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Paper Citation Record · LEDGER

Critical long-range percolation III: The upper critical dimension

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.107820Z digest=sha256:c4301ba238a94a02ca190120e238f26b7832a1a9054c12b17338f87a36d41c83

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.114565Z digest=sha256:1ec6328e5d42b9650c318dd9e6ca9894354f159daee02b3da86db9e3d189e70a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.121817Z digest=sha256:57e03dc8dcb739f5ee9d63da54550d5fd7fdf73d6f304267a6e803e207d29fec

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.127406Z digest=sha256:f8681ccd87df3bdc18b2a3e11c06346d4cbdf266bba0be4bc99d2fa3f8d6e17c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.133337Z digest=sha256:c4504fcdb910f5e0b503fa2a5ecaae18c5172dcefafbcc41e9314de5d212f89e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.139008Z digest=sha256:f34ad11c9e660f53807e67424e6ee0458552bb0711697c6ed7ad966d1f9c4f18

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.145511Z digest=sha256:f829bd14869b6a8cf7c5ff61c2e336f898841cf61be4541b804a38d4483a3208

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.151082Z digest=sha256:6963cf57398927df9383c731110b3c411f11bcdaede84cf5f077bdd7d9490627

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.157016Z digest=sha256:1e8713d3b32bea661cd8ec764389eeef84b874fda0a381e77c419e53c5405f87

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.162584Z digest=sha256:15e88a29a3eae49487195e4de4bb2fc14bea13112a8968f39d22dd23433f8ded

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.169095Z digest=sha256:2ebc08e2bad8faba66ef7c4f5362010c136df25f721fad8c497939fcfe7e7239

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.174600Z digest=sha256:1621ce944f89f26ff9d0a4fc66cd3efc5ba8bf82c041d03db3f2d3a99486b09d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.179513Z digest=sha256:4cbf06cf85832e861a80fcc671e3d7fb75c7cd63c923af740303ebe88ad56d88

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.184636Z digest=sha256:09038144db210a5b77b45224faace89c42520e767acfa22d32bec1d001c5ae5f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.189579Z digest=sha256:48195601c1dc0335092313da828d6390b13c5359ed7930eeea749d27c009486e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.195200Z digest=sha256:8fde735f5988473c4627fe82217ea505b17885bee767fe661b78a1c731b4f705

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.200052Z digest=sha256:51bdd9b1d91859d7eb95afe89669e78ba46f157b46e076f360891e8f26c2061f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.207582Z digest=sha256:2d922f82ee9db17e14ba426731e38c3bd98d9022e1e060077a6bb80910021067

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.215500Z digest=sha256:83c22adfe8d939f5ff7b4483fb13c2df61be0fe0051042b6153686c0c1123cdf

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.221821Z digest=sha256:7ce96d5c214e1a82c8aa56f53faa8ce1675033bb3cd85edd0ad19e10bd43ea06

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.228721Z digest=sha256:1219f1094f79b6f68bfe3e8c9930363ab1edbe3524221ecf8aaecebd9317044d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.236308Z digest=sha256:adc085036894463d8c05e102ec252074efb9164d952051967a2a1fa0f32cf32e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.246637Z digest=sha256:b2d40629270fd244be5f7beb1e1ea4c994790deb7440f78de719648fa40cf5ce

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.251683Z digest=sha256:93996e2931853c488c78ceeee9e97e183de7d4929bf0857c110e2c584b6a042e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.257173Z digest=sha256:59f82d27fd3aac6c842a697b0c78fab3c06cab36918777ae940a94a2fff940ae

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.262058Z digest=sha256:d1f8ceadae50c063f1863fc11130eceb94f03dc1390fc70c109d4e35f714e705

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.267573Z digest=sha256:eb15ee398762d5e3314a1eb1f0951be8b7e51f2ae6784e75b010a08d501ce9f0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.273661Z digest=sha256:6e0e503b42abbad3ef8ec7d8e5f47a075b46c5dc056f8b2f69b5b669d1a691ce

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.280324Z digest=sha256:3d489d4e1409fe8c7be14a9ccd1c5e0665281b3addbb739b314db79b158e8af8

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.287221Z digest=sha256:10cb7b55b65a260d11cde9d0751e0af6d3e3350fefe44c3790584e47a9473c30

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.293462Z digest=sha256:b1198723a079c97a5678a8e0a156abb9b4197c5ac856251f8105b8a46b40ac17

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.304770Z digest=sha256:e9cb1501404e2a410a2d395f02944b824ead15844eca3b240e89294a4f554190

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.311087Z digest=sha256:9fdb24e4f1dd4bc9b0250fb3d403e43ed07aef217709024540ac96ee50e7019f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.324150Z digest=sha256:b743f29b1bfcf5c8774de38b2726d167b12d71775da40351fad26fe9efa6e63e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.329579Z digest=sha256:6cf9324bc6c79f45f1c69d6ec8c8ae460e57782036805930753513f22a0adea6

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.335785Z digest=sha256:b324cc055e05a747108583afe08e02c61fced1ea565432511fe551984379d53d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.341705Z digest=sha256:ca27f4a05c79e5fa902113d470ad1e348881a1909a5c2f0850c0e114ae7ed51b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.349121Z digest=sha256:60925c11b257c16559b2bf8e74595919143826dff57392f0cfbff0dd6057eb2b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.354423Z digest=sha256:eba5d7445a9ec25494ef3344e3a0566f614d7fc8444da111b543a49a4eb50acb

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.359557Z digest=sha256:54bccd976fb3a6047ec600cf05d01de78dd5a831d67ef11af687ebd5194edcf7

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.365726Z digest=sha256:ceaecc229e80fad6ad714d310135bc600b390be40b8fe97c1ce948301882f360

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.371870Z digest=sha256:ce59036e0374c3a98bd18f71a20b892627f2b467bd4ea5182acfccb42da1cabf

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.376898Z digest=sha256:89fa36bbe961026e69e63ed87462bd5838b9d0ab6388e35cc28edb8875fba89a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.382194Z digest=sha256:92600cb1b6111c71f548274a3fcc637ec2da504e94576ce35b459289b723d544

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.389084Z digest=sha256:df71504e3c023a658041f2a36d322b9bd94d574087377f73232da881da561a82

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.394659Z digest=sha256:f26b707ec51f000693508c768ef3f8d5bd607706f1a5f8250a3425533607bca1

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.400866Z digest=sha256:e72bf345c947cf7826dbff922e1318ab0c308781554f8e927238198211f797ea

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.406254Z digest=sha256:3a3026dd4fe1bd30924ef27e2116810a12435e13e912dd055e1007d948a549d9

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.413532Z digest=sha256:ebbb3651e0baefcddb2461305f736ba43174edd9d5941d24e95b5dc145e2f4ad

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.419788Z digest=sha256:d3d4830c2bd70d537d9deda05d735d6e97dc565f2d6bb5b973e5e871904f4e08

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.428137Z digest=sha256:f6687f2091c36d00afbb4d573421eaeec779e63012d8b9592c7a2f778cc0faba

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.438440Z digest=sha256:913f906631a8d1b13353bc45daa2e1d99dae08fd3ee10812c733c87db1cb82a2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.452794Z digest=sha256:74982edd8698d1f9c357cac15ff8aeeaefecb889a093a6ed7e7c277ac805e409

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.461102Z digest=sha256:fe94194ab52ef66233aac5c7bdf33d78c38c072760b8ef7eca43002ea40bcfc0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.469624Z digest=sha256:9f2520e944a81f70d9c9da9d9f944aa0913e126abb2fddd666e2ec6d6620d232

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.476430Z digest=sha256:62adf6269f8356e4ead638710c135a4b066ce675b01d42d81b99b7096929be0b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.485010Z digest=sha256:1a346c4c3a474fa9d874be99c159f14bd2c36799f7af9a0d76ad3f92d02b1641

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.500222Z digest=sha256:57cde0de18a75ae9a9af270853d28cd661db1dbd0ad4cbc5d2207a961bf2d555

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.507879Z digest=sha256:e2f623860dee75c6a2c8cd045b3feffb4b4c46e8bdd570955592ba7efd2000db

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.518347Z digest=sha256:d40703e189e5d2a0734033a38ac8727946f51402ce73826f735b955c087eff77

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.536702Z digest=sha256:903ef2c1a2eb939e395d01f152708eba517dc43215130c69aa7d71d2cd932f0e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.543167Z digest=sha256:bf7425f30fda5122bd5a011e00c312b5152559d467f270bf8fbad13d5cbfefa0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.551475Z digest=sha256:96ab4347f256d7326ffdffe5335023c2133dbb9c9b9bad4277de58b4f4a51397

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.559215Z digest=sha256:438703a7f4cb7a3c090a5df2e0b15e4d3d791950af106853f3a547ebd9cb2d8f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.565823Z digest=sha256:a1fca812da8f5e479b4e296319f426d0aaae16f06b42abb2ddee0613088279d5

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.572274Z digest=sha256:e8dec8fed2fff43efe5b473c6bc24f268cf7ecaa4eb63829f16448f0cf0f7c3c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.580779Z digest=sha256:1ca97dba043fc1ec761fc278fc7b767940e4badc6bee6ea511f808d7abbb122b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.599390Z digest=sha256:2110f083bbae7f7c7790ff04b9bd51e1093a4ff088718674dd60d4a6af15435a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.611637Z digest=sha256:1f7260bacec779df7ce852b97a7d1dfb0accb7ecdf7431dd55777206d2043f93

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.624897Z digest=sha256:e4e82a946b6ac6c2f1bca9bf482ac3ac1d4c3d7bfc965228370dee88eb38791b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T16:17:26.634055Z digest=sha256:bfb2559d6d2dcbebf0d0d988c50decc629aff8fcc6204b597c8c05ed4ff29a16

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-11T01:21:29.711127Z digest=sha256:78f6ba081e09681e18307eb0ed4f636061c33ae5c9af6f8e979f0704a6ed5448

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T03:01:13.767579Z digest=sha256:3d19287e1e6a01ef31c2736350d0882c13bdbcb0fc5da978b394e3137a117163

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-22T08:48:51.823143Z digest=sha256:be6d22e690821725f552c93a5459f8c90557fb0bf293aaf8d2ccb68c723bef80

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:b7c2f0dce33dd7a7b7d3190403655e4e2e7ba6bf79a54cdfe4b66d986ac58072

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-26T09:58:52.160076Z digest=sha256:0c3e215aee123af1dc2d6b27a31b0a7a03db67adb8af9a5c155fde37e347f56c

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

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Unavailable: canonical work link unavailable.

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