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Paper Citation Record · LEDGER

Improving the Threshold for Finding Rank-1 Matrices in a Subspace

As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 3 inbound Pith citation observations for arXiv:2504.17947.

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

pith.paper-citation-record.v1
2504.17947 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:40:28.715073Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:14:16.322388Z

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

22 of 22 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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

Outbound references

Observation 94b85cc8-b5d5-45ec-bb15-fd2a4f29bd06 · outbound

This paper cites New tools for smoothed analysis: Least singular value bounds for random matrices with dependent entries.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace New tools for smoothed analysis: Least singular value bounds for random matrices with dependent entries

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:29.126134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.618087Z digest=sha256:ab8e054c892b3d107ed47885d8d45cfb6ce7c9a1f5dbfd8082f654fefcf9d486

Observation 21a922d3-fb2b-4deb-b887-9c811d1e2b3c · outbound

This paper cites Buss, Gudmund S.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Buss, Gudmund S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:29.111300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.623388Z digest=sha256:ed63d5475946659642fafc5242bccf2cad79e2e8911f7020a36af053ffb8a3b4

Observation df8a443f-63eb-48ce-b6c9-9e2aa84ac4c3 · outbound

This paper cites Linear systems with a canonical polyadic decomposition constrained solution: Algorithms and applications.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Linear systems with a canonical polyadic decomposition constrained solution: Algorithms and applications

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:29.095641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.628298Z digest=sha256:c5c3b6cf8d0db9e7b1910eea03c797cb19a585c48c4aeee65487179dc2373659

Observation fd300cb7-291f-4a01-87a8-7cedea61b3f9 · outbound

This paper cites Canonical polyadic decomposition of third-order tensors: Relaxed uniqueness conditions and algebraic algorithm.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Canonical polyadic decomposition of third-order tensors: Relaxed uniqueness conditions and algebraic algorithm

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:29.078241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.633061Z digest=sha256:4035b4018bd884947fa915dc53c782ceade3938c5e5dc21d45369bf977f56e4b

Observation fd91d3fa-af38-4c1c-b537-b4dd1dc42927 · outbound

This paper cites X-arability of mixed quantum states.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace X-arability of mixed quantum states

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-16T10:40:28.638178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:40:28.638178Z digest=sha256:82ae6c3421c579d9708e65206f541c7ac9edf58ae6acbeaf2ec3d531433138de

Observation fe82682b-3f08-49de-bcd2-72f2a86bc8bb · outbound

This paper cites A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:29.061938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.643007Z digest=sha256:9f6bbca36e261f2483b0d54e0670fd0af6c8ddf5bfd14f1159478ed951358a6b

Observation 84d59447-afae-4e7b-9a13-b79729cbe9f9 · outbound

This paper cites Fourth-order cumulant-based blind identification of underdetermined mixtures.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Fourth-order cumulant-based blind identification of underdetermined mixtures

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:29.046329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.648199Z digest=sha256:c42c41a8c39edba09d070f33405419143437e306e9938dfd7f6ab9fd10b73c7e

Observation 3627511e-3b78-407b-bcab-7bfde8fb6c16 · outbound

This paper cites Joins and intersections.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Joins and intersections

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:29.030487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.652484Z digest=sha256:dbce984aeaedfbe3570eb19d557546246eb39ac9ff8be00c9b5ef29bfd55f2dc

Observation 58358562-54ad-4a47-a03b-6591d9536325 · outbound

This paper cites Algebraic geometry: a first course , volume 133.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Algebraic geometry: a first course , volume 133

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:29.015062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.656603Z digest=sha256:f12a1b7a449f8b78ab3be400a20d4254838de0f06340cc107f4ed3868a9f9715

Observation 432269fd-a006-4c17-a5e8-b43d756d8f2a · outbound

This paper cites A robust spectral algorithm for overcomplete tensor decomposition.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace A robust spectral algorithm for overcomplete tensor decomposition

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-16T10:40:28.660743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:40:28.660743Z digest=sha256:b0105ab86a5f22ecf31bb35b7c04449d386851a1b5d888faf66cc4dbfbce8c5b

Observation d36c00be-94e0-4654-982b-e0d3748468cd · outbound

This paper cites Computing linear sections of varieties: quantum entanglement, tensor decompositions and beyond.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Computing linear sections of varieties: quantum entanglement, tensor decompositions and beyond

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:28.990447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.665013Z digest=sha256:9d596cbc49eca30c9c65a043ab531d3d531e7a281b834c0a3caf49350a15f74f

Observation 72183ca1-8d4b-402e-90b7-bbabb1491fd9 · outbound

This paper cites Kolda and Brett W.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Kolda and Brett W

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-16T10:40:28.669372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:40:28.669372Z digest=sha256:5098c364908d0dcbcd7ca2a3ed8be849c19123e31b275392e71573f99a8c9e61

Observation a294ef14-fd7a-4fe4-8312-6b2ab7c0093f · outbound

This paper cites Overcomplete tensor decomposition via Koszul-Young flattenings.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Overcomplete tensor decomposition via Koszul-Young flattenings

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-16T10:40:28.675065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:40:28.675065Z digest=sha256:f09026575c6d55ccb8f6feb3959d7edb8025d0eb11228caa2e7ac23af655e65f

Observation 6693ee9c-7960-4bfa-babf-f18d6b1e431b · outbound

This paper cites an unresolved cited work.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-16T10:40:28.963558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.679423Z digest=sha256:924800645fb35e2ff5751ddb6840f441ea8b6d0d78e2a4cdaa5178f03e7a3c6d

Observation 27fe4156-d891-4dd7-bd56-7f44bf4a212f · outbound

This paper cites Entangled subspaces and generic local state discrimination with pre-shared entanglement.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Entangled subspaces and generic local state discrimination with pre-shared entanglement

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:28.948418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.683837Z digest=sha256:6baed41564c49502f6eb95351c64147be6e141cb4bf16992e84e014443e4c1a7

Observation 915ffde4-2277-48d6-aa76-a6900dd774bc · outbound

This paper cites A decomposition for three-way arrays.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace A decomposition for three-way arrays

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:28.932513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.688108Z digest=sha256:41fc8e51cc2dd2b8d1159ac4ba315dcadc7de4d17b0c12ada1ef3bd1751d792c

Observation edd66b6d-0765-4503-b64e-4640af3e276c · outbound

This paper cites Algorithmic Aspects of Machine Learning.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Algorithmic Aspects of Machine Learning

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:28.918081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.692334Z digest=sha256:64ebd04cb79d629a5bc2ae1c3020a315950c907a88bf85b86ed07014fe695dc6

Observation 2b655a8c-4f92-4240-ac8c-f8121aaa8293 · outbound

This paper cites Polynomial-time tensor decompositions with sum-of-squares.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Polynomial-time tensor decompositions with sum-of-squares

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:28.903129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.696886Z digest=sha256:22d0f6b81ce86742aa54d14486c0988483f7cac151772e971981b4973f14c2c8

Observation 364b7741-2eaa-41e1-ab03-44cb2fa7d0e0 · outbound

This paper cites Tensors, sparse problems and conditional hardness.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Tensors, sparse problems and conditional hardness

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:28.887469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.701360Z digest=sha256:0655a4b70da7e3b86a0e46e0cef2dc749d30a5d6d9bd9286d25add5c14294d82

Observation bf362815-0b0a-4bd1-9d02-38287cddc608 · outbound

This paper cites Introduction to Tensor Decompositions and their Applications in Machine Learning.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Introduction to Tensor Decompositions and their Applications in Machine Learning

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-16T10:40:28.705643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:40:28.705643Z digest=sha256:bd4c80147f307d2a6447a7c44a385ec6ed49c08c0a679055d9e4382f2da59e68

Observation e4c776ef-6256-40ed-b4b6-529d6d4e54c2 · outbound

This paper cites A normal form algorithm for tensor rank decomposition.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace A normal form algorithm for tensor rank decomposition

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:40:28.872993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.710620Z digest=sha256:2bd1ea85b343e5d29e8093f2d45a08ab73250c79148dd8eda40893f99fabc49c

Observation 0da5859b-834a-4c89-aac7-4b0825f041de · outbound

This paper cites Efficient Tensor Decomposition.

Improving the Threshold for Finding Rank-1 Matrices in a Subspace Efficient Tensor Decomposition

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-16T10:40:28.755867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-16T10:40:28.715073Z digest=sha256:8a75505f040e7a03a5eb73e2cb07e5b86254920654819cfe917d570b1b7521e6

Pith citing papers

Observation 707e4080-71ad-489a-b08d-d7db205cb39a · inbound

Efficient Tensor Decomposition via Moment Matrix Extension cites this paper.

Efficient Tensor Decomposition via Moment Matrix Extension Improving the Threshold for Finding Rank-1 Matrices in a Subspace

Reference 25

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unresolved
no resolver link, observed 2026-08-06T22:14:16.322388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:14:16.322388Z digest=sha256:6a427bc8cd04f4931b6a790b559e2a6b99b1d136f85341dd796d60780ffa964c

Observation e959c613-68e8-4b0e-a174-9c9ce5e6c0d9 · inbound

Simplicial Regularizability of the Pseudo-Moment Cone and Carath\'eodory-Type Atomic Decomposition of Moment Matrices cites this paper.

Simplicial Regularizability of the Pseudo-Moment Cone and Carath\'eodory-Type Atomic Decomposition of Moment Matrices Improving the Threshold for Finding Rank-1 Matrices in a Subspace

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:55:54.694962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-11T02:09:20.020980Z digest=sha256:7889dd8a14ae789f8898b0a86cb401194d2bb984f5ce697544435d218336298f

Observation cbedde40-e7ad-450a-b394-01c76d3c0b32 · inbound

Beyond Frequency Marching: Orbit Recovery in Dihedral and Projected Multireference Alignment cites this paper.

Beyond Frequency Marching: Orbit Recovery in Dihedral and Projected Multireference Alignment Improving the Threshold for Finding Rank-1 Matrices in a Subspace

Reference 13

Resolution
metadata mismatch
arxiv_id, observed 2026-06-28T03:31:31.258473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-06-27T08:24:14.143991Z digest=sha256:fba7bf432daabc88ae053f44d1a40a0a5b9c7ddc2a78b91bef3263dec5cca91c