Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T21:08:37.132364Z
Paper Citation Record · LEDGER
Sums along the edges of bounded degree graphs
As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2507.01138.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T04:38:43.501998Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T04:38:54.310727Z
Reference resolution
26 of 26 outbound references displayed
- verified exact2
- verified fuzzy12
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8e703ffa-8159-4800-9fa1-836a5961e6af · outbound
This paper cites an unresolved cited work.
Sums along the edges of bounded degree graphs Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:08:42.436685Z
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.
Observation 3ca228ea-cc84-4b6f-8766-435e679ad0d5 · outbound
This paper cites an unresolved cited work.
Sums along the edges of bounded degree graphs Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:08:42.272924Z
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.
Observation bb7d99c6-70e2-4672-bcd8-843bbcab3c68 · outbound
This paper cites an unresolved cited work.
Sums along the edges of bounded degree graphs Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:08:42.034726Z
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.
Observation 33948f0d-1f7b-4be9-84cd-e4e24267b0cc · outbound
This paper cites an unresolved cited work.
Sums along the edges of bounded degree graphs Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:08:41.852994Z
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.
Observation 9535d36a-4f46-4042-bb6e-6deee2952628 · outbound
This paper cites Barik, D.
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:41.636180Z
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.
Observation 2e7ee743-5112-433f-a6cf-158dc99f7ea8 · outbound
This paper cites Bollob´ as,Random Graphs, second edition, Cambridge University Press, 2001.
Sums along the edges of bounded degree graphs Bollob´ as,Random Graphs, second edition, Cambridge University Press, 2001
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:41.447777Z
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.
Observation 2803fe99-3b2a-498e-83a1-134acad3d8c0 · outbound
This paper cites Bollob´ as, W.
Sums along the edges of bounded degree graphs Bollob´ as, W
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:41.282302Z
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.
Observation 43008ef6-bd9b-42f2-b17e-049961dad863 · outbound
This paper cites an unresolved cited work.
Sums along the edges of bounded degree graphs Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:08:41.144061Z
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.
Observation fd496409-0ceb-47aa-9246-deba3783f9a2 · outbound
This paper cites Erd˝ os, E.
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:40.869490Z
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.
Observation 0b0ff20b-75f4-4c25-9069-19dec1551f7e · outbound
This paper cites Galbraith, Mathematics of public key cryptography, Cambridge University Press, 2012.
Sums along the edges of bounded degree graphs Galbraith, Mathematics of public key cryptography, Cambridge University Press, 2012
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:40.654965Z
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.
Observation 8cf28d1f-e055-4510-9f44-1ec4edb68193 · outbound
This paper cites Gao, The number of perfect matchings, and the nesting properties, of random regular graphs, Random Structures and Algorithms, 62:4 (2023) 935–955.
Sums along the edges of bounded degree graphs Gao, The number of perfect matchings, and the nesting properties, of random regular graphs, Random Structures and Algorithms, 62:4 (2023) 935–955
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:40.412664Z
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.
Observation 0ad58e1c-251a-4076-8a35-075ec469015b · outbound
This paper cites an unresolved cited work.
Sums along the edges of bounded degree graphs Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:08:40.172247Z
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.
Observation 76cc894a-6fbe-474b-8788-23d6c5c72f3b · outbound
This paper cites Diaconis, D.
Sums along the edges of bounded degree graphs Diaconis, D
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:39.918793Z
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.
Observation b935ea90-37ae-4dcc-a526-2d5a6d2bba75 · outbound
This paper cites Kim--Vu's sandwich conjecture is true for $d \gg \log^4 n$.
Sums along the edges of bounded degree graphs Kim--Vu's sandwich conjecture is true for $d \gg \log^4 n$
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T21:08:36.245011Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aee987a7-dc29-4a5e-96de-edcae304203c · outbound
This paper cites Sandwiching random regular graphs between binomial random graphs.
Sums along the edges of bounded degree graphs Sandwiching random regular graphs between binomial random graphs
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T21:08:37.443459Z
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.
Observation 848d4ba9-f2f9-4ff3-8547-3c4894a23a34 · outbound
This paper cites Granville, J.
Sums along the edges of bounded degree graphs Granville, J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:39.734923Z
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.
Observation 9d91e6ca-1fa7-43d1-9caf-d407344f51a7 · outbound
This paper cites Hajnal, E.
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:39.543922Z
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.
Observation 71b127e4-e7d1-49a0-af02-1114f17bb341 · outbound
This paper cites Monotonicity and decompositions of random regular graphs.
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 2026-08-12T06:34:41.77262+00:00.
Observation 294f9262-48ac-4c63-9bbb-3891b6313bfe · outbound
This paper cites Janson, Random regular graphs: Asymptotic distributions and contiguity , Combinatorics, Probability and Computing, 4 (1995) 369–405.
Sums along the edges of bounded degree graphs Janson, Random regular graphs: Asymptotic distributions and contiguity , Combinatorics, Probability and Computing, 4 (1995) 369–405
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:39.310939Z
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.
Observation 0479139e-7b57-4b63-8298-61a12b9a3f7d · outbound
This paper cites Janson, T.
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:39.042863Z
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.
Observation 2faa2308-a43c-470d-9bb0-668e8880f8cf · outbound
This paper cites an unresolved cited work.
Sums along the edges of bounded degree graphs Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:08:38.776094Z
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.
Observation bf334547-af38-4db7-9d0f-4b52649b158a · outbound
This paper cites an unresolved cited work.
Sums along the edges of bounded degree graphs Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:08:38.524507Z
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.
Observation c53adaa2-269b-4420-a45e-cb5dcf3990b9 · outbound
This paper cites an unresolved cited work.
Sums along the edges of bounded degree graphs Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:08:38.256758Z
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.
Observation d6100481-19a2-40df-b12c-3d780c3c6e39 · outbound
This paper cites an unresolved cited work.
Sums along the edges of bounded degree graphs Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:08:38.029469Z
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.
Observation d29d5f3f-e9c2-460f-b725-8be7d9aa1270 · outbound
This paper cites an unresolved cited work.
Sums along the edges of bounded degree graphs Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:08:37.735564Z
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.
Observation 36df8e77-da80-46be-9718-befa81160e1b · outbound
This paper cites Sauer, J.
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:08:37.606611Z
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.
Pith citing papers
Observation bb8cdc5c-39b6-465b-b71b-57de2b10ec39 · inbound
Universality in random graphs via optimal linking systems: trees and beyond cites this paper.
Universality in random graphs via optimal linking systems: trees and beyond Sums along the edges of bounded degree graphs
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T04:38:54.415307Z
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.