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Paper Citation Record · LEDGER

Positive Measure of Unions of Variable Surfaces

As of 15 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 2 inbound Pith citation observations for arXiv:2605.27550.

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

pith.paper-citation-record.v1
2605.27550 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T14:31:18.031509Z

measured 26 of 26 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:24:46.677369Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T00:35:30.313036Z

Reference resolution

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved24
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 06556809-4dc9-41ca-9640-352bf2dc57e2 · outbound

This paper cites an unresolved cited work.

Positive Measure of Unions of Variable Surfaces Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:5d29479a297cd662b2099c7030dbc89e4aa7b04c5a132a5ee9863139c8bf7547

Observation 9ba9d571-e58b-47d0-bf05-1757b07b3009 · outbound

This paper cites Bongers, P.

Positive Measure of Unions of Variable Surfaces Bongers, P

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:ee2d361d133fdabf600414dfc7bacc2e922614e4bac0dae656258074903c0dca

Observation 19825bfe-60a2-4945-9fa6-780b69ebc1b3 · outbound

This paper cites Bongers and K.

Positive Measure of Unions of Variable Surfaces Bongers and K

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:32a9e1d31021f7474a65bc67138367a0450785fc7617d71fcff2e14a641a6808

Observation 5898bd34-b7c7-4ca9-a657-d8ecc4089462 · outbound

This paper cites Bourgain.L p-estimates for oscillatory integrals in several variables.Geom.

Positive Measure of Unions of Variable Surfaces Bourgain.L p-estimates for oscillatory integrals in several variables.Geom

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:1d221558afa9d70a4ca5f7ef6cf847770b1ddee5cc25b41734a5977f7773b9a9

Observation 2f5eab71-072d-4b0a-8f86-6e72df344797 · outbound

This paper cites Cladek, B.

Positive Measure of Unions of Variable Surfaces Cladek, B

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:0f4eb5f9c9069a91b8a24d27c6eb14c28c326e94f5b155cba478ac0a32d47d67

Observation fddaaf64-9a8a-4a76-a827-50a0ee32ab95 · outbound

This paper cites Eswarathasan, A.

Positive Measure of Unions of Variable Surfaces Eswarathasan, A

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:91815ba308fff6c0d43b5c230e709c7ca658a8f89293f278396857222752e641

Observation 045f85b9-bb62-4808-94ea-4759f85e55f7 · outbound

This paper cites F¨ assler, A.

Positive Measure of Unions of Variable Surfaces F¨ assler, A

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:708d1487333dabe467487718cdd154302e566efc5e6daffbee0b8767ac4a79b7

Observation 91e60319-659f-410e-b286-2757f02be5d7 · outbound

This paper cites an unresolved cited work.

Positive Measure of Unions of Variable Surfaces Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:5587a8aa3b782b3be4000422152273b5682c1367dfb5fc853d68b3e8f5fc1a4e

Observation d72b077d-176d-431f-b3f1-8b7507ae0035 · outbound

This paper cites Iosevich, H.

Positive Measure of Unions of Variable Surfaces Iosevich, H

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:9af98b17569e7297dad750d92c5b3f068c8c67a9fe33de398c39b822438dda13

Observation a7dc2546-b9f8-416c-9acd-214745379d78 · outbound

This paper cites Iosevich and I.

Positive Measure of Unions of Variable Surfaces Iosevich and I

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:5f086e9a10408baa39008fb05220493a3adeb6c453891c79026ca0c30ce6fdf7

Observation d7a1f14a-29cb-4e4d-89a6-1ed3c107e4d6 · outbound

This paper cites an unresolved cited work.

Positive Measure of Unions of Variable Surfaces Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:74d5077c99d5cf02257a0046e2267cf0563d3fb0ac9a2d369dfbefeee8ea439e

Observation d5f22628-13d4-425d-9303-da7233a549db · outbound

This paper cites Li and K.

Positive Measure of Unions of Variable Surfaces Li and K

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:1a024ce6ee24f6ed9730f31d8ab5bd6fa6cef3f59e46f347c44f3ee92951394c

Observation 4d357ab0-6be1-4735-b9df-d86b93b073c8 · outbound

This paper cites an unresolved cited work.

Positive Measure of Unions of Variable Surfaces Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:a41a4cb43fad5e902d6b2791b23972a5f1a515736b5fe62ad91a00ebae10b76c

Observation da7633e9-5bf1-4113-9808-bbbdab27d440 · outbound

This paper cites an unresolved cited work.

Positive Measure of Unions of Variable Surfaces Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:a3c537280d63632c9ea0ef9ce03228c1e6a1380d61e12dc11e344e18c7222ad9

Observation 3d5e4449-4925-43bc-b173-8076f35d540d · outbound

This paper cites Nadjimzadah.

Positive Measure of Unions of Variable Surfaces Nadjimzadah

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:0622d4b0dbf68073280e0b11f4a2bacd188853c3d41b77157e7151e9e094075e

Observation 54d958de-fc1b-4211-a717-f22112f4145b · outbound

This paper cites an unresolved cited work.

Positive Measure of Unions of Variable Surfaces Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:28a3787238de04cb6bf911f2d28eababacd179a92d44b4b4238add73e68181a0

Observation be34b362-96c7-415a-a196-d20255575c42 · outbound

This paper cites an unresolved cited work.

Positive Measure of Unions of Variable Surfaces Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:ffd819ebb2461ffcc7918f63d139fe84b869da0b299046114cdd099d70193d03

Observation 0d4b2b89-e443-4b82-811d-970eedf67be5 · outbound

This paper cites Simon and K.

Positive Measure of Unions of Variable Surfaces Simon and K

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:e63d214a103482d6180ed0dc4108fe66d8cecd88e1043b829a1dfdbd7cea3373

Observation ff4ee671-a084-4c18-8b63-ac5cb15bd1cf · outbound

This paper cites an unresolved cited work.

Positive Measure of Unions of Variable Surfaces Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:3f4769b0eaa9bbb8e4515496f365f9e116bbaf3895c41cf01fe677377ea39380

Observation 41599c3a-de58-4c41-a736-24f357a46f96 · outbound

This paper cites an unresolved cited work.

Positive Measure of Unions of Variable Surfaces Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:276bc6a70df7fe4f870a6fba78ec638becca84ea8bed1323f9df6259c4ca5868

Observation 2563ef62-6d00-481a-a6de-61f0f7bbfe91 · outbound

This paper cites Srivastava and K.

Positive Measure of Unions of Variable Surfaces Srivastava and K

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:9d814d7ebd923a3a8008c3fe9f58083011095f68721a38a62049b5c814ab51cf

Observation edb95d04-e75d-4024-b51e-00c967fc4839 · outbound

This paper cites an unresolved cited work.

Positive Measure of Unions of Variable Surfaces Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:f4d28eb23110b82cff7905383de633e2bff8d0bd9f9dd425cda0a4f5bd6b60f4

Observation f5544f45-d5db-48bb-a20a-4da7cad22e0a · outbound

This paper cites Talagrand.

Positive Measure of Unions of Variable Surfaces Talagrand

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:712ccc351c2ed3bd898e481d4e636aee6c11df14bfc20dc7dd6dd8c7d976cbfd

Observation 7f112c23-25aa-406b-94ff-38c04b1dd517 · outbound

This paper cites an unresolved cited work.

Positive Measure of Unions of Variable Surfaces Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-29T14:31:18.031509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T14:31:18.031509Z digest=sha256:4026d48c77f47aab102a68e37038a32616c6eac427f7599d11069749ee47f79a

Pith citing papers

Observation 1e96fa1b-44f9-4986-a5f0-4e6ee804cf73 · inbound

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set cites this paper.

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Set Positive Measure of Unions of Variable Surfaces

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:35:30.320674Z

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=2026-08-12T00:35:30.239552Z digest=sha256:6ccf8d725820a562769e4566ea3508da5c6ffacd9efc13feb348c74fe0ebfe02

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

Applications of Nonlinear Projections to Rectifiable 1-sets cites this paper.

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