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Paper Citation Record · LEDGER

Critical long-range percolation III: The upper critical dimension

As of 12 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 6 inbound Pith citation observations for arXiv:2508.18809.

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

pith.paper-citation-record.v1
2508.18809 v1

Coverage vector

measured 73 of 73 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:17:26.634055Z

measured 79 of 79 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T05:00:22.741924Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

73 of 73 outbound references displayed

  • verified exact4
  • verified fuzzy44
  • unresolved25
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation d05158f6-217b-44c8-a133-7b425f603aa2 · outbound

This paper cites Aizenman.

Critical long-range percolation III: The upper critical dimension Aizenman

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.593861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.107820Z digest=sha256:52a17f5eb419fa7ba1260fbfe01fa4e7bdc30341e344b4d099f66537298c14c8

Observation 9d4a2048-b95a-4ad7-a562-6e9dc3d7656d · outbound

This paper cites Aizenman and D.

Critical long-range percolation III: The upper critical dimension Aizenman and D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.566654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.114565Z digest=sha256:dfcfe00b0505d5905c9c7d8725ef652731b34c7b892909f7249f075204989b38

Observation 38f91795-48cd-48c4-969c-8af1eff3bec4 · outbound

This paper cites Aizenman and H.

Critical long-range percolation III: The upper critical dimension Aizenman and H

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.535418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.121817Z digest=sha256:7c009222353e99572b8c4ddb0fa106fb456c350200e53ea2eff8a48a49bbc359

Observation 3d5fb87f-9b63-4606-9fdd-daaf7f438ac5 · outbound

This paper cites Aizenman and C.

Critical long-range percolation III: The upper critical dimension Aizenman and C

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.506155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.127406Z digest=sha256:6ea3607a61c6078e451bf5d706b1ac3057fe94daf4e489b1ae5161998854a0c3

Observation f60d87b2-4d77-4929-9da3-94656daaf90c · outbound

This paper cites Aizenman and C.

Critical long-range percolation III: The upper critical dimension Aizenman and C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.473631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.133337Z digest=sha256:aa1548ba93857426c724aea7a00dd6d84dc78f421481bd2592f3d34832b7d7e5

Observation 1e28408d-b2f0-4a02-a04b-b57a749a1818 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:28.438901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.139008Z digest=sha256:cb781531abfabb669aa708e0432e0648c9ddab79f735a8ef9b16356319aeb20f

Observation 17fcf3ec-6013-4f5a-a705-48ad42bb1e7e · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:28.419072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.145511Z digest=sha256:8669dd38e3802a0005278187ac65793aa1b15d5bada8a52a797b607308fd42ca

Observation 13d0e501-6658-48fa-b0dc-ef68824409a1 · outbound

This paper cites Bauerschmidt, D.

Critical long-range percolation III: The upper critical dimension Bauerschmidt, D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.400053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.151082Z digest=sha256:6806195c3a2a2cc6a0724fc1812617fb3dddac6df560b8b04d5111c353798696

Observation fd4ea56e-1660-455c-9591-4e88357cdfc7 · outbound

This paper cites Bauerschmidt, D.

Critical long-range percolation III: The upper critical dimension Bauerschmidt, D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.383474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.157016Z digest=sha256:e960594c99a610fe3a8ab1ff18742619da05d9138bf5242a192fed92d4e7935a

Observation a93e0a7e-3adf-4513-903d-9a7cb8b89ce4 · outbound

This paper cites Bauerschmidt, D.

Critical long-range percolation III: The upper critical dimension Bauerschmidt, D

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.365155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.162584Z digest=sha256:7fb8a2de25cc7808bd581d9f256883a2f50a1878f81edb4a917f6f9fe4732270

Observation 9212e7ca-4686-4a14-8de4-5f0e3e35d469 · outbound

This paper cites Bauerschmidt, T.

Critical long-range percolation III: The upper critical dimension Bauerschmidt, T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.344807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.169095Z digest=sha256:728cf6d185de754d6382a650e3e9cb9daf71a05883ff5081630e37822408d9da

Observation ddcf09f3-43a4-4be9-ba77-52114292986e · outbound

This paper cites Bauerschmidt, G.

Critical long-range percolation III: The upper critical dimension Bauerschmidt, G

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.327059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.174600Z digest=sha256:1342600a4355b9b7734173bb35815c0ffb17aef9d23c2b19546bf817673060d7

Observation da40f914-6a63-402c-9e8e-1be6a6091778 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:28.307296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.179513Z digest=sha256:30a4f78c66d899523fd4394ccfa5dedef2a521ec1cff541b7e87e0cbb1a80b37

Observation 0214df74-0f6e-4469-a9e6-9844fa93c711 · outbound

This paper cites Bäumler and N.

Critical long-range percolation III: The upper critical dimension Bäumler and N

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.286178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.184636Z digest=sha256:25dd3e54d7d4e3bbee8794d5ebbee4811db19a39c6e7c78b977f3bbf69a6d209

Observation b6e98884-7c1e-4979-a6f1-4d43133d2bc0 · outbound

This paper cites Benjamini, N.

Critical long-range percolation III: The upper critical dimension Benjamini, N

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.258960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.189579Z digest=sha256:65fa31d9c90f71d1d29ca11a8ff8e7116dae37bdea4980a01362023c60c044ad

Observation 56433814-0ed0-4f6a-9b05-5e82267f57cb · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:28.232098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.195200Z digest=sha256:be15e25b6204cee84b406497ab7e465832eb38acceea986521983edae88ddd20

Observation 3b51f465-1fde-4dd4-af5c-983b5ac0147c · outbound

This paper cites Biskup and A.

Critical long-range percolation III: The upper critical dimension Biskup and A

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.211595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.200052Z digest=sha256:1e3937455d36ba2d89ebeb37532a726d26c88e968dd3e3b30692928c17889ba6

Observation d69ef964-65cd-4d96-b74c-4806bcfa6d7d · outbound

This paper cites Blanc-Renaudie and T.

Critical long-range percolation III: The upper critical dimension Blanc-Renaudie and T

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.189205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.207582Z digest=sha256:bd3b693060fd50489385b212fc2ca7a9eff5ea3ea419444a1b84d771e1bb57d9

Observation fe0d14ff-d162-43f4-b7eb-813c6d750a00 · outbound

This paper cites Borgs, J.

Critical long-range percolation III: The upper critical dimension Borgs, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.170081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.215500Z digest=sha256:5bbdff6b2f40a4801d9f979aa771e6e11b84ef51094e63b9538278a4b9944c43

Observation 94203b46-8914-4dc7-8e36-51021bf49987 · outbound

This paper cites Borgs, J.

Critical long-range percolation III: The upper critical dimension Borgs, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.144361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.221821Z digest=sha256:177241589df95759161496dc3433bba3b2c5b76af92e9e7ccdc17f80b3732ae1

Observation 4ee6d939-dbb2-464d-bec0-5db9d405b6c8 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:28.124861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.228721Z digest=sha256:0ff07b105d6a675e6577da4dd9460be87c9d116e79ea6c0de235c8c2bf3cfe9a

Observation d4710a9c-81e5-428d-9b78-324df7ee8e15 · outbound

This paper cites Chen and A.

Critical long-range percolation III: The upper critical dimension Chen and A

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.107097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.236308Z digest=sha256:99f26d80ee80a2bc0b7f504f8e3d5da35a4c48ad96593f456b25d51d77f0a3b2

Observation be0380ae-cb8b-479b-9534-03f394e3cb12 · outbound

This paper cites Chen and A.

Critical long-range percolation III: The upper critical dimension Chen and A

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.088527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.246637Z digest=sha256:5e4356def4cbdfdaf8181ffedbe095f8c2c44106cd1f72bc0930d62d1aca7c41

Observation 5ee11f3f-b806-4854-99d7-a462979f9328 · outbound

This paper cites de Alcantara Bonfirm, J.

Critical long-range percolation III: The upper critical dimension de Alcantara Bonfirm, J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.068577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.251683Z digest=sha256:acf94943931f930f0844f21f9135d4d6c6f98dcd6fdd04a380b1e9c3d7c4dfaa

Observation 45c8b375-5eb3-46f5-8321-8fbcf998c9d0 · outbound

This paper cites DeMasi and E.

Critical long-range percolation III: The upper critical dimension DeMasi and E

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.051131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.257173Z digest=sha256:f17b5a670e6330a5da2f15eec2f9152f5757c5baab884fbd6029ecc5f7579741

Observation d94e1400-cb81-4ea2-bfca-368b6bff8a80 · outbound

This paper cites Uniqueness of the critical long-range percolation metrics.

Critical long-range percolation III: The upper critical dimension Uniqueness of the critical long-range percolation metrics

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-05T16:17:27.038922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.262058Z digest=sha256:cf717c5b14d269dcb13d517e599ad1fce68644fab0004064d1575ed349a87e08

Observation e9afc941-45c7-4586-8352-352599efe96d · outbound

This paper cites Duminil-Copin, C.

Critical long-range percolation III: The upper critical dimension Duminil-Copin, C

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.030458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.267573Z digest=sha256:15ca2021672d1a9fb5d8d13f266ec5c707ddab05fae27bdbb3548dff989528a0

Observation 7c90ec68-434b-496e-8301-3b85598c5153 · outbound

This paper cites An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions $d>6$.

Critical long-range percolation III: The upper critical dimension An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions $d>6$

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-05T16:17:26.992996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.273661Z digest=sha256:5e281812c13667d8dcd2fec732ccc4bf1133b3b4059e19b4b01ae7bcf17814bf

Observation 1f09ea9b-a38c-43ed-a0a6-a3beffc1ed47 · outbound

This paper cites An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $d>4$.

Critical long-range percolation III: The upper critical dimension An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $d>4$

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-05T16:17:26.960087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.280324Z digest=sha256:6e06615a8ff8cb412a2c247b0786a5a7cf5e6a4833ccf9860e3f250157a30058

Observation 0e6c096c-7481-4061-b438-0cd8a2283458 · outbound

This paper cites Duminil-Copin, A.

Critical long-range percolation III: The upper critical dimension Duminil-Copin, A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:28.012967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.287221Z digest=sha256:ecb12871d31908f94d098dcf54a04ce35e50b323842e9d62b776f25178df508c

Observation 08e9eaac-f496-41d4-8d01-47a10ef49a3b · outbound

This paper cites Durrett and B.

Critical long-range percolation III: The upper critical dimension Durrett and B

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.994902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.293462Z digest=sha256:4c8eb0fd017cbc61d953caf5e911d1ac532dfce7eeda2b48748511b9bec16e85

Observation 393860b6-fa0d-4e61-ad92-8c8ed08d5642 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.976285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.304770Z digest=sha256:f33dd3aa7565b8ae9c5cae26865c2abdd6357bdf783e95ee15b4804220a8354f

Observation 2efcc42e-bdde-4b1d-a893-68fdc81b843a · outbound

This paper cites Essam, D.

Critical long-range percolation III: The upper critical dimension Essam, D

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.956716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.311087Z digest=sha256:ce52b32219cfd818d98c7818d772271becc90d4b311c99dc15964e0dbbb338f8

Observation 9f8c86e5-0abb-47ba-b6b3-ac2f25d75b71 · outbound

This paper cites Percolation Inequalities and Decision Trees.

Critical long-range percolation III: The upper critical dimension Percolation Inequalities and Decision Trees

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-05T16:17:26.317533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:17:26.317533Z digest=sha256:b2a479167cc437662250e60e3a1032a62788390ee4bf5ef65e25d95444dff0ca

Observation 8469dc15-d439-43e8-95b8-2628bfb050d1 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.938653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.324150Z digest=sha256:2ce73101e37cdef7c7931e826c0555c990da0a8327f6009661829206a3a410bb

Observation 04d63ab2-ee19-4c00-be98-2c1319658698 · outbound

This paper cites Halberstam and T.

Critical long-range percolation III: The upper critical dimension Halberstam and T

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.915932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.329579Z digest=sha256:8e561c613d9e5258e6916cda9ca9b9d1d769d25c23e17a8f1a53e9f0c4c42f5a

Observation 490f3b39-e06c-4504-a3e1-97b44a20f765 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.897507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.335785Z digest=sha256:349110e66ad98a6830a6d03d349dc21cde42b1b5b4769e38db6d6a40503cae2a

Observation bcbd24d9-7e8b-4cee-b81a-696f239ccdf3 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.878979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.341705Z digest=sha256:cd211487104eea7d6840aaef6ec4d0220bcf5062acc0c3564cbb2d29905f992e

Observation 01062247-7291-49e7-aa01-eddf59ef222f · outbound

This paper cites Hara and G.

Critical long-range percolation III: The upper critical dimension Hara and G

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.861450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.349121Z digest=sha256:11e566ab5fda4d9c38a7cf8b9861669dafa4cbb3fb5a65c18dc3613c5c9d1898

Observation 8499f414-e4cb-4f28-a94c-3ce02fca445d · outbound

This paper cites Hara and G.

Critical long-range percolation III: The upper critical dimension Hara and G

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.844617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.354423Z digest=sha256:dfeee544be890ace1d466b13eaccc052ae53e7ad0ef083e9535052fa979775c4

Observation f855070b-3852-4e6b-9718-baeb3ccd1bf4 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.825706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.359557Z digest=sha256:aa83d9992e0b5b9caa2ae6fa5f89c41bbf49af3e23ef339ca2bb9808131a9610

Observation 6bbd34b9-3c50-46c4-98f9-722996562ba5 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.805369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.365726Z digest=sha256:87194354e64594a34a20981b453c665b1c3ff266ed51b43029d6ef6d14b2916c

Observation c5be3e07-2119-479f-aa66-6d8b76cabe5a · outbound

This paper cites Heydenreich and R.

Critical long-range percolation III: The upper critical dimension Heydenreich and R

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.788021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.371870Z digest=sha256:c9c767a6b3c4e78a4b96ee30094875ecfd0f27b25b627229c3408c4fcd6989a7

Observation d1e329d1-1763-45aa-bd89-67b8cbe78978 · outbound

This paper cites Heydenreich, R.

Critical long-range percolation III: The upper critical dimension Heydenreich, R

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.769528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.376898Z digest=sha256:dedf2531440ba8dd1497fe119fab2a284619289764f84e6534b713ea8abac722

Observation 12aacd98-c70f-4806-9aed-0de57570db81 · outbound

This paper cites Hutchcroft.

Critical long-range percolation III: The upper critical dimension Hutchcroft

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.749352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.382194Z digest=sha256:049699a8e089c4b679095c73d56626657589d6f347a16513b7f81c548a35f7d8

Observation 5ab69d73-ab1d-4934-af9d-9a2fc3cf601b · outbound

This paper cites Hutchcroft.

Critical long-range percolation III: The upper critical dimension Hutchcroft

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.729108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.389084Z digest=sha256:e2c28c9ce1004b9378291ba1643b154d13b156ffa5c2a3e769ac647af1debdac

Observation 5532bd72-ba8f-4a5a-902b-58f63c3f53b0 · outbound

This paper cites Hutchcroft.

Critical long-range percolation III: The upper critical dimension Hutchcroft

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.702285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.394659Z digest=sha256:e1f96620ad40f16b3eea521439b4c90358942daac616782ab568a1cb424dae12

Observation f79fc506-a4b8-47ce-b53b-3f7d41a14d54 · outbound

This paper cites Hutchcroft.

Critical long-range percolation III: The upper critical dimension Hutchcroft

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.680320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.400866Z digest=sha256:6d58f0cfc32b4661ca947eaca457121741075901b8b1c5d1948481b554b00a82

Observation a7fff0a6-4dc7-4b25-a2f0-ca88c38005aa · outbound

This paper cites Hutchcroft.

Critical long-range percolation III: The upper critical dimension Hutchcroft

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.659631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.406254Z digest=sha256:1187cbe1b80c710853391c569a3e6313f35ce05bf20244f0a2aab305f07ca20d

Observation f876de11-5c4c-41a8-b69e-47535f9c6611 · outbound

This paper cites Hutchcroft.

Critical long-range percolation III: The upper critical dimension Hutchcroft

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.634595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.413532Z digest=sha256:d1ac86bd2522540def74139d68ef2424267d41d54d64d38d2239bd480376f1ae

Observation b799e6ea-8967-4a60-9147-b23f82debcea · outbound

This paper cites Hutchcroft.

Critical long-range percolation III: The upper critical dimension Hutchcroft

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.607903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.419788Z digest=sha256:0c470873222068c20315b8641a404985b8ccd8097be0e3bb2c8603158b68a404

Observation c61d5570-b8c6-437e-a77a-47dede5d0770 · outbound

This paper cites Hutchcroft.

Critical long-range percolation III: The upper critical dimension Hutchcroft

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.585543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.428137Z digest=sha256:129f6c65377be95ecbbec03a8c9764bb59484b712338b3ca8a744cd64e126cfe

Observation ad8f3a6f-e46b-4987-8ad0-0f99da11e677 · outbound

This paper cites Hutchcroft and P.

Critical long-range percolation III: The upper critical dimension Hutchcroft and P

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.565102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.438440Z digest=sha256:84a5595595f07315998677d41006e77e53ac4ce744e432b06c0ba92c104311f4

Observation b44ae311-0e4f-4eea-91c3-802ad5c2fb61 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.528152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.452794Z digest=sha256:f984576713a537e7813a65a8d6d0a31cc3e5089e749ea64f4334e7f00b40372d

Observation 21a6572f-fe97-4fec-a50c-a225d9b0e7e3 · outbound

This paper cites Kozma and A.

Critical long-range percolation III: The upper critical dimension Kozma and A

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.502055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.461102Z digest=sha256:6d7358090a331127eaf9b95bba97cc24b55f24baa79ec3f71d2d3be01feb37a5

Observation 67482b10-881e-4f0d-89f7-df800544ac99 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.476329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.469624Z digest=sha256:644066549cedcb0c7df6b049878a4f975455c4d3c009857566730eb21493b78a

Observation e318e1dd-bddd-4ce2-82b6-3daa60ec81ce · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.452730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.476430Z digest=sha256:de434ca2dd33fa525b2af8191a831beb98b8715b661b1bf3579509ebfab7af65

Observation 78310c5f-2754-4126-91e8-a5be9139c7f1 · outbound

This paper cites Le Gall.Spatial branching processes, random snakes and partial differential equations.

Critical long-range percolation III: The upper critical dimension Le Gall.Spatial branching processes, random snakes and partial differential equations

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.427919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.485010Z digest=sha256:ef78d80e536193981521adf23ff0c484bd14f8d65bdc4575a9cfce0cf7f92c28

Observation c0c2eeb6-2b68-4149-a583-d10539a2f562 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 59

Resolution
verified exact
raw_fallback, observed 2026-08-05T16:17:26.866708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.500222Z digest=sha256:a2ae1d25988ee4bc21423df3939a8688c5071428ac35d5842cd7559f9a8da4ae

Observation 4d4b19ab-9755-44a4-9f32-4136850a541a · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.400003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.507879Z digest=sha256:47f707beb97d5b9324a43d4922a8603785363869087e44edd3bd1906b6c9a809

Observation 0aecb7fb-08bc-428c-b9f7-e3d4bddb572d · outbound

This paper cites O’Donnell, M.

Critical long-range percolation III: The upper critical dimension O’Donnell, M

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.372084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.518347Z digest=sha256:8eb53c75c809b85a9e4756b6faa97510926f2cf79afb73235784f54a665f441e

Observation 0109ae76-faa0-4207-934c-e60879456837 · outbound

This paper cites Triviality of the scaling limits of critical Ising and $\varphi^4$ models with effective dimension at least four.

Critical long-range percolation III: The upper critical dimension Triviality of the scaling limits of critical Ising and $\varphi^4$ models with effective dimension at least four

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-05T16:17:26.526433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:17:26.526433Z digest=sha256:3c600669b840c414a501ea62d466a1dd5907f8119db777ad1f51c464e105ae75

Observation c7612a78-650f-401b-9b1a-3a889bb0ddc7 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.340368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.536702Z digest=sha256:e6cec93e0983dec28e39d66f2214566121bcf5d87b3224b30eff22a51654949d

Observation 0e512548-2241-4ce3-bef6-0a86ea7f3b19 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.312201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.543167Z digest=sha256:8d82f80280a3e5d3c584b414ad0316ea11135af46cb73a84886e25706d3303b9

Observation e3c9ea88-350a-499b-9eb3-b00e099ec6e1 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.287067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.551475Z digest=sha256:1113320e3f6ab4c7eb126ad7d824b6657b8809edab46926edc7dd18ff5fc595c

Observation 2e70c45a-7b68-4241-b167-8b93637b843f · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.261266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.559215Z digest=sha256:08e69ea2b3a9f00591df050c9aec4703b27a276a5ab300992dd2beb27a006c25

Observation 374eec77-9d35-4efe-a0be-597f834371f5 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.232862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.565823Z digest=sha256:19c7a962cf40bb53d8858d52344da217265406e3b19d8ce141fbe234c9d63b21

Observation ce8b568a-2e94-4654-951a-99c02ced5105 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.207601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.572274Z digest=sha256:46be19786617346e86627833051fa7fe9787d2bd190dff58ebc87f3157072c91

Observation 6e8b2030-bb56-4048-b13f-a9b433906947 · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.188416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.580779Z digest=sha256:d728d2f78cfd592f736c42c7a3e1a56ab296fb1963c32d1f3041f9b733961479

Observation af129c51-4747-4c51-8f56-195a9e77a909 · outbound

This paper cites Smirnov and W.

Critical long-range percolation III: The upper critical dimension Smirnov and W

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.167191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.599390Z digest=sha256:151a11a6c3d8e757f304f84e03cb4eedf473ce50b23b21ae947c415247103606

Observation 33df6d16-39ee-4057-8cdb-3c97475155eb · outbound

This paper cites an unresolved cited work.

Critical long-range percolation III: The upper critical dimension Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:17:27.140519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.611637Z digest=sha256:81500a5c2934ef92214d94370c760aa50406a4c1e035308479ede228a6a834f5

Observation a89be3bb-6104-4b03-86c0-266d4fdd63f6 · outbound

This paper cites van der Hofstad and M.

Critical long-range percolation III: The upper critical dimension van der Hofstad and M

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.110858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.624897Z digest=sha256:2f57cf9cdcd7c910f057fe76384277e826f3da0e5ff5d26bd5e278d77b0af772

Observation 2cd00909-0a50-417d-bc12-228384d17352 · outbound

This paper cites Van der Hofstad and G.

Critical long-range percolation III: The upper critical dimension Van der Hofstad and G

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:17:27.070907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-05T16:17:26.634055Z digest=sha256:f819db5c828e6f85bee0475aaed841ad65e6f055fb409cd0058c84fa9ea8e0c7

Pith citing papers

Observation ee47004e-4cfd-4282-a8e5-2192790c392d · inbound

A Scaling Limit of Random Walks in the Rational Adeles cites this paper.

A Scaling Limit of Random Walks in the Rational Adeles Critical long-range percolation III: The upper critical dimension

Reference 10

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T01:25:52.069902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-11T01:21:29.711127Z digest=sha256:b5b548d6e42d952f5e1dc352cda1d2f918b619fa0c42bc70425a66cfb446b5f5

Observation ca4621f9-cc2d-482f-8ada-cd2c82e3ba59 · inbound

A random walk approach to high-dimensional critical phenomena cites this paper.

A random walk approach to high-dimensional critical phenomena Critical long-range percolation III: The upper critical dimension

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-05-21T03:03:55.945365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-21T03:01:13.767579Z digest=sha256:623bc059d761553925b540edd4ece1df5c68b6425727300db09b08d636121556

Observation 742ed544-03a1-4475-ab15-9124e514080a · inbound

A random walk approach to high-dimensional critical phenomena cites this paper.

A random walk approach to high-dimensional critical phenomena Critical long-range percolation III: The upper critical dimension

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-05-22T08:51:18.302796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-22T08:48:51.823143Z digest=sha256:fab8ab46103a896bc9a0ef010cd52c755ce44ed4d80a90dbe70055690dade6d2

Observation aa6a884f-bd1d-416c-b10d-c65cc274c099 · inbound

Percolation on hierarchical lattices cites this paper.

Percolation on hierarchical lattices Critical long-range percolation III: The upper critical dimension

Reference 25

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T07:57:44.743753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:5572e0dcf6779ea9c7d16092b7c48c3033620a409e5d8b3025caab094d89afb8

Observation 3384e374-25f1-4003-b0b7-5464331d416d · inbound

Perturbative Renormalization and Universality Diagram for Long-Range Quantum Criticality cites this paper.

Perturbative Renormalization and Universality Diagram for Long-Range Quantum Criticality Critical long-range percolation III: The upper critical dimension

Reference 41

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T09:29:43.658123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T09:58:52.160076Z digest=sha256:d04c778f59342209fbaa091bf5898d722fec3684b0a59f7ed13a2994633ca5b8

Observation c8010b77-402e-44b9-a61f-9f293994462c · inbound

Super-Brownian limits and the $k$-point function for high-dimensional percolation cites this paper.

Super-Brownian limits and the $k$-point function for high-dimensional percolation Critical long-range percolation III: The upper critical dimension

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-01T05:00:22.741924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:00:22.741924Z digest=sha256:33b85d4ad1795c4b339ee595ab2b5508f6932ddfba5d1e595ae3f75be326fa54