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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 2026-08-15T06:32:42.880941+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

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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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:ee6f0f8bc3ae3dd34e30eb79588a3d4bde36567650366059caad534ec7aa02da

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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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:c5cea9942b8876d2c8955c93a174f61d2b2affc71665095e83f44f54f79c54c5

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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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=sha256:802aa4d8602cbb1e6c5109f6225bb3c7279558e03a5961ed045c661108813525

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=sha256:0b406bdb6fb9b240fa04a33faf42f9bd7dcb38ec228f401ae21f1fda0a7a8bc1

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:cff9cfe407250b581cf7b3eeab5cd103864813ad8c90cb0550f4a1f5564e2d74

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:3f66c7ae96bee8c33ea2a81d04ee02883279096d5bb7fc354163c1325001b336

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:feb0e3af789c7e63645e8515548c259722335e0dc0bfc6cb2d03f3a6122a51f2

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:815b23111049216b5b958949b88d5438f6546a3bb1cfde3305bec6aa248afb2c

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=sha256:2d7ab2ef7746705b10d79bae7be0d99a751902aac96c180902950fb877eb55c6

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:bd7fd04b27c830bda21282c3a74b84168c5ca93488b5fa97bb35e67aac5ed2f9

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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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:5ebadd7704999cda6e80eaa052ed819ec793ab7b5d3113a0cece69444088a0bb

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=sha256:30151221a6ef042d1bb56956638bdd02df8c30afa859d701bb5779826d0864ad

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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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:ebaae10d2418d93d04fdb0d5231ad912edfec7d2b1e34e9ba4a48832f9d310ba

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=sha256:1e8afc07269992d116e4720d61c27cc47be4abcaf3692cf6196609e25435b565

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

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source=pdf_text observed=2026-05-19T09:00:29.590067Z digest=sha256:9ceae11d0b55dc40b4167357b9d944c2d4367682e8187beeaad38629f57cf4e2

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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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=sha256:9f7b15f8546fc3190e3fe817abb0f91cd002ee5ad6fd7d4e9e226890ea03bc39