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Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:10.517697Z digest=sha256:15254ffae925a5b8cde239e241ff490c6439ab80b7acba0d9b997e429f5994ac

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:10.646511Z digest=sha256:c241a4fbe5658cd0b88ef1ab6047d1f99df5a7a4116b7060f0e4d52dd56983b6

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:10.834080Z digest=sha256:217335ce7d218a013a3ee86f953104e882cbe4d8e40d2a5f032b0b968c22fab2

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:10.988913Z digest=sha256:2883517332f8ebbff7896b226229bbe25b347362907a457d0a5d3d556ae28a1a

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=sha256:038efd58d22f30399a60039d1bfdbe5318082052cc1ceb871f6a2f7f440bb32e

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:11.428347Z digest=sha256:78f88dd54552afeaab63d03342c3255af2b6f52bfd7a6c69f854640ef40db217

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:11.604295Z digest=sha256:8c5d7514f1071e9b960aaf2b11a2b71cc879cc06d3125e91831877761bf340a4

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:b1a0ac6cb2df9b70c050ab06770dc962fb2a6328fab895ebac5b524eb4418736

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:f4fd5ef65b41655d7f58eb9e1145716e0bc961a887aa53f652bc2782e8126e81

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:a513f01f29f5cdef7522364f591c78dd776a1caed251cd498c77aa27fae77887

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:12.216011Z digest=sha256:40086f5e01e501705c0c37f732b0825fa6c0481e3185a0f27b960a29a4904c19

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=sha256:7542ff29ad8b586b30df622368c64c818f97203b8fd4a4fcc1327bc8a1724a7a

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:12.515581Z digest=sha256:9188a9f33276a8b6aa0fb28cd1228643027b31f18cfc7919c7178fb9c6f637f8

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:12.699437Z digest=sha256:970cad5ed111a09dd7f28146f41db90f71cf6028761e5bfbca9f555896c2be8d

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:12.845275Z digest=sha256:15390f8fc88a262ca428a164585dbda6c8ef06720695d76540241a9c9cd04410

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.026408Z digest=sha256:b8e8e31de625dee0f7d18e5a822a41f561f1eabdcfbef020a0cc2f4bdda31e85

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.156259Z digest=sha256:ce3b81b965e265a41292a8a6c356b1f28db1543d81675fe4685721a4dc4093e6

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.330724Z digest=sha256:e13a56c0d9b28feaac791ce4cc550e7c38998049f25001d8829f74962e5b33fb

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:bb3d2c99cbab0c65b429d2b1a45a97f4f766bce6f44b0e7fdb3fd3b6159146ac

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.637541Z digest=sha256:595e754b8dbc2c93382cad6febe3eba1c346a0429ed3637e735b91ca6c987b88

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.739505Z digest=sha256:f602a9008bf9ce6989f7935eb79250c021f3c0d9d0f02ac9ab0cb95ed691de07

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.799572Z digest=sha256:4aba414c75d1dcef9a98c0eae88c1ff3a2b43da53cf3f2942249620588635625

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:db0309b70dad3da9582e5d1e85ac41103a15949849e7abf925cc5f52e4a757d2

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.932794Z digest=sha256:02bbd8f0ef3ac2f736d52c1e6ad93d56515f6ee45a6d9e1282cc010959d04774

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:14.048845Z digest=sha256:e507609ff638e7c8e76b3a0d88e10f0d8523bcbc66ba143c71be3af4b167232c

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T16:59:14.115299Z digest=sha256:80bb0b72100d73ef9e79999a5719e224aee0f06b9bc012af1563633ed86093da

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-28T14:06:01.673851Z digest=sha256:ad221e376e1ee5486ba9474ed84c88b7df500e8f17b60e30348ad324c99cfa63