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Paper Citation Record · LEDGER

Critical long-range percolation III: The upper critical dimension

As of 7 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.107820Z digest=sha256:4ebf3003f42f3db77171c49e7c35b4395aaf5ad039e7029b4ee821a99fdfa2ee

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.114565Z digest=sha256:b85e43632f081dd4567394b9b1f5873ae2e99fee61d653eeed27be1683d0c9d3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.121817Z digest=sha256:a99998dec1295d4a8cfaeb4938caecaf9d5e6959661bb55b305d4d64d4465899

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.127406Z digest=sha256:437a881a0813090ff49c99adcf90f759a59540a376837e1bde5f08121100a680

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.133337Z digest=sha256:5b7af2d8704f0ab430ac49dee3516f53d4b4e994b04d2882a189909f8e6e2b00

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.139008Z digest=sha256:35948b54c33198916177038a5be72a315e80147352864122a187c530050a171e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.145511Z digest=sha256:9960901510549bc1f21366ac63280a62492d1e6478b500ad85dcd333eb2f2da0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.151082Z digest=sha256:2c766105f6b39aabfdd2d0a2f833e2549753a376e2afb5c5e92bd05cdd47267f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.157016Z digest=sha256:6cd0d590c3f3a033d49497d9ad4bbcadb48054fed6312270a916ea190eff4485

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.162584Z digest=sha256:c7b367104a24343d979d32ce6c855f00d3481045a57b0484207030846bf4a20c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.169095Z digest=sha256:e6319e908fcef60b136787d94aa6e5a5bbfe620ad6ac4b29c5c03a52c21fca0c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.174600Z digest=sha256:1787e7ea34f58ca20603dab7409402ff877c67bde123bb8bda9a5fdb857580f8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.179513Z digest=sha256:c11e977013cbf873ef3de271d73aefc7c0d8404097b032dc7b3a5b72124c8780

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.184636Z digest=sha256:14340c10bdc59a7cdf18a0db028dccc6a072a235d51e2b292a79270125609de8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.189579Z digest=sha256:523cd60832948373274e75e91e26b3497682c7d34e9a10401832538462527f80

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.195200Z digest=sha256:1d74bd04e893cae12e44384ef2de01697fe96b1b7a4c4a711f43ff0632a1b0cc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.200052Z digest=sha256:61bb464a95105921b131746b2c1708fd32477198a136f27361dab4330cb51528

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.207582Z digest=sha256:f65bae9d0708d7721ff0d5b60eb648e285e68159a7c7b8d16863928161d858bf

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.215500Z digest=sha256:d0336706948c31d758e65e54c746c685aa7b6c2cc032108e0680f6681c6012a0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.221821Z digest=sha256:6d68e5a532dbfd3f9849d955157c142af435097f1e732b7a9457542ddfdd915b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.228721Z digest=sha256:4ae543a426c1112cc30f0c3af54f2d0fcfabb7b036b6009f38f94008fc7173ac

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.236308Z digest=sha256:d3d5d465a62ef47487a5f4cf455c39546dc85a137681f4826b355924397650d4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.246637Z digest=sha256:f36d3f55126367bf6cf989060e903fd3ffa456f559b00997f5b10036b2d53ca9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.251683Z digest=sha256:3be510f8cd7d8f47ebd251acbe21571071d928dd738ddbffdf1493f0f13d3318

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.257173Z digest=sha256:9322c4fad75fb3266dc51c034db94d554e84e482fe1e27687131bcaf962fa43a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.262058Z digest=sha256:1d46d6423d0ed619c0b256fb113477fe532c6440e09236e44bd9557261b3b215

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.267573Z digest=sha256:4c284cc463aadbd41f0d2cc3a1b4a23a5f13196a46803a35caaced21b174fd6b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.273661Z digest=sha256:27cca32dbbf64a55cc12fe8062aae73c193e66d184c560f88117e23c01027caf

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.280324Z digest=sha256:913677a6c0136817c811f1921412dfc4749690db69c7f4b1f331ce3efe1d76ad

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.287221Z digest=sha256:b2bc3d7cb1c93ddc52f1588b2fd29cee239efebc6e769e19c29bcd71430bbf89

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.293462Z digest=sha256:c37093900c638003cd7af50197e76fcab2b343f04a3ec99e23ac3cf3845cfabb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.304770Z digest=sha256:48c1b9788320cee5ce3409ea8fd4088e3cd7043b5744e4e0698204c60ac9cc3e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.311087Z digest=sha256:9867a5fb1aa09d2a6b768899032f796ce907fc9273385aee7f39c2e9524bf567

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:d10cd583f5bfcd0ec349e4e8c01ba84771648746b6aa6af8b4443a10536bf1af

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.324150Z digest=sha256:942018e649752622cd88cac9a3681147271bc29785398b1bb8f037f763531044

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.329579Z digest=sha256:1f9bc36b8282404b276140d7302fa7bcdcf748ecd1bf278435047f128ee16ed8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.335785Z digest=sha256:e86c0b0919d7fadacc71d344e80c8e4ffe4e0b90c7bf23c2eef42204f6ae0285

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.341705Z digest=sha256:ae52a5502cd3d17a1eb9df8ec630466c8a6df105d6d32f082b41bd02afe3dce7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.349121Z digest=sha256:f11d874b863eace38688031fed7b14be1d9925065892f27a326f8c232f98fbe4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.354423Z digest=sha256:ed72007f05bd10f32da761c47c24dfb5ba413762a8c81cf069a6fb2853192b60

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.359557Z digest=sha256:b6c404fd1b5d100bedd84f1da1c4af8f274d8ac4371fcde281f32b85f54062a9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.365726Z digest=sha256:205f62e36dc49c381ed1ece3cafa3eb9aacc1e2746652178947b547e54bfa117

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.371870Z digest=sha256:19523bc1399c61b841344c187bde8050cd31f6557ee5ff65a4d1683891744fdf

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.376898Z digest=sha256:8c0cd1398448533b4ff912d78708fad8ca7a2d05dd280bbea8a9c73273ebbaf3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.382194Z digest=sha256:87b2a947335959d27d49ff17f20cd6fa18df296340cb9f5c220b1a72459ec4bd

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.389084Z digest=sha256:bf035f5b196f6f8b88ed8522730e769bfe2366972bc9c697076fb4ece4f78d7c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.394659Z digest=sha256:93e10f5bb8f0e39df6c0c0dab4a0cc0961a80154122445b41012607377725eca

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.400866Z digest=sha256:cbe9b3a7c87829b0eb7edae142459217784157fc830336aba6ca4ebf46f94da0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.406254Z digest=sha256:d5baf2cefbe2d3212bf7349e35e56225214ca03c6c5e9d1c2411844fa303b507

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.413532Z digest=sha256:f2865e4f32274761dde9f5951d93ed13b2e782a8028e0e219f2e2bad3497e8b0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.419788Z digest=sha256:ffc17dc2893d3a5990cc163b420b2897a28acaa6b8145723dd974acb9370857b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.428137Z digest=sha256:6ccc0d3588c8b587816b7b65bed3b821e82f5f105936164951c6a65b6edc155c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.438440Z digest=sha256:657088f60cc6dd6797ab2c7761ce59fd40498f560a82ad8abc973fbe3d636b90

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.452794Z digest=sha256:f5917fb037b557bce1ad510f8f342ac6efa662adb6c7f767b606220d3d2f63f7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.461102Z digest=sha256:84a84439dbf16e75ba82b45ba95417e058957b14608715e400800e0ae2256cb9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.469624Z digest=sha256:8a3a6c6113d196b5f94b561ce92b6f9a2d0a88a9afdde9fdd168a65e28599e1d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.476430Z digest=sha256:4b9a0caeccd3a52b167c0adcd7fe8ea2ccd46a71003600410d63767dcbeba9f4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.485010Z digest=sha256:7bbd8724da2c36b08b540ad5cc44e20f94d3ed70827a7b3e1cf935e44c4600ec

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.500222Z digest=sha256:2a28555eb8781811aa15d8deb70f9dce3a12912b557f47231a7fcfb7d2209161

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.507879Z digest=sha256:04c8dd3b4edabf7d6897b2393297e1e41775b2f58031eaccf441d95279906cbf

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.518347Z digest=sha256:71a5dcd21ea2be44cde3427e4c79a91f19854e34c617dff63ffd79dbefcac3a8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.536702Z digest=sha256:c6350bc04607c497baf9523e96d2cc31269366fcffdb0de1d5c03c261711874c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.543167Z digest=sha256:3a35173b1b762ed5fdb87eda47433de1f71e3ff05755302eced156bfc59fa86e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.551475Z digest=sha256:a1cb87bd49391429733e7aea57621ce7b9c28f92d14bc2876351d92f4b7286ca

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.559215Z digest=sha256:d8ec395bba33c22519d522fb9e5dab39f3928ec8ae0a71f24f7d892d59aa9ad6

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.565823Z digest=sha256:5cb917048ad80826ec1550cee13cbfcce3b76d21568c5f4e046748685d68d10f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.572274Z digest=sha256:0e304a2a12550a62a9b90e9a2e0b12c60196bd4cb2ef46d269732b49fc01378f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.580779Z digest=sha256:1af1db957b3c2764cf37f8624ea334c471d248829e81211fa72e6ab008cf05b8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.599390Z digest=sha256:a63885b46ff3780ea59eda433513ce8b6f14aaa1d006de8537e86582e9c6fa72

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.611637Z digest=sha256:18d433337493c3dff10cc0afba67008df29b15957bdd5bc28984a3c5c7470f82

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.624897Z digest=sha256:d283064d9baf43b629d6d7741ea9405803ce3b1d5442cc6d15a9466950fa84e2

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:17:26.634055Z digest=sha256:ccf0097c1868b265fe906290b50e798556a6c52b98e23119c8932f4a0c0eb40d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-11T01:21:29.711127Z digest=sha256:b1a3c24988342e551d3ccf3b959263db2444712c5260da0703d094442fe5076d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-21T03:01:13.767579Z digest=sha256:99125738e37c6b13e13b2d12b934f24c020803d542ff3568a2014b24b736548d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-22T08:48:51.823143Z digest=sha256:b4f6c9a36f1b0256646cfe1e21ace5db848d70f70efe18eec9bfbd4334875755

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:026d559a7f48ddc1f8beb3cb2ed98c9fcdc8add4229ca6dbc8a5e5d9f95cfeee

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T09:58:52.160076Z digest=sha256:74b0cfc032014693bcdedd70ac4a041ef43dfcd58e002cd543e17033b565caa7

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