential Theory and the Boundary of Combinatorial Graphs Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e14efc53-a193-402a-af29-f3c749e8040b · outbound
Potential Theory and the Boundary of Combinatorial Graphs Lu and S
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e6427b60-ad37-46f3-9b16-dc69c75d187c · outbound
Potential Theory and the Boundary of Combinatorial Graphs Mariano, H
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0341a514-991c-4f7d-81d3-c775d5166408 · outbound
Potential Theory and the Boundary of Combinatorial Graphs M¨ uller, A
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d2d8d92c-e7dc-4053-b8f2-01be1d260438 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Pelayo, Geodesic convexity in graphs
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c3b43cfb-009e-4c92-9084-b23c3e72dea6 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Persson, A
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e13262d4-4644-44ec-a4ee-0503bbd026d1 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Piepenbrink, Nonoscillatory elliptic equations, J
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 73258b3c-83fe-4057-98fe-d0e964f52920 · outbound
Potential Theory and the Boundary of Combinatorial Graphs P´ olya, Torsional rigidity, principal frequency, electrostatic capacity and symmetrization
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d685b383-fb02-419d-8684-7b7646f94317 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Pucci, Limitazioni per soluzioni di equazioni ellittiche
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation dbaac442-3a95-4b0c-a030-53b45deab957 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Pucci, Operatori ellittici estremanti, Ann
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 76759917-0d3a-48ed-ad1c-c23303b4d7d6 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Rachh and S
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e54636a2-1b32-4bd2-bdf9-605e48598370 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation eb5edf86-66f0-4dcf-874a-a2eeae40da4f · outbound
Potential Theory and the Boundary of Combinatorial Graphs Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 64607290-e65b-4d6f-9d77-64dec6c67c10 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2773c9a2-f05c-4cd2-981c-1b6b148c8cde · outbound
Potential Theory and the Boundary of Combinatorial Graphs Steinerberger, An endpoint Alexandrov Bakelman Pucci estimate in the plane
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7b0a3c4e-acdb-4789-bf5c-609f1fc2f7ba · outbound
Potential Theory and the Boundary of Combinatorial Graphs Steinerberger, The Boundary of a Graph and its Isoperimetric Inequality, Discrete Applied Mathematics 338 (2023), p
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c1f1ac05-eade-4cb3-af5e-75125b052aa8 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Steinerberger, Sums of distances on graphs and embeddings into Euclidean space
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a3d5f1d3-2591-4f85-9d23-18b0725673a8 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Steinerberger, The first eigenvector of a distance matrix is nearly constant, Discrete Math- ematics, 346 (2023), 113291
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1b5241b9-7288-44eb-9a5e-8178992d431c · outbound
Potential Theory and the Boundary of Combinatorial Graphs Steinerberger, Curvature on graphs via equilibrium measures, Journal of Graph Theory 103.3 (2023): 415-436
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9143f316-7450-4c88-a09b-bed61529c71c · outbound
Potential Theory and the Boundary of Combinatorial Graphs Steinerberger, An upper bound on the hot spots constant, Rev
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d99a7255-f730-49b1-b961-86c9964af6ad · outbound
Potential Theory and the Boundary of Combinatorial Graphs Steinerberger, The Hermite-Hadamard inequality in higher dimensions
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c9c453a2-6484-4471-ab94-e7222bcf1414 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Talenti, Elliptic equations and rearrangements
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8e01e4b3-6b89-4a8b-a474-d6c6582d6006 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Thomassen, The rendezvous number of a symmetric matrix and a compact connected metric space
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2a0d7ae6-bc3c-47ed-ace5-f1826416785b · outbound
Potential Theory and the Boundary of Combinatorial Graphs Wald, On cumulative sums of random variables, The Annals of Mathematical Statistics
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 83f33c80-5fd8-43ad-bb6f-4cb165fe4e07 · outbound
Potential Theory and the Boundary of Combinatorial Graphs Wald, Some generalizations of the theory of cumulative sums of random variables, The Annals of Mathematical Statistics
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d7cee45f-9e64-4e0d-9cb7-3250c545c87a · outbound
Potential Theory and the Boundary of Combinatorial Graphs Wolf, On the average distance property and certain energy integrals
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
No inbound Pith citation observations are available.