Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T00:42:02.369772Z
Paper Citation Record · LEDGER
A congruence obstruction to Roman's bound for Zarankiewicz numbers
As of 15 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2608.07607.
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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
26 of 26 outbound references displayed
- verified exact4
- verified fuzzy17
- unresolved4
- parse uncertain1
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3f6c5c01-0e2f-4dad-b421-994aa343fd9a · outbound
This paper cites New bounds for Zarankiewicz numbers via reinforced LLM evolutionary search, 2026.
A congruence obstruction to Roman's bound for Zarankiewicz numbers New bounds for Zarankiewicz numbers via reinforced LLM evolutionary search, 2026
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.869449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7b4b7559-aa27-4fd4-bfc2-b2c4a7443da2 · outbound
This paper cites Exact values for unbalanced Zarankiewicz numbers.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Exact values for unbalanced Zarankiewicz numbers
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T00:42:02.577354Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 60e6eebd-4043-4a1a-8ce2-e5018d0347b5 · outbound
This paper cites Zarankiewicz numbers near the triple system threshold.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Zarankiewicz numbers near the triple system threshold
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T00:42:02.557580Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 69436837-f7d2-4c2c-a3e1-46101373edab · outbound
This paper cites Discrete Mathematics and its Applications.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Discrete Mathematics and its Applications
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.855499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8ace5d29-0ed1-42f9-a93d-73cb96d6dc76 · outbound
This paper cites Collins, Alexander W.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Collins, Alexander W
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.840729Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3d39b00c-7fd8-4eb7-bffc-edf5146a3654 · outbound
This paper cites Some remarks on the Zarankiewicz problem.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Some remarks on the Zarankiewicz problem
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T00:42:02.536396Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fe69888f-a2e2-4b41-ae95-9a6a91f5d069 · outbound
This paper cites Teilweise Lösung eines verallgemeinerten Problems von K.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Teilweise Lösung eines verallgemeinerten Problems von K
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.826532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3973ba5f-a57f-42dd-9957-d8c7b84ed917 · outbound
This paper cites The Zarankiewicz problem, cages, and geometries.Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae, Sectio Mathematica, 56(1):3–37, 2013.
A congruence obstruction to Roman's bound for Zarankiewicz numbers The Zarankiewicz problem, cages, and geometries.Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae, Sectio Mathematica, 56(1):3–37, 2013
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.812820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b804ccd5-ff7d-4176-b1d4-54c5d8f898f2 · outbound
This paper cites Improved upper bounds on Zarankiewicz numbers.Discrete Math- ematics, 349(5):114924, 2026.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Improved upper bounds on Zarankiewicz numbers.Discrete Math- ematics, 349(5):114924, 2026
Reference 9
- Resolution
- verified exact
- raw_fallback, observed 2026-08-11T00:42:02.514889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation febdbfd5-c1d5-4eee-812d-cee8953ca34d · outbound
This paper cites An upper bound on Zarankiewicz’ prob- lem.Combinatorics, Probability and Computing, 5(1):29– 33, 1996.
A congruence obstruction to Roman's bound for Zarankiewicz numbers An upper bound on Zarankiewicz’ prob- lem.Combinatorics, Probability and Computing, 5(1):29– 33, 1996
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.799274Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 757f74f8-152e-4367-833e-93704c21ecc4 · outbound
This paper cites The existence of designs via iterative absorption: hypergraph $F$-designs for arbitrary $F$.
A congruence obstruction to Roman's bound for Zarankiewicz numbers The existence of designs via iterative absorption: hypergraph $F$-designs for arbitrary $F$
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:42:02.303507Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de57e55e-2aa3-4cef-b8d5-da599d6a2b25 · outbound
This paper cites Henning, and Or- trud R.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Henning, and Or- trud R
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.785114Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 677b6e91-8777-4252-b981-0299d5d69218 · outbound
This paper cites an unresolved cited work.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T00:42:02.771533Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bf9c2897-6a31-4b51-b3a6-e4aaf6745630 · outbound
This paper cites On quadruple systems.Canadian Journal of Mathematics, 12:145–157, 1960.
A congruence obstruction to Roman's bound for Zarankiewicz numbers On quadruple systems.Canadian Journal of Mathematics, 12:145–157, 1960
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.743143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0a5c94c8-b0ae-46d1-817e-4e2866ce1ae9 · outbound
This paper cites A class of three-designs.Journal of Combinatorial Theory, Series A, 26(1):1–19, 1979.
A congruence obstruction to Roman's bound for Zarankiewicz numbers A class of three-designs.Journal of Combinatorial Theory, Series A, 26(1):1–19, 1979
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.727756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b5c641ad-560e-4e48-a3a7-587d93127703 · outbound
This paper cites On a combinatorical problem.
A congruence obstruction to Roman's bound for Zarankiewicz numbers On a combinatorical problem
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.711571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 30715fae-e6fc-49de-a6cc-a4478a2d842b · outbound
This paper cites an unresolved cited work.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T00:42:02.696363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 924af2a9-8f00-48fa-bc06-81bacd51c771 · outbound
This paper cites A short proof of the existence of designs.
A congruence obstruction to Roman's bound for Zarankiewicz numbers A short proof of the existence of designs
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:42:02.336658Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0c6f7ce-28ca-4a77-a8c9-d18199fef621 · outbound
This paper cites Sós, and Pál Turán.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Sós, and Pál Turán
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.680909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a4805af2-e5b2-47d1-a14e-d05efae56315 · outbound
This paper cites A new result on the problem of Zarankiewicz.Journal of Combinatorial Theory, Series A, 31(2):126–130, 1981.
A congruence obstruction to Roman's bound for Zarankiewicz numbers A new result on the problem of Zarankiewicz.Journal of Combinatorial Theory, Series A, 31(2):126–130, 1981
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.665311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 05b1e094-a724-4141-8e79-e9ebbb0e9a23 · outbound
This paper cites A contribution to the Zarankiewicz problem.Linear Algebra and its Applications, 432(6):1405–1411, 2010.
A congruence obstruction to Roman's bound for Zarankiewicz numbers A contribution to the Zarankiewicz problem.Linear Algebra and its Applications, 432(6):1405–1411, 2010
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.650234Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c2c2ca1f-23f9-4dd9-a2f3-6bfe64345896 · outbound
This paper cites Über ein Problem von K.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Über ein Problem von K
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.635286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 19745945-4ba7-41a3-bf8e-a34efb5ff2e5 · outbound
This paper cites A problem of Zarankiewicz.Journal of Combinatorial Theory, Series A, 18(2):187–198, 1975.
A congruence obstruction to Roman's bound for Zarankiewicz numbers A problem of Zarankiewicz.Journal of Combinatorial Theory, Series A, 18(2):187–198, 1975
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.621136Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 98e58168-c266-4959-a656-229a8573bb64 · outbound
This paper cites An attack on Zarankiewicz’s problem through SAT solving, 2022.
A congruence obstruction to Roman's bound for Zarankiewicz numbers An attack on Zarankiewicz’s problem through SAT solving, 2022
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.606435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 05e5d10f-c8e1-41ff-8879-2f931410d5be · outbound
This paper cites Problem p 101.Colloquium Mathematicum, 2:301, 1951.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Problem p 101.Colloquium Mathematicum, 2:301, 1951
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:42:02.591161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c4eced90-645d-4269-a0f9-9f17bea0264e · outbound
This paper cites an unresolved cited work.
A congruence obstruction to Roman's bound for Zarankiewicz numbers Unresolved cited work
Reference 148
- Resolution
- parse uncertain
- raw_fallback, observed 2026-08-11T00:42:02.757051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.