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Paper Citation Record · LEDGER

Spectral generalized Tur\'{a}n problems

As of 12 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 3 inbound Pith citation observations for arXiv:2507.21689.

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

pith.paper-citation-record.v1
2507.21689 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:47:33.086165Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T15:36:58.393155Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T22:22:43.368548Z

Reference resolution

24 of 24 outbound references displayed

  • verified exact3
  • verified fuzzy14
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ee3dbda4-5408-40c5-8196-e28d511346cf · outbound

This paper cites Many T copies in H -free graphs.

Spectral generalized Tur\'{a}n problems Many T copies in H -free graphs

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.388999Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.022648Z digest=sha256:d9ad84d5b2ccac060cd23af369a851325f5a1b2fa52e929182cfb3cecb2e5439

Observation 9b214bcc-d608-4276-9033-7433f8cc65fc · outbound

This paper cites Brualdi and Ernie S.

Spectral generalized Tur\'{a}n problems Brualdi and Ernie S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.381403Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.025985Z digest=sha256:61a188f7854d93a0031a71666834cb18c65ea4b9e53a1a4ae2eca2668435f1a0

Observation 80e63d1b-c7ae-4908-9a04-2bd730f66407 · outbound

This paper cites Generalized Andr\'{a}sfai--Erd\H{o}s--S\'{o}s theorems for odd cycles.

Spectral generalized Tur\'{a}n problems Generalized Andr\'{a}sfai--Erd\H{o}s--S\'{o}s theorems for odd cycles

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-06T12:47:33.247787Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.028956Z digest=sha256:5ada91534306add71925d6ac079491be391b61fdf130dd36aaa3f14a2ccec9a4

Observation 3eb9912c-44f7-4b0b-8f41-24c8a7d3558d · outbound

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

Spectral generalized Tur\'{a}n problems Nondegenerate Tur\'{a}n problems under $(t,p)$-norms

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T12:47:33.032311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T12:47:33.032311Z digest=sha256:19fd012f218dd33af66a633a9a310cc30d6573672b3581d7a25a22b878313650

Observation 135d5de5-b831-4b0a-b580-cbeb7569ed17 · outbound

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

Spectral generalized Tur\'{a}n problems Strong stability from vertex-extendability and applications in generalized Tur\'{a}n problems

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T12:47:33.035831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T12:47:33.035831Z digest=sha256:698a03e5a6e9ce90bbe3abaee5b348e33990c45ee9f3a85e4486d992148518f7

Observation 19242db5-894c-49a3-b2fd-97e6a8a1fefe · outbound

This paper cites When entropy meets T ur\' a n: new proofs and hypergraph T ur\' a n results.

Spectral generalized Tur\'{a}n problems When entropy meets T ur\' a n: new proofs and hypergraph T ur\' a n results

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-06T12:47:33.220815Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.038913Z digest=sha256:ec9f436e79896658410cafb05e17d3364eea9f29341b5fe466b005d6bbfd0230

Observation 2442e533-e781-4509-b8ca-5a68310f8b71 · outbound

This paper cites an unresolved cited work.

Spectral generalized Tur\'{a}n problems Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:47:33.374091Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.042439Z digest=sha256:c3abc0502e904fa2086cf7cce0113271022bcbe93c8938a5994b72cc5e95d078

Observation 22958c31-ecc2-48eb-8c25-dcd55e2172c3 · outbound

This paper cites On some problems in graph theory, combinatorial analysis and combinatorial number theory.

Spectral generalized Tur\'{a}n problems On some problems in graph theory, combinatorial analysis and combinatorial number theory

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.366893Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.044867Z digest=sha256:5ff8e1c84c609be0474a51821315fa1f56b4da9f105771f5806ebf40bc328468

Observation fff4e45a-6156-4ede-a104-6736f2ed2ed0 · outbound

This paper cites Frankl and V.

Spectral generalized Tur\'{a}n problems Frankl and V

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.359016Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.047745Z digest=sha256:06262687a5f48f9524384cd8426d5e3d911e7e910a2eb653ea4bac3dd4122201

Observation a20151e0-88c7-4762-b0a9-6baac4fb19e6 · outbound

This paper cites On the maximum number of five-cycles in a triangle-free graph.

Spectral generalized Tur\'{a}n problems On the maximum number of five-cycles in a triangle-free graph

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.351521Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.050185Z digest=sha256:4b8fbb6082acb143c5fc7859c280978ea88d66089ab10058c646a16d737f42f7

Observation a28ebc6a-0090-411a-91a3-8083502eca96 · outbound

This paper cites On the number of pentagons in triangle-free graphs.

Spectral generalized Tur\'{a}n problems On the number of pentagons in triangle-free graphs

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.343899Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.052842Z digest=sha256:9d346c38b7aee5689bd5d86cfa40b09097d44cc95f962be7e79a04d56d7b292a

Observation 70d3b4a6-f238-46e8-bd14-08c3c80ffa2e · outbound

This paper cites A criterion for Andr\'{a}sfai--Erd\H{o}s--S\'{o}s type theorems and applications.

Spectral generalized Tur\'{a}n problems A criterion for Andr\'{a}sfai--Erd\H{o}s--S\'{o}s type theorems and applications

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-06T12:47:33.124578Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.055358Z digest=sha256:969f1dfb8622f0bd2427ce0b3a729c9aceab35a11bb967b04a781866263ba09d

Observation 20ce7f1f-0beb-454b-b575-b641a2ddf847 · outbound

This paper cites Spectral extremal problems for hypergraphs.

Spectral generalized Tur\'{a}n problems Spectral extremal problems for hypergraphs

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.336282Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.058256Z digest=sha256:f7c300ed3057e164cae9d397a390d91dbcd1e1dfbd2073f5c417044099259d62

Observation 14d8ff3b-d066-4df2-a271-2117f8d21279 · outbound

This paper cites an unresolved cited work.

Spectral generalized Tur\'{a}n problems Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:47:33.328719Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.060909Z digest=sha256:b49e714be0eb4c3110c0f5259c4f2b9c472b5cc3f86e629dfa3e84298aca881c

Observation ee1b9978-6ea7-4c8f-83af-9afc38ca8810 · outbound

This paper cites On a hypergraph Mantel theorem.

Spectral generalized Tur\'{a}n problems On a hypergraph Mantel theorem

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T12:47:33.063360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T12:47:33.063360Z digest=sha256:f4844724bd25f7ca797aa5395e2157b43fb9b04207bd1eb762e43566594262f0

Observation e75282d7-ed67-401b-b7ef-727d6e4a7fd5 · outbound

This paper cites A unified approach to hypergraph stability.

Spectral generalized Tur\'{a}n problems A unified approach to hypergraph stability

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.320464Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.066030Z digest=sha256:43ae8e60ac4ae61dc696f1c60f6711edf4ab583f4ef224e7892f2d498f09ff52

Observation d9555909-34c7-4fa9-b877-948f6e888841 · outbound

This paper cites Pentagons in triangle-free graphs.

Spectral generalized Tur\'{a}n problems Pentagons in triangle-free graphs

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.312896Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.068536Z digest=sha256:fc8b74276aa95f7a4601ac8385cd88dbf32581973f170622dd53b5092b871e7b

Observation b0746382-fee4-490a-aecf-a08d0be5efe9 · outbound

This paper cites an unresolved cited work.

Spectral generalized Tur\'{a}n problems Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:47:33.304916Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.070897Z digest=sha256:840afef8ed196a26c0696e6e86f9c958adedcc33754eb3217d9a62f57797ac2c

Observation 889e5e1f-bb46-49af-aabd-942e7d78479e · outbound

This paper cites Bounds on graph eigenvalues.

Spectral generalized Tur\'{a}n problems Bounds on graph eigenvalues

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.297059Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.073645Z digest=sha256:be4150ca050003bc4216bf7a08584ee3ea10055c567de6de388ee12f5b6f7098

Observation 2d3047f1-48bb-4e9d-adbc-d0a1a3aeadcb · outbound

This paper cites The spectral radius of graphs without paths and cycles of specified length.

Spectral generalized Tur\'{a}n problems The spectral radius of graphs without paths and cycles of specified length

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.289187Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.076079Z digest=sha256:1ec23a67d958b5be1fb7376ef34b8e73908cb2497fa05c9b6a1ef84db2144e79

Observation ae792e77-c398-4e8b-a251-be51a02b59b1 · outbound

This paper cites Analytic methods for uniform hypergraphs.

Spectral generalized Tur\'{a}n problems Analytic methods for uniform hypergraphs

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.280853Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.078905Z digest=sha256:517bb62e86019c44b9e89e7425fe741a5ddab9062c79a1503bee6770b847db28

Observation 22e11eaf-0fbe-4367-b5ae-dfd944e2cf83 · outbound

This paper cites Razborov.

Spectral generalized Tur\'{a}n problems Razborov

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.272710Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.081364Z digest=sha256:5aa32ac766fd7574304ced8db9671e7b2d021ff35b4fc80dd2875da1d418cf52

Observation 220da910-c9a0-4581-a503-7edbc2573c10 · outbound

This paper cites an unresolved cited work.

Spectral generalized Tur\'{a}n problems Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T12:47:33.264422Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.083794Z digest=sha256:a06b4972d194795ffa0e6afd7f49c58709b04dfc010cf61bc08d0bfc8a9a9a09

Observation 0ea07e15-422f-4322-b0b5-5473d9f35ea9 · outbound

This paper cites On an extermal problem in graph theory.

Spectral generalized Tur\'{a}n problems On an extermal problem in graph theory

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:47:33.256377Z

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.

source=arxiv_source observed=2026-08-06T12:47:33.086165Z digest=sha256:0cd9d7f76cf04f773e7915e1ba65c91376469993cc96811b6ba0ae5be25cedf6

Pith citing papers

Observation de943424-ee0d-4478-b146-4e120dae5f8c · inbound

Generalized spectral Tur\'an problems for disjoint cliques cites this paper.

Generalized spectral Tur\'an problems for disjoint cliques Spectral generalized Tur\'{a}n problems

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:31:30.634936Z

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.

source=pdf_text observed=2026-05-10T06:29:11.024994Z digest=sha256:1547f832325b9ee4f2ad056ff6c0ff014e33711a350db59b9180cf3a5a773aa7

Observation f4250280-ed0c-4f06-b32a-bc71d741fbad · inbound

The spectral inducibility of graphs cites this paper.

The spectral inducibility of graphs Spectral generalized Tur\'{a}n problems

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-06-28T22:22:43.370103Z

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.

source=pdf_text observed=2026-06-28T22:22:19.496529Z digest=sha256:d1416949352b79bfe261087b6e73285833214a2eb1de2f147a92dad06c38cf74

Observation 86ee6f1a-5c19-48fc-9e7f-7e12eafb0d01 · inbound

Entropy methods in combinatorics cites this paper.

Entropy methods in combinatorics Spectral generalized Tur\'{a}n problems

Reference 78

Resolution
unresolved
no resolver link, observed 2026-07-31T15:36:58.393155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T15:36:58.393155Z digest=sha256:49a41af535e8af2be2aba98faf24c1b10f26b569089111c3e2beb5c0e12e6235