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Paper Citation Record · LEDGER

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 2 inbound Pith citation observations for arXiv:1908.06270.

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

pith.paper-citation-record.v1
1908.06270 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:08:40.374077Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:03:36.917472Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T11:18:33.495854Z

Reference resolution

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy21
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 631115d2-55b4-4d65-b6c2-6889597fc214 · outbound

This paper cites A Parallel Algorithmic Version of the Local Lemma.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma A Parallel Algorithmic Version of the Local Lemma

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.807898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:39.406698Z digest=sha256:c599596951e627b2c4b1ba989b33fb601aedab66b2733b572cc4a02ecc4e43c3

Observation 17cd1d04-da36-460a-b462-d48008ac3a5a · outbound

This paper cites An Algorithmic Approach to the Lov\' a sz Local Lemma.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma An Algorithmic Approach to the Lov\' a sz Local Lemma

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.795467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:39.472389Z digest=sha256:728f18c06991496b0599072bde1a56c11a12d5ff9d3c7e4890a01a0c0b65b296

Observation 330cbb8e-801e-428d-81f0-9dd97ba1a7f5 · outbound

This paper cites A Lower Bound for the Distributed Lov\'asz Local Lemma.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma A Lower Bound for the Distributed Lov\'asz Local Lemma

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.676206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:39.576637Z digest=sha256:6109e95dfb07aaf8fb14580a0a8190e174f0c997c1e6a10e7990b335c7be9cd7

Observation 50ac6424-06eb-423f-977f-48387035b0b5 · outbound

This paper cites On the complexity of distributed splitting problems.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma On the complexity of distributed splitting problems

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.662875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:39.682163Z digest=sha256:4bd8ffd97c4346ce884f3b865f9d3e9c13cac2bb931c2034222dac1cd4567471

Observation 3d27300e-2c2b-4709-9c7c-861144a29f7a · outbound

This paper cites Convex Optimization.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Convex Optimization

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T13:08:39.778877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:08:39.778877Z digest=sha256:73bf5517575ebb8e6e2e32435a2824c43cad2893b4daad76ad86f74b86bdd4ff

Observation 3ea09536-1947-4121-af70-9ac478cf071e · outbound

This paper cites An Exponential Separation between Randomized and Deterministic Complexity in the LOCAL Model.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma An Exponential Separation between Randomized and Deterministic Complexity in the LOCAL Model

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.554071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:39.849821Z digest=sha256:00cfac30122120576b36f969575c670099232cdf17e9d0b981b4012c399f3c30

Observation 4f68e9d5-3715-4142-b582-991115339b2d · outbound

This paper cites A Time Hierarchy Theorem for the LOCAL Model.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma A Time Hierarchy Theorem for the LOCAL Model

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.542882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:39.996011Z digest=sha256:21bd08fd2852fbd9bae3538d5a1ffeac95ff6d2218461489e14aeafc097d1a46

Observation 0bc3bae4-c10e-45d5-8f67-5f5687b5c4af · outbound

This paper cites Distributed Algorithms for the Lov \'a sz Local Lemma and Graph Coloring.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Distributed Algorithms for the Lov \'a sz Local Lemma and Graph Coloring

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.533031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.000067Z digest=sha256:f57367bde6062485d4cd8cfd47e16ebfafb9b335240262d8c2d2e9e48c32a6b0

Observation b8c89f24-8b68-4e6f-9a9d-8f0a2e6afb9c · outbound

This paper cites Coloring Non-uniform Hypergraphs: A New Algorithmic Approach to the General Lov\' a sz Local Lemma.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Coloring Non-uniform Hypergraphs: A New Algorithmic Approach to the General Lov\' a sz Local Lemma

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.478320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.004290Z digest=sha256:26fa5ce959c83d11b630dec8e2abff5cb3fe20732390634267deea3190eb0b27

Observation 2fd97435-4bc7-4fc1-a5a0-8157484deca6 · outbound

This paper cites Problems and Results on 3-chromatic Hypergraphs and some Related Questions.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Problems and Results on 3-chromatic Hypergraphs and some Related Questions

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.412230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.009194Z digest=sha256:50cec595ce54cb1c2f38133e068d81cb48660b786ee2103f866fbda0d9c8d5ba

Observation 4a5db3f5-4427-4dfd-89fa-00569e848a58 · outbound

This paper cites Sublogarithmic Distributed Algorithms for Lov \'a sz Local Lemma, and the Complexity Hierarchy.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Sublogarithmic Distributed Algorithms for Lov \'a sz Local Lemma, and the Complexity Hierarchy

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.312758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.013869Z digest=sha256:d88df2dc8673a51eca522b1d33b29187e0daa7c197b99dbb89d4977765ddc32f

Observation 6b6bc9f8-7dbb-44c2-9e4d-4ad89a2faa8f · outbound

This paper cites Local Conflict Coloring.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Local Conflict Coloring

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.221121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.072465Z digest=sha256:3286f7c0dfcbf25745b40bd6fec7269d67332a49198b7e5d135f6ce5a7fdffa3

Observation c48ddb8c-d8b0-496e-9fc1-8038279b50fb · outbound

This paper cites An Improved Distributed Algorithm for Maximal Independent Set.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma An Improved Distributed Algorithm for Maximal Independent Set

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.209950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.145240Z digest=sha256:16ff15d8bd78df021503c7b0ece846bd369cf59db4abe07cdd5353938e0b74ca

Observation e9332c4c-2761-4731-9266-846a40adc883 · outbound

This paper cites Improved distributed degree splitting and edge coloring.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Improved distributed degree splitting and edge coloring

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.102541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.149217Z digest=sha256:b3ec15f2b387e629ed6f23f4d73172a7bc6157c426a57685b684ed1897ce6bde

Observation f7277788-0fa0-4f34-a77c-b6ec97046c65 · outbound

This paper cites Harris, and Fabian Kuhn.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Harris, and Fabian Kuhn

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:41.019125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.152800Z digest=sha256:7a8b3460c9486f082f7e9533df622aef6ebe697df94b27bab1166990786ef9ba

Observation fe1c6511-bca7-4b5b-9818-87c1ce54aebc · outbound

This paper cites On the complexity of local distributed graph problems.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma On the complexity of local distributed graph problems

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:40.853467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.156738Z digest=sha256:c16fee39533eb8d317df35862341d9c1418739560c6eda5ce16f2a7e9e03f39a

Observation c6a22bad-c243-4737-a6aa-d862d6507829 · outbound

This paper cites Distributed degree splitting, edge coloring, and orientations.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Distributed degree splitting, edge coloring, and orientations

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:40.754677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.160433Z digest=sha256:c5d255b3dbd2d72a6fdd12b8ca32a8fe3d6e43c7f5cf4574367d7217a538e0f4

Observation c1077e55-cb73-4e4c-8ee3-1ca06f8d3320 · outbound

This paper cites Distributed local approximation algorithms for maximum matching in graphs and hypergraphs.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Distributed local approximation algorithms for maximum matching in graphs and hypergraphs

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:08:40.443753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.165100Z digest=sha256:850050e63c3a07b6d984ce4e81be603d248ffd77866120e148e13e213d8b8692

Observation 03c8036a-14dd-4861-850d-d2c915ddd547 · outbound

This paper cites Further Algorithmic Aspects of the Local Lemma.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Further Algorithmic Aspects of the Local Lemma

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:40.630727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.169924Z digest=sha256:9d2ab2d8b2899c373d94561cb00d8ebc74f3baa8d7013698552e2064d66816c6

Observation 3f6e8937-8bc2-4828-8aed-9ada768adb88 · outbound

This paper cites Moser and G\' a bor Tardos.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Moser and G\' a bor Tardos

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:40.585793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.173436Z digest=sha256:6b7a9fdb3b111e70bc44f4cd62dc564ccd1c9ae2fbe5c2f43e691a188af1aebe

Observation fbff106c-7330-4d00-9bd2-5766f2302df3 · outbound

This paper cites Some Simple Distributed Algorithms for Sparse Networks.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Some Simple Distributed Algorithms for Sparse Networks

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:40.573862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.177680Z digest=sha256:be798655f17e14dd46b6b90b90fea43623862a783bfd1d009181cd44fcf4ec6b

Observation 2bd4b114-9d49-40e7-ab56-418c39a90fd9 · outbound

This paper cites Conflict-free Colourings of Graphs and Hypergraphs.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Conflict-free Colourings of Graphs and Hypergraphs

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:40.502543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.226967Z digest=sha256:c882765745871fa9bbb858c0b7498ad4a473d6789b8bbd927fa19b2ec23e5192

Observation 8cd3289d-b80e-4c91-9556-16a61b367159 · outbound

This paper cites Improved Algorithmic Versions of the Lov\' a sz Local Lemma.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Improved Algorithmic Versions of the Lov\' a sz Local Lemma

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:08:40.489746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:08:40.323932Z digest=sha256:5459157da085a5ef4c0534fe4a1132e14d7da43fa3e14ea32c36e7e80d7e2d82

Observation 5833f925-11e4-438e-bd89-ab0753cdf9eb · outbound

This paper cites Polylogarithmic-Time Deterministic Network Decomposition and Distributed Derandomization.

A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma Polylogarithmic-Time Deterministic Network Decomposition and Distributed Derandomization

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-14T13:08:40.374077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:08:40.374077Z digest=sha256:f17e9ce2243bbda2edb90cce9032e8089976ebd8963e7af2087cb119876bb40f

Pith citing papers

Observation e5d55085-7656-46f7-b77c-364b42564b6d · inbound

Borel Local Lemma: arbitrary random variables and limited exponential growth cites this paper.

Borel Local Lemma: arbitrary random variables and limited exponential growth A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T15:03:36.917472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T15:03:36.917472Z digest=sha256:dfe9261aaf756ce6fc3045c4345566423e801bb75de673108e73f5acbfb767b0

Observation c6c5788b-6b98-4596-93e7-7c7c02ba4a89 · inbound

Flows with minimal subdynamics cites this paper.

Flows with minimal subdynamics A Sharp Threshold Phenomenon for the Distributed Complexity of the Lov\'asz Local Lemma

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:18:33.538083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:18:27.275978Z digest=sha256:199d5cff6a0b4d869b500b1c91c54ce61cce918ffaaaae4abcb4635c3d4440e7