Pith. sign in

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.

source=pdf_text observed=2026-08-14T12:32:25.263457Z digest=sha256:c8a45d388890bc46fbcace2cad2c2eba86a098fdf149c47b3212d2c695a152da

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

Resolution
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.

source=pdf_text observed=2026-08-14T12:32:25.268833Z digest=sha256:4cf1f014c5ce5ea46865b971a2e4ffa0fb48aba6146e7717e3d2e2abaa90cf07

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.

source=pdf_text observed=2026-08-14T12:32:25.274532Z digest=sha256:3b637d0acc8cd000b4729d75df4828b91c70edd798bbc4b8f7c5037960254f90

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.

source=pdf_text observed=2026-08-14T12:32:25.279219Z digest=sha256:089b6ef3cc43b77e0a46c44dd683d562cb7f245c504ec5bdddeeaf5ac6636036

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

Resolution
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.

source=pdf_text observed=2026-08-14T12:32:25.284172Z digest=sha256:e07e28f71d28dfc91cb5a9b85384a1096125022a1acc3e5430023260533ac3f2

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.

source=pdf_text observed=2026-08-14T12:32:25.288740Z digest=sha256:3384da1dc683353605cb80efbc68e8eaa94f115ed07aece635ff91da170bacaa

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.

source=pdf_text observed=2026-08-14T12:32:25.293271Z digest=sha256:269ac57bfe9401ddf4313d51780052733ee83ba8b7e8d7f20eba50f5e9bec8d3

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.

source=pdf_text observed=2026-08-14T12:32:25.298192Z digest=sha256:c1da1a8b0c1f6db8b5d3f43aa20f5a26948200f6abd5fa060247b84a1dec03cd

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
unresolved
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.

source=pdf_text observed=2026-08-14T12:32:25.302827Z digest=sha256:c726964526d417762bf43da19c6b8f38cd2e71c7011442af14159bdc7678458c

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.

source=pdf_text observed=2026-08-14T12:32:25.307194Z digest=sha256:9235786317125305110038798e7b804e86d9bb911ac6041dac83493b4dae822a

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:32:25.311621Z digest=sha256:8d6de028b81aa4474b6b62599f3634a7cc91f0757b6b80812ab32e59e9f76c6d

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.

source=pdf_text observed=2026-08-14T12:32:25.316651Z digest=sha256:e295af8a950e0dc223de723bbf7b123277873ccbea14c2c51f828f07be07fefe

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
verified fuzzy
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=sha256:326436811989a0e2580cfe6524415f9f39b9394d0c549eb3bc15b812f8cbb9fe

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
unresolved
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.

source=pdf_text observed=2026-08-14T12:32:25.325459Z digest=sha256:841559c4ee134f18fc82f93fecaa9221333d6ca37c09ffe7010d3dda462f1dac

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.

source=pdf_text observed=2026-08-14T12:32:25.329761Z digest=sha256:0940e2c0d0da1d3b15a5fc6fe94054a320920c6079f7ba9e0fff43e7e14d0c99

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.

source=pdf_text observed=2026-08-14T12:32:25.334643Z digest=sha256:b0e7c24c44406c62c4aceb623e2c6de75e6812c50867d662cda84ce7d24a1f12

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.

source=pdf_text observed=2026-08-14T12:32:25.339011Z digest=sha256:dda2f29c57445f6959aa4d9de6bc8b412aeb64d763eb70af1dc0f60189efe0eb

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:32:25.343197Z digest=sha256:c85e41318d0f50a18305490d39543e62cc7def0084bf86f3690e5afd382f9cf5

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

Resolution
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.

source=pdf_text observed=2026-08-14T12:32:25.347615Z digest=sha256:0c4256b57bfb20aca09cd4c0b8670a01ccb3bd2524199702b1a233a0b3c9ba17

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

Resolution
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.

source=pdf_text observed=2026-08-14T12:32:25.351754Z digest=sha256:ca3fe088453079961852ce849d981a2648d40f3bcd0d66b6ee26bc1ff8569c9a

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.

source=pdf_text observed=2026-08-14T12:32:25.356502Z digest=sha256:166fbb6f10b5fe518be5f32b8ee0f04d8750ebd161025b54095d649328b59ef3

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.

source=pdf_text observed=2026-08-14T12:32:25.360643Z digest=sha256:be4e1cd129af3429910e1ff2ebe6f2047000066c64b00f0fea5fccd0c98e4c14

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.

source=pdf_text observed=2026-08-14T12:32:25.365083Z digest=sha256:d26a3fe006016eafbde9731505253b2eae85db68a10939eeed62ae9517cad03d

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.

source=pdf_text observed=2026-08-14T12:32:25.369205Z digest=sha256:41e78d05f162eda3957d904a0548bc599efada89340da99b402927712198bad4

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

Resolution
verified fuzzy
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.

source=pdf_text observed=2026-08-14T12:32:25.373567Z digest=sha256:1abd24304b3bb93514d0247e7b232cd9d8b70e47c187dc8989b949ce1491cfa2

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:f56bdbe92f22be6e69287961e2cb2a8f4e68d7d4bd347d6fd8fe7e4210f102db

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=sha256:23f34f45c2d21f3b627c60bd90b17be6a9ccce7962a3615de984b31d85b054a4

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=sha256:8d3d01f1badaf22c14b0aa0a2690475818135eeb0e96d8a2c968d616e3f84896

Pith citing papers

No inbound Pith citation observations are available.