Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:00:47.048997Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2501.00567.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:00:47.048997Z
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 2026-08-10T00:24:26.471516Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-10T00:24:26.540909Z
46 of 46 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 69dfb6aa-3d4c-4eff-8a78-39bf1b2d576c · outbound
Local Shearer bound Unresolved cited work
Reference 1
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 1b4f4555-3403-4720-af0d-81ebd0f72ee8 · outbound
Local Shearer bound Unresolved cited work
Reference 2
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 f1d6dd04-867f-4b84-9f8c-5080a6ab7447 · outbound
Local Shearer bound Anderson, A
Reference 3
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 5829f381-770b-4aec-b615-c945b4203cdc · outbound
Local Shearer bound Anderson, A
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ec5fe1b0-3534-4026-b18c-8f761e5ef5c8 · outbound
Local Shearer bound B´ ar´ any
Reference 5
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 0de536fe-00cc-4dd7-b088-24cd4c8fe28d · outbound
Local Shearer bound Bernshteyn, T
Reference 6
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 c268cbc0-417f-4970-af8c-3acb465fee6d · outbound
Local Shearer bound Unresolved cited work
Reference 7
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 347f5f10-431e-4881-a3e2-c60efa54b779 · outbound
Local Shearer bound Bohman and P
Reference 8
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 4f6b27f1-690e-49a9-a282-4a93b494c0c1 · outbound
Local Shearer bound Bollob´ as
Reference 9
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 cea9038e-1c42-4833-83f9-fd0088973806 · outbound
Local Shearer bound Bonamy, T
Reference 10
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 fdfc47b8-5e5f-4509-a5c9-dc6bb126d708 · outbound
Local Shearer bound Bipartite graphs are $(\frac{4}{5}-\varepsilon) \frac{\Delta}{\log \Delta}$-choosable
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8356aa6e-41cc-485c-9fb1-5b53b89889fd · outbound
Local Shearer bound Cames van Batenburg, R
Reference 12
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 ec7227bc-2ed3-4506-83ee-66b6d6804588 · outbound
Local Shearer bound Unresolved cited work
Reference 13
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 250753d2-a8ff-4257-8e0e-ba5843eaf66b · outbound
Local Shearer bound Cvetkovic
Reference 14
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 7cd104a9-99cd-430c-b168-d848495f774c · outbound
Local Shearer bound Davies, R
Reference 15
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 021f2900-695a-445c-ac14-7d68b9041fa6 · outbound
Local Shearer bound Davies, R
Reference 16
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 269230fa-7ae1-478f-ba64-079c3f9eb4a7 · outbound
Local Shearer bound Davies and F
Reference 17
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 0760b5f2-1c63-4413-8724-d3fc01dd26d2 · outbound
Local Shearer bound Davies, M
Reference 18
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 d90b4344-8eac-47ca-b697-c3003e6cd26a · outbound
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fdcb6320-964f-4509-8752-8fdc4122778e · outbound
Local Shearer bound Bounds for the independence and chromatic numbers of locally sparse graphs
Reference 20
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 5a40260f-8eb0-437b-b3b2-3bdb7a9d48ca · outbound
Local Shearer bound Dvoˇ r´ ak, J
Reference 21
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 1a8584a4-8a30-4a50-a03b-3029dfce96dd · outbound
Local Shearer bound Unresolved cited work
Reference 22
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 c39d9442-3bf6-443a-9638-1736f42317e5 · outbound
Local Shearer bound Erd˝ os and A
Reference 23
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 2ab24d62-a9bb-4bf9-ab7d-e9caf709b76c · outbound
Local Shearer bound Esperet, R
Reference 24
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 4a47f03c-235b-4009-8d28-9e69875c20da · outbound
Local Shearer bound Fiz Pontiveros, S
Reference 25
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 6bb199f1-920a-4b53-bad0-607cff2280db · outbound
Local Shearer bound Guo and S
Reference 26
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 5bfc9f01-ab44-41ea-a7c4-ee801b2af6b9 · outbound
Local Shearer bound Unresolved cited work
Reference 27
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 ecc47ecc-980b-45f4-92af-44b166058cb6 · outbound
Local Shearer bound Unresolved cited work
Reference 28
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 1e728d64-4add-49f6-a36e-1d5e7e943fd9 · outbound
Local Shearer bound Unresolved cited work
Reference 29
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 8f9640a4-9eac-45ed-9fc8-eaa70af59623 · outbound
Local Shearer bound Unresolved cited work
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f69bacc0-0e3a-4098-a8de-a7c107b93f9d · outbound
Local Shearer bound Hurley, R
Reference 31
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 48f77a39-053b-446c-abc3-ac33d5522d2c · outbound
Local Shearer bound Hurley and F
Reference 32
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 445e4f44-b1cc-4c07-a299-b01b378a5d26 · outbound
Local Shearer bound Johansson
Reference 33
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 fb99613c-6a1c-4b01-9154-a36e01b27b11 · outbound
Local Shearer bound Unresolved cited work
Reference 34
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 630fad6c-71ba-4363-b39f-6cbd7caae490 · outbound
Local Shearer bound Kelly and L
Reference 35
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 4968c3e4-1dea-4ab8-b9d9-9899f07b4235 · outbound
Local Shearer bound Unresolved cited work
Reference 36
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 ed0a0212-e7d6-4ef8-ad7a-e12c8a0ea362 · outbound
Local Shearer bound Kwan and Y
Reference 37
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 65d7e079-6602-4866-a503-43be32d215e5 · outbound
Local Shearer bound Lov´ asz
Reference 38
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 96dea933-a9f5-4343-8cb5-f00c70480172 · outbound
Local Shearer bound Unresolved cited work
Reference 39
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 c6436610-219b-4868-a95a-3a145262329f · outbound
Local Shearer bound Unresolved cited work
Reference 40
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 c94a01d2-615e-48d3-9107-d1af6eaa93f9 · outbound
Local Shearer bound Nikiforov
Reference 41
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 a2acb3e1-b907-4958-8276-35b68d15e433 · outbound
Local Shearer bound Pirot and J
Reference 42
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 769fa100-3fa8-44fe-9bc9-04e2dd513d47 · outbound
Local Shearer bound Unresolved cited work
Reference 43
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 a942d62c-08c7-4d2e-9e51-508efbf436f9 · outbound
Local Shearer bound Unresolved cited work
Reference 44
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 0289a8b1-fcd1-4a2f-ae13-de78c67029ec · outbound
Local Shearer bound Unresolved cited work
Reference 45
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 7f5e0544-6353-44bb-b199-0910115c8a55 · outbound
Local Shearer bound Unresolved cited work
Reference 46
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 56f8c476-82b7-4d39-a404-c00f6888038a · inbound
Triangle-free $d$-degenerate graphs have small fractional chromatic number Local Shearer bound
Reference 24
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.