Paper Citation Record · LEDGER

Constrained Multi-Relational Graphons with Maximum Entropy

As of 14 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2607.22383.

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

pith.paper-citation-record.v1
2607.22383 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T05:03:44.764040Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

46 of 46 outbound references displayed

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External citation measurements

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Outbound references

Observation 2275394d-f882-4ba0-9d1e-890e4d98532e · outbound

This paper cites Limits of multi-relational graphs.

Constrained Multi-Relational Graphons with Maximum Entropy Limits of multi-relational graphs

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:36.946643Z

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Observation a4e1578f-e9ab-466c-a1bf-e995196c24db · outbound

This paper cites Bose-einstein condensation in complex networks.Physical review letters, 86(24):5632, 2001.

Constrained Multi-Relational Graphons with Maximum Entropy Bose-einstein condensation in complex networks.Physical review letters, 86(24):5632, 2001

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:37.067141Z

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Observation b6461fff-f00d-469d-bf13-83ca7d0f45fb · outbound

This paper cites A nonparametric view of network models and newman–girvan and other modularities.Proceedings of the National Academy of Sciences, 106(50):21068–21073, 2009.

Constrained Multi-Relational Graphons with Maximum Entropy A nonparametric view of network models and newman–girvan and other modularities.Proceedings of the National Academy of Sciences, 106(50):21068–21073, 2009

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:37.223608Z

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Observation c84511ee-e0ff-4708-89fb-06b3f1b1c870 · outbound

This paper cites The structure and dynamics of multilayer networks.Physics Reports, 544(1):1–122, 2014.

Constrained Multi-Relational Graphons with Maximum Entropy The structure and dynamics of multilayer networks.Physics Reports, 544(1):1–122, 2014

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:37.451884Z

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Observation 3ad31cce-bae5-4aa3-8ee2-5b8bba9cc23d · outbound

This paper cites Pattern formation in random networks using graphons.SIAM Journal on Mathematical Analysis, 55(3):2150–2185, 2023.

Constrained Multi-Relational Graphons with Maximum Entropy Pattern formation in random networks using graphons.SIAM Journal on Mathematical Analysis, 55(3):2150–2185, 2023

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:37.653834Z

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Observation 1578352f-6ad0-44d6-910e-c752a39fc25b · outbound

This paper cites Higher-Order Graphon Theory: Fluctuations, Degeneracies, and Inference.

Constrained Multi-Relational Graphons with Maximum Entropy Higher-Order Graphon Theory: Fluctuations, Degeneracies, and Inference

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:37.905300Z

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Observation c2228855-e57e-48a7-a02c-331a3075b7e1 · outbound

This paper cites Graphon estimation beyond binary edges: inference for decorated graphs with applications to multiplex and weighted networks.

Constrained Multi-Relational Graphons with Maximum Entropy Graphon estimation beyond binary edges: inference for decorated graphs with applications to multiplex and weighted networks

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:38.143834Z

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Observation 9d4ce260-bfbf-473d-9f6d-76d817457710 · outbound

This paper cites Markovgraphs.JournaloftheamericanStatistical association, 81(395):832–842, 1986.

Constrained Multi-Relational Graphons with Maximum Entropy Markovgraphs.JournaloftheamericanStatistical association, 81(395):832–842, 1986

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:38.306144Z

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Observation 065d5145-717c-4019-bae6-d32f125a0855 · outbound

This paper cites Rate-optimal graphon estimation.The Annals of Statistics, 43(6):2624–2652, 2015.

Constrained Multi-Relational Graphons with Maximum Entropy Rate-optimal graphon estimation.The Annals of Statistics, 43(6):2624–2652, 2015

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:38.560556Z

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Observation 4a505dc7-13e4-4753-bf01-e2da5434f883 · outbound

This paper cites Elusive extremal graphs.Proceedings of the London Mathematical Society, 121(6):1685–1736, 2020.

Constrained Multi-Relational Graphons with Maximum Entropy Elusive extremal graphs.Proceedings of the London Mathematical Society, 121(6):1685–1736, 2020

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:38.726829Z

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Observation 486bd91b-7b43-4d2a-9aba-d6fe51dda19a · outbound

This paper cites Stochastic blockmodels: First steps.Social networks, 5(2):109–137, 1983.

Constrained Multi-Relational Graphons with Maximum Entropy Stochastic blockmodels: First steps.Social networks, 5(2):109–137, 1983

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:38.945291Z

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Observation ea30f218-aa37-43c4-a7f1-2fa131796b99 · outbound

This paper cites The economic conse- quences of social-network structure.Journal of Economic Literature, 55(1):49– 95, 2017.

Constrained Multi-Relational Graphons with Maximum Entropy The economic conse- quences of social-network structure.Journal of Economic Literature, 55(1):49– 95, 2017

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:39.085783Z

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Observation bd4b20f5-3f0b-4f5c-87f8-9125b02dd28f · outbound

This paper cites Spinger, 2006.

Constrained Multi-Relational Graphons with Maximum Entropy Spinger, 2006

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:39.244202Z

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Observation 02f55723-f266-4d62-9b23-6a7cb4ac093d · outbound

This paper cites Springer Science & Business Media, 2008.

Constrained Multi-Relational Graphons with Maximum Entropy Springer Science & Business Media, 2008

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:39.381940Z

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Observation f0ea668f-baa4-45cd-9511-4c0fa6a4c6a2 · outbound

This paper cites Bipodal structure in oversaturated random graphs.International Mathematics Research Notices, 2018(4):1009–1044, 2016.

Constrained Multi-Relational Graphons with Maximum Entropy Bipodal structure in oversaturated random graphs.International Mathematics Research Notices, 2018(4):1009–1044, 2016

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:39.627767Z

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Observation 1736eeaf-230d-475d-837a-0a2f99336cd3 · outbound

This paper cites Multipodal struc- ture and phase transitions in large constrained graphs.Journal of Statistical Physics, 168(2):233–258, 2017.

Constrained Multi-Relational Graphons with Maximum Entropy Multipodal struc- ture and phase transitions in large constrained graphs.Journal of Statistical Physics, 168(2):233–258, 2017

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:39.881502Z

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Observation 7084fc78-ee12-42c1-94e9-6fa61d1d9bc5 · outbound

This paper cites an unresolved cited work.

Constrained Multi-Relational Graphons with Maximum Entropy Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:40.123675Z

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Observation 1fc2da1d-969e-4977-9356-9123db453395 · outbound

This paper cites Oracleinequalitiesfor network models and sparse graphon estimation.Annals of Statistics, 45(1):316– 354, 2017.

Constrained Multi-Relational Graphons with Maximum Entropy Oracleinequalitiesfor network models and sparse graphon estimation.Annals of Statistics, 45(1):316– 354, 2017

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:40.345454Z

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Observation dcb3ac63-ce2d-4f5d-8ffd-e401fa394245 · outbound

This paper cites Springer, 2 edition, 2020.

Constrained Multi-Relational Graphons with Maximum Entropy Springer, 2 edition, 2020

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:40.492985Z

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Observation 2e6df077-6453-4d3f-a12f-48f5e54e0d44 · outbound

This paper cites Emerginglandscapeof molecularinteractionnetworks: Opportunities,challengesandprospects.Journal of Biosciences, 47:24, 2022.

Constrained Multi-Relational Graphons with Maximum Entropy Emerginglandscapeof molecularinteractionnetworks: Opportunities,challengesandprospects.Journal of Biosciences, 47:24, 2022

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:40.687818Z

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Observation 6413dafe-e557-4f0c-afb8-45d19f4a0eb5 · outbound

This paper cites Elsevier, 2013.

Constrained Multi-Relational Graphons with Maximum Entropy Elsevier, 2013

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:40.915234Z

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Observation 8ae11c58-d0d9-4ba7-85a4-3fd3eacb6c2c · outbound

This paper cites Springer, 2003.

Constrained Multi-Relational Graphons with Maximum Entropy Springer, 2003

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:41.117654Z

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Observation a0d2b44c-260d-47cd-a6ba-3ab28e9e5609 · outbound

This paper cites Dbpedia–a large-scale, multilingual knowledge base extracted from wikipedia.Semantic Web, 6(2):167–195, 2015.

Constrained Multi-Relational Graphons with Maximum Entropy Dbpedia–a large-scale, multilingual knowledge base extracted from wikipedia.Semantic Web, 6(2):167–195, 2015

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:41.299159Z

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Observation 3a5e32e0-22d3-4a12-868b-bcf61abd2ab5 · outbound

This paper cites Limits of dense graph sequences.Journal of Combinatorial Theory, Series B, 96(6):933–957, 2006.

Constrained Multi-Relational Graphons with Maximum Entropy Limits of dense graph sequences.Journal of Combinatorial Theory, Series B, 96(6):933–957, 2006

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:41.543804Z

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Observation b2ad624f-8576-4b9c-b466-8dc5eed7281e · outbound

This paper cites Finitely forcible graphons.Journal of Com- binatorial Theory, Series B, 101(5):269–301, 2011.

Constrained Multi-Relational Graphons with Maximum Entropy Finitely forcible graphons.Journal of Com- binatorial Theory, Series B, 101(5):269–301, 2011

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:41.744681Z

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Observation ad4823ba-41e3-4de6-a5bc-bc4ff3f7b212 · outbound

This paper cites an unresolved cited work.

Constrained Multi-Relational Graphons with Maximum Entropy Unresolved cited work

Reference 26

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Observation 5db7f45d-1c39-49c3-a370-d07f8b75ecc4 · outbound

This paper cites Yago3: Aknowl- edge base from multilingual wikipedias.

Constrained Multi-Relational Graphons with Maximum Entropy Yago3: Aknowl- edge base from multilingual wikipedias

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:42.228368Z

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Observation 9f494dbb-a6eb-424b-8b20-0c60cfc369fd · outbound

This paper cites Disease networks.

Constrained Multi-Relational Graphons with Maximum Entropy Disease networks

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:42.395783Z

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Observation 16ecf32e-d9aa-4a03-896b-92fe89a68204 · outbound

This paper cites Existence of a symmetric bipo- dal phase in the edge-triangle model.Journal of Physics A: Mathematical and Theoretical, 57(9):095003, 2024.

Constrained Multi-Relational Graphons with Maximum Entropy Existence of a symmetric bipo- dal phase in the edge-triangle model.Journal of Physics A: Mathematical and Theoretical, 57(9):095003, 2024

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:42.588522Z

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Observation d71b403b-8dab-4a0c-80a7-7944db8c62b5 · outbound

This paper cites Graphongames: Astatisticalframework for network games and interventions.Econometrica, 91(1):191–225, 2023.

Constrained Multi-Relational Graphons with Maximum Entropy Graphongames: Astatisticalframework for network games and interventions.Econometrica, 91(1):191–225, 2023

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:42.803359Z

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Observation 67525760-62fe-484f-a94b-027dc153d843 · outbound

This paper cites An empirical bayes approach to stochastic block- modelsandgraphons: shrinkageestimationandmodelselection.PeerJComputer Science, 8:e1006, 2022.

Constrained Multi-Relational Graphons with Maximum Entropy An empirical bayes approach to stochastic block- modelsandgraphons: shrinkageestimationandmodelselection.PeerJComputer Science, 8:e1006, 2022

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:42.986227Z

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Observation be9b5fe0-d1fe-4c1f-8902-fe28ac60c17e · outbound

This paper cites Dynamic network models and graphon estimation.The Annals of Statistics, 47(4):2378–2403, 2019.

Constrained Multi-Relational Graphons with Maximum Entropy Dynamic network models and graphon estimation.The Annals of Statistics, 47(4):2378–2403, 2019

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:43.194339Z

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Observation 6447f681-ff0b-413f-a291-d7a1e71a8e03 · outbound

This paper cites an unresolved cited work.

Constrained Multi-Relational Graphons with Maximum Entropy Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:43.410601Z

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Observation 0b4d6ede-e469-4c7e-a41b-f6962d00c238 · outbound

This paper cites Emergence in graphs with near-extreme constraints.

Constrained Multi-Relational Graphons with Maximum Entropy Emergence in graphs with near-extreme constraints

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:43.538099Z

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Observation 249f35cb-d7aa-4342-8ef2-58bbd2c6feef · outbound

This paper cites Markov logic networks.Machine learning, 62(1-2):107–136, 2006.

Constrained Multi-Relational Graphons with Maximum Entropy Markov logic networks.Machine learning, 62(1-2):107–136, 2006

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:43.647754Z

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Observation e7fa7e0b-ea5d-4a98-8323-438b40192a41 · outbound

This paper cites One knowledge graph to rule them all? an- alyzing the differences between dbpedia, yago, wikidata & co.

Constrained Multi-Relational Graphons with Maximum Entropy One knowledge graph to rule them all? an- alyzing the differences between dbpedia, yago, wikidata & co

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:43.762120Z

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Observation c995228f-83b9-4647-ad33-bcf43f037ec0 · outbound

This paper cites Protein-protein interaction networks (ppi) and complexdiseases.GastroenterologyandHepatologyfromBedtoBench,7(1):17, 2014.

Constrained Multi-Relational Graphons with Maximum Entropy Protein-protein interaction networks (ppi) and complexdiseases.GastroenterologyandHepatologyfromBedtoBench,7(1):17, 2014

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:43.921739Z

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Observation 354102dd-fc4b-41a1-a9df-e2dfd9de1fb8 · outbound

This paper cites Modeling relational data with graph convolutional net- works.

Constrained Multi-Relational Graphons with Maximum Entropy Modeling relational data with graph convolutional net- works

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:44.028225Z

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Observation c4b0e2a5-f861-46ce-8863-96c37da84dc4 · outbound

This paper cites Network estimation via graphon with node features.IEEE Transactions on Network Science and Engi- neering, 7(3):2078–2089, 2020.

Constrained Multi-Relational Graphons with Maximum Entropy Network estimation via graphon with node features.IEEE Transactions on Network Science and Engi- neering, 7(3):2078–2089, 2020

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:44.146375Z

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Observation c9996105-688e-4b97-b131-f6e3c2059458 · outbound

This paper cites Yago: a core of semantic knowledge unifying wordnet and wikipedia.

Constrained Multi-Relational Graphons with Maximum Entropy Yago: a core of semantic knowledge unifying wordnet and wikipedia

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:44.266688Z

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Observation 9bda645c-b776-4382-aa3b-ec0adaba28e3 · outbound

This paper cites Multirelational organiza- tionoflarge-scalesocialnetworksinanonlineworld.ProceedingsoftheNational Academy of Sciences, 107(31):13636–13641, 2010.

Constrained Multi-Relational Graphons with Maximum Entropy Multirelational organiza- tionoflarge-scalesocialnetworksinanonlineworld.ProceedingsoftheNational Academy of Sciences, 107(31):13636–13641, 2010

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:44.337542Z

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Observation f83a0085-2a62-4317-9893-0dca022b541a · outbound

This paper cites Thelow-rankhypoth- esis of complex systems.Nature Physics, pages 1–9, 2024.

Constrained Multi-Relational Graphons with Maximum Entropy Thelow-rankhypoth- esis of complex systems.Nature Physics, pages 1–9, 2024

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:44.392165Z

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Observation 47281837-8453-4248-8b1a-7482d32f67ef · outbound

This paper cites Iowa State University, 1968.

Constrained Multi-Relational Graphons with Maximum Entropy Iowa State University, 1968

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:44.479095Z

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Observation 06def0c2-c928-444d-843f-85a4b22284b8 · outbound

This paper cites Random walk withrestartonmultiplexandheterogeneousbiologicalnetworks.Bioinformatics, 35(3):497–505, 2019.

Constrained Multi-Relational Graphons with Maximum Entropy Random walk withrestartonmultiplexandheterogeneousbiologicalnetworks.Bioinformatics, 35(3):497–505, 2019

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:44.578165Z

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Observation 7df593d9-3129-4615-afc6-321037247f7e · outbound

This paper cites Wikidata: a free collaborative knowl- edgebase.Communications of the ACM, 57(10):78–85, 2014.

Constrained Multi-Relational Graphons with Maximum Entropy Wikidata: a free collaborative knowl- edgebase.Communications of the ACM, 57(10):78–85, 2014

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:44.668856Z

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Observation d2673414-050e-4e27-bde0-fabc4269397f · outbound

This paper cites Ratesofconvergenceofspectralmethodsforgraphonestimation.

Constrained Multi-Relational Graphons with Maximum Entropy Ratesofconvergenceofspectralmethodsforgraphonestimation

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-01T05:03:44.764040Z

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