Pith. sign in

Paper Citation Record · LEDGER

Applications of Nonlinear Projections to Rectifiable 1-sets

As of 15 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2608.10253.

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

pith.paper-citation-record.v1
2608.10253 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:24:47.275090Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

  • verified exact2
  • verified fuzzy10
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 524c994e-5726-436c-b01e-7d8740294671 · outbound

This paper cites Bourgain.

Applications of Nonlinear Projections to Rectifiable 1-sets Bourgain

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:24:49.206344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.436150Z digest=sha256:1de2628d9ea3417c8086b8a5344846adad2786cea67798bb30aa876484b39074

Observation c284e861-81af-4037-b332-753ef59b4319 · outbound

This paper cites Radial Projections in $\mathbb{R}^n$ Revisited.

Applications of Nonlinear Projections to Rectifiable 1-sets Radial Projections in $\mathbb{R}^n$ Revisited

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T04:24:46.481865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:24:46.481865Z digest=sha256:32d0f57b6dcf80398f76beb684e5e7f67e101252aba1f06338ee65348199b408

Observation cf5fc561-3993-46ec-8e30-609ed6934796 · outbound

This paper cites Bright and S.

Applications of Nonlinear Projections to Rectifiable 1-sets Bright and S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:24:49.167005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.534749Z digest=sha256:f4e332c1df03c87775faf8bbd5a9d6245a608e1fcc5f6902dc3724200e76625f

Observation 1dfdcdc8-d9ec-49e2-a1df-0e43ae5866c9 · outbound

This paper cites Improved bounds for radial projections in the plane.

Applications of Nonlinear Projections to Rectifiable 1-sets Improved bounds for radial projections in the plane

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T04:24:46.584824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:24:46.584824Z digest=sha256:ed4c5b490cba1cf855b749f94bb7c7c619b5bb4fe680e94edfaa2e74f83be9c3

Observation 61f95426-7fba-493b-a727-251025aa2b15 · outbound

This paper cites New improvement to Falconer distance set problem in higher dimensions.

Applications of Nonlinear Projections to Rectifiable 1-sets New improvement to Falconer distance set problem in higher dimensions

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T04:24:46.604075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:24:46.604075Z digest=sha256:b8a0f99d5942d13a7d32b4c8c64257c64a43199a9ae369bf13e74d61e0edff53

Observation cb20f6a2-b50c-49b8-9abd-c57ac5fb766a · outbound

This paper cites an unresolved cited work.

Applications of Nonlinear Projections to Rectifiable 1-sets Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:24:49.138202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.635890Z digest=sha256:8f3513a6ea1390e6dfb706202d99ef667e70899149c1de8dc1066f6b93ed2740

Observation 764d8782-afcb-45a9-9a31-da44dac9870d · outbound

This paper cites Federer.Geometric Measure Theory.

Applications of Nonlinear Projections to Rectifiable 1-sets Federer.Geometric Measure Theory

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:24:49.079537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.653306Z digest=sha256:213b1467d3a103e0e36988954fec978a35e7b9bd2c2f1667cf5cf67a3d8f5358

Observation 3dc50b20-3697-4a58-9742-1bbafdd1f106 · outbound

This paper cites an unresolved cited work.

Applications of Nonlinear Projections to Rectifiable 1-sets Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:24:48.954438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.663751Z digest=sha256:80e48f06e9b319f7433b2663848001fca909fd4cf3fdcdbb8148e0812cb056fa

Observation 02450718-e16c-4e88-8dfb-e9812e87fb53 · outbound

This paper cites Positive Measure of Unions of Variable Surfaces.

Applications of Nonlinear Projections to Rectifiable 1-sets Positive Measure of Unions of Variable Surfaces

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T04:24:46.677369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:24:46.677369Z digest=sha256:8d29feb8658ba3d2cb2de1422b2bf4912c34347696b2381bd4c55f97369dd096

Observation 11de2820-0429-4d76-bd25-f6ed0887a163 · outbound

This paper cites an unresolved cited work.

Applications of Nonlinear Projections to Rectifiable 1-sets Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:24:48.917275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.693644Z digest=sha256:c645025e00543b005a36b6a70c58a84eb0e6515c071dcf9d43cbe355e2fb8843

Observation e9e4e89f-9136-4749-be20-910023fb67c8 · outbound

This paper cites Favard length and generalized projections.

Applications of Nonlinear Projections to Rectifiable 1-sets Favard length and generalized projections

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:24:47.601889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.724751Z digest=sha256:1fbb62f71a33d92b79528e04f1e431dbea13cf90b28d0d5d2e5c4e38bc21273f

Observation 8876d515-b183-4d5f-a330-d1981caccb09 · outbound

This paper cites A Quantified Two-projection Theorem for Nonlinear Projections.

Applications of Nonlinear Projections to Rectifiable 1-sets A Quantified Two-projection Theorem for Nonlinear Projections

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:24:47.458195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.741217Z digest=sha256:e1fd71a41dc61c8859d9ffa31b67f98d7fb6ccebd9e6b956be9039bb3f630379

Observation 761bdb07-d91d-4dd5-a9f4-ea8bc5a81dfa · outbound

This paper cites Improved Power Laws for the Favard Length Problem in All Dimensions.

Applications of Nonlinear Projections to Rectifiable 1-sets Improved Power Laws for the Favard Length Problem in All Dimensions

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T04:24:46.758481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:24:46.758481Z digest=sha256:f856d9543e82ea93d21e14c92b61168f3a06174c1e6b59df69ebc18fd3c63ccc

Observation e4abc30f-a5e4-4023-90b2-2916fe08d960 · outbound

This paper cites Marshall.

Applications of Nonlinear Projections to Rectifiable 1-sets Marshall

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:24:48.857960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.794766Z digest=sha256:39049a7b7921beb4253ce9071f4113bfbf82be1697d8688cc12c460b192d2ae6

Observation 13d4dfe8-078b-4b7e-b578-9257477c7006 · outbound

This paper cites an unresolved cited work.

Applications of Nonlinear Projections to Rectifiable 1-sets Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T04:24:46.827342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:24:46.827342Z digest=sha256:3a8dd1b07ad7de09ce22f8e48d3dc7e477c2a32245641a56432b0aabeb5118c8

Observation 175dc308-9ef7-452b-b51b-a10769959d7e · outbound

This paper cites an unresolved cited work.

Applications of Nonlinear Projections to Rectifiable 1-sets Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:24:48.734736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.864896Z digest=sha256:c995f5428995f1dc0dfec5658e9c6641b8d860f74555c5e5fdacc4a792894595

Observation f29de6ed-aefc-4394-8817-e981fc7dc429 · outbound

This paper cites Mattila.Geometry of sets and measures in Euclidean spaces, volume 44 ofCambridge Studies in Advanced Mathematics.

Applications of Nonlinear Projections to Rectifiable 1-sets Mattila.Geometry of sets and measures in Euclidean spaces, volume 44 ofCambridge Studies in Advanced Mathematics

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T04:24:46.907393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:24:46.907393Z digest=sha256:941141907f20bc88a4f6be89baacce0dc6be815228825237eae9d97ec7153005

Observation e50d9cda-fc1b-4d0b-96b9-931b24ea8688 · outbound

This paper cites Mattila and T.

Applications of Nonlinear Projections to Rectifiable 1-sets Mattila and T

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:24:48.592263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.954743Z digest=sha256:c271813252fd92b8a604678e13858e958f26422a38ead107a30a778b72f4e15c

Observation 8fd0008f-1095-48d7-9c8d-ab17c5b1530e · outbound

This paper cites an unresolved cited work.

Applications of Nonlinear Projections to Rectifiable 1-sets Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:24:48.567770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.979578Z digest=sha256:f47bf69215b0b7982ed64d8ad4b1674fa7541897041524b26702a351a607e710

Observation 50011401-ed72-4a7f-a971-c5dd9531c39f · outbound

This paper cites Nazarov, Y.

Applications of Nonlinear Projections to Rectifiable 1-sets Nazarov, Y

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:24:48.547179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:46.988762Z digest=sha256:d34931433025b89d2a1a58a24820c544e90443c290aef7aed7e5bcc4c8403b61

Observation 421c8de6-e934-4803-a1e7-73cc016c9751 · outbound

This paper cites an unresolved cited work.

Applications of Nonlinear Projections to Rectifiable 1-sets Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:24:48.510754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:47.008436Z digest=sha256:0daf8e070ce504c67bcb1a8ddbff06640538393cc68aaeda2f7e037ef8c58153

Observation 9e7a0112-4829-4d90-abb1-41199e275ce0 · outbound

This paper cites an unresolved cited work.

Applications of Nonlinear Projections to Rectifiable 1-sets Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:24:48.454366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:47.029162Z digest=sha256:93339d289e91025d0defb1689a25c28908806270657c51f23c3d794c11e19637

Observation 06850cb1-e74b-4eb0-905b-6c1d3e8ed485 · outbound

This paper cites an unresolved cited work.

Applications of Nonlinear Projections to Rectifiable 1-sets Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:24:48.385734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:47.065147Z digest=sha256:7605f5b183a961c621281e630d4f6698c2d85b7ff1fa75411edb440c4bd4a0ec

Observation 76b40031-d74c-4a59-adfd-53d8995fbb66 · outbound

This paper cites Orponen and T.

Applications of Nonlinear Projections to Rectifiable 1-sets Orponen and T

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:24:48.319051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:47.116616Z digest=sha256:672e90d85b499606cae1ec951d439efd08ff48d20ed57fd3bab400fe845f673c

Observation 5b88971a-2c25-4a28-8b67-c61d58708de1 · outbound

This paper cites Orponen, P.

Applications of Nonlinear Projections to Rectifiable 1-sets Orponen, P

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:24:48.244750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:47.130366Z digest=sha256:dae6aabaeb729b549a14aa4705f672c3dc1647e1801071fd4a9b44ac68f7a01e

Observation 22c5f66b-2ae0-4296-869c-d4111d222bb5 · outbound

This paper cites Discretized Radial Projections in $\mathbb{R}^d$.

Applications of Nonlinear Projections to Rectifiable 1-sets Discretized Radial Projections in $\mathbb{R}^d$

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-14T04:24:47.143392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:24:47.143392Z digest=sha256:81fb5693e17af4c617fe6b9deb7676b336ac5d51369817230af42898ab53c5cb

Observation cd9fc094-9479-4a2f-b9f9-c2ed0723e623 · outbound

This paper cites Simon and K.

Applications of Nonlinear Projections to Rectifiable 1-sets Simon and K

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:24:48.085181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:47.184893Z digest=sha256:9bd86f39732a72edfe391b7918759515c55ee717a883d5cce1e1b41df9823e8a

Observation dfac304c-ade5-403b-9c90-945105106a6b · outbound

This paper cites Talagrand.

Applications of Nonlinear Projections to Rectifiable 1-sets Talagrand

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:24:47.998911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:47.234837Z digest=sha256:7cd6f4dcbfb000e24e5fb9d53d915bf36817202b9b13a9c774031af6e87554a6

Observation 73c4ecac-427b-46b5-b0da-b06d6edbb345 · outbound

This paper cites an unresolved cited work.

Applications of Nonlinear Projections to Rectifiable 1-sets Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:24:47.889195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:24:47.275090Z digest=sha256:4f89efdf49fb45471250d3ad19079b76366c09602a47eefb1f448c9fac8479dc

Pith citing papers

No inbound Pith citation observations are available.