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Paper Citation Record · LEDGER

On the Borodin--Kostochka conjecture for graphs with large maximum degree

As of 5 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2603.16670.

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

pith.paper-citation-record.v1
2603.16670 v3

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-15T10:08:17.970864Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

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 exact2
  • verified fuzzy5
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fb4ca350-76e0-4b55-aa8c-482c2497cf48 · outbound

This paper cites Azuma, Weighted sums of certain dependent random variables,Tohoku Math.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Azuma, Weighted sums of certain dependent random variables,Tohoku Math

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-15T10:09:56.344863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:d4d8d8a7a6696a67d6fb9fffc14c5cd8e1c1cd125350c4ff1944e66dde31d92b

Observation 876c4e72-ed33-4b62-afea-9a55500bac00 · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.353476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:09e5e539eae2049dc7f3c77a68d2302124a0387b5959906bbbdb22d3636ada43

Observation b80b0d17-9610-4b79-ba14-1e0d432d64b1 · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.367082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:84f50072c5915dd0d5cb3fcc2ebbed8094ff0f7624e806cd2738a7a75366e91d

Observation 1e89683a-8e6e-4c12-b5ff-39657ea5df7c · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.369963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:1766d91c426ea2a6ac8b5ab5461236dd91ec5fa3e33ad82abb9317edb70d352e

Observation ea546d36-dfbc-4247-87ab-123c1a9dff23 · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.346518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:1b7ecc721b6fa98b27d8fb054f818da27c7ba5cd7e0acdd9000fbe8cef6bf338

Observation 44439291-37e2-4c2b-b441-640867bd1309 · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.357307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:bb1bc208744eec576cb7b5eebc895123827c2714c0db13f5914336f453e9830b

Observation a20316ab-384e-48d4-bcfd-82d3a74a7ebb · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.360509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:3934c99f0dc3e1ba1fcd9be1e2ae4f4d86a4c3b8a326848b50e1e19c19527c66

Observation 8f7bce95-19d8-41c5-9611-78a752b10cf1 · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.342989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:3a60e33c4fdb132031744934d12ed779ce3baac75f459e409a917b4394804beb

Observation 04447e61-5393-48bf-a21b-a5b8d7ce3153 · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.330737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:5196c129120ce6cf96e6d605d6c4581f40bb60883a5e19a28c2cf90ee62ca51f

Observation 5cb65d0f-5d3f-4a52-9c33-244a56cff09c · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.376996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:2c50f6f86d02669eb08e615aa1a347dd41ddd37d61497641bb587576ac15c604

Observation 94f08930-7fe0-44a0-bcf7-340c00eb3ab2 · outbound

This paper cites Dvořák, R.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Dvořák, R

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-15T10:09:55.901857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:09dc1b77e49564f7bff78206d589c53557220e5ce315c847ab5c35079a2a3024

Observation 8bacae2d-1fbb-4790-9847-2d49ac66127b · outbound

This paper cites Erdős and L.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Erdős and L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-15T10:09:56.324296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:85eb20a4d72bbca302a5cd724f9150411fb9c580a816e951639eb8de823c02b0

Observation ca67723e-6a17-4cb9-a32f-fffbdd7d2e26 · outbound

This paper cites Galindo, T.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Galindo, T

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-15T10:09:56.321754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:312118345c710e099b569e4f327a4d2a88214bab8d5d03da072d9175a4db6ed9

Observation 82e184d7-e625-41f4-8183-048ff8211886 · outbound

This paper cites Gupta and D.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Gupta and D

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-15T10:09:56.373478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:23a4773d4d127c94cda995287c2a55410d1869ff8254f655cbdb098766842004

Observation 1c2ddb50-d497-4b78-91b1-2342d0fcd739 · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.334143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:042bcef94d415145f00c115c3fb8a9809b0156222138353d68f4e709d1500981

Observation 7a2684e6-ef31-4f82-84bb-fbb93b4dd7b1 · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.363780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:e41c42928a0a3295e06cc1967eb74640cbc0b53c55bd61b1f763e3cbb8f85919

Observation 8c9dc8df-2263-47fd-a148-ee9558dda1e4 · outbound

This paper cites an unresolved cited work.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-15T10:09:56.337484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:6ae93449fc7d93c4ce20249a869bdfcde2f8fed26a233f8980a2a6b8237e06c7

Observation a820837a-204f-4355-8059-be34b2393fa0 · outbound

This paper cites Reed, A strengthening of Brooks’ theorem,J.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Reed, A strengthening of Brooks’ theorem,J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-15T10:09:56.349797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:b1c191d1eabb96f4c76ec646cf6d1c2bbe00c719cb787e87c8abdd94e9accfd1

Observation 68d7c063-310a-4be1-8f04-44d30268ffa7 · outbound

This paper cites Wu and R.

On the Borodin--Kostochka conjecture for graphs with large maximum degree Wu and R

Reference 19

Resolution
verified exact
doi, observed 2026-05-15T10:09:55.355728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-15T10:08:17.970864Z digest=sha256:af837e7e3499b9ad4a9776224754e3b777a18f69d22af00a24ab769351d37af1

Pith citing papers

No inbound Pith citation observations are available.