Paper Citation Record · LEDGER

Lagrangians are attained as uniform Tur\'an densities

As of 24 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2412.07297.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.07297 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:09:39.987712Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:47:31.897020Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-19T03:37:37.729187Z

Reference resolution

26 of 26 outbound references displayed

verified exact11
verified fuzzy7
unresolved6
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d70e431e-4ea5-41fa-bac1-82e7aceb4838 · outbound

This paper cites Avart, V.

Lagrangians are attained as uniform Tur\'an densities Avart, V

Reference 1

Resolution: verified exact; doi, observed 2026-08-11T19:09:40.112157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9ee4da2b-3539-4abe-a820-3b27cfc9e152 · outbound

This paper cites Baber and J.

Lagrangians are attained as uniform Tur\'an densities Baber and J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:09:40.330171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 707cc68f-1cad-48d2-94f7-9db699a310e2 · outbound

This paper cites Bellmann and Chr.

Lagrangians are attained as uniform Tur\'an densities Bellmann and Chr

Reference 3

Resolution: verified exact; doi, observed 2026-08-11T19:09:40.104366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b3595fa3-6868-444c-9d62-8183f3d99f19 · outbound

This paper cites an unresolved cited work.

Lagrangians are attained as uniform Tur\'an densities Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:09:40.323434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5a78ab76-0e18-4861-aebc-e63035205c32 · outbound

This paper cites De Caen and Z.

Lagrangians are attained as uniform Tur\'an densities De Caen and Z

Reference 5

Resolution: verified exact; raw_fallback, observed 2026-08-11T19:09:40.265286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2b843201-399b-49a2-b00d-b1e77c43ab7b · outbound

This paper cites Erdös,On extremal problems of graphs and generalized graphs, Israel Journal of Mathematics2 (1964), no.

Lagrangians are attained as uniform Tur\'an densities Erdös,On extremal problems of graphs and generalized graphs, Israel Journal of Mathematics2 (1964), no

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:09:40.316625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation afd46ca6-b61b-4718-9434-894232178772 · outbound

This paper cites Erdős,Problems and results on graphs and hypergraphs: similarities and differences, Mathematics of Ramsey theory, Algorithms Combin., vol.

Lagrangians are attained as uniform Tur\'an densities Erdős,Problems and results on graphs and hypergraphs: similarities and differences, Mathematics of Ramsey theory, Algorithms Combin., vol

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-11T19:09:39.934890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e31afe0-15e5-4611-bde7-d84f9cbec828 · outbound

This paper cites Erdős and M.

Lagrangians are attained as uniform Tur\'an densities Erdős and M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:09:40.309333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a8b0d0a5-eba1-4247-acaf-fa235215ef28 · outbound

This paper cites Erdős and V.

Lagrangians are attained as uniform Tur\'an densities Erdős and V

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T19:09:39.939641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 641bee71-c712-43fb-8633-2d447366991a · outbound

This paper cites Erdős and A.

Lagrangians are attained as uniform Tur\'an densities Erdős and A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T19:09:39.942169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93538a6b-f2fe-442e-a835-b46ec03c443c · outbound

This paper cites Frankl and V.

Lagrangians are attained as uniform Tur\'an densities Frankl and V

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:09:40.300813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 67d22f6a-5011-4a20-bae8-fcc4a925ecd7 · outbound

This paper cites Frankl, Y.

Lagrangians are attained as uniform Tur\'an densities Frankl, Y

Reference 12

Resolution: verified exact; doi, observed 2026-08-11T19:09:40.085267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d781bbef-101b-4006-a41b-47eadf7c483c · outbound

This paper cites Füredi and M.

Lagrangians are attained as uniform Tur\'an densities Füredi and M

Reference 13

Resolution: verified exact; doi, observed 2026-08-11T19:09:40.077976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 21010e5d-fdc7-41ce-bc3f-9d514b60091c · outbound

This paper cites Glebov, D.

Lagrangians are attained as uniform Tur\'an densities Glebov, D

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T19:09:39.952900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea0d9b99-fef0-402b-8c02-a0a7b0b80fa5 · outbound

This paper cites Katona, T.

Lagrangians are attained as uniform Tur\'an densities Katona, T

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:09:40.291936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 351262a9-aabd-4d5c-b0e4-b285b785f235 · outbound

This paper cites Keevash,Hypergraph Turán problems, Surveys in combinatorics 2011, London Math.

Lagrangians are attained as uniform Tur\'an densities Keevash,Hypergraph Turán problems, Surveys in combinatorics 2011, London Math

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:09:40.282283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation af0d03f0-d2e1-4f09-8405-e3bb0f95ed51 · outbound

This paper cites Keevash and B.

Lagrangians are attained as uniform Tur\'an densities Keevash and B

Reference 17

Resolution: verified exact; doi, observed 2026-08-11T19:09:40.063875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f4d5c334-5922-41b8-a37b-a967029274fc · outbound

This paper cites Palettes determine uniform Tur\'an density.

Lagrangians are attained as uniform Tur\'an densities Palettes determine uniform Tur\'an density

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T19:09:39.963219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7391cebb-f58a-4034-b858-d1fdccde6d5c · outbound

This paper cites an unresolved cited work.

Lagrangians are attained as uniform Tur\'an densities Unresolved cited work

Reference 19

Resolution: verified exact; doi, observed 2026-08-11T19:09:40.049516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 79ccb80b-ed72-4fd0-af14-3b13cd932c0b · outbound

This paper cites Peng,Using Lagrangians of Hypergraphs to Find Non-Jumping Numbers (I), Annals of Combina- torics - ANN COMB12 (2008), 307-324, DOI 10.1007/s00026-008-0353-2 .Ò 1.

Lagrangians are attained as uniform Tur\'an densities Peng,Using Lagrangians of Hypergraphs to Find Non-Jumping Numbers (I), Annals of Combina- torics - ANN COMB12 (2008), 307-324, DOI 10.1007/s00026-008-0353-2 .Ò 1

Reference 20

Resolution: verified exact; doi, observed 2026-08-11T19:09:40.040978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7043d7a0-32c5-4fbb-98d4-f563158af783 · outbound

This paper cites 14, 1754-1766, DOI https://doi.org/10.1016/j.disc.2006.09.024 .Ò 1.

Lagrangians are attained as uniform Tur\'an densities 14, 1754-1766, DOI https://doi.org/10.1016/j.disc.2006.09.024 .Ò 1

Reference 21

Resolution: verified exact; doi, observed 2026-08-11T19:09:40.032893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 26948fa1-4ad7-4ff8-abd2-6e756faba76e · outbound

This paper cites Non-jumping Tur\'an densities of hypergraphs.

Lagrangians are attained as uniform Tur\'an densities Non-jumping Tur\'an densities of hypergraphs

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:09:40.025420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ed2dc153-0338-4164-949d-d956c999f5ef · outbound

This paper cites Pikhurko, On Possible Turan Densities , Israel Journal of Mathematics 201 (2012), DOI 10.1007/s11856-014-0031-5 .Ò 1 , 5 , 6.

Lagrangians are attained as uniform Tur\'an densities Pikhurko, On Possible Turan Densities , Israel Journal of Mathematics 201 (2012), DOI 10.1007/s11856-014-0031-5 .Ò 1 , 5 , 6

Reference 23

Resolution: verified exact; doi, observed 2026-08-11T19:09:40.015654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 97d62099-e0fa-4cad-b2b7-07fd40ac4d42 · outbound

This paper cites Reiher,Extremal problems in uniformly dense hypergraphs, European J.

Lagrangians are attained as uniform Tur\'an densities Reiher,Extremal problems in uniformly dense hypergraphs, European J

Reference 24

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T19:09:40.183214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation efaf3d86-89d3-4901-9c48-e22613599c6f · outbound

This paper cites Reiher, V.

Lagrangians are attained as uniform Tur\'an densities Reiher, V

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T19:09:39.985076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e0bc72c-5b3e-4bac-8e80-4ccb283eed72 · outbound

This paper cites Turán, Eine Extremalaufgabe aus der Graphentheorie, Mat.

Lagrangians are attained as uniform Tur\'an densities Turán, Eine Extremalaufgabe aus der Graphentheorie, Mat

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:09:40.273556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 6f9416df-9d70-487e-8718-364516a764ac · inbound

Uniform Tur\'an densities of $k$-uniform hypergraphs cites this paper.

Uniform Tur\'an densities of $k$-uniform hypergraphs Lagrangians are attained as uniform Tur\'an densities

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-15T03:24:55.857140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cb7a91ba-26a2-4a9a-b677-33d408516017 · inbound

Intervals of uniform Tur\'an densities cites this paper.

Intervals of uniform Tur\'an densities Lagrangians are attained as uniform Tur\'an densities

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T16:47:31.897020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.