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Paper Citation Record · LEDGER

Furstenberg sets estimate in the plane

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 inbound Pith citation observations for arXiv:2308.08819.

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

pith.paper-citation-record.v1
2308.08819 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 16 of 16 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:15:01.632615Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T07:06:52.529247Z

Reference resolution

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 417c796a-fdcc-452a-9e96-d1b5932162c4 · inbound

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities cites this paper.

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities Furstenberg sets estimate in the plane

Reference 15

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no resolver link, observed 2026-08-12T21:21:35.579089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T21:21:35.579089Z digest=sha256:3ab3a0a2fa833d841b1164df1466ea2490771c9a7fce7880fea0099eb6f3acc7

Observation f7ec7cb7-29bc-4eb0-9b25-2dcf2e1816a9 · inbound

Pinned Dot Product Set Estimates cites this paper.

Pinned Dot Product Set Estimates Furstenberg sets estimate in the plane

Reference 10

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no resolver link, observed 2026-08-11T05:19:43.648805Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:19:43.648805Z digest=sha256:b87e00f807d3da528e99f268694857d0673244e3b45fd8ff011da2fcea7e87e4

Observation 14dfd4d0-7feb-4e82-823a-681d9ab61051 · inbound

Sum-product phenomena for Ahlfors-regular sets cites this paper.

Sum-product phenomena for Ahlfors-regular sets Furstenberg sets estimate in the plane

Reference 15

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no resolver link, observed 2026-08-10T22:32:37.313312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:32:37.313312Z digest=sha256:5ed6be27176d33244a0d44b8f1bad2a05308180e7b5180d311ee9fb202fa7178

Observation b0415bf1-c6ea-4aa2-81c9-e5422c4648f7 · inbound

Applications of dimension interpolation to orthogonal projections cites this paper.

Applications of dimension interpolation to orthogonal projections Furstenberg sets estimate in the plane

Reference 61

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no resolver link, observed 2026-08-09T00:24:19.424704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T00:24:19.424704Z digest=sha256:600f57c9462cc1dbb15a0d33929a20a7b6c8b9854ef2aab95419a9c691ef42da

Observation 2f11c7d2-4b1e-474a-a251-03adf5c5c9e5 · inbound

Introduction to the proof of the Kakeya conjecture cites this paper.

Introduction to the proof of the Kakeya conjecture Furstenberg sets estimate in the plane

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-15T22:15:01.632615Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:15:01.632615Z digest=sha256:7989730e2387d20f83e3970cc032ecf23285bd410cb057bbd4e41b4bf30abffd

Observation 0bbc03d6-309a-4308-a4a2-d669555bdd02 · inbound

On the packing dimension of unions and extensions of $k$-planes cites this paper.

On the packing dimension of unions and extensions of $k$-planes Furstenberg sets estimate in the plane

Reference 33

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no resolver link, observed 2026-08-15T17:05:52.083626Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:05:52.083626Z digest=sha256:a1fa08e5ced578839366d8969071ff9a56da9161eaee90fa9535628652af2bc7

Observation 82e364f8-1c4d-4341-9c69-55841928cbe0 · inbound

Furstenberg set theorem for transversal families of functions cites this paper.

Furstenberg set theorem for transversal families of functions Furstenberg sets estimate in the plane

Reference 20

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no resolver link, observed 2026-08-05T16:05:20.435948Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:05:20.435948Z digest=sha256:69084ab98c3aaf1ac90233f92d54640e929547a5c23fb34917e776195de182fc

Observation dbc31ff1-379e-4e3b-b6ca-dca811eacac2 · inbound

Algorithmic Information Bounds for Distances and Orthogonal Projections cites this paper.

Algorithmic Information Bounds for Distances and Orthogonal Projections Furstenberg sets estimate in the plane

Reference 30

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no resolver link, observed 2026-08-05T05:39:00.439037Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:39:00.439037Z digest=sha256:c72d2a08ecd744d926c14f68db4221706a6820de5e9e7c9b58e5fc0423b305d7

Observation cfd94c4e-affb-4f6f-8e63-3780037aa0a0 · inbound

Two-ends Furstenberg estimates in the plane cites this paper.

Two-ends Furstenberg estimates in the plane Furstenberg sets estimate in the plane

Reference 3

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no resolver link, observed 2026-08-15T15:51:44.378481Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:51:44.378481Z digest=sha256:f5e376b2405023978084e6ae138db1e0a375a549085519cbac257b84e224f2c5

Observation 264c3e97-904c-4be2-9bec-ee9c440bc561 · inbound

Bourgain-type projection theorems over finite fields cites this paper.

Bourgain-type projection theorems over finite fields Furstenberg sets estimate in the plane

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-17T23:55:31.350830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-17T23:52:47.855586Z digest=sha256:f49a79b33b3c17c228ee6bbc665e81aae824a3412c4a5d43aa62298a45f78457

Observation 2e7273cc-5650-4cad-8257-dc2117e0ddc2 · inbound

The Kakeya conjecture, after Wang and Zahl cites this paper.

The Kakeya conjecture, after Wang and Zahl Furstenberg sets estimate in the plane

Reference 25

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arxiv_id, observed 2026-05-13T18:08:15.820683Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-13T18:04:18.705647Z digest=sha256:2206c0da7e4f5f177019da68b45f7ed90c5430297d6f21f81edf2ed933e163c5

Observation 735d9242-9b3a-4b2c-804c-c71e738da665 · inbound

Projections of sets with optimal oracles onto $k$-planes cites this paper.

Projections of sets with optimal oracles onto $k$-planes Furstenberg sets estimate in the plane

Reference 24

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verified exact
arxiv_id, observed 2026-05-11T05:10:54.637405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-10T18:17:27.861220Z digest=sha256:9b156f8d11a5e3b3000e8e647ae331e788d3d58553dab25145f447d409c02cc7

Observation 64da5795-3fc0-4754-abb1-32b14947c82d · inbound

A note on the sum-product problem for fractal sets cites this paper.

A note on the sum-product problem for fractal sets Furstenberg sets estimate in the plane

Reference 14

Resolution
metadata mismatch
arxiv_id, observed 2026-05-09T22:49:15.685619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-05-09T22:20:17.744369Z digest=sha256:417e6086846f629d6e746996c66cd9872d8a208c40d54a00a3a0f95340ae9b62

Observation 330f0f0b-0456-45c0-88ca-20ff033e82c2 · inbound

Fourier analytic variants of the Furstenberg and Kakeya problems cites this paper.

Fourier analytic variants of the Furstenberg and Kakeya problems Furstenberg sets estimate in the plane

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-22T08:04:43.084606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-05-22T08:03:18.396559Z digest=sha256:36d04f8a9cc8b325ad04ee3546f97705e58b3e90a1a8e74086aec95d6a15a3c0

Observation 7ee1db0f-69d1-45fb-9184-bd250d92b164 · inbound

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay cites this paper.

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay Furstenberg sets estimate in the plane

Reference 12

Resolution
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local_arxiv, observed 2026-07-10T07:06:52.531031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-10T07:05:56.044643Z digest=sha256:8e8218922c08c3f80369146b7b85eb105a52ba28aac4b4491b789e33f32e82c7

Observation eb3132f9-483e-4d88-924a-7b7193d51736 · inbound

Projections of self-affine sets onto lines cites this paper.

Projections of self-affine sets onto lines Furstenberg sets estimate in the plane

Reference 79

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no resolver link, observed 2026-08-02T01:25:12.397580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:25:12.397580Z digest=sha256:990c875b2cd11b3ea3f8ea845bb7069bc2f2f6ff775100ee128fd1e38a55543d