Paper Citation Record · LEDGER

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm

As of 11 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 2 inbound Pith citation observations for arXiv:2507.00812.

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

pith.paper-citation-record.v1
2507.00812 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:15:09.568320Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T14:17:51.437175Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T23:26:23.327107Z

Reference resolution

34 of 34 outbound references displayed

verified exact0
verified fuzzy13
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b81b3226-5e1e-4f12-894d-a0af00c0e6f3 · outbound

This paper cites Hypergraph T ur\' a n problems in _2 -norm.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Hypergraph T ur\' a n problems in _2 -norm

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:08.465574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 749903ad-2676-428e-9330-443d65eeeee9 · outbound

This paper cites Solving T ur\'an's tetrahedron problem for the _2 -norm.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Solving T ur\'an's tetrahedron problem for the _2 -norm

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:08.505794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07da101c-6f15-450f-8a53-a873206373a0 · outbound

This paper cites Maximum density of induced 5 -cycle is achieved by an iterated blow-up of 5 -cycle.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Maximum density of induced 5 -cycle is achieved by an iterated blow-up of 5 -cycle

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.464745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 09ed0be6-b5a9-4de3-9f49-6674c2ee03b8 · outbound

This paper cites T ur \' a n density of long tight cycle minus one hyperedge.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm T ur \' a n density of long tight cycle minus one hyperedge

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.326852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bef62d39-36d2-4fb5-a0f5-2ef8a4034477 · outbound

This paper cites The Tur\'an density of the tight 5-cycle minus one edge.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm The Tur\'an density of the tight 5-cycle minus one edge

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:08.577415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fd6ddee-262d-4e15-8359-37a201609f8e · outbound

This paper cites Degree powers in graphs: the E rd o s- S tone theorem.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Degree powers in graphs: the E rd o s- S tone theorem

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:08.618416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b0cb148-490a-4f37-85ce-3c6357702619 · outbound

This paper cites Hypergraphs do jump.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Hypergraphs do jump

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.257004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c1dea16d-459a-4f3d-970f-46399f1240be · outbound

This paper cites Nondegenerate Tur\'{a}n problems under $(t,p)$-norms.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Nondegenerate Tur\'{a}n problems under $(t,p)$-norms

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:08.661876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a896886-25ac-412a-8293-95ec9699dd83 · outbound

This paper cites Strong stability from vertex-extendability and applications in generalized Tur\'{a}n problems.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Strong stability from vertex-extendability and applications in generalized Tur\'{a}n problems

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:08.697616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 522b58ff-fbdd-4254-8211-15a6014c86c4 · outbound

This paper cites A T ur\'an type problem concerning the powers of the degrees of a graph.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm A T ur\'an type problem concerning the powers of the degrees of a graph

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:08.729212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73a83aba-c68a-4396-a23f-9ab1e351097d · outbound

This paper cites A Tur\'{a}n Type Problem Concerning the Powers of the Degrees of a Graph (revised).

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm A Tur\'{a}n Type Problem Concerning the Powers of the Degrees of a Graph (revised)

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:08.765543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8864c4e-0fc4-4d5f-984f-eee2109be11d · outbound

This paper cites de Carli Silva, Fernando M \' a rio de Oliveira Filho, and Cristiane Maria Sato.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm de Carli Silva, Fernando M \' a rio de Oliveira Filho, and Cristiane Maria Sato

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:11.171972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 68d43372-15cc-4426-9018-87ea02c776e2 · outbound

This paper cites an unresolved cited work.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:15:11.086912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 660fb0e9-08f3-42e4-a6d5-131bf6fe3221 · outbound

This paper cites an unresolved cited work.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:15:11.020813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ad15ad3a-3d29-46c9-886f-0287b51e1e2f · outbound

This paper cites Erd o s and A.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Erd o s and A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:08.912984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 044437ea-9852-4bc4-aa1c-70174ed26aac · outbound

This paper cites Erd o s and M.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Erd o s and M

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:08.944727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8915ca4f-e1e6-405d-8bb9-343ffa407629 · outbound

This paper cites The T ur \'a n density of the hypergraph \ abc, ade, bde, cde\.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm The T ur \'a n density of the hypergraph \ abc, ade, bde, cde\

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.872685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 28cc9fa9-2fb5-4183-91f2-7f696ca2f9ed · outbound

This paper cites On triple systems with independent neighbourhoods.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm On triple systems with independent neighbourhoods

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.777587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 387059d2-6772-4b41-b49a-d04395e1cd27 · outbound

This paper cites On the local structure of oriented graphs---a case study in flag algebras.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm On the local structure of oriented graphs---a case study in flag algebras

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.677704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9155524f-7df2-4b6f-8f30-02fbd47f9809 · outbound

This paper cites Phase transition of degenerate Tur\'{a}n problems in $p$-norms.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Phase transition of degenerate Tur\'{a}n problems in $p$-norms

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:09.058354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 900b2e8e-0baa-413e-b727-8765ec0c77a4 · outbound

This paper cites an unresolved cited work.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:15:10.617091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5002ed88-7e9b-47c7-8682-33c2513c727d · outbound

This paper cites Hypergraph T ur\'an problems.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Hypergraph T ur\'an problems

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:09.147674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f02a416b-6cf4-4415-9b9a-664d4f4ecca2 · outbound

This paper cites The T ur \'a n density of tight cycles in three-uniform hypergraphs.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm The T ur \'a n density of tight cycles in three-uniform hypergraphs

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.507575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 090c8e46-0c64-4bdd-b51a-33e2d883d4ec · outbound

This paper cites On a problem of T ur\' a n in the theory of graphs.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm On a problem of T ur\' a n in the theory of graphs

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:09.226517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d64e3331-f85c-49db-9ffa-554718b766bb · outbound

This paper cites The Hypergraph Tur\'{a}n Densities of Tight Cycles Minus an Edge.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm The Hypergraph Tur\'{a}n Densities of Tight Cycles Minus an Edge

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:09.264813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94b7066f-a8bc-4f78-a65d-3690acb41553 · outbound

This paper cites A unified approach to hypergraph stability.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm A unified approach to hypergraph stability

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:09.306536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93856d09-f19b-42c2-afa3-f41f2917e5b7 · outbound

This paper cites Hypergraph T ur \'a n problem: some open questions.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Hypergraph T ur \'a n problem: some open questions

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.394915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 94a0fcaf-8b7c-461a-9b8b-f1716cb6b868 · outbound

This paper cites On the T ur\'an number of triple systems.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm On the T ur\'an number of triple systems

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.323240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cfef326b-c85f-4d61-849b-240944aa1d29 · outbound

This paper cites Razborov.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Razborov

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:09.407591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6bf4b97-dde3-456f-ae0a-0b5d78921011 · outbound

This paper cites Razborov.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Razborov

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.234748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation dba8e55d-7f91-46b7-8b60-f9dea93b307a · outbound

This paper cites R \" o dl, B.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm R \" o dl, B

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.112356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation da659ee5-3d9a-411c-8b5a-92c303411335 · outbound

This paper cites Regularity lemma for k -uniform hypergraphs.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Regularity lemma for k -uniform hypergraphs

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:15:10.028519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 003ce141-ca2a-427b-af09-55ac9bde0bd7 · outbound

This paper cites Simonovits.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Simonovits

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:09.539116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 130c58c8-54a7-4b3a-9b4f-acc728ff61c2 · outbound

This paper cites Eine E xtremalaufgabe aus der G raphentheorie.

Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm Eine E xtremalaufgabe aus der G raphentheorie

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:09.568320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 67b3e73a-5b4b-4e2c-8a3f-1ff45d12006f · inbound

A note on the $t$-partite link problem of F\"uredi cites this paper.

A note on the $t$-partite link problem of F\"uredi Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm

Reference 68

Resolution: verified exact; arxiv_id, observed 2026-05-13T01:22:02.237484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b28c0231-a8c1-411d-95fb-1a3e55582dc0 · inbound

On cliques in hypergraphs under bounded $(j,p)$-norm cites this paper.

On cliques in hypergraphs under bounded $(j,p)$-norm Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-01T23:26:23.329430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.