Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-13T18:23:27.055565Z
Paper Citation Record · LEDGER
Range of random $\mathbb Z$-homomorphisms on weak expanders
As of 6 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2604.03119.
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 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-30T02:12:40.384340Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-06-30T02:14:11.176945Z
Reference resolution
35 of 35 outbound references displayed
- verified exact5
- verified fuzzy16
- unresolved13
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a16b0ebf-5b2c-44cd-b7cf-9df7e32f7628 · outbound
This paper cites Alon and F.
Range of random $\mathbb Z$-homomorphisms on weak expanders Alon and F
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.900838Z
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.
Observation c934ce39-473c-4dcd-901e-585f270fac8d · outbound
This paper cites Maximal independent sets in the middle two layers of the Boolean lattice.
Range of random $\mathbb Z$-homomorphisms on weak expanders Maximal independent sets in the middle two layers of the Boolean lattice
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T18:28:06.758024Z
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.
Observation 04ff02ef-5797-48b2-89bf-f4d1e371a1ab · outbound
This paper cites Balogh, R.
Range of random $\mathbb Z$-homomorphisms on weak expanders Balogh, R
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.928440Z
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.
Observation 796a3a4a-f1ce-4340-ac6b-b12530dc4c49 · outbound
This paper cites Benjamini, O.
Range of random $\mathbb Z$-homomorphisms on weak expanders Benjamini, O
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.924085Z
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.
Observation 5eae5d0a-7b0c-4c31-bb91-bb851ac5b4cf · outbound
This paper cites Benjamini and Y.
Range of random $\mathbb Z$-homomorphisms on weak expanders Benjamini and Y
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.896871Z
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.
Observation bcbb019f-cfa9-4d28-b72e-c680eabfd768 · outbound
This paper cites Benjamini, A.
Range of random $\mathbb Z$-homomorphisms on weak expanders Benjamini, A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.916394Z
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.
Observation 41b80f8f-354f-4d62-9c2e-00d158174b50 · outbound
This paper cites Duffus, P.
Range of random $\mathbb Z$-homomorphisms on weak expanders Duffus, P
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.908720Z
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.
Observation 7cc474cb-f3dc-43c3-ba6d-466c1569d1fd · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.936712Z
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.
Observation 22bd9070-bfde-4349-a028-a9ac849e1b47 · outbound
This paper cites Independent sets in the discrete hypercube.
Range of random $\mathbb Z$-homomorphisms on weak expanders Independent sets in the discrete hypercube
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T18:28:06.754915Z
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.
Observation b12b15ab-024c-4ca5-8d82-3ab3a982e246 · outbound
This paper cites Hoory, N.
Range of random $\mathbb Z$-homomorphisms on weak expanders Hoory, N
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.904583Z
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.
Observation cc0903c8-26d3-4df2-9dc6-7ea0e37971ca · outbound
This paper cites Ilinca and J.
Range of random $\mathbb Z$-homomorphisms on weak expanders Ilinca and J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.920283Z
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.
Observation d55e748b-0be7-4e0f-b217-644e7634dad9 · outbound
This paper cites Jenssen and P.
Range of random $\mathbb Z$-homomorphisms on weak expanders Jenssen and P
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.932560Z
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.
Observation 37316663-3a4c-4a54-aeda-6d617cc87f8e · outbound
This paper cites On Dedekind's problem, a sparse version of Sperner's theorem, and antichains of a given size in the Boolean lattice.
Range of random $\mathbb Z$-homomorphisms on weak expanders On Dedekind's problem, a sparse version of Sperner's theorem, and antichains of a given size in the Boolean lattice
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T18:28:06.761414Z
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.
Observation 32926536-8159-4037-a77c-95720b92ab03 · outbound
This paper cites Jenssen and W.
Range of random $\mathbb Z$-homomorphisms on weak expanders Jenssen and W
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.940783Z
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.
Observation 5d8840c8-41ff-442b-bb21-8b680c0273e1 · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.912594Z
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.
Observation 6c460976-6c3f-454c-b854-51a649f271b5 · outbound
This paper cites Kahn and J.
Range of random $\mathbb Z$-homomorphisms on weak expanders Kahn and J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.853673Z
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.
Observation 01df17b6-8a8f-4906-99f3-66c1484a0ff2 · outbound
This paper cites Kahn and J.
Range of random $\mathbb Z$-homomorphisms on weak expanders Kahn and J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.849950Z
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.
Observation a12878c3-dde6-4b16-8a1a-09f2f7939453 · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.830246Z
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.
Observation 46734b7f-dd34-4b5a-a143-eb3a62b5bcf6 · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.825800Z
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.
Observation 7b12879f-fd96-422f-994d-63ae631cb7b7 · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.834135Z
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.
Observation 6e447c4a-de33-4180-a3f7-5d888965ca96 · outbound
This paper cites Lipschitz functions on weak expanders.
Range of random $\mathbb Z$-homomorphisms on weak expanders Lipschitz functions on weak expanders
Reference 21
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T18:28:06.767625Z
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.
Observation b876d817-65a0-41b1-93a9-23d057efafc8 · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.857131Z
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.
Observation 7f0843b8-03fc-4e33-b47f-a704df8896e8 · outbound
This paper cites The number of colorings of the middle layers of the Hamming cube.
Range of random $\mathbb Z$-homomorphisms on weak expanders The number of colorings of the middle layers of the Hamming cube
Reference 23
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T18:28:06.764518Z
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.
Observation 40d1fc07-a06b-4557-b547-562fff70a7ae · outbound
This paper cites Lov ´asz.
Range of random $\mathbb Z$-homomorphisms on weak expanders Lov ´asz
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.860655Z
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.
Observation cccd2fc2-c6e5-46b3-b153-a1ed605440dd · outbound
This paper cites Lov ´asz.Combinatorial problems and exercises, volume 361.
Range of random $\mathbb Z$-homomorphisms on weak expanders Lov ´asz.Combinatorial problems and exercises, volume 361
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.872855Z
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.
Observation a898c7e3-5190-432b-8ee8-4aeaba21be0d · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.876847Z
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.
Observation 81fdf8bc-192d-4bcc-a1e2-5510ec6a0bc7 · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.864603Z
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.
Observation 5becd5c9-1d9f-4278-8cec-74bc174fc623 · outbound
This paper cites Peled, W.
Range of random $\mathbb Z$-homomorphisms on weak expanders Peled, W
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.880788Z
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.
Observation 4100df18-f2c3-4550-bc6a-86ff326506a5 · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.884494Z
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.
Observation 0506eb7d-cabc-4792-9eb5-3a46f5947ef7 · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.888408Z
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.
Observation fba70b2b-82b9-4c28-8c64-49e717d84d73 · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.893132Z
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.
Observation c015bfc8-0cbf-4254-b673-f29000188cc3 · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.868385Z
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.
Observation df63e5b2-2ac1-484d-a87b-397a92edc826 · outbound
This paper cites an unresolved cited work.
Range of random $\mathbb Z$-homomorphisms on weak expanders Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T04:16:36.842022Z
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.
Observation 76104026-f039-48b7-8059-8b0c93e6ce03 · outbound
This paper cites analogous.
Range of random $\mathbb Z$-homomorphisms on weak expanders analogous
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T04:16:36.837963Z
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.
Observation ae56edcb-fec0-4141-b942-dfde0e6d55b1 · outbound
This paper cites analogous.
Range of random $\mathbb Z$-homomorphisms on weak expanders analogous
Reference 35
- Resolution
- malformed identifier
- raw_fallback, observed 2026-05-14T04:16:36.846504Z
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.
Pith citing papers
Observation 1ba5aa2d-0136-40f8-8407-3197db3f7bc4 · inbound
Random homomorphisms and Lipschitz functions on trees cites this paper.
Random homomorphisms and Lipschitz functions on trees Range of random $\mathbb Z$-homomorphisms on weak expanders
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-06-30T02:14:11.179000Z
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.