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Paper Citation Record · LEDGER

Critical long-range percolation III: The upper critical dimension

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.107820Z digest=sha256:3282b3759869e493d23c98659b07c3ab250ffbb95481b33831b9072bb1726a11

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.114565Z digest=sha256:b58cb896df168ff3c57821cbfc09fad1a6539dd138ca7489e1774e63da0943d0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.121817Z digest=sha256:2c85f4d3780c4fea68462f49fab7db7b154a0b6fbcecae7a3c6676dba309c263

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.127406Z digest=sha256:509202a443fc37d85e660ae287ff1e67e973498503bd9a161287482e46ee88fe

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.133337Z digest=sha256:c62b045b83ad6b0955a75c6c8c4d77dd7161e5249276592931d54af29a540935

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.139008Z digest=sha256:c547765f2ff6f2d98fe8cf5c19cf2b11fe7864e5ab19ea5137b25b4e92b51106

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.145511Z digest=sha256:15e110c194c81b9293094683745533f2b6cb6df303783f9cf3739d01e7f8a010

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.151082Z digest=sha256:ba6a7364bf2f1fda27593fe38aa501c8974d8accfd0a272a712eeb34a321c9e2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.157016Z digest=sha256:f0303d755d5544ae550c435b390f1c7a1881ec6150eec7dfaae13c27ae57d4fb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.162584Z digest=sha256:608c1c59aeffde1df365b6b6f5f34df9cdc4c161af6268f08c5a2fec3966c98e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.169095Z digest=sha256:a367a2454c244c8cabb4c31666d0c6e9429b2682dd018c29593dba9b31fff899

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.174600Z digest=sha256:b1714fda8909e4ebbc67a21ea7f8596c1f5297fa1de25da7f3b8733fb39e151a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.179513Z digest=sha256:7c7aefb1b196027d211e22b924a9d36a92b53486d9326cae735d2349dc1096d9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.184636Z digest=sha256:30e94664347964049f4c20e631b33bacb28fa4b21ad5cc7f67eb492c440f8907

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.189579Z digest=sha256:eb4b309afbc49d4de124c2f7341220158194342e6e86bcf6bbb24541b2277f7a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.195200Z digest=sha256:221e55888bc865d35af6484478a5ce2307a4114711e72b017b356ed942fcec66

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.200052Z digest=sha256:330a79434f5297e6b7f91df92cef830dfbdf32d542c416c21313aea92b570cc2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.207582Z digest=sha256:f51552fad865975896de3e52dad261d4d47d98fae22b43ef987ae20c02d86e92

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.215500Z digest=sha256:2a199ad718a9dbeafc432989ad4c56bcfbe42c2e049a072c3875177459e131f6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.221821Z digest=sha256:9b3c6e4322d2570221f51037264628815ca7f597899fa3ab78de8a09d09d549d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.228721Z digest=sha256:7099fc839d5146f9542df72858850a594f9e14075f13fe6a09a4e9e7d50bb1fc

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.236308Z digest=sha256:09cc9846017d7a8501c1a5c33440cabf92ae956a665ffaa3c43572fb4718e336

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.246637Z digest=sha256:53a287210adadda5871f9a18e22add06ac0eb6b19fbd54a2384890466584d93e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.251683Z digest=sha256:48cab0d87950c2d251e0f7810af6e5a5a32c680c9cb4521e197c6a1de6935c76

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.257173Z digest=sha256:0b2f72b368a4a3b7bd0c3fb5dc177b58a364c217bb8de43740d37a12237f50e9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.262058Z digest=sha256:3970e66fe1099540ab7ff114f68c070fb17a500d01a77f245b8454c9b31b6c3e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.267573Z digest=sha256:eb8dc24dc619090e1c7e202824fe1f0c7836926d5cddd911c511d1fe44ade998

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.273661Z digest=sha256:95e09667bf78a6452f834631587a1b6c56c2aa37be9c6db14801fc4a65920991

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.280324Z digest=sha256:88cf4ecc5b07324b2589ace49ff12fef482938f22d61e98ccd6944641256a015

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.287221Z digest=sha256:115c8238928a522f7f0ffcc61fa3c5d2e46ff29c0d52549684b17d9d243fa525

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.293462Z digest=sha256:542d7e003132ecebc5f63f8df3b6ad8b3b2f0cd785276ac61ab67543e4084de9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.304770Z digest=sha256:4fcfc6b9ee1c4361d355119741842d7d1fb639c540b44df491ec6d3b1630a2d2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.311087Z digest=sha256:8acfd6c4ee29af442c4b2af0f19b274f269383fd7d5ad346ebbe08d817127637

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.324150Z digest=sha256:16c1ef67d5448fca5e0d11b8fa1f66e32ecde5b91a12978060cf19ca2734ce86

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.329579Z digest=sha256:b1debec38e9ed724d3640939bf9738581e02250d85e989686c872d71493b65cb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.335785Z digest=sha256:5a18f583d945da5ff04af8ac95fabf417f7ebccdbce883ce016361002ceecb13

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.341705Z digest=sha256:7b1cb8fa7efc4c8997ec3a6a75f3ba631f806cbf572cb608e2b968b5916b136e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.349121Z digest=sha256:2bd3f4867a8192444243440169c986995eff41f04938f0a452f39a98addefcee

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.354423Z digest=sha256:f87037d4d9bd919e14810976e711bbd61010e31eefa9fcb1841e37e107a6ad7d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.359557Z digest=sha256:605f8cbfe38c1e7fe0fc49418356aa40b12dc237699a9a0c43fcbfc4450e117d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.365726Z digest=sha256:9933f925e8b208a9652bc2b9be773e29a5ed873328794173515a1a219dbe0053

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.371870Z digest=sha256:8704a9348ab202717aba58e08b385897f50a69025db3598fea084b4d2440ce2f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.376898Z digest=sha256:e31eb410d0ae31c9b5ddfb655cc10361d4ffa14674d9a3d06fb90d3fbfe64fdb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.382194Z digest=sha256:4fbec90de827a06c8a1b751c67bd093b207c2f9ec1e03b57b2ef678b06c54444

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.389084Z digest=sha256:9dd51e8872553013dc9d21544ce903cbe5f0fd9a3d4f16dceec31a294eb6aaa9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.394659Z digest=sha256:9b868840a13437ec355a3f5a60d5109370c821d990297a3f5aef6dd1c77a397e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.400866Z digest=sha256:44c2a2308327b13ffdb609493eb9a898d5ec38f84cde88f1ae4b06073492442f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.406254Z digest=sha256:72ad4e7fbc290f22cc3d7a2f45601458aec7f56b474b3df6cd226a95a57d7fd0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.413532Z digest=sha256:4b56e986049ff721f65a845761635c86949e52c91514250a6181dbea35291715

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.419788Z digest=sha256:3cbfa9a3afb68c0d2b30dd7b96d43fa6fd451743e2c856879a5d32384ba19438

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.428137Z digest=sha256:85c3be5a74031f983df1a72eeb0f14c5f04da3089b1e2cc2589ed8ff9d436826

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.438440Z digest=sha256:329257f7f8c77ba846e4ebcdeb5f2167d471c30b1c684bc25dd630e7df87edab

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.452794Z digest=sha256:a3227e861d981e189a617caf0855b86ad4e47a1460298134d4307670cad66c5b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.461102Z digest=sha256:faf5fc4f7f64fbdc27e4121ad4a2d9eedb7530e2803918d2cc3200dd29fa4d98

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.469624Z digest=sha256:bf6eed6cff0a2ac114dc4291d00c32ba36739f2c00b307b7fa886e6f6f0cc4a6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.476430Z digest=sha256:880f39594e792196dc8c417350cab309f8110173618b50bf313abaf34d4315a1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.485010Z digest=sha256:e2c9e5414b8963baabd769217e3c38164376f9a7d438c414f41910e5b739248f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.500222Z digest=sha256:848e8ba3ad363065e333b25aa455c1659bc07ee07724520a99522ccccaf7b9f9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.507879Z digest=sha256:861e20bfc30e6425fe36ea220b33479dacbccc13dbc5e8340961b14cf53c9001

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.518347Z digest=sha256:fef5ce68eb6dc5c4689d8953554813a3b7fd79df8af445d528b2ae2adca1a60e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.536702Z digest=sha256:d39a0e873b65d44ff4b372e6f0cdc8443c8c349876c25eeab38d2193501ead8e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.543167Z digest=sha256:24e00a6f72dd04993d2767ff74ed24ab8d31c204c1cb2dc531de6fe0b837a35c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.551475Z digest=sha256:f5149b0be5977d9d3efb4540c055ad307d2cddac5e2af265e577f91e114ec66a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.559215Z digest=sha256:240fd96ccfd1a5686546922b24f706cd765b76bd725b9d77dfa71196a05175a7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.565823Z digest=sha256:7581a40ef47078219caf1aca41ad5cdaace149f4302d1f3c0b43ae1352ad888a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.572274Z digest=sha256:219528c44194c337ce673cd5ac1d28fd32ab2191abc0dc2fc277330926b9ecd2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.580779Z digest=sha256:2393c39f470853c1f90a5b528bad0def44819bab3a58ce99f7dd316e84ced18e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.599390Z digest=sha256:08fb88115008aebc2aa8f47a85a89a8bdf769dfb3c8318ba2651e34246928307

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.611637Z digest=sha256:a86b7ca1fb64f3b47d5c2aebeb03f3fff73401156a692b59af9cf7c08b589ff5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.624897Z digest=sha256:4b557fecba023572e85e2e5267c36466c30d5e7dc25e9f9416f6dbb7d893f24e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T16:17:26.634055Z digest=sha256:75d70d6644891f4975b4c8c4b7989aa4980893461b8218f4b5ad38ade4ad9f58

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-11T01:21:29.711127Z digest=sha256:37a71d3f6cefb72a8389c327728bff7781b30bce2054e1bcc7e87f9ac7a0422b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-21T03:01:13.767579Z digest=sha256:0c2815149888f30a1dd5e389012ad23e892824e855b3a450755b8dce9b28a0d8

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

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

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source=pdf_text observed=2026-05-22T08:48:51.823143Z digest=sha256:79de048d45e8c279fde241a208e7159e16636ad9a7df6c0c85da7ddf7c014ec8

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

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

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source=pdf_text observed=2026-06-27T11:32:18.398423Z digest=sha256:ac5e6b64e119a2486094362eb091dffda578394492e33c69c9d8e8ee74bbdec6

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

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T09:58:52.160076Z digest=sha256:0827464fc50e8c7f7767bdb921dfd1e16af808f3e9d0983d072e7597c86c7a5d

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

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

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