Paper Citation Record · LEDGER

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

As of 19 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2607.08607.

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

pith.paper-citation-record.v1
2607.08607 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T05:05:26.576229Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

verified exact1
verified fuzzy22
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b1372e81-c06f-49c5-ad6d-53db408961f4 · outbound

This paper cites Positivity preserving transformations for q-binomial coefficients.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Positivity preserving transformations for q-binomial coefficients

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.178560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0a6d0ab7-ad7b-4175-acda-348683ded380 · outbound

This paper cites The rank of the sandpile group of random directed bipartite graphs.Annals of Combinatorics, 27(4):979–992, 2023.

Sandpile groups of random bipartite graphs and families of distributions with the same moments The rank of the sandpile group of random directed bipartite graphs.Annals of Combinatorics, 27(4):979–992, 2023

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.174237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 517c9f6f-0d45-4720-9fce-d51dcf77e582 · outbound

This paper cites q-Derivatives of multivariable q-hypergeometric function with respect to their parameters.Physics of Particles and Nuclei Letters, 18(3):284–289, 2021.

Sandpile groups of random bipartite graphs and families of distributions with the same moments q-Derivatives of multivariable q-hypergeometric function with respect to their parameters.Physics of Particles and Nuclei Letters, 18(3):284–289, 2021

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.172227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3ec7d917-0038-4730-9a6e-2b629c6c27fe · outbound

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

Sandpile groups of random bipartite graphs and families of distributions with the same moments On a Cohen–Lenstra heuristic for Jacobians of random graphs.Journal of Algebraic Combinatorics, 42(3):701–723, 2015

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.190142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 270df02e-e04b-4a51-b661-81ed338de56b · outbound

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

Sandpile groups of random bipartite graphs and families of distributions with the same moments On the distribution of divisor class groups of curves over a finite field

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.150664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a4f4923b-3a22-46fc-acb3-196bd7393c68 · outbound

This paper cites Random partitions and Cohen–Lenstra heuristics.Annals of Combina- torics, 23(2):295–315, 2019.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Random partitions and Cohen–Lenstra heuristics.Annals of Combina- torics, 23(2):295–315, 2019

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.157509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 10c90ece-fe38-4e55-b878-62c51996be24 · outbound

This paper cites Sandpile groups of random bipartite graphs – numerical experiments.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Sandpile groups of random bipartite graphs – numerical experiments

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.133654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d6ae6f0e-2db5-4a5d-b78b-d8b34a0f4107 · outbound

This paper cites Random matrices, the Cohen–Lenstra heuristics, and roots of unity.Algebra & Number Theory, 9(1):149–171, 2015.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Random matrices, the Cohen–Lenstra heuristics, and roots of unity.Algebra & Number Theory, 9(1):149–171, 2015

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.165051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 64eb06d4-0a85-46ce-9fbd-f7d0d3062c3b · outbound

This paper cites Cambridge University Press, Cambridge, second edition, 2004.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Cambridge University Press, Cambridge, second edition, 2004

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.170076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 474015fb-3904-4680-bf5a-4e468696c03c · outbound

This paper cites The distribution of sandpile groups of random graphs with their pairings.Trans.

Sandpile groups of random bipartite graphs and families of distributions with the same moments The distribution of sandpile groups of random graphs with their pairings.Trans

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.176130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 58430de7-8e7f-4ddd-8f0c-4c1905def92c · outbound

This paper cites Sandpile groups of random bipartite graphs.Annals of Combinatorics, 27(1):1–18, 2023.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Sandpile groups of random bipartite graphs.Annals of Combinatorics, 27(1):1–18, 2023

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.131826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1762ce15-509d-4d03-aac3-fcb23a5fe178 · outbound

This paper cites Cohen-Lenstra heuristics and bilinear pairings in the presence of roots of unity.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Cohen-Lenstra heuristics and bilinear pairings in the presence of roots of unity

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-10T05:06:47.869062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c7809483-3596-4efb-bd0d-5e92105dab39 · outbound

This paper cites Oxford University Press, 1998.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Oxford University Press, 1998

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.135723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 87789d80-6cfa-4b59-aec6-b540c82c8d2f · outbound

This paper cites On the distribution of class groups of number fields.Experimental Mathematics, 19(4):465–474, 2010.

Sandpile groups of random bipartite graphs and families of distributions with the same moments On the distribution of class groups of number fields.Experimental Mathematics, 19(4):465–474, 2010

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.137757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0b20d6f1-9d6a-4532-be16-f6985add723a · outbound

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

Sandpile groups of random bipartite graphs and families of distributions with the same moments The distribution of sandpile groups of random regular graphs.Transactions of the American Mathematical Society, 373(9):6529–6594, 2020

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.143301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e6960ac7-0874-43ba-9103-f22965449221 · outbound

This paper cites Universality for cokernels of random matrix products.Advances in Mathematics, 438:Paper No.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Universality for cokernels of random matrix products.Advances in Mathematics, 438:Paper No

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.147571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 53f3761d-fe80-4a1c-aa10-8c4f30ea7bf0 · outbound

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

Sandpile groups of random bipartite graphs and families of distributions with the same moments Local and global universality of random matrix cokernels.Math

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.152616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 31fa68b3-6db3-4e44-aec0-77c6e3e5c865 · outbound

This paper cites Random maximal isotropic subspaces and Selmer groups.Journal of the American Mathematical Society, 25(1):245–269, 2012.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Random maximal isotropic subspaces and Selmer groups.Journal of the American Mathematical Society, 25(1):245–269, 2012

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.168108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cac0db1b-c65f-4efa-815f-fd38827d5e9c · outbound

This paper cites The moment problem for random objects in a category.

Sandpile groups of random bipartite graphs and families of distributions with the same moments The moment problem for random objects in a category

Reference 19

Resolution: metadata mismatch; local_arxiv, observed 2026-07-10T05:06:47.871493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2a83030c-7b4a-4e45-8031-dc273139b565 · outbound

This paper cites Sandpile groups of random bipartite graphs.Preprint, 2026.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Sandpile groups of random bipartite graphs.Preprint, 2026

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.183052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c11b6212-6890-4dc1-8957-9ea1ebbccb9a · outbound

This paper cites Symmetric functions and the explicit moment problem for abelian groups.Proc.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Symmetric functions and the explicit moment problem for abelian groups.Proc

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.184778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2e6f0f9f-6d74-4f78-8972-356feffc9298 · outbound

This paper cites Dedekind’s η-function and Rogers–Ramanujan identities.Bulletin of the London Mathematical Society, 44(1):1–11, 2012.

Sandpile groups of random bipartite graphs and families of distributions with the same moments Dedekind’s η-function and Rogers–Ramanujan identities.Bulletin of the London Mathematical Society, 44(1):1–11, 2012

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.188428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7902dcf1-5e38-412f-90e2-fcc27e0d31e7 · outbound

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

Sandpile groups of random bipartite graphs and families of distributions with the same moments The distribution of sandpile groups of random graphs.Journal of the American Mathematical Society, 30(4):915–958, 2017

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.186592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 67b145c8-18b7-4d9f-a7d4-703149e98004 · outbound

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

Sandpile groups of random bipartite graphs and families of distributions with the same moments Probability theory for random groups arising in number theory

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:06:48.180460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

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

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

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.