Paper Citation Record · LEDGER

Distribution of Sandpile groups of random directed bipartite graphs

As of 10 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 2 inbound Pith citation observations for arXiv:2606.10214.

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

pith.paper-citation-record.v1
2606.10214 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T15:37:01.138339Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T02:49:17.136602Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

verified exact2
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b74ab24e-6582-40e3-8f7f-cde025122a1e · outbound

This paper cites an unresolved cited work.

Distribution of Sandpile groups of random directed bipartite graphs Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0595f3a0-b7a9-4814-844a-ab47be4b67e3 · 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 directed 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 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 203c796a-6c57-4ce8-835c-3db2b41ed3b1 · 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 directed 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 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b93a33aa-2591-456d-9828-518ecd6c3dfc · 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 directed 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 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 036d834b-6bb1-4987-9f4b-6a5820950d6c · outbound

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

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

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-03T03:07:34.738203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0a7c9935-9322-480f-b58d-23a0d8b984cd · outbound

This paper cites On a Cohen– Lenstra heuristic for jacobians of random graphs.Journal of Algebraic Combinatorics, 42(3):701–723, 2015.

Distribution of Sandpile groups of random directed bipartite graphs On a Cohen– Lenstra heuristic for jacobians of random graphs.Journal of Algebraic Combinatorics, 42(3):701–723, 2015

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 442a88bc-4d0d-4916-820d-1d15b4c961d1 · outbound

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

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

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5d68c5e-a5c9-4c15-b0b4-35041f8c123e · outbound

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

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

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a110c969-0737-4d80-aa80-22bfc90414a3 · 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 directed 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 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0c0388d-0c6b-4d86-a25e-a8f08054fdbc · 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 directed 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 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ca5bc87-7c55-4965-aff0-bf38541b2a52 · outbound

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

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

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2926451b-b9ba-4e52-b61e-4eacdd56e562 · 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 directed 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 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3878f0f-f6d5-4f30-94cc-1e2a5c329b7a · 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 directed 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 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3a19b2a-57a6-4926-8503-6cea25326097 · outbound

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

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

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad4f629b-5388-4a01-b86e-6eb5c8df7db6 · outbound

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

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

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-03T03:07:34.738399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 652096b9-14e8-4ca3-a13a-2fe41d8ddb6c · outbound

This paper cites Distribution of sandpile groups of random bipartite graphs.

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

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27a72ba9-b486-4f65-9157-861d1c84b1f7 · 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 directed 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 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation adbaf612-10c2-43b1-abc1-2bc058b2fa89 · 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 directed 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 2026-06-27T15:37:01.138339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 471ec5e7-6de1-4851-ace6-db9953f1f2a0 · 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 directed bipartite graphs

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T02:49:17.136602Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Distribution of Sandpile groups of random bipartite graphs cites this paper.

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.