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Paper Citation Record · LEDGER

Monotonicity and decompositions of random regular graphs

As of 13 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 2026-08-12T06:34:41.77262+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
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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

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

This paper cites Dudek, A.

Monotonicity and decompositions of random regular graphs Dudek, A

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:09:44.344217Z digest=sha256:f0dcb51e09a38eef5ec1c7fd233e1b0f94e0a77dac99bebecbeb7f3cbb03f551

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
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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
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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
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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
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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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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 2026-08-12T06:34:41.77262+00:00.

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

This paper cites Klimošová, C.

Monotonicity and decompositions of random regular graphs Klimošová, C

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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

This paper cites Lichev, D.

Monotonicity and decompositions of random regular graphs Lichev, D

Reference 22

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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