Pith. sign in

Paper Citation Record · LEDGER

Monotonicity and decompositions of random regular graphs

As of 15 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2505.22875.

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

pith.paper-citation-record.v1
2505.22875 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:09:46.854371Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:08:36.568860Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T21:08:37.253685Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bada508f-2e8c-4d02-a1be-04fd348612be · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:53.082926Z

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=2026-08-07T13:09:43.778716Z digest=sha256:6c579d5aecae0f7b27235d975c18d6d9babdd63a709f4b5b5d9bb44a260ea71b

Observation dd49e9f5-68c4-4a2a-ad42-846891089fef · outbound

This paper cites Den Hollander, Probability theory: The coupling method, 2012, Lecture notes available online (https://prob.math.leidenuniv.nl/lecturenotes/CouplingLectures.pdf).

Monotonicity and decompositions of random regular graphs Den Hollander, Probability theory: The coupling method, 2012, Lecture notes available online (https://prob.math.leidenuniv.nl/lecturenotes/CouplingLectures.pdf)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:52.763440Z

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=2026-08-07T13:09:43.874078Z digest=sha256:b8212ab27b5d06858330ee813947f4d2101dde27441acc55efe56411e7312c0d

Observation 156cf279-7817-4902-ab59-425b54683934 · outbound

This paper cites Dudek, A.

Monotonicity and decompositions of random regular graphs Dudek, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:52.486096Z

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=2026-08-07T13:09:43.976965Z digest=sha256:a129ea0210706367bd413e9f4c03fcb580248a72b913df6876f4e7e87d699df4

Observation a11e5a98-d8e0-4df4-b75c-dfbcd52d1898 · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:52.294752Z

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=2026-08-07T13:09:44.107340Z digest=sha256:b78e8b550690ed5874f7b84126e44aa0e4786dd4380fe028f1a181c44d601688

Observation 5d3a6df7-43a7-43c8-9d09-985349b805bb · outbound

This paper cites Fountoulakis, F.

Monotonicity and decompositions of random regular graphs Fountoulakis, F

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:51.979352Z

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=2026-08-07T13:09:44.227853Z digest=sha256:e6f6dfcf7827bd2c5bc0368b5faf9cb0a3725a7ddcb609d8748771ad71437741

Observation d56876a3-7fa2-4b85-8013-4e27e2f9d30a · outbound

This paper cites Gao, The number of perfect matchings, and the nesting properties, of random regular graphs, Random Structures and Algorithms62 (2023), no.

Monotonicity and decompositions of random regular graphs Gao, The number of perfect matchings, and the nesting properties, of random regular graphs, Random Structures and Algorithms62 (2023), no

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:51.835849Z

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=2026-08-07T13:09:44.344217Z digest=sha256:7322db5eaa368ef1f80049513c1628e07f6d048c53751bdff55f995b47bd3ac5

Observation f68e1bf7-88b9-40c1-87fb-b8fee90c8ae6 · outbound

This paper cites Gao,Triangles and subgraph probabilities in random regular graphs, The Electronic Journal of Combinatorics (2024), paper P1.2.

Monotonicity and decompositions of random regular graphs Gao,Triangles and subgraph probabilities in random regular graphs, The Electronic Journal of Combinatorics (2024), paper P1.2

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T13:09:44.463981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:09:44.463981Z digest=sha256:fc228f1ac733fb416522aae65ea0451b00bef53e2128808c0e5080c70641f66d

Observation 8a800a39-1383-4435-8413-d70aada1237e · outbound

This paper cites Kim--Vu's sandwich conjecture is true for $d \gg \log^4 n$.

Monotonicity and decompositions of random regular graphs Kim--Vu's sandwich conjecture is true for $d \gg \log^4 n$

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T13:09:44.600349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:09:44.600349Z digest=sha256:a2299c101939cdef6282c2e96a09e649caa73c2a28ae3ceb9e8bd834ce4a1bc6

Observation e40f308c-61e3-4a63-ad98-8e2f9f920844 · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T13:09:44.685421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:09:44.685421Z digest=sha256:c500b976172def7c80453bb405088d7de12fcfa965524ddb8aa119a5120f0b28

Observation 86ed5673-f4a2-4ced-9271-164af60afdf0 · outbound

This paper cites 4, 911– 934.

Monotonicity and decompositions of random regular graphs 4, 911– 934

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T13:09:44.815403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:09:44.815403Z digest=sha256:7f76dff3b0a3d2452b3cd40471137573e2b7b153040252afee5dc68dcb8bcd5a

Observation 74c90385-4b10-4472-b350-e60dce897c2a · outbound

This paper cites Hollom, L.

Monotonicity and decompositions of random regular graphs Hollom, L

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:51.593803Z

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=2026-08-07T13:09:44.953239Z digest=sha256:40c3169102dbfd1a47ece16f1709e5631fc6a7291d817713ff70922ca0d6bb74

Observation 2e798c61-5b32-4ea0-9eb7-fc4f6cd54d7a · outbound

This paper cites Isaev, B.

Monotonicity and decompositions of random regular graphs Isaev, B

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:51.342255Z

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=2026-08-07T13:09:45.081451Z digest=sha256:584048f61e2420bdd6faf2cacfe4e95daa76706d8f955f598f52f2ef48142da7

Observation 6f25c475-0fd2-497a-b5d0-5146332eeee7 · outbound

This paper cites Janson, Orthogonal decompositions and functional limit theorems for random graph statistics, Memoirs of the American Mathematical Society111 (1994), no.

Monotonicity and decompositions of random regular graphs Janson, Orthogonal decompositions and functional limit theorems for random graph statistics, Memoirs of the American Mathematical Society111 (1994), no

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:51.065584Z

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=2026-08-07T13:09:45.208083Z digest=sha256:0c91d0a66c3b91849a6be51ed0141822a0b8f2f446eac9f9e5059df0b0cec864

Observation 4fec518d-353b-4e4a-bec7-e66e028cca89 · outbound

This paper cites Janson,Random regular graphs: asymptotic distributions and contiguity, Combinatorics, Proba- bility and Computing4 (1995), no.

Monotonicity and decompositions of random regular graphs Janson,Random regular graphs: asymptotic distributions and contiguity, Combinatorics, Proba- bility and Computing4 (1995), no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:50.762710Z

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=2026-08-07T13:09:45.312168Z digest=sha256:28d094afdb4a3b2cc8b646ea0f07a2261ddabfd0480a744fb3a4810e962b3d69

Observation 5cfd3b01-0cc3-453e-a684-1757cc62b5e4 · outbound

This paper cites 8, 3321–3332.

Monotonicity and decompositions of random regular graphs 8, 3321–3332

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:50.470247Z

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=2026-08-07T13:09:45.423260Z digest=sha256:1ddc563eb0bce5687f274952ff138615b533aef626f1ff694af6973dac17dc32

Observation 9ff96d2c-4a3b-40c4-bd15-2fd649241baa · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:50.198451Z

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=2026-08-07T13:09:45.520611Z digest=sha256:ffadad7d66894fd70e23b858958b35b3e03d5cd57bfa812735e7a4df9981e4d9

Observation bb5c31e1-509f-41c3-bcfa-7c8c80b75703 · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:49.924829Z

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=2026-08-07T13:09:45.630386Z digest=sha256:60ef4b852edd9d9f24a8e9e6a634d8df9368c19cec54e56ad0cc1271f8bd23ef

Observation e1a48618-ebda-4155-a51d-f7cbe7adc3bf · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:49.645085Z

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=2026-08-07T13:09:45.731432Z digest=sha256:b88f64498e0b5d99803730282f08681ebca608585f677bd2d561615232b1a3a1

Observation b941cee7-c59e-4d80-8c61-8893da57076d · outbound

This paper cites Klimošová, C.

Monotonicity and decompositions of random regular graphs Klimošová, C

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:49.390399Z

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=2026-08-07T13:09:45.839168Z digest=sha256:46ebd5c623592f9989bbda533379213b291e79ac90ab8bac2189ff8852ee48dd

Observation 51446678-62e6-4b84-881c-9dba93a5e093 · outbound

This paper cites Koperberg,Couplings and Matchings: Combinatorial notes on Strassen’s theorem, Statistics and Probability Letters209 (2024), 110089.

Monotonicity and decompositions of random regular graphs Koperberg,Couplings and Matchings: Combinatorial notes on Strassen’s theorem, Statistics and Probability Letters209 (2024), 110089

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T13:09:45.962827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:09:45.962827Z digest=sha256:cdbf95b086c03b640a4262fb2566804ae7fdffd853a7c7a34ee88b1520046dba

Observation 485027a9-5d73-434d-b8ed-ddc759ae31c4 · outbound

This paper cites Krivelevich, B.

Monotonicity and decompositions of random regular graphs Krivelevich, B

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:49.152570Z

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=2026-08-07T13:09:46.065437Z digest=sha256:400bc578c2d650e259c4cf0db475a536ee548d5412a49b5317fc1262077870ab

Observation 76c18198-f43e-4d27-99a4-2441717bfd19 · outbound

This paper cites Lichev, D.

Monotonicity and decompositions of random regular graphs Lichev, D

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:09:48.862930Z

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=2026-08-07T13:09:46.163802Z digest=sha256:5254f4fb03aa6a8d3c2eeb43b269d33c22a9fc60d93512cddd13820bb73561ef

Observation f8643351-fccd-4b4e-af63-436287ec22ac · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:48.572297Z

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=2026-08-07T13:09:46.262139Z digest=sha256:04785313a474ff42079cc324cf2612ea3f634f8586d630bd0f95494fc3663a5f

Observation 48b1c7ec-65dd-4e20-bcf4-34961887d24b · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:48.196333Z

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=2026-08-07T13:09:46.415959Z digest=sha256:9746468c6548f977b184bca2b262e10f5f8bccec0cedc1aeee31a30aab22fab1

Observation bf52da23-abb4-454f-b67a-f48c2622f8ab · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:47.940595Z

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=2026-08-07T13:09:46.505601Z digest=sha256:9bfcb2f00ce3be769519637757597c403dde9586fbb65f8c90a4b53803ca4553

Observation 9d2dd692-4326-433f-82ab-343a3e026cd2 · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:47.649407Z

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=2026-08-07T13:09:46.606761Z digest=sha256:feb6bb70fcf4575c87f5baa6e0f44361823c174f1bb085c968912af5350ddfdf

Observation 87eceeae-8a3e-433d-b82a-daa1cebbcc31 · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:47.439261Z

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=2026-08-07T13:09:46.730876Z digest=sha256:47f3dcce62e99e2d406be70601108dd11368ef4590778d7714088476ea28edce

Observation d470dde3-ea12-439f-83b3-ba5f67e868ff · outbound

This paper cites an unresolved cited work.

Monotonicity and decompositions of random regular graphs Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:09:47.196678Z

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=2026-08-07T13:09:46.854371Z digest=sha256:f1238c7738bdf8573c53da2c86ac8de85cf3e21a2d3fa324c3f4c164ad6d6918

Pith citing papers

Observation 71b127e4-e7d1-49a0-af02-1114f17bb341 · inbound

Sums along the edges of bounded degree graphs cites this paper.

Sums along the edges of bounded degree graphs Monotonicity and decompositions of random regular graphs

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:08:37.306566Z

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=2026-08-06T21:08:36.568860Z digest=sha256:37fcafc6bba7cf28ce1c264766cd2c39b4ebc1d5c75aeea591dbc0b0f221e95b