Pith. sign in

Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:10.517697Z digest=sha256:1186d0341299ed5573ba163a5220c1bf5e56eec70ffb7d3478f1106d098a7ff1

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:10.646511Z digest=sha256:bb69db9776a292b3c1106dda4c25a567a055af9971fc0486a4e86158f922074f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:10.834080Z digest=sha256:4bd3801f9723ab2b0bb2bfcafb2e9bbdf6a8cd86bfecd9253c936fc391eca9d9

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:10.988913Z digest=sha256:0bc56488fb444228fc9e8423dcff6f29c11517fc7779504b613302c6720b48e6

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:ecc9863f65167075aa7562330f5f1d075587fa270a2548d0d0adb3d229e5c321

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:11.428347Z digest=sha256:acdcd700b3ba124d1d160f96f55b54d79e99b081c3d70615f821c87a4027cca1

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:11.604295Z digest=sha256:c6e73d113b157e190865013752b2a81db3b75df692fea812e5c40c0f611ec119

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=sha256:8f799f7eb2fd8cebe5f7194aaed8973d299f553f12a10948a373ebc2f3d590fd

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:c8b200d13f0fac23c5d18cef86e13be606d43d504181b57619ee5c424a272eee

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=sha256:4a48d6b0fb0b1a523d729fc07685185d0127d822d91314561d121fe7e261c816

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:12.216011Z digest=sha256:0d365f87ceab5632e461a74792c888e19f03d3a64f9f04a25f4c496cbb0c8185

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:d146f23a74affbc1ec3c84e1aef7148e0af59af5be3039d01d07cd1b61ed8288

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:12.515581Z digest=sha256:5377f447c9fccfbf30822b119099aa5040b49944f2f90e15d9ad28f48c04596b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:12.699437Z digest=sha256:c9feae41a1e0b11f9c75b9ab4a94ccba1062067f55f710c4567e9fd28d2fac00

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:12.845275Z digest=sha256:b8c8fad54d9c771dfd4a3065988802e674dba82d2eb5851d4cd34556a26f1b9d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.026408Z digest=sha256:e27574e773ddc1772d28c8256ed1945b829a6bc747d5ab521bce2c4e660157c6

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.156259Z digest=sha256:cb43708987193fb375a38d63786a8640bfd058401dafd8ad5ced1f2c6cce98b2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.330724Z digest=sha256:5d208b5e907d5bc4d907fa68f5a04cd9213204771bba5efc9ea62af8de17757f

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:db216629572b10492e134f123be9c519dde6888ed12899af1f81a2e55d22fd84

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.637541Z digest=sha256:e6639f54669a1a0ba706c2e889e5be03e5238139840e00b5cab6a2baafe4c74b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.739505Z digest=sha256:3974d5d3ffaf39c349e017a3db95cddc426cbd94b137b5f5c243a781bde612ad

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.799572Z digest=sha256:9c99155f075d64a8566c42edba3ad472d239773d16dbe4ae88135a5a7a33ea0f

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:df52c71a5a94e3bae88665c09cace2ddca8d83d90dd00b71791372e82b473c7f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:13.932794Z digest=sha256:7d407d9b78696d962861768cb5b7e44d337bfc7b30aeb42e9dc952b66ae78b46

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:14.048845Z digest=sha256:cc86d8e0cb47bc45fac534bab2142e7b8dc82db654dd259538cb7feedd3e342d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T16:59:14.115299Z digest=sha256:e646d80302a84b603d040470be5fad6f3770921366bf0dbc75fd3e207acc75c8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T14:06:01.673851Z digest=sha256:68fd750723277f67a99c5315109c4e4c2e5a8caab0de618c8a7cb882c51aa6c5