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Paper Citation Record · LEDGER

Statistical mechanics of the minimum vertex cover problem in stochastic block models

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.07234.

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

pith.paper-citation-record.v1
1908.07234 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:32:25.386778Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

  • verified exact4
  • verified fuzzy15
  • unresolved8
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c8d9542b-e0d0-40bc-812f-0dd91c62da34 · outbound

This paper cites We now consider the process of picking up directed edge j→i at random from SBM at step t of WP.

Statistical mechanics of the minimum vertex cover problem in stochastic block models We now consider the process of picking up directed edge j→i at random from SBM at step t of WP

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.833431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation bea92121-9dfd-4fbb-b957-d55142d03723 · outbound

This paper cites communities.

Statistical mechanics of the minimum vertex cover problem in stochastic block models communities

Reference 2

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malformed identifier
raw_fallback, observed 2026-08-14T12:32:25.818484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 14ccc708-850c-442c-8d24-802911edc665 · outbound

This paper cites Breitbart, C.-Y.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Breitbart, C.-Y

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.804644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 048f983f-bfd6-43fe-9f6e-e3ef955e10a7 · outbound

This paper cites Park and H.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Park and H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.790293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f4403b92-7c98-4703-b833-faaae68c4ef2 · outbound

This paper cites G´ omez-Gardenes, P.

Statistical mechanics of the minimum vertex cover problem in stochastic block models G´ omez-Gardenes, P

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.775761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7994aa09-6e16-4591-9e0f-db70e557521b · outbound

This paper cites Weigt and A.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Weigt and A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.761559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 50c230f5-9e27-4ca9-a515-f6d8c7b56277 · outbound

This paper cites Distributed Vertex Cover Algorithms For Wireless Sensor Networks.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Distributed Vertex Cover Algorithms For Wireless Sensor Networks

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:32:25.504548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a078623d-ef49-48be-8cd7-aaa0756f5a82 · outbound

This paper cites Jin-Hua and Z.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Jin-Hua and Z

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.747028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 557e9c87-8e49-42a8-a5fc-968b73df1a16 · outbound

This paper cites an unresolved cited work.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Unresolved cited work

Reference 9

Resolution
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raw_fallback, observed 2026-08-14T12:32:25.731661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0108d9e7-6fb2-44a8-a639-5807110f33c4 · outbound

This paper cites Weigt and H.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Weigt and H

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.716034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a3277bf8-c337-4f81-b174-02fa3cdbeebb · outbound

This paper cites Community Detection and Stochastic Block Models.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Community Detection and Stochastic Block Models

Reference 11

Resolution
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no resolver link, observed 2026-08-14T12:32:25.311621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 8899c61f-d7f2-49eb-bf62-d8f273e6d04a · outbound

This paper cites an unresolved cited work.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:32:25.701197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0e83f6b2-c101-45a9-a255-ee8ce298c3da · outbound

This paper cites Pearl, Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference (Morgan Kaufmann, 1988).

Statistical mechanics of the minimum vertex cover problem in stochastic block models Pearl, Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference (Morgan Kaufmann, 1988)

Reference 13

Resolution
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raw_fallback, observed 2026-08-14T12:32:25.686777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:32:25.320986Z digest=sha256:3a2d6476fbf83fe8b0b530b195968d20d2ad214a7766feb6d7ed84bd7781da4f

Observation 9c212955-6b64-4f12-a424-2c1e3512a4c7 · outbound

This paper cites an unresolved cited work.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Unresolved cited work

Reference 14

Resolution
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raw_fallback, observed 2026-08-14T12:32:25.672381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a456a4e2-0154-47a2-8ddb-5b5351e00b1c · outbound

This paper cites Generalization of core percolation on complex networks.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Generalization of core percolation on complex networks

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:32:25.469018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9a214fee-e432-4d19-a81f-c6aab916b169 · outbound

This paper cites Two faces of greedy leaf removal procedure on graphs.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Two faces of greedy leaf removal procedure on graphs

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:32:25.448950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b64d4dbf-26d8-42d7-9386-44899f6374d9 · outbound

This paper cites Kirkpatrick, C.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Kirkpatrick, C

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.657836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f59e3894-0cd5-4c3a-b37e-8a5612546b53 · outbound

This paper cites Lucas, Ising formulations of many np problems, Fron- tiers in Physics 2, 5 (2014).

Statistical mechanics of the minimum vertex cover problem in stochastic block models Lucas, Ising formulations of many np problems, Fron- tiers in Physics 2, 5 (2014)

Reference 18

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unresolved
no resolver link, observed 2026-08-14T12:32:25.343197Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation b3942a54-580c-4c8b-b832-dbf92ad99bd0 · outbound

This paper cites an unresolved cited work.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Unresolved cited work

Reference 19

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unresolved
raw_fallback, observed 2026-08-14T12:32:25.634208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3f993755-fce8-4cc5-9dce-3349bb255678 · outbound

This paper cites an unresolved cited work.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Unresolved cited work

Reference 20

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unresolved
raw_fallback, observed 2026-08-14T12:32:25.619621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 70061074-7e00-49eb-8886-0631c82cda6d · outbound

This paper cites Demartines and J.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Demartines and J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.605401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cbc0b434-0fb9-4732-8e5b-00d18ea4ee47 · outbound

This paper cites an unresolved cited work.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:32:25.591111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 99f85d30-e4f3-43e3-978c-ab9a56bd218a · outbound

This paper cites Kawamoto and Y.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Kawamoto and Y

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.576429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e8eb8680-ad23-4465-8cd8-83701c693d85 · outbound

This paper cites M´ ezard and M.

Statistical mechanics of the minimum vertex cover problem in stochastic block models M´ ezard and M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.561980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0ccd3f0a-8b5d-4c6a-8467-54be99ba0529 · outbound

This paper cites Takabe and K.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Takabe and K

Reference 25

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raw_fallback, observed 2026-08-14T12:32:25.547531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation aeeb89e7-ddff-4425-949d-bdf427cee8f4 · outbound

This paper cites Zhang, Y.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Zhang, Y

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.533577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:32:25.377871Z digest=sha256:be3a29ec6138296d5a7a6be95c0db3c531d9d41aa6566aba01106190c4f840bf

Observation 9fae6400-c876-45b1-9aab-38b3fed18f95 · outbound

This paper cites Castellani, F.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Castellani, F

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:25.519421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:32:25.382231Z digest=sha256:636c862765fded850a12f93d426322d8f0a0d107d30e9c6e7c27e645fee25058

Observation 42e5dd12-29bd-475d-88f7-a7dcef119245 · outbound

This paper cites Covering Problems and Core Percolations on Hypergraphs.

Statistical mechanics of the minimum vertex cover problem in stochastic block models Covering Problems and Core Percolations on Hypergraphs

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:32:25.428672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:32:25.386778Z digest=sha256:fa833599ca927654400ccf76e6f90abb81e765d891b082b228d2327e55e1d725

Pith citing papers

No inbound Pith citation observations are available.