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Paper Citation Record · LEDGER

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2507.12354.

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

pith.paper-citation-record.v1
2507.12354 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:59:14.115299Z

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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T14:06:01.673851Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T23:36:23.809899Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5fe3efcb-6a2c-4877-a46e-f4d52a991310 · outbound

This paper cites Andr\' a sfai, P.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Andr\' a sfai, P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:19.178776Z

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=2026-08-06T16:59:10.517697Z digest=sha256:d13fcd0799263d0f9db10585a32c3a89327f41555fc0d819dba51a1b5a999b4f

Observation 76dccd13-22b1-456c-a394-8d53ac635fc3 · outbound

This paper cites Ahlswede and G.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Ahlswede and G

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:18.737576Z

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=2026-08-06T16:59:10.646511Z digest=sha256:181b597f80377c141276b0b5a8e0739c57e6c7cadbdf3b226be5c3ecb425b3f2

Observation a9ab2efc-5ba1-4a81-87de-098e714c518f · outbound

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

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Hypergraph T ur\' a n problems in _2 -norm

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:18.318302Z

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=2026-08-06T16:59:10.834080Z digest=sha256:76477032761f71b4a2d6df1bd6548f3c38e7f972559922f91804d356063cbc4f

Observation fd92c295-3c22-4660-aeda-089d7d61ee51 · outbound

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

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Solving T ur\'an's tetrahedron problem for the _2 -norm

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:17.908289Z

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=2026-08-06T16:59:10.988913Z digest=sha256:1bf31d1be5b2208bdc534871eb806045183101eb82132add6f6b80bae47b6ea5

Observation 881fe16f-bc60-48f0-93af-3fa7eee8a1a4 · outbound

This paper cites Some exact and asymptotic results for hypergraph Tur\'an problems in $\ell_2$-norm.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Some exact and asymptotic results for hypergraph Tur\'an problems in $\ell_2$-norm

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T16:59:11.244089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:59:11.244089Z digest=sha256:68e3afbd4fb006cd7fddff9d8688ca0ea4406e2afe096012a55813acc4432826

Observation b7341e3a-d096-4da2-811c-d7658b4a5e35 · outbound

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

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Degree powers in graphs: the E rd o s- S tone theorem

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:17.471900Z

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=2026-08-06T16:59:11.428347Z digest=sha256:57fd5b290f00ea46bdf7ce48da0c926d28dac107ded000ec44e3a7c647e7c2a9

Observation d38ede64-7c27-4cbd-a9a5-7e45e4034085 · outbound

This paper cites Tur\'an's theorem for the F ano plane.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Tur\'an's theorem for the F ano plane

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:17.145621Z

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=2026-08-06T16:59:11.604295Z digest=sha256:3e015baa114dbc686b1a05d670f138aaa946310e4e382d35ca100804cc2942f8

Observation 22c4338c-d47c-4826-b6ef-fa543a7d8e16 · outbound

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

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Generalized Andr\'{a}sfai--Erd\H{o}s--S\'{o}s theorems for odd cycles

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T16:59:11.734258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:59:11.734258Z digest=sha256:b7907b07bf0e0ad19beba5ce9e2844abc72afdcb6b8eedafd9760ed7455e97f2

Observation 2867f625-5248-4c88-8495-cc3f86b1e362 · outbound

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

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Nondegenerate Tur\'{a}n problems under $(t,p)$-norms

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-06T16:59:11.888438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:59:11.888438Z digest=sha256:0ad44700e9b8b27bc26aeaa23112cf8a1b1eb1565b260504425d4df194f98438

Observation ca303ace-da14-449d-ba39-7613e90b8b3e · outbound

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

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Strong stability from vertex-extendability and applications in generalized Tur\'{a}n problems

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T16:59:12.039886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:59:12.039886Z digest=sha256:5c31df551343a0953864001af638292d5e9b2c43f3504c3430fcb29d55980757

Observation e83c910b-533b-4441-a03d-14e1a94801e7 · outbound

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

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm A T ur\'an type problem concerning the powers of the degrees of a graph

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:17.007868Z

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=2026-08-06T16:59:12.216011Z digest=sha256:cf0d248b9cf0b2ce96671976583affc26e2650c7ef95265a781b6a01757ba1c7

Observation a850af81-f83a-4427-80ea-b76722178b52 · outbound

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

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm A Tur\'{a}n Type Problem Concerning the Powers of the Degrees of a Graph (revised)

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T16:59:12.389509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:59:12.389509Z digest=sha256:3bd4f8a02cfe19cb610a311602c01af4d42ecf34e89d14beeef2902e3a1f6672

Observation be4e0e45-a60f-401b-89dd-9e0288b94ce0 · outbound

This paper cites The maximum size of 3-uniform hypergraphs not containing a F ano plane.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm The maximum size of 3-uniform hypergraphs not containing a F ano plane

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:16.750897Z

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=2026-08-06T16:59:12.515581Z digest=sha256:d8f3902fe28d15d68e503e049aee6406ebcaa68f695afb95085dac2e2549d362

Observation b07c7e3c-e323-4a7e-8355-f9b5f56e14a0 · outbound

This paper cites Erd o s and A.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Erd o s and A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:16.497908Z

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=2026-08-06T16:59:12.699437Z digest=sha256:2066fa43ada313e1987873778c5d863c0b3e57a730b7375d5b3fb83e2437d49e

Observation 94cb043a-4802-41f9-8cab-f3a0e8053b6f · outbound

This paper cites Erd o s and M.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Erd o s and M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:16.227524Z

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=2026-08-06T16:59:12.845275Z digest=sha256:6a12b53582a5a65eaf3f2d4bf0b49c19319037e58fb095839b2d2d716bfd0965

Observation 905361e8-31be-452c-af24-71d0157e1ed1 · outbound

This paper cites Triple systems not containing a F ano configuration.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Triple systems not containing a F ano configuration

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:16.002324Z

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=2026-08-06T16:59:13.026408Z digest=sha256:c78ec65c270026495a07859d71bef987dd0143da5595bd1b278b374006494bcf

Observation 2c22975c-f216-4863-97e5-03301919c20e · outbound

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

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Phase transition of degenerate Tur\'{a}n problems in $p$-norms

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:59:14.295272Z

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=2026-08-06T16:59:13.156259Z digest=sha256:57f7f5cc228a28fd7ccc3a8f8f49ca8f25a58183bf311ee1598877cae1c89594

Observation 7186f8b3-e473-4763-bb9e-3fc14ca650fc · outbound

This paper cites On a refinement of the A hlswede-- K atona T heorem.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm On a refinement of the A hlswede-- K atona T heorem

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:15.840321Z

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=2026-08-06T16:59:13.330724Z digest=sha256:3371f1090f70680757e84df8b744d6d2b7e87e2fd73674b89d84d109c8b0e6ef

Observation fca59a25-c05c-47ed-98a5-7bd819e808ae · outbound

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

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm A criterion for Andr\'{a}sfai--Erd\H{o}s--S\'{o}s type theorems and applications

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-06T16:59:13.469650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:59:13.469650Z digest=sha256:e0556bef10a7176a6041ed7ee9d7812e999a4648113206785521d69e3c3aa5c6

Observation 26ac47b0-ad23-41c1-b73e-975390b8fe42 · outbound

This paper cites Hypergraph T ur\'an problems.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Hypergraph T ur\'an problems

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:15.680070Z

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=2026-08-06T16:59:13.637541Z digest=sha256:273c4dbe68c1f1758cc5c306840322e8f16864b09325ac1980b21dc693ecc58a

Observation b4b8f1ec-3c10-4e6a-af10-1b6ff9be9941 · outbound

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

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm On a problem of T ur\' a n in the theory of graphs

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:15.390567Z

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=2026-08-06T16:59:13.739505Z digest=sha256:441e03342571316dd97e6cb8aa7755a732516de18be7a712714803101ce9116c

Observation 0ea5ed81-bd80-461d-b73f-227d7369e9c1 · outbound

This paper cites The T ur\'an number of the F ano plane.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm The T ur\'an number of the F ano plane

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:15.213089Z

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=2026-08-06T16:59:13.799572Z digest=sha256:be5bee235ee33533d8423b085bb0643ab0c51b3b422ec0fae8f96c87af8d9852

Observation d1ac312b-1b4e-4188-b858-e6c05a008a56 · outbound

This paper cites Razborov.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Razborov

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-06T16:59:13.855090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:59:13.855090Z digest=sha256:2a01808132d187a09517ef2d66d66e01fff1b5a1cbe051f66f13218927e037f2

Observation 5d26ba55-c6f9-44f5-a249-63a69f733b8d · outbound

This paper cites Simonovits.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Simonovits

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:15.006902Z

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=2026-08-06T16:59:13.932794Z digest=sha256:ce66d91912ef16e87b97e593cb109fcedbec0d1f86c176819d08597b457deed2

Observation eed4b385-b343-4617-93c5-97da0d115e7f · outbound

This paper cites an unresolved cited work.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:59:14.818446Z

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=2026-08-06T16:59:14.048845Z digest=sha256:0c80915ebcccfade12e2c45aa1c3edb7157f961217bd39ccf9a0bc9361e79542

Observation 1bbf6f68-85d7-4ce9-971f-c039bddcbb17 · outbound

This paper cites Eine E xtremalaufgabe aus der G raphentheorie.

Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm Eine E xtremalaufgabe aus der G raphentheorie

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:59:14.613898Z

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=2026-08-06T16:59:14.115299Z digest=sha256:b8829ea8eccd5c93924206c88d8e7a4e43acb999ddd16cb0f53c39943d4a56d2

Pith citing papers

Observation 2704267d-b547-4a62-9b32-2579feb7cb92 · inbound

Vertex-colored Tur\'{a}n theorems with applications in extremal hypergraph problems cites this paper.

Vertex-colored Tur\'{a}n theorems with applications in extremal hypergraph problems Exact Tur\'{a}n number of the Fano plane in the $\ell_2$-norm

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-07-01T23:36:23.812075Z

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=2026-06-28T14:06:01.673851Z digest=sha256:10f128dc75488bc38522c376617775e01ccc8a81f713f2f7d5761d8a54844843