Paper Citation Record · LEDGER

Distribution of Sandpile groups of random bipartite graphs

As of 10 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2607.10056.

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

pith.paper-citation-record.v1
2607.10056 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T00:43:43.380480Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T02:49:16.962989Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

19 of 19 outbound references displayed

verified exact0
verified fuzzy0
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 099836d8-5471-4d45-aa2a-8955406486d6 · outbound

This paper cites an unresolved cited work.

Distribution of Sandpile groups of random bipartite graphs Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6df6e15-9625-4df1-ad15-8f5d6b10e136 · outbound

This paper cites Modeling the dis- tribution of ranks, selmer groups, and shafarevich–tate groups of elliptic curves.Cambridge Journal of Mathematics, 3(3):275–321, 2015.

Distribution of Sandpile groups of random bipartite graphs Modeling the dis- tribution of ranks, selmer groups, and shafarevich–tate groups of elliptic curves.Cambridge Journal of Mathematics, 3(3):275–321, 2015

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8be1d477-47d4-42fb-a86b-9204684ff287 · outbound

This paper cites The cokernel of a polynomial push-forward of a random integral matrix with concentrated residue.

Distribution of Sandpile groups of random bipartite graphs The cokernel of a polynomial push-forward of a random integral matrix with concentrated residue

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1dd61fda-d47a-4ea8-905c-1c84b35fb347 · outbound

This paper cites Generalizations of results of Friedman and Washington on cokernels of random p-adic matrices.Journal of Algebra, 604:636–663, 2022.

Distribution of Sandpile groups of random bipartite graphs Generalizations of results of Friedman and Washington on cokernels of random p-adic matrices.Journal of Algebra, 604:636–663, 2022

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd4344f8-174c-42a7-85ae-343f50ae0afd · outbound

This paper cites The distribution of the cokernel of a polynomial evaluated at a random integral matrix.

Distribution of Sandpile groups of random bipartite graphs The distribution of the cokernel of a polynomial evaluated at a random integral matrix

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56213eb4-08dd-410d-a75c-60486ce298a1 · outbound

This paper cites an unresolved cited work.

Distribution of Sandpile groups of random bipartite graphs Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1620326-ba9f-4660-8595-c5f797fd9420 · outbound

This paper cites On the distribution of divisor class groups of curves over a finite field.

Distribution of Sandpile groups of random bipartite graphs On the distribution of divisor class groups of curves over a finite field

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 725a56ce-738d-47b4-9342-8a07da4102e4 · outbound

This paper cites Sandpile groups of random bipartite graphs and families of distributions with the same moments.

Distribution of Sandpile groups of random bipartite graphs Sandpile groups of random bipartite graphs and families of distributions with the same moments

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e901c86c-2ef0-4224-ad8e-a449971a8a63 · outbound

This paper cites The distribution of sandpile groups of random graphs with their pairings.Transactions of the American Mathematical Society, 377(12):8769–8815, 2024.

Distribution of Sandpile groups of random bipartite graphs The distribution of sandpile groups of random graphs with their pairings.Transactions of the American Mathematical Society, 377(12):8769–8815, 2024

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa25bbc2-da06-4df5-a6c7-11095ca7ce6e · outbound

This paper cites Sandpile groups and the coeulerian property for random directed graphs.Advances in Applied Mathematics, 90:145–159, 2017.

Distribution of Sandpile groups of random bipartite graphs Sandpile groups and the coeulerian property for random directed graphs.Advances in Applied Mathematics, 90:145–159, 2017

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf70846a-e4df-46ea-9f69-bfc60c1471c1 · outbound

This paper cites Joint distribution of the cokernels of random p-adic matrices.

Distribution of Sandpile groups of random bipartite graphs Joint distribution of the cokernels of random p-adic matrices

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49c32574-f584-43cf-8b51-20d778a20552 · outbound

This paper cites The distribution of sandpile groups of random regular graphs.Transactions of the Amer- ican Mathematical Society, 373(9):6529–6594, 2020.

Distribution of Sandpile groups of random bipartite graphs The distribution of sandpile groups of random regular graphs.Transactions of the Amer- ican Mathematical Society, 373(9):6529–6594, 2020

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bb0c8b7-eef0-454a-a206-85c2bb0b13f0 · outbound

This paper cites Random integral matrices: universality of surjectivity and the cokernel.Inventiones mathematicae, 228(1):1–76, 2022.

Distribution of Sandpile groups of random bipartite graphs Random integral matrices: universality of surjectivity and the cokernel.Inventiones mathematicae, 228(1):1–76, 2022

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a07291fc-ebe3-4bb7-b59e-725bb8879ae6 · outbound

This paper cites Local and global universality of random matrix cokernels.

Distribution of Sandpile groups of random bipartite graphs Local and global universality of random matrix cokernels

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae6d36e6-d82c-4130-8e8a-39f48423e626 · outbound

This paper cites Quantative universality for cokernels of matrices with symmetries.arXiv preprint arXiv:2601.09704, 2026.

Distribution of Sandpile groups of random bipartite graphs Quantative universality for cokernels of matrices with symmetries.arXiv preprint arXiv:2601.09704, 2026

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eba6371f-95ed-44e6-97cf-ec22ab46b9f8 · outbound

This paper cites Distribution of Sandpile groups of random directed bipartite graphs.

Distribution of Sandpile groups of random bipartite graphs Distribution of Sandpile groups of random directed bipartite graphs

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a51ced6d-7ba3-458b-bed1-4bf46e1ca717 · outbound

This paper cites The distribution of sandpile groups of random graphs.Journal of the American Mathematical Society, 30(4):915–958, 2017.

Distribution of Sandpile groups of random bipartite graphs The distribution of sandpile groups of random graphs.Journal of the American Mathematical Society, 30(4):915–958, 2017

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c052e3d-0d69-4f3a-aba0-d0153c9294bf · outbound

This paper cites Random integral matrices and the cohen-lenstra heuristics.American Journal of Mathematics, 141(2):383–398, 2019.

Distribution of Sandpile groups of random bipartite graphs Random integral matrices and the cohen-lenstra heuristics.American Journal of Mathematics, 141(2):383–398, 2019

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a9ceb83-153d-4eeb-ae4e-4cce5121f6f0 · outbound

This paper cites Probability theory for random groups arising in number theory.

Distribution of Sandpile groups of random bipartite graphs Probability theory for random groups arising in number theory

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T00:43:43.380480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation f2ec8de0-a5c7-4622-a946-22d259fcf4b7 · inbound

Universality for cokernels of partially random integral matrices cites this paper.

Universality for cokernels of partially random integral matrices Distribution of Sandpile groups of random bipartite graphs

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T02:49:16.962989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.