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Paper Citation Record · LEDGER

The homology torsion growth of determinantal hypertrees

As of 15 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 3 inbound Pith citation observations for arXiv:2506.14694.

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

pith.paper-citation-record.v1
2506.14694 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T09:00:29.590067Z

measured 44 of 44 standing notices

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

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T23:40:03.858916Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T19:57:19.696960Z

Reference resolution

41 of 41 outbound references displayed

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  • verified fuzzy39
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Outbound references

Observation 04033aaf-dbb6-4a5f-862e-c0de36048a8d · outbound

This paper cites On homology torsion growth.Journal of the European Mathematical Society.

The homology torsion growth of determinantal hypertrees On homology torsion growth.Journal of the European Mathematical Society

Reference 1

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Observation c963f171-aab5-406a-a597-36c6ce83bdcc · outbound

This paper cites Rank, combinatorial cost, and homology torsion growth in higher rank lattices.

The homology torsion growth of determinantal hypertrees Rank, combinatorial cost, and homology torsion growth in higher rank lattices

Reference 2

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Observation 2d161048-cd25-4af6-b7b0-835c814f3165 · outbound

This paper cites Benjamini-Schramm convergence and pointwise convergence of the spectral measure.preprint.

The homology torsion growth of determinantal hypertrees Benjamini-Schramm convergence and pointwise convergence of the spectral measure.preprint

Reference 3

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Observation ffbc68c8-6f20-49db-9e5b-c2b4bae89077 · outbound

This paper cites The continuum random tree I.Annals of Probability, 19(1):1 – 28.

The homology torsion growth of determinantal hypertrees The continuum random tree I.Annals of Probability, 19(1):1 – 28

Reference 4

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:174bb16ea51a80b0e425a71e7999a4341741f4974d5318938ad87cc9054a1512

Observation 4b2705cf-0777-4b8b-a2ca-0a98dc9a901a · outbound

This paper cites The continuum random tree II.

The homology torsion growth of determinantal hypertrees The continuum random tree II

Reference 5

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Observation dcde6e19-3dec-4cd0-98f1-c6f7afd4346e · outbound

This paper cites The continuum random tree III.Annals of Probability, pages 248–289.

The homology torsion growth of determinantal hypertrees The continuum random tree III.Annals of Probability, pages 248–289

Reference 6

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:e803ea3ca12c01fbd180668df888a97f45262bef5528b3518831359f585e85c5

Observation e950f1fa-4c05-4236-894c-f2dd24d638f8 · outbound

This paper cites When does the top homology of a random simplicial complex vanish? Random Structures & Algorithms, 46(1):26–35.

The homology torsion growth of determinantal hypertrees When does the top homology of a random simplicial complex vanish? Random Structures & Algorithms, 46(1):26–35

Reference 7

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:655022530bea9bd8e987b5bff57af8fb082d30c63e5e81f62b4e4bfda19f35de

Observation 8ec94b93-3742-4708-95bf-2a3e86646658 · outbound

This paper cites The asymptotic growth of torsion homology for arithmetic groups.Journal of the Institute of Mathematics of Jussieu, 12(2):391–447.

The homology torsion growth of determinantal hypertrees The asymptotic growth of torsion homology for arithmetic groups.Journal of the Institute of Mathematics of Jussieu, 12(2):391–447

Reference 8

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:76c507ea52e64ec624653e9c215214df470d2c93fd48dd64b7677d44b839c08a

Observation f8518b19-3edc-4ae0-8944-8f232bdde8cf · outbound

This paper cites Non-standard limits of graphs and some orbit equivalence invariants.Annales Henri Lebesgue, 4:1235–1293.

The homology torsion growth of determinantal hypertrees Non-standard limits of graphs and some orbit equivalence invariants.Annales Henri Lebesgue, 4:1235–1293

Reference 9

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:004d9131de36fb7e4d50bfad0eed402cdc715fcb3ff0af8095c4c7d168e93f6e

Observation 907cb8fc-dd03-415d-9401-1c4f85381587 · outbound

This paper cites Matchings in vertex-transitive bipartite graphs.Israel Journal of Math- ematics, 215(1):99–134.

The homology torsion growth of determinantal hypertrees Matchings in vertex-transitive bipartite graphs.Israel Journal of Math- ematics, 215(1):99–134

Reference 10

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:d5a618571eb74d4831fd4e74fc7e211c4fab9649cf282be2e20fba3a33c5e0c7

Observation 3b458ff6-d772-4e42-8747-8e708a474911 · outbound

This paper cites Simplicial matrix-tree theorems.

The homology torsion growth of determinantal hypertrees Simplicial matrix-tree theorems

Reference 11

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Observation af447532-8bee-45a9-9272-1d68e9311d92 · outbound

This paper cites Geometry of growth: Approximation theorems forL2 invariants.

The homology torsion growth of determinantal hypertrees Geometry of growth: Approximation theorems forL2 invariants

Reference 12

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:4edb32b6ec366b87126c4300f62de28a0ae95b7377d027b5ce54825b4e41b77c

Observation 401e7fc8-7fdb-46a3-80b1-32117366e9ad · outbound

This paper cites Growth of mod-2 homology in higher-rank locally symmetric spaces.

The homology torsion growth of determinantal hypertrees Growth of mod-2 homology in higher-rank locally symmetric spaces

Reference 13

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:212fe473b65bc2b2f0680b74f6901f27a0062ab15632b9d2c212877a3b170a65

Observation bb8623af-f7de-4c84-9abc-de05415770bb · outbound

This paper cites Random labelled trees and their branching networks.Journal of the Australian Mathematical Society, 30(2):229–237.

The homology torsion growth of determinantal hypertrees Random labelled trees and their branching networks.Journal of the Australian Mathematical Society, 30(2):229–237

Reference 14

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Observation f6079cae-f919-464c-9be3-69c8b166a382 · outbound

This paper cites The threshold for integer homology in random d-complexes.

The homology torsion growth of determinantal hypertrees The threshold for integer homology in random d-complexes

Reference 15

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:f54696152bb4be34a7631f15d119c32260b89458313019596efcfc4e1cb8d039

Observation 56cc66bf-6219-4501-8277-013698ba53b5 · outbound

This paper cites Determinantal processes and independence.Probability Surveys, 3:206–229.

The homology torsion growth of determinantal hypertrees Determinantal processes and independence.Probability Surveys, 3:206–229

Reference 16

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Observation 9081db21-3f1d-4a63-affc-65759c87cd36 · outbound

This paper cites Cohen–Lenstra heuristics for torsion in homology of random complexes.

The homology torsion growth of determinantal hypertrees Cohen–Lenstra heuristics for torsion in homology of random complexes

Reference 17

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:1ec5e7588021de9d435830aed115243fa8755f4f67c61abfee320b0668803ac1

Observation 99e1e226-a1ea-4431-8889-642239503f2b · outbound

This paper cites Topology and geometry of random 2-dimensional hypertrees.

The homology torsion growth of determinantal hypertrees Topology and geometry of random 2-dimensional hypertrees

Reference 18

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Observation 7f747cff-e7a3-476b-8b2f-dd89f964ef8c · outbound

This paper cites Inside the critical window for cohomology of random k-complexes.

The homology torsion growth of determinantal hypertrees Inside the critical window for cohomology of random k-complexes

Reference 19

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:aae523242900ebf898efa2606236f9dde302b197b3d49761a70b69bbf2b1d96c

Observation bdd1764d-9f90-49cc-8184-82671a1a5975 · outbound

This paper cites Enumerationof Q-acyclicsimplicialcomplexes.

The homology torsion growth of determinantal hypertrees Enumerationof Q-acyclicsimplicialcomplexes

Reference 20

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:774ac6a08bcd1880a08480d986d9b52662edbe3683b0f6102a0839558bda0f37

Observation 3cb47319-b8f6-488f-8cdb-0692255ce167 · outbound

This paper cites Distribution of the cokernels of determinantal row-sparse matrices.

The homology torsion growth of determinantal hypertrees Distribution of the cokernels of determinantal row-sparse matrices

Reference 21

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Observation 3aed77f6-7fd7-49d4-88e0-4333e6b10e89 · outbound

This paper cites Homological connectivity of random 2-complexes.

The homology torsion growth of determinantal hypertrees Homological connectivity of random 2-complexes

Reference 22

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Observation 46ec6b76-e0fb-4740-9159-7208e9fe770f · outbound

This paper cites On the phase transition in random simplicial complexes.

The homology torsion growth of determinantal hypertrees On the phase transition in random simplicial complexes

Reference 23

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:7b1b693c9300d17aaa9240e2b7109c0b38e764e4541b9eb7d3bd5d21502136a1

Observation 08dc3bb3-df98-4ab5-9c3b-e6ad0478e21d · outbound

This paper cites Enumeration and randomized constructions of hypertrees.

The homology torsion growth of determinantal hypertrees Enumeration and randomized constructions of hypertrees

Reference 24

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:3c1a6b232caac3d896f784169c003e94db55342c27c97785e9964cb53a43acc3

Observation 7c5fe13f-1af8-4211-856a-52f19cf36aca · outbound

This paper cites ApproximatingL2-invariants by their finite-dimensional analogues.Ge- ometric & Functional Analysis GAFA, 4:455–481.

The homology torsion growth of determinantal hypertrees ApproximatingL2-invariants by their finite-dimensional analogues.Ge- ometric & Functional Analysis GAFA, 4:455–481

Reference 25

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:175ca135425ba64fd6e07dc8974b98d6013be65827432415911184f0c54b0654

Observation 6e2563f6-ac2a-4f6f-b7fd-6740ec5e4ec6 · outbound

This paper cites Integral homology of random simplicial complexes.

The homology torsion growth of determinantal hypertrees Integral homology of random simplicial complexes

Reference 26

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:412d6de84115a12cf6ab9694fcaa0dd2b5259f7a9690e65702176511c43239aa

Observation 139d4aa6-8dbd-44dd-a329-6cda03a138f4 · outbound

This paper cites Determinantal probability measures.

The homology torsion growth of determinantal hypertrees Determinantal probability measures

Reference 27

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raw_fallback, observed 2026-05-19T09:03:03.208765Z

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:9439b9c2f3bed7053576bd6c60bb15ec60a20603c88e21a459d5368faf398502

Observation 7ebc512a-5cb2-4ed5-b16e-ddc2144be95b · outbound

This paper cites Asymptotic enumeration of spanning trees.Combinatorics, Probability and Computing, 14(4):491–522.

The homology torsion growth of determinantal hypertrees Asymptotic enumeration of spanning trees.Combinatorics, Probability and Computing, 14(4):491–522

Reference 28

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:b92677a33509311680cd183d938815d1addb90965eb964b8294dfbeeb935bf96

Observation ae5a3841-8a6f-4807-a62b-7a8dbac8223f · outbound

This paper cites Random complexes and ℓ2-betti numbers.

The homology torsion growth of determinantal hypertrees Random complexes and ℓ2-betti numbers

Reference 29

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:ae5626c474d7d469a2b75c4f30d711b2bc5f2adce6ec60649d3d357bf1bba6fe

Observation b4b09fa9-72f8-425c-ad36-39bac531df5c · outbound

This paper cites Identities and inequalities for tree entropy.Combinatorics, Probability and Computing, 19(2):303–313.

The homology torsion growth of determinantal hypertrees Identities and inequalities for tree entropy.Combinatorics, Probability and Computing, 19(2):303–313

Reference 30

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:291ff8c847cc9dce3f1822f87c88972e2347ea7b702c5ce3f1f6b05f41fbdc54

Observation 1ef56739-59e3-477e-97de-33e13291d21c · outbound

This paper cites Cambridge University Press.

The homology torsion growth of determinantal hypertrees Cambridge University Press

Reference 31

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:23bc2a1ba003383938838d74b9b7ae41f83cdc1bcaeed948d61956f5c9a7f129

Observation d9760aa9-f7c8-4035-a840-e02ea14dc47a · outbound

This paper cites Homological connectivity of random k-dimensional complexes.

The homology torsion growth of determinantal hypertrees Homological connectivity of random k-dimensional complexes

Reference 32

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:9f495b85cf22a37381ee5486ca60277dcf020692f3b158adf609be4e0dfaea94

Observation 5aa7aa4f-87ac-4191-ab9a-aaf3466ddf30 · outbound

This paper cites The local weak limit of k-dimensional hypertrees.Transactions of the American Mathematical Society, 375(9):6127–6154.

The homology torsion growth of determinantal hypertrees The local weak limit of k-dimensional hypertrees.Transactions of the American Mathematical Society, 375(9):6127–6154

Reference 33

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:e8ac8cfd305ea831063f4d6cbb85a9fac06d9f7f0f98882d3c6076278eb4d616

Observation aaf5809d-0267-4381-8dde-9e9112b173b0 · outbound

This paper cites The $2$-torsion of determinantal hypertrees is not Cohen-Lenstra.

The homology torsion growth of determinantal hypertrees The $2$-torsion of determinantal hypertrees is not Cohen-Lenstra

Reference 34

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arxiv_id, observed 2026-05-19T09:02:15.076859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:1a6a146fe17891b33f770988b8c7d930f6600121dd8f4a6423bd3230f9848868

Observation 9dea2389-08d3-484a-814b-6760d4b5225c · outbound

This paper cites Coboundary expansion for the union of determinantal hypertrees.

The homology torsion growth of determinantal hypertrees Coboundary expansion for the union of determinantal hypertrees

Reference 35

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:94da4cabdd93c592f6747d472b6ae4ce0b818e34e818fb074a7206cecee56970

Observation aba71408-8c45-41fe-91d4-a60b5e477e81 · outbound

This paper cites Bounds on the mod 2 homology of random 2-dimensional determi- nantal hypertrees.Combinatorica, 45(2):17.

The homology torsion growth of determinantal hypertrees Bounds on the mod 2 homology of random 2-dimensional determi- nantal hypertrees.Combinatorica, 45(2):17

Reference 36

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verified fuzzy
raw_fallback, observed 2026-05-19T09:03:03.370858Z

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:5e89974b91566496949646a068b704dce4a13d33b546a36c36b7a40f83d06ba3

Observation 86ff101d-e3ac-474f-896c-de37f01e3fc3 · outbound

This paper cites Cohen–Lenstra distribution for sparse matrices with determinantal biasing.

The homology torsion growth of determinantal hypertrees Cohen–Lenstra distribution for sparse matrices with determinantal biasing

Reference 37

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verified fuzzy
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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:5e5da3f95017626812db08603fb10c3ff32830097cc600fd4c8a5b9f08ee4829

Observation 35b63848-d4c8-41cd-becd-3154132d818a · outbound

This paper cites The integer homology threshold in Yd(n, p).

The homology torsion growth of determinantal hypertrees The integer homology threshold in Yd(n, p)

Reference 38

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verified fuzzy
raw_fallback, observed 2026-05-19T09:03:03.295452Z

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:7ef4cf901207749e6129f79c48c55003ca62d8c2c451fadef195b0a316afeca3

Observation 627e0758-60a7-4d76-82c2-c7f08f22eec4 · outbound

This paper cites Distribution of labelled trees by diameter.

The homology torsion growth of determinantal hypertrees Distribution of labelled trees by diameter

Reference 39

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verified fuzzy
raw_fallback, observed 2026-05-19T09:03:03.385301Z

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:f7248b77cf6b3a831b0be9febdaa3472f5ae2f04e9191d3b7da7ec874f31de51

Observation 8c6688e1-d151-4b5b-8f2f-aef986c405f7 · outbound

This paper cites Sofic groups and diophantine approximation.Communications on Pure and Applied Mathematics, 61(8):1155–1171.

The homology torsion growth of determinantal hypertrees Sofic groups and diophantine approximation.Communications on Pure and Applied Mathematics, 61(8):1155–1171

Reference 40

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verified fuzzy
raw_fallback, observed 2026-05-19T09:03:03.358882Z

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:93ab0fadf51f8da247282e7d01ca2a4fca0e8f409c445024c117937d6611e463

Observation f3dbef6f-5164-4fd2-add6-ea37618fa54b · outbound

This paper cites Simplex links in determinantal hypertrees.Journal of Applied and Computational Topology, pages 1–26.

The homology torsion growth of determinantal hypertrees Simplex links in determinantal hypertrees.Journal of Applied and Computational Topology, pages 1–26

Reference 41

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verified fuzzy
raw_fallback, observed 2026-05-19T09:03:03.365704Z

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:62645badca96171e34782064a22a6fae04b7d30b12f8fc376f10ed89f00bf874

Pith citing papers

Observation ca9fcb52-32de-4030-9820-53c25080646a · inbound

Using dense graph limit theory to count cocycles of random simplicial complexes cites this paper.

Using dense graph limit theory to count cocycles of random simplicial complexes The homology torsion growth of determinantal hypertrees

Reference 52

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T23:40:03.858916Z digest=sha256:ecaa43872b50148fad27114b3c22268c89d1a43751dfb20cd6bb9d925878ac0c

Observation cc002b18-39b5-4126-bbc2-3161b5a800e9 · inbound

Local limits of determinantal processes cites this paper.

Local limits of determinantal processes The homology torsion growth of determinantal hypertrees

Reference 18

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source=pdf_text observed=2026-08-04T08:50:01.826965Z digest=sha256:298e1c694eba881a9762523c148bdd140db4ed4af80cfe397b347a0b1c83e669

Observation f0ac2785-c831-4980-a2ef-ad3640ff9ad1 · inbound

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns cites this paper.

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$-adic matrices with prescribed zero patterns The homology torsion growth of determinantal hypertrees

Reference 9

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source=pdf_text observed=2026-06-27T21:12:25.854244Z digest=sha256:4841dbceeb8f7a116e2a98d7cd7d4b27b4db30a90c61c434a36fc1e195cb0f01