Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T23:25:36.608904Z
Paper Citation Record · LEDGER
Improved lower bounds on the maximum size of graphs with girth 5
As of 22 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2508.05562.
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 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-18T01:18:42.333269Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-18T01:20:34.537144Z
Reference resolution
38 of 38 outbound references displayed
- verified exact1
- verified fuzzy19
- unresolved18
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b5369f6d-0478-4ae5-996c-1ca458244969 · outbound
This paper cites Abajo, C.
Improved lower bounds on the maximum size of graphs with girth 5 Abajo, C
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.217259Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f687c2e6-5570-4b51-b88c-a697088e3ca7 · outbound
This paper cites Abajo, C.
Improved lower bounds on the maximum size of graphs with girth 5 Abajo, C
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.202617Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 19a7fbee-4a18-43cd-8084-3ff014ea87f0 · outbound
This paper cites Abajo and A.
Improved lower bounds on the maximum size of graphs with girth 5 Abajo and A
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.187390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c009bbc3-5a4e-4d10-ac72-ef0f42116421 · outbound
This paper cites Abajo and A.
Improved lower bounds on the maximum size of graphs with girth 5 Abajo and A
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.172663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 14cd8bd2-746d-47cd-ba4a-6475b2360c4f · outbound
This paper cites Abajo and A.
Improved lower bounds on the maximum size of graphs with girth 5 Abajo and A
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.157753Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b0132911-e86f-466c-b159-f14dbf0387e8 · outbound
This paper cites Afzaly and B.
Improved lower bounds on the maximum size of graphs with girth 5 Afzaly and B
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.142976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b742d130-ac12-4e54-950e-20aeeb8a366f · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:37.128629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a23fc88e-f1f0-4211-9572-0f0a836ef347 · outbound
This paper cites Sizes of the extremal girth 5 graphs of orders from 40 to 49.
Improved lower bounds on the maximum size of graphs with girth 5 Sizes of the extremal girth 5 graphs of orders from 40 to 49
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T23:25:36.689788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 452a0953-b4e1-44e4-acaf-52f2544d80cb · outbound
This paper cites Balbuena, M.
Improved lower bounds on the maximum size of graphs with girth 5 Balbuena, M
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.113731Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 515b4cd9-9a31-4586-84b0-27dce4d3575a · outbound
This paper cites Balbuena and X.
Improved lower bounds on the maximum size of graphs with girth 5 Balbuena and X
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.098449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9c8291ca-11d6-41ed-8a9b-aebcd07f27c4 · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:37.083600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 208a47e0-2427-463f-bf8f-6f68f8611c91 · outbound
This paper cites PatternBoost: Constructions in Mathematics with a Little Help from AI.
Improved lower bounds on the maximum size of graphs with girth 5 PatternBoost: Constructions in Mathematics with a Little Help from AI
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T23:25:34.475665Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bba66b25-126b-451c-9472-e106aff9b678 · outbound
This paper cites Coolsaet, S.
Improved lower bounds on the maximum size of graphs with girth 5 Coolsaet, S
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.069521Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1cbcd7db-17a2-4350-b3bb-3aeba37eb077 · outbound
This paper cites Downs, R.
Improved lower bounds on the maximum size of graphs with girth 5 Downs, R
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.055086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 06f0dc05-8f2f-4464-9af8-78e65129e74b · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:37.040559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0334fc0c-5bed-44cb-b850-51bbb473fe2c · outbound
This paper cites Erdős and M.
Improved lower bounds on the maximum size of graphs with girth 5 Erdős and M
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.025815Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 57f26d01-4e61-49e7-bc98-9696088484fc · outbound
This paper cites Erdős and A.
Improved lower bounds on the maximum size of graphs with girth 5 Erdős and A
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:37.010843Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2647d2bf-dd17-42ea-940c-f66dbaca0678 · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.996281Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation db5f9d2e-5a13-44e4-baa2-b9a660ba6e5b · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.982564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation df9995d6-9f20-4362-9ce7-d81b98c23e86 · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.968423Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 95b00ec1-4611-4394-83fd-43fa917a4c6c · outbound
This paper cites Füredi, A.
Improved lower bounds on the maximum size of graphs with girth 5 Füredi, A
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:36.954471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2b843878-d48c-4a6a-a280-1d36b51ba0e9 · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.939899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fc32322a-900a-4898-8480-d4b8b1698c65 · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.924093Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 47d511a5-368f-4fe9-9dee-c2624f4fc4f6 · outbound
This paper cites Computational methods for finding bi-regular cages.
Improved lower bounds on the maximum size of graphs with girth 5 Computational methods for finding bi-regular cages
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T23:25:36.084516Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6107e7d7-da0b-47b6-8aae-64e559bbf6bf · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.909559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 36a0cbaa-697d-4336-9112-4f5e819106ab · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.894064Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 50fb3b2c-b090-492f-9b78-372f08335e36 · outbound
This paper cites Jooken and T.
Improved lower bounds on the maximum size of graphs with girth 5 Jooken and T
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:36.877680Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a2e2fb3f-5391-42d4-ae5c-9db03a8dade4 · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.863207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bb43cb7a-dd34-4458-a4dc-8391f70e7660 · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.847022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1ad971f6-e56a-4c95-a7bc-01016b579802 · outbound
This paper cites Marshall.Extremal networks and connectivity.
Improved lower bounds on the maximum size of graphs with girth 5 Marshall.Extremal networks and connectivity
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:36.831591Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d7477b61-fd2d-40b6-861c-7c7ba56fd329 · outbound
This paper cites Marshall, M.
Improved lower bounds on the maximum size of graphs with girth 5 Marshall, M
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:36.814032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c51fa2b0-0962-4904-b0af-a4776febdadb · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T23:25:36.583638Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation affd211f-da67-4289-9675-c08114a788fc · outbound
This paper cites Mehrabian, A.
Improved lower bounds on the maximum size of graphs with girth 5 Mehrabian, A
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:36.786434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d1c24052-5973-40f3-b863-904ca61675de · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.770773Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5ef7fd86-caea-49b7-bd05-5bb569c3d764 · outbound
This paper cites Sudakov and I.
Improved lower bounds on the maximum size of graphs with girth 5 Sudakov and I
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:36.754963Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 78c6d031-5317-4274-833b-a8f83bb9d747 · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.738559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 918fb65f-940b-42bd-a4ee-71df6ea4ca61 · outbound
This paper cites an unresolved cited work.
Improved lower bounds on the maximum size of graphs with girth 5 Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:25:36.721660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0cda4c77-a226-4cd7-b0a6-a0e5ac6387f4 · outbound
This paper cites Yuansheng and W.
Improved lower bounds on the maximum size of graphs with girth 5 Yuansheng and W
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:25:36.706284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
Observation 3c20415b-54e9-4af0-a898-5ebfc62b6d44 · inbound
Mathematical exploration and discovery at scale cites this paper.
Mathematical exploration and discovery at scale Improved lower bounds on the maximum size of graphs with girth 5
Reference 144
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T01:20:34.539569Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.