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Paper Citation Record · LEDGER

Improved Bounds for Szemer\'{e}di's Theorem

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2402.17995.

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

pith.paper-citation-record.v1
2402.17995 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:42:17.382917Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
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  • malformed identifier0
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External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 0128e70f-602f-4463-89b3-d5fd6d511ff8 · inbound

Reasonable Bounds for Combinatorial Lines of Length Three cites this paper.

Reasonable Bounds for Combinatorial Lines of Length Three Improved Bounds for Szemer\'{e}di's Theorem

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-12T14:42:17.382917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:42:17.382917Z digest=sha256:ff3ad124fc29b7e6faf0ad9f0ea290f2a47ce694fddc7650a897e6e8e5a5e9f4

Observation b2a6ac12-e71d-4954-858b-bdf64641b30c · inbound

On polynomial progressions via transference cites this paper.

On polynomial progressions via transference Improved Bounds for Szemer\'{e}di's Theorem

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T00:46:38.523059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:46:38.523059Z digest=sha256:4cdc2e039b34177ae3160975866bc4c172f22baf508c8525ddc5b9916daef698

Observation 9d6a7d50-ad98-496f-b5ae-d944e63b6156 · inbound

On a Ramsey--Tur\'{a}n variant of Roth's theorem cites this paper.

On a Ramsey--Tur\'{a}n variant of Roth's theorem Improved Bounds for Szemer\'{e}di's Theorem

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T11:54:42.987722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:54:42.987722Z digest=sha256:3c95e4c0e9701932be3eee7daaea0416fdcda28cb49f0a359e5c8d50c2030155

Observation 8e9d2a0a-7c12-419b-99a6-d63f09f42da7 · inbound

Roth's Theorem in Super Smooth Numbers cites this paper.

Roth's Theorem in Super Smooth Numbers Improved Bounds for Szemer\'{e}di's Theorem

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-04T09:03:29.931923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:03:29.931923Z digest=sha256:92e1fa7a8dca00e522b3ee84e1f05f064f7049b6b2faf6d5ced11113f5fead5e

Observation bed61c49-db32-4aa9-a571-c4c7f8fe072c · inbound

Simplex volumes in hyperplane arrangements cites this paper.

Simplex volumes in hyperplane arrangements Improved Bounds for Szemer\'{e}di's Theorem

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-03T16:43:33.360325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:43:33.360325Z digest=sha256:c6f4a1e417bf3210a1b6c86b849363eef537e6f41b27cd7f2d259154129fef3f

Observation 79e23ef8-5852-42d1-98da-2e665026c20f · inbound

Non-existence probabilities and lower tails in the critical regime via Belief Propagation cites this paper.

Non-existence probabilities and lower tails in the critical regime via Belief Propagation Improved Bounds for Szemer\'{e}di's Theorem

Reference 38

Resolution
verified exact
arxiv_id, observed 2026-05-10T22:30:51.885205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T19:47:31.283256Z digest=sha256:13275c93a03d6864b8bd35a1dd05f567d7aea145ad8103c5913fe33ddb5bc249

Observation c818fc35-4aa3-461f-a3b1-e4bf130f182a · inbound

A multidimensional Szemer\'{e}di theorem in integers cites this paper.

A multidimensional Szemer\'{e}di theorem in integers Improved Bounds for Szemer\'{e}di's Theorem

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:26:17.228155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-08T05:34:13.561760Z digest=sha256:af6cc0f176ecf4275ec99c5ddfc106f948a7f7865dd475c5f64d46c1cf75a499

Observation 8c59ff0a-7b0b-4c71-a727-5622f2dd7626 · inbound

On hyperbolic corners and unit-area triangles in planar sets of large measure cites this paper.

On hyperbolic corners and unit-area triangles in planar sets of large measure Improved Bounds for Szemer\'{e}di's Theorem

Reference 37

Resolution
verified exact
arxiv_id, observed 2026-06-29T00:02:50.036918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-28T23:54:01.597389Z digest=sha256:709e2a69a6dfdf0dff85f1ff7654290d6ca0766056e743f88160a8fff86ccfb2

Observation 26167334-e762-4914-a195-8ee3e1e7f6f6 · inbound

Hitting Arithmetic Progressions at the Square-Root Scale cites this paper.

Hitting Arithmetic Progressions at the Square-Root Scale Improved Bounds for Szemer\'{e}di's Theorem

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-01T23:36:22.112337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-28T14:16:26.197327Z digest=sha256:3e8524e7f5b42f94b430d4be5e6b0e9ba42c12a856b0520a6bd134cb37cf07d2

Observation 231cf0b9-cb50-46c4-8144-37c540c3bad9 · inbound

Three-color van der Waerden numbers grow super-exponentially cites this paper.

Three-color van der Waerden numbers grow super-exponentially Improved Bounds for Szemer\'{e}di's Theorem

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-07-02T00:06:23.097628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-28T13:42:01.789309Z digest=sha256:2acaebe382b1a5bf298e5c582965ae128cd1a408744db62e4b4796b2c6cc2797

Observation af2782f6-8167-4de9-b651-8e0ad3a81d24 · inbound

Arithmetic Progression-Free Subset-Sum Sets cites this paper.

Arithmetic Progression-Free Subset-Sum Sets Improved Bounds for Szemer\'{e}di's Theorem

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-06-26T00:18:42.666941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-26T00:11:22.679868Z digest=sha256:d94c9492e5edb129b764edcdea7212035412f5fadb9dbd9695ba8d1f537779f6

Observation 0b2773f9-e082-486e-afb4-f15f219e084f · inbound

Counting subsets of integers free of arithmetic configurations cites this paper.

Counting subsets of integers free of arithmetic configurations Improved Bounds for Szemer\'{e}di's Theorem

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-01T17:18:23.353103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T17:18:23.353103Z digest=sha256:fcf4009d5c9c621d1c484e88701b1c5a83cb0096ff9eb196950d6fc814b68071

Observation bbada609-8d6b-497d-8ebb-16b768e909b7 · inbound

Random linear configurations in dense sets and primes cites this paper.

Random linear configurations in dense sets and primes Improved Bounds for Szemer\'{e}di's Theorem

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-31T18:05:18.135865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T18:05:18.135865Z digest=sha256:982da7938f94e32350d0522b969317e40d6e216d257464fdc0c923aa8c021f9f